1 of 69

NAVIGATING THE DIGITAL SAT:

The What, When, and How of the Digital SAT

PRESENTED BY

Jennifer Winward, Ph.D.

JULY 2025

Founder & CEO, Winward Academy

WINWARDACADEMY.COM

2 of 69

2

01

Overview of Changes

02

SAT Structure & Scoring

03

Digital SAT Interface

04

How to Best Prepare

05

Accommodations

Agenda

EVERYONE’S PRIVATE TUTOR ^®

3 of 69

Overview of Changes

NAVIGATING THE DIGITAL SAT

01

3

EVERYONE’S PRIVATE TUTOR ^®

4 of 69

Overview of Digital SAT

Reading and Writing and Math Modules

4

BRIEF PAUSE

READING AND WRITING SECTION

Module 1

A blend of easy, medium, �and hard questions

32

MINUTES

QUESTIONS

27

Module 2

Adaptive: easier or harder based on performance in Module 1

32

MINUTES

QUESTIONS

27

MATH SECTION

Module 1

A blend of easy, medium, �and hard questions

BRIEF PAUSE

35

MINUTES

QUESTIONS

22

Module 2

Adaptive: easier or harder based on performance in Module 1

35

MINUTES

QUESTIONS

22

USING A CALCULATOR IS ALLOWED ON BOTH MODULES

2

“PRE-TEST” QUESTIONS IN EACH MODULE

*These are not scored

EVERYONE’S PRIVATE TUTOR ^®

5 of 69

SAT Scoring Breakdown

5

200–800

POINTS

POSSIBLE

Reading & Writing

MATH

200–800

POINTS

POSSIBLE

Calculated as Reading and Writing + Math

(400–1600 POSSIBLE SCORE)

EVERYONE’S PRIVATE TUTOR ^®

6 of 69

SAT: Module Details

6

	READING AND WRITING MODULES COLLEGE READY SCORE - 480	MATH MODULES COLLEGE READY SCORE - 530
TIMING	64 MINUTES 32 min Stage 1 32 min Stage 2	70 MINUTES 35 min Stage 1 35 min Stage 2
QUESTIONS	54 QUESTIONS 27 in Stage 1 27 in Stage 2	44 QUESTIONS 22 Q in Stage 1 (5–6 SPR) 22 Q in Stage 2 (5–6 SPR)
TIME PER QUESTION	1.2 min per question, �both stages	1.6 min per question,�both stages

EVERYONE’S PRIVATE TUTOR ^®

7 of 69

Digital SAT Test Day

Comparing Regular Time vs. Extended Time

THE DIGITAL SAT (dSAT)�WAS DESIGNED TO APPEAL�TO STUDENTS.

It is much shorter (46 min. shorter)

36 fewer minutes in Reading
10 fewer minutes in Math

Long reading passages are removed
Calculators are allowed on all �math sections

7

Digital SAT: Regular Time

4 Sections, 2 Hours and 14 Minutes

Digital SAT: 1.5 Extended Time

4 Sections, 3 Hours and 22 Minutes

Reading �& Writing 1

�Math 1

27 QUESTIONS

22 QUESTIONS

10 MINUTE BREAK

27 QUESTIONS

22 QUESTIONS

10 MINUTE BREAK*

32MIN

35MIN

48MIN

53MIN

41MIN

32MIN

27 QUESTIONS

Reading �& Writing 2

�Math 2

22 QUESTIONS

27 QUESTIONS

Reading �& Writing 1

�Math 1

Reading �& Writing 2

�Math 2

53MIN

22 QUESTIONS

EVERYONE’S PRIVATE TUTOR ^®

8 of 69

SAT Structure & Scoring

NAVIGATING THE DIGITAL SAT

02

8

EVERYONE’S PRIVATE TUTOR ^®

9 of 69

9

EVERYONE’S PRIVATE TUTOR ^®

10 of 69

10

EVERYONE’S PRIVATE TUTOR ^®

11 of 69

11

EVERYONE’S PRIVATE TUTOR ^®

12 of 69

Exam Structure & Scoring

Adaptive scoring module breakdown for the Reading and Writing section

12

READING AND WRITING EXAM SECTION

POSSIBLE SCORE

~450–800

POSSIBLE SCORE

~200–600

> 65% Accuracy

MODULE 1

A blend of easy, medium, �and hard questions

8 EASY QUESTIONS

9 MEDIUM QUESTIONS

8 HARD QUESTIONS

2 UNSCORED QUESTIONS

Get 18 or more right (out of 27),�go to the harder module 2

Get fewer than 18 right (out of 27),�go to the easier module

< 65% Accuracy

12 EASY QUESTIONS

10 MEDIUM QUESTIONS

3 HARD QUESTIONS

2 UNSCORED QUESTIONS

MODULE 2

Harder

Easier

MODULE 2

3 EASY QUESTIONS

11 MEDIUM QUESTIONS

11 HARD QUESTIONS

2 UNSCORED QUESTIONS

EVERYONE’S PRIVATE TUTOR ^®

13 of 69

Exam Structure & Scoring

Adaptive scoring module breakdown for the Math section

13

MATH EXAM SECTION

POSSIBLE SCORE

~450–800

POSSIBLE SCORE

~200–600

> 60% Accuracy

MODULE 1

A blend of easy, medium, �and hard questions

6 EASY QUESTIONS

8 MEDIUM QUESTIONS

6 HARD QUESTIONS

2 UNSCORED QUESTIONS

Get 13 or more right (out of 22),�go to the harder module 2

Get fewer than 13 right (out of 22),�go to the easier module 2

< 60% Accuracy

10 EASY QUESTIONS

8 MEDIUM QUESTIONS

2 HARD QUESTIONS

2 UNSCORED QUESTIONS

MODULE 2

Harder

Easier

MODULE 2

2 EASY QUESTIONS

9 MEDIUM QUESTIONS

9 HARD QUESTIONS

2 UNSCORED QUESTIONS

EVERYONE’S PRIVATE TUTOR ^®

14 of 69

Exam Structure & Scoring

Introduction to Item Response Theory scoring

14

ITEM RESPONSE THEORY (IRT)

WHAT DOES IRT TAKE INTO CONSIDERATION?

Method of developing and scoring tests with �questions (items) of different difficulty levels

Purpose: To effectively differentiate test-takers in �terms of ability on an underlying trait (i.e., math skills)

Number of questions answered correctly

Difficulty of each question

Probability of answering correctly—based on item difficulty and test-taker ability

EVERYONE’S PRIVATE TUTOR ^®

15 of 69

Digital SAT Interface

NAVIGATING THE DIGITAL SAT

03

15

EVERYONE’S PRIVATE TUTOR ^®

16 of 69

Digital SAT Interface

Bluebook app

BLUEBOOK APP �HTTPS://BLUEBOOK.APP.COLLEGEBOARD.ORG

This is an app that will need to be installed on your device before using
The app is where you will take your actual dSAT and there are options available to practice with the app beforehand

Currently, there are 6 practice tests available on Bluebook

Students can access their results from practice tests by logging into their CollegeBoard account

16

EVERYONE’S PRIVATE TUTOR ^®

17 of 69

Digital SAT Interface

Key test taking features

GENERAL dSAT INTERFACE FEATURES:

Timer to view or hide (always visible in last 5 minutes)
Bookmark to mark questions for review
Elimination to cross off wrong answer choices
Highlight to mark Reading or Writing passages
Annotate to write yourself notes

dSAT MATH INTERFACE FEATURES:

Math formulas
Calculator for all problems

17

Bookmark Question

View/Hide Timer

Annotate Notes

Eliminate Answers

EVERYONE’S PRIVATE TUTOR ^®

18 of 69

Digital SAT Interface

Math modules

GRID-INS

Student Produced Responses (i.e., Grid-ins) are intermingled with multiple choice questions
Grid-in answers can now be negative

CALCULATORS

There will be a built in Desmos graphing �calculator in the Bluebook App
Students can use their own approved calculator
In-depth practice with Desmos beforehand �helped significantly

18

EVERYONE’S PRIVATE TUTOR ^®

19 of 69

How to Best Prepare

NAVIGATING THE DIGITAL SAT

04

19

EVERYONE’S PRIVATE TUTOR ^®

20 of 69

How to Best Prepare

What to practice in advance

Familiarize yourself with the features before the day of the exam

Learn how to utilize the Desmos calculator and where to access the reference sheets

PRACTICE WITH BLUEBOOK AND ONLINE FORMAT

PRACTICE YOUR SCRATCH PAPER STRATEGY

Students are only allowed five sheets �of paper - be efficient

Fold or draw grids to keep work organized by question

Number your work as you go

20

EVERYONE’S PRIVATE TUTOR ^®

21 of 69

Accommodations

NAVIGATING THE DIGITAL SAT

05

21

EVERYONE’S PRIVATE TUTOR ^®

22 of 69

Accommodations

Updates regarding access to individual �testing accommodations

ACCOMMODATIONS WILL STILL BE AVAILABLE �FOR THE DIGITAL SAT

Certain accommodations are no longer needed �(i.e., large print)
Other accommodations have changed in delivery �(i.e., replace human reader or braille test with text-to-speech feature)
Extended time or breaks are offered
If an accommodation cannot be satisfied digitally, students may qualify for a non-adaptive, paper-based version of the dSAT

22

EVERYONE’S PRIVATE TUTOR ^®

23 of 69

NAVIGATING THE DIGITAL SAT:

Deep Dive on the Reading & Writing Modules

PRESENTED BY

Jennifer Winward, Ph.D.

JULY 2025

Founder & CEO, Winward Academy

WINWARDACADEMY.COM

24 of 69

Deep Dive on the �Reading and Writing Modules

NAVIGATING THE DIGITAL SAT

01

24

EVERYONE’S PRIVATE TUTOR ^®

25 of 69

Reading and

Writing Modules

Exam Scoring and Structure

25

BRIEF PAUSE

READING AND WRITING SECTION

Module 1

A blend of easy, medium, �and hard questions

32

MINUTES

QUESTIONS

27

Module 2

Adaptive: easier or harder based on performance in Module 1

32

MINUTES

QUESTIONS

27

2 “PRE-TEST” QUESTIONS IN EACH MODULE

*These are not scored

READING AND WRITING QUESTIONS ARE INTERMINGLED �WITHIN EACH MODULE

Questions are ordered by skill/knowledge element and then by level of difficulty *domain grouping reduces task switching
Passages are short but difficult where 1 passage = 1 question

25-150 words for each passage

READING AND WRITING PASSAGES

Passages come from history, literature, humanities, and science *topic-specific prior knowledge is not assessed
Passages are organized into three text complexity levels (grades 6-8, 9-11, and 12-14)
Poetry - this is new but there will be very little of it (1900s and earlier)
Passages might include graphics (tables, bar graphs, line graphs)

EVERYONE’S PRIVATE TUTOR ^®

26 of 69

Reading and Writing Passages Then Vs. Now

26

PENCIL-AND-PAPER EXAMPLE PASSAGE

DIGITAL EXAMPLE PASSAGE

EVERYONE’S PRIVATE TUTOR ^®

27 of 69

Reading and Writing Modules

The 4 Reading and Writing domains (1.2 minutes/question)

STANDARD ENGLISH CONVENTIONS

(~26% OF EXAM 11-15 QUESTIONS)

Boundaries
Form & Structure

CRAFT & STRUCTURE

(~28% OF EXAM 13-15 QUESTIONS)

Vocabulary: words in context
Text structure & purpose
Cross-text connections

INFORMATION & IDEAS

(~26% OF EXAM 12-14 QUESTIONS)

Central Ideas & Details
Command of evidence
Inferences

EXPRESSION OF IDEAS

(~20% OF EXAM 8-12 QUESTIONS)

Rhetorical synthesis
Transitions

27

EVERYONE’S PRIVATE TUTOR ^®

Craft and Structure (~28%, 13-15 questions)

- Words in Context – determine meaning of a high-utility academic word or phrase in context or use such vocabulary in a precise, contextually appropriate way

- Text Structure and Purpose – analyze the structure of a text or determine the main purpose of a text (what is the function of an underlined sentence in the text as a whole)

- Cross-Text Connections – draw reasonable connections between two topically related texts

Information and Ideas (~26%, 12-14 questions)

- Use comprehension, analysis, and reasoning skills to locate, interpret, evaluate, and integrate information and ideas

- Central Ideas and Details – determine central idea of a text and/or interpret the key details supporting that idea (Which choice best states main idea of the text?)

- Command of Evidence: Textual – use a fact, detail, or example to support, challenge, or respond to a claim or point (Which one (if true) would support a claim?)

- Command of Evidence: Quantitative - use data from an informational graphic to support, challenge, or respond to a claim or point

- Inferences – draw a reasonable inference based on explicit and/or implicit information and ideas in a text (which of the following logically completes a text)

Standard English Conventions (~26%, 11-15 questions)� - edit texts to meet academic and workplace expectations regarding use of standard expression

- Use editing skills and knowledge to make text conform to standard conventions of English sentence structure, usage, and punctuation

- Skill/Knowledge Testing Points:

o Boundaries – edit text to ensure sentences are conventionally complete

o Form, Structure, and Sense – edit text to conform to conventional usage (e.g., agreement, verb tense)

Expression of Ideas (~20%, 8-12 questions)

- Revise expression of ideas in texts to enhance communicative power in accordance with specified rhetorical goals

- Use revision skills and knowledge to improve the effectiveness of written expression in accordance with specified rhetorical goals

- Rhetorical Synthesis – integrate provided information and ideas to form an effective sentence achieving a specified rhetorical aim (if a student wants to do xyz…which accomplishes that goal?

- Transitions – determine the most effective transition word or phrase to logically connect information and ideas in a text

28 of 69

Example Questions from the Four R&W Domains

NAVIGATING THE DIGITAL SAT

02

28

EVERYONE’S PRIVATE TUTOR ^®

29 of 69

Domain: Craft & Structure

Skill: Vocabulary

29

EVERYONE’S PRIVATE TUTOR ^®

30 of 69

Domain: Craft & Structure

Skill: Text structure & purpose

30

EVERYONE’S PRIVATE TUTOR ^®

31 of 69

Domain: Craft & Structure

Skill: Text structure & purpose

31

EVERYONE’S PRIVATE TUTOR ^®

32 of 69

Domain: Craft & Structure

Skill: Cross-text comparisons

32

EVERYONE’S PRIVATE TUTOR ^®

33 of 69

Domain: Information & Ideas

Skill: Central ideas and details

33

EVERYONE’S PRIVATE TUTOR ^®

34 of 69

Domain: Information & Ideas

Skill: Command of evidence

34

EVERYONE’S PRIVATE TUTOR ^®

35 of 69

Domain: Information & Ideas

Skill: Inferences

35

EVERYONE’S PRIVATE TUTOR ^®

36 of 69

Domain: Standard English Conventions

Skill: Boundaries

36

EVERYONE’S PRIVATE TUTOR ^®

37 of 69

Domain: Standard English Conventions

Skill: Form and structure

37

EVERYONE’S PRIVATE TUTOR ^®

38 of 69

Domain: Standard English Conventions

Skill: Form and structure

38

EVERYONE’S PRIVATE TUTOR ^®

39 of 69

Domain: Expression of Ideas

Skill: Transitions

39

EVERYONE’S PRIVATE TUTOR ^®

40 of 69

Domain: Expression of Ideas

Skill: Rhetorical synthesis

40

EVERYONE’S PRIVATE TUTOR ^®

41 of 69

Reading and Writing Modules

In comparison to pencil-and-paper SAT, the digital SAT has…

41

LESS

Grammar
Idioms No longer tested
Sentence placement No longer tested

MORE

Vocabulary (in context and tier 2 words)
Humanities passages
Tense
Separation of clauses
Quotations
Logical transitions

EVERYONE’S PRIVATE TUTOR ^®

42 of 69

Reading and �Writing Modules

Observations to keep in mind

Time management strategy
Complete the last two domains first (grammar)
Complete the first two domains last (reading)
Vocabulary seemed more difficult on actual dSAT than on practice tests
Many passages in Old English, making them more challenging for students

42

EVERYONE’S PRIVATE TUTOR ^®

43 of 69

NAVIGATING THE DIGITAL SAT:

Deep Dive on the Math Modules

PRESENTED BY

Jennifer Winward, Ph.D.

JULY 2025

Founder & CEO, Winward Academy

WINWARDACADEMY.COM

44 of 69

Deep Dive on the�Math Modules

NAVIGATING THE DIGITAL SAT

01

44

EVERYONE’S PRIVATE TUTOR ^®

45 of 69

Math Modules

Exam Scoring and Structure

45

Each question belongs to one content domain (out of 4 total domains)
Each four-option multiple choice question (~75%) has a single correct answer, and each student-produced response question (~25%) can have multiple right answers
Questions from all domains appear in each module
Across each module, questions are arranged from easiest to hardest
Approximately 30% of Math questions are set in context, "word" questions that require students to consider a science, social studies, or real-world scenario (note: topic-specific prior knowledge isn’t assessed)
Informational graphics include geometric figures, data displays, dot plots, scatterplots, bar graphs, line graphs, histograms, and graphs of functions in the xy-plane

BRIEF PAUSE

MATH SECTION

Module 1

A blend of easy, medium, �and hard questions

35

MINUTES

QUESTIONS

22

Module 2

Adaptive: easier or harder based on performance in Module 1

35

MINUTES

QUESTIONS

22

USING A CALCULATOR IS ALLOWED ON BOTH MODULES

2 “PRE-TEST” QUESTIONS IN EACH MODULE

*These are not scored

EVERYONE’S PRIVATE TUTOR ^®

46 of 69

Math Modules

Key information about student-produced response questions

If you find more than one correct answer, enter only �one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) �for a negative answer.
If your answer is a fraction that doesn’t fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn’t fit in the provided space, enter it by truncating or rounding �at the fourth digit.
If your answer is a mixed number (such as 3 ½), �enter it as an improper fraction (7/2) or its decimal �equivalent (3.5).
Do not enter symbols such as percent sign, comma, �or dollar sign.

46

ANSWER	ACCEPTABLE WAYS �TO ENTER ANSWER	UNACCEPTABLE: �WILL NOT RECEIVE CREDIT
3.5	3.5 3.50 7/2	31/2 3 1/2
⅔	2/3 .6666 .6667 0.666 0.667	0.66 .66 0.67 .67
-⅓	-1/3 -.3333 -0.333	-.33 -0.33

EVERYONE’S PRIVATE TUTOR ^®

47 of 69

Math Modules

The 4 Math domains (1.6 minutes/question)

ADVANCED MATH

(~35% OF EXAM 13-15 QUESTIONS)

Equivalent expressions
Nonlinear equations in 1 variable
Systems of equations in 2 variables
Nonlinear functions

ALGEBRA

(~35% OF EXAM 13-15 QUESTIONS)

Linear equations in one variable
Linear equations in two variables
Linear functions
Systems of linear equations in two variables
Linear inequalities in one or two variables

PROBLEM-SOLVING & DATA ANALYSIS

(~15% OF EXAM 5-7 QUESTIONS)

Ratios, rates, proportional relationships, and units
Percentages
One-variable data: distributions and measures of center and spread
Two-variable data: models and scatter-plots
Probability and conditional probability
Inference from sample statistics and margin of error
Evaluating statistical claims: observational studies and experiments

GEOMETRY & TRIGONOMETRY

(~15% OF EXAM 5-7 QUESTIONS)

Area and volume formulas
Lines, angles, and triangles
Right triangles and trigonometry
Circles

47

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

48 of 69

Example Questions from the Four Math Domains

NAVIGATING THE DIGITAL SAT

02

48

EVERYONE’S PRIVATE TUTOR ^®

49 of 69

Domain: Algebra

Skill: Linear equations in one variable

49

EVERYONE’S PRIVATE TUTOR ^®

50 of 69

Domain: Algebra

Skill: Linear equations in two variables

50

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

51 of 69

Domain: Algebra

Skill: Linear functions

51

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

52 of 69

Domain: Algebra

Skill: Systems of two linear equations in two variables

52

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

53 of 69

Domain: Algebra

Skill: Linear inequalities in one or two variables

53

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

54 of 69

Domain: Advanced Math

Skill: Equivalent expressions

54

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

55 of 69

Domain: Advanced Math

Skill: Nonlinear equations in one variable and systems of equations in two variables

55

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

56 of 69

Domain: Advanced Math

Skill: Nonlinear equations in one variable and systems of equations in two variables

56

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

57 of 69

Domain: Advanced Math

Skill: Nonlinear functions

57

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

58 of 69

Domain: Problem Solving & Data Analysis

Skill: Ratios, rates, proportional relationships, and units

58

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

59 of 69

Domain: Problem Solving & Data Analysis

Skill: Percentages

59

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

60 of 69

Domain: Problem Solving & Data Analysis

Skill: One-variable data - distributions and measures of center and spread

60

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

61 of 69

Domain: Problem Solving & Data Analysis

Skill: Two-variable data - models and scatterplots

61

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

62 of 69

Domain: Problem Solving & Data Analysis

Skill: Probability and conditional probability

62

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

63 of 69

Domain: Problem Solving & Data Analysis

Skill: Inference from sample statistics and margin of error

63

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

64 of 69

Domain: Problem Solving & Data Analysis

Skill: Evaluating statistical claims from observational studies and experiments

64

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

65 of 69

Domain: Geometry & Trigonometry

Skill: Area and volume formulas

65

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

66 of 69

Domain: Geometry & Trigonometry

Skill: Lines, angles, and triangles

66

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

67 of 69

Domain: Geometry & Trigonometry

Skill: Right triangles and trigonometry

67

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

68 of 69

Domain: Geometry & Trigonometry

Skill: Circles

68

EVERYONE’S PRIVATE TUTOR ^®

Algebra (~35%, 13-15 questions)

Solving for a missing variable
Linear equations in two variables
Equations of a line connected to a graph
A point that’s a solution to an inequality
Multiple linear systems
Real life algebra scenarios
F(x) and composite functions
Interpret meaning of slope from equation or from a graph

Advanced Math (~35%, 13-15 questions) *down to 32.5% on PSAT

- Equivalent expressions

o Rewrite rational expression like when subtracting fractions that have 4x-5 or x+1 in denominator

Absolute value, Radicals and exponents, Add, subtract, multiply, divide, factor polynomials

- Nonlinear equations in one variable and systems of equations in two variables

o Determine when a quadratic equation has 0, 1, 2, or infinitely many real solutions

o Solve when a linear and nonlinear equation intersect

- Nonlinear functions

o Quadratic and exponential equations (represent context, interpret variables, graph)

o Minimum value of a quadratic function

o Polynomial functions in one variable

o Solving for missing variables in a quadratic function after being given two points

o Exponential function y = AB^x

o Evaluate polynomial, rational, radical, or exponential expression

Problem-Solving and Data Analysis (~15%, 5-7 questions) *up to 20% on PSAT

- Ratios, rates, proportional relationships, and units

o Primes, prime factorization, odd/even)

o Use unit conversions

- Percentages

- One-variable data (distributions, measures of center and spread)

o Mean, median, mode

o Range and SD

- Two-variable data (models, scatterplots)

o Linear vs exponential growth

o Given a scatterplot, model line, quadratic, exponential functions

- Probability and conditional probability

- Inference from sample statistics and margins of error

o Interpret sample statistics, population parameters, and margin of error

- Evaluating statistical claims (observational studies and experiments)

o Basic study design, role of randomization in surveys and experiments

Geometry and Trigonometry (~15%, 5-7 questions) *down to 12.5% on PSAT (no circles)

- Area and volume

o Length, area, volume, and scale factors using geometric figures

- Lines, angles, and triangles

o Congruence, similarity, and sufficiency using vertical angles, triangles, and parallel lines cut by a transversal

- Right triangles and trigonometry

o Pythagorean Thm, unit circle trigonometry (SOHCAHTOA), and properties of special right triangles

- Circles

o Circumference, area, arc length, and sector area

69 of 69

Thank You!

Please ask any questions and reach out to me any time for support.

jennifer@winwardacademy.com

Jennifer Winward, Ph.D.

Founder & CEO, Winward Academy

WINWARDACADEMY.COM

EVERYONE’S PRIVATE TUTOR ^®