SAT / PSAT curriculum comparision : Math EXT & STD

SAT/PSAT Exam Mathematics component :

This section is 80 minutes long and has 58 questions. It has a couple of basic sub-sections: a 25-minute section (no calculator) and a 55-minute section (calculator allowed). Math questions involve knowledge of subject areas such as arithmetic, geometry, algebra, statistics and probability It also involves data interpretation from tables/graphs and problem-solving.

For Mathematics, it is usually a good idea to identify your areas of improvement early on (insufficient grasp of fundamentals, or skewed time management etc). Once you zero-in on a deficiency, it is advisable to devise a laser-focused strategy to strengthen the deficiency.

Practice is of paramount importance, and a log of the mistakes can do wonders for your test score. If you want to score a perfect score (stereotypes of Indian nerdiness at Math notwithstanding), you should have a good grasp of all possible content along with good time-management skills. Moreover, many candidates make careless mistakes which drag down the overall score dramatically.

Calculator policy for Math component : https://tinyurl.com/jg77mrb

Section | Time (in minutes) | No of questions |

Math (No Calculator) | 25 | 20 (5 in grid) |

Math (Calculator allowed) | 55 | 38 (8 in grid) |

SAT TOPIC | MATHEMATICS EXT | MATHEMATICS STD | In which grade it is covered |

- Solving linear equations and linear inequalities
| YES | YES | Grade 9 & 10 Both |

- Interpreting linear functions
| YES | YES | Grade 10 |

- Linear inequality and equation word problems
| YES | YES | Grade 9 |

- Graphing linear equations
| YES | YES | Grade 10 |

- Linear function word problems
| YES | YES | Grade 10 |

- Systems of linear inequalities word problems
| YES | YES | Grade 9 |

- Solving systems of linear equations
| YES | YES | Grade 8 & 9 |

- Solving quadratic equations
| YES | YES | Grade 9 & 10 |

- Interpreting nonlinear expressions
| YES (Quadratic, exponential and Log) | YES (Quadratic & exponential) | Grade 9 & 10 |

- Quadratic and exponential word problems
| YES | YES | Grade 10 |

- Radicals and rational exponents
| YES | YES | Rational numbers - Grade 7 Exponents - Grade 8 |

- Operations with rational expressions and polynomials
| YES | YES | Grade 8 |

- Polynomial factors and graphs
| YES (Linear, Quadratic and cubic) | YES (Linear & Quadratic) | Grade 9 & 10 |

- Nonlinear equation graphs
| YES | YES | Grade 9 |

- Linear and quadratic systems
| YES | YES | Grade 9 |

- Structure in expressions
| YES | YES | Grade 8 (Only expressions) |

- Isolating quantities
| Not explicitly | Not explicitly | - |

- Functions
| YES (Linear, Quadratic, Logarithmic, rational, reciprocal, exponential & Trigonometric functions) INDEPTH | YES (Linear, Quadratic, exponential & Trigonometric functions) | Grade 10 |

- Ratios, rates, and proportions
| YES | YES | Grade 7 |

- Percents
| YES | YES | Grade 7 |

- Units
| NO | In DP (SI notations) | (They study this explicitly in PHYSICS) |

- Table data
| Not explicitly (taken in probability & statistics) | Not explicitly (taken in probability & statistics) | |

- Scatterplots
| YES | YES | Grade 9 |

- Key features of graphs
| YES | YES | Grade 8 - 9 - 10 |

- Linear and exponential growth
| YES | YES | Linear - Grade 9 Exponential - Grade 10 |

- Data inferences
| Not explicitly in depth | Not explicitly in depth | |

- Center, spread, and shape of distributions
| YES (No shape of distributions) | YES (No shape of distributions) | Grade 8 |

- Data collection and conclusions
| NO | NO | - |

- Volume word problems
| YES | YES | Grade 8 |

- Right Triangle word problems
| YES | YES | Grade 8 |

- Congruence and similarity
| YES | YES | Grade 8 - 9 |

- Right triangle geometry
| YES (some theorems are not there in MYP) | YES (some theorems are not there in MYP) | Grade 8 |

- Angles, arc lengths, and trig functions
| YES (Whole) | YES (Only Sine, Cos) | Grade 10 |

- Circle: Equations and theorems
| YES | YES | Grade 9 -10 |

- Complex numbers
| NO | NO | (In DP) |

PSAT

SAT / PSAT difference -

The PSAT doesn't have an essay, and it's shorter – other than that, both tests are exactly the same. Functionally, they're different because the SAT can be used for college admissions, while the PSAT cannot, and the PSAT can be used to put you in the running for a National Merit scholarship, whereas the SAT cannot.

Part | Time (in minutes) | No of questions |

Math (No Calculator) | 25 | 17 |

Math (Calculator allowed) | 45 | 31 |

Broad Idea | Topic | MATHEMATICS EXT | MATHEMATICS STD | In which grade it is covered |

Heart of Algebra | Analyzing and fluently solving equations and systems of equations | YES | YES | Grade 8 & 10 |

Creating expressions and equations | YES | YES | Grade 8 | |

Inequalities to represent relationships between quantities and to solve problems | YES (Linear and Non-linear both) | YES (Only linear) | Grade 9 | |

rearranging and interpreting formulas | YES | YES | Grade 7 - 8 - 9 | |

Problem Solving & Data Analysis | Substitution and simplifying algebraic expressions | YES | YES | Grade 7 |

Properties of exponents | YES | YES | Grade 9 | |

Algebraic word problems | YES | YES | Grade 7 - 8 - 9 - 10 | |

Linear equations and inequalities | YES | YES | Grade 8 - 9 | |

Systems of equations and inequalities | NO (Only linear ) | YES (Only linear ) | Grade 9 - 10 | |

Rational and radical equations | YES | YES | Grade 9 | |

Equations of lines | YES | YES | Grade 8 | |

Absolute value | YES (Absolute value & absolute functions both ) | YES | Grade 7 & 10 (EXT) | |

Direct and inverse variation | YES | YES | Grade 8 | |

Quadratic equations | YES | YES | Grade 9 | |

Algebraic functions | YES | YES | Grade 10 | |

Passport to Advanced Math | Area and perimeter of a polygon | YES | YES | Grade 7 - 8 |

Area and circumference of a circle | YES | YES | Grade 7 | |

Volume | YES | YES | Grade 8 | |

Pythagorean theorem, isosceles, equilateral, and right triangles | YES | YES | Grade 8 | |

Parallel and perpendicular lines | YES | YES | Grade 8 | |

Coordinate geometry, Slope | YES | YES | Grade 8 & 10 | |

Transformations | YES | YES | Grade 8 | |

Additional Topics in Math | Data interpretation | YES | YES | Grade 7 - 8 - 9 - 10 |

Statistics | YES | YES | Grade 7 - 8 - 9 - 10 | |

Mean, median, and mode | YES | YES | Grade 8 - 9 - 10 | |

Probability | YES (Advanced - Conditional probability as well) | YES | Grade 8 - 9 |