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1 | Curriculum Map for Foundations of Mathematics, Computech Middle School, Brandon Dorman and Pam Pope | ||||||||||||||||||||||||||||||||||||||||

2 | Month: | August | September | October | November | December | January | February | March | April | May | June | |||||||||||||||||||||||||||||

3 | Week | Week 3 | Week 4 | Week 1 | Week 2 | Week 3 | Week 4 | Week 1 | Week 2 | ACS 1 | Week 3 | Week 4 | Week 1 | Week 2 | Week 3 | Week 1 | Week 2 | Week 3 | Week 3 | Week 4 | ACS 2 | Week 1 | Week 2 | Week 3 | Week 4 | Week 1 | Week 2 | Week 3 | Week 4 | Week 2 | ACS #3 | Week 3 | Week 4 | Week 1 | Week 2 | Total DAYS BEFORE CST TESTING | Week 3 | Week 4 | Week 1 | Week 2 | |

4 | Teaching Days | 5 | 5 | 4 | 4 | 5 | 4 | 4 | 3 | 5 | 5 | 4 | 4 | 4 | 5 | 5 | 4 | 4 | 3 | 5 | 4 | 4 | 5 | 5 | 3 | 5 | 5 | 3 | 5 | 5 | 0 | 0 | 126 | 5 | 4 | 5 | 4 | ||||

5 | Enrichment | fractions practice: pg 78 'quarters' in 101 short problems for enrichment | pg 15 of Mathematics Today book (fraction tables, etc.) | Nutrition Activity | Common core sample | Mental Fraction Calculator | ch3 enrichment: pg 154 - use playing cards and see who can make them equal 24 adding up | pg 32 Mathematics Today factor tree activity | Chapter 2 Enrichment | Moon base | dozen eggs activity | create 3d perspective from different angles activity | building amyvile | ||||||||||||||||||||||||||||

7 | Enrichment aligned with CCSS Common Core Performance Standards 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively. 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics 5 Use appropriate tools strategically. 6 Attend to precision. 7 Look for and make use of structure. 8 Look for and express regularity in repeated reasoning. | pg 102 Two Containers in 101 Short Problems Book | Deployment 1: Crazy Cubes for enrichment | Activity for solving equations with variables on both sides | Inequality Word Problems Presentation | chapter 4 - pg 212 Square Root magic squares! | chapter 5 - pg 260 in textbook has an activity | chapter 6: Do something like page 309 - bring in an advertisement and have students calculate the actual savings including 'was 50%, now 20% more off" - ie it's not 70% off! | Toy Trains Document | Slope Review Sheet | ch 7: Green globs for slope | Pi Day Handbook for students! | Pi Day Teacher Handbook | Stem and Leaf Plot box plot practice with random numbers | ch 8 - do transformations and translations for enrichment | ch 09 - more composite shapes using pythagorean theorem too! | ch12 - probability spinner | pythagorean theorem binomial activity Option 1 | ch 10 volume of spheres pg 518 | Link to Math Manipulatives | walk the line activity | Graphing Slope applet | |||||||||||||||||||

10 | Assessments | Quiz 1A (mult choice) after Lesson 1-6 | Chapter 1 Test | Interactive Practice Page | Quiz 2b after lesson 2-6 | Chapter 2 test (B) | quiz 3b after 3-4 | Ch 3 test Free response! | Quiz 4b after 4-5 | Ch 4 test | quiz 5b after 5-3 (we don't do 5-4) | Ch 5 test | quiz 6b after 6-4 | Ch 6 test | Quiz 7b after ch 7-3 | Ch 7 test | quiz 8b | Ch 11 test | Chapter 11 test question analysis for one period | ||||||||||||||||||||||

11 | Textbook Chapters (taken from FUSD Powerpoint on Foundations Planning | Algebraic Expressions 1-1 Write Algebraic Expressions 1-2 Integers & Absolute Value 1-3 | Adding Integers 1-4 Subtracting Integers 1-5 Multiply Integers 1-6 Divide Integers 1-6 | 1-Step Equations by Adding 1-7 1-Step Equations by Subtracting 1-7 1-Step Equations by Multiplying 1-8 1-Step Equations by Dividing 1-8 | Rational Numbers 2-1 Comparing & Ordering Rationals 2-2 Adding and Subtracting Rational Numbers 2-3 Multiplying Rational Numbers 2-4 Dividing Rational Numbers 2-5 Add and subtracting with Unlike Denominators 2-6 | Properties of Rational Numbers 3-1 Simplify Algebraic Expressions 3-1 Order of Operations Exponents 4-1 | Integer Exponents 4-2 Properties of Exponents 4-3 Multiplying Monomials 4-4 Dividing Monomials 4-5 | Squares & Square Roots 4-6 Estimating Square Roots 4-7 Real Numbers 4-8 Pythagorean Theorem 4-9 | Ratios 5-1 Rates & Unit Rates 5-2 Proportions 5-3 Similar Figures 5-5 Scale Drawings 5-7 | Relating Fractions, Decimals, &Percents 6-1 Estimating with Percents 6-2 Finding Percents 6-3 Finding a # when percent is known 6-4 % of Increase & Decrease 6-5 Commission, Sales Tax, & Profit 6-6 Simple Interest 6-7 | Solve 2-Step Equations 1-9 Solve 2-Step Equations w/Rationals 2-8 Solve Multi-Step Equations 3-3 Solve Equations w/var. on both sides 3-4 (optional) | Coordinate Plane 7-1 Graphing Linear Functions 7-3 Functions 7-2 Rate of Change and Slope 7-6 Finding Slope of a Line 7-7 Interpreting Graphs 7-8 * Optional - Graphing Quadractic Functions 7-4 & Cubic Functions 7-5 | Plane Geometry review 8-1 & 8-2 Perimeter & Area of Parallelograms Angles & Relationships 8-3 9-1 Perimeter & Area of Triangles & Trapezoids 9-2 | Circles 9-3 Circumference & Area 9-4 Area of Irregular Figures 9-6 Volume formulas: 10-1 Volume of Prisms & Cylinders 10-2 | 10-3: Volume of Pyramids and Cones Line Plots & Stem/Leaf Plots 11-1 Mean, Median, Mode, & Range 11-2 Quartiles Box & Whisker Plots 11-3 Scatter Plots 11-4 Interpreting Statistical Graphs 11-4 | CST Review: We use handouts from a CST review book for in-class work, and released questions for homework. correction and reflection plays an important part in this part of the school year, and students keep track of their progress on a personal chart with the standards in rows. | CST | - Three Dimensional Figures 10-1 Volume of Pyramids & Cones 10-3 Surface area of Prisms & Cylinders 10-4 Surface Area of Pyramids & Cones 10-5 | Algebra Review of essentials skills Polynomials (Ch 12) Solving Equations Graphing Linear equations | ||||||||||||||||||||||

12 | Standards (links to District ACS Testing Standards Document | 1.2a Add, subtract, multiply, and divide rational numbers: integers 1.2b Add, subtract, multiply, and divide rational numbers: fractions 2.5 Understand the meaning of the absolute value of a number; interpret the absolute value as the distance of the number from zero on a number line; and determine the absolute value of real numbers. ALGEBRA AND FUNCTIONS 1.1 Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations or inequalities that represents a verbal description. 1.2 Use the correct order of operations to evaluate algebraic expressions such as: 3(2x + 5)2. 1.3 Simplify numerical expressions by applying properties of rational numbers (e.g., distributive, identity, inverse, associative, commutative) and justify the process used. 4.0 Solve one-step linear equations over the rational numbers, interpret the solution in the context from which they arose, and verify the reasonableness of the result. | 1.7 Solve problems that involve discounts, markups, commissions, and profit and compute 2.1 Multiply and divide expressions involving exponents with a common base. Understand negative whole-number exponents. 2.3 Multiply, divide, and simplify rational numbers by using exponent rules. ALGEBRA AND FUNCTIONS2.1 Interpret positive whole-number powers as repeated multiplication and negative wholenumber powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents. 2.2 Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results in a monomial with an integer exponent. 4.2a Solve multistep problems involving rate, average speed, distance, and time or a direct variation. Computational 4.2b Solve multistep problems involving rate, average speed, distance, and time or a direct variation. Word Problems GEOMETRY 1.3 Use measures expressed as rates (e.g., speed, density) and measures expressed as products (e.g., person-days) to solve problems; check the units of the solutions; and use dimensional analysis to check the reasonableness of the answer. 3.3 Know and understand the Pythagorean theorem and its converse and use it to find the length of the missing side of a right triangle and the lengths of other line segments and, in some situations, empirically verify the Pythagorean theorem by direct measurement. | 1.2d Add, subtract, multiply, and divide rational numbers: use correct order of operations Algebra and Functions 1.3 Simplify numerical expressions by applying properties of rational numbers (e.g., distributive, identity, inverse, associative, commutative) and justify the process used. 3.3 Graph linear functions, noting that the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always the same and know that the ratio (“rise over run”) is called the slope of a graph. | 1.0 Students collect, organize, and represent data sets that have one or more variables and identify relationships among variables within a data set by hand and through the use of an electronic spreadsheet software program: 1.1 Know various forms of display for data sets, including a stem-and-leaf plot or box-and-whisker plot; use the forms to display a single set of data or to compare two sets of data. 1.2 Represent two numerical variables on a scatter plot and informally describe how the data points are distributed and any apparent relationship that exists between the two variables (e.g., between time spent on homework and grade level). 1.3 Understand the meaning of, and be able to compute, the minimum, the lower quartile, the median, the upper quartile, and the maximum of a data set. | 3.4 Plot the values of quantities whose ratios are always the same (e.g., cost to the number of an item, feet to inches, circumference to diameter of a circle). Fit a line to the plot and understand that the slope of the line equals the quantities. 4.1a Solve two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results. (Integers) 4.1b Solve two-step linear equations and inequalities in one variable over the rational numbers, 5 interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results. (Non-integers) MEASUREMENT AND GEOMETRY 3.3 Know and understand the Pythagorean theorem and its converse and use it to find the length of the missing side of a right triangle and the lengths of other line segments and, in some situations, empirically verify the Pythagorean theorem by direct measurement. 3.4 Demonstrate an understanding of conditions that indicate two geometrical figures are congruent and what congruence means about the relationships between the sides and angles of the two figures. | |||||||||||||||||||||||||||||||||||

13 | Common Core Standards - clicking takes you there | Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. 7.NS.1. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts. 7.NS.2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts. Apply properties of operations as strategies to multiply and divide rational numbers. | NS 7.2: Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats. | ||||||||||||||||||||||||||||||||||||||

14 | Technology (videos, pictures etc) | Integer Addition Activity - Virtual! | Mental Calculator | ||||||||||||||||||||||||||||||||||||||

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