# Math Workshop 9

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## Course Syllabus and Important Files

## Quarter Schedules

## Module Booklets

Module 4: Equations and Inequalities

Module 5: Quantitative Reasoning with Functions

## Module 1: Number Sense and Quantity

This module focuses on building a conceptual understanding of basic mathematical ideas which will enhance the student’s number sense, rather than a focus on algorithms. The unit begins with the use of whole numbers followed by fractions, decimals, and integers through the lens of problem solving. Students will use a variety of strategies and manipulative tools.

Note: The files from Quick Check I to Lesson 11: Dividing Fractions with Models were formerly labeled Days 1-13.

Lesson 1: Fact Families

Lesson 2: Is It Reasonable?

Lesson 3: Yummy, Chocolate!

Lesson 4: Problem Solving Assessments

Lesson 5: Birthday Cake

Lesson 6: Fraction Clues

Lesson 7: Multiplying Fractions

Lesson 8: Birthday Cookout

Lesson 9: A Chance of Surgery

Lesson 10: Fractional Divisors

Lesson 11: Dividing Fractions with Models

Lesson 12: Representing Powers of Ten by Using Base Ten Blocks

Lesson 13: Multiplying by Powers of Ten

Lesson 14: Patterns-R-Us

Lesson 15: Comparing Decimals

Lesson 16: Are These Equivalent?

Lesson 17: Integers on the Number Line

Lesson 19: Deep Freeze

Lesson 20: Penny Cube

Lesson 21: Multiplying Integers

Lesson 22: Dividing Integers

Lesson 23: Identifying Rational Numbers

Lesson 24: Estimating the Square Root of a Number

Lesson 25: Debits and Credits

## Module 2: Arithmetic to Algebra

This module focuses on the creation of a connection between arithmetic skills and operations in algebra. Students will draw conclusions from computation with specific numbers in order to build generalizations about properties that can be used for numbers and variables. Students will interpret and apply the properties of exponents and use concrete models to investigate square roots and cube roots. The module lays the groundwork for modules 3, 4, and 5.

Lesson 1: Olympic Cola Display

Lesson 2: Distributive Property Using Area

Lesson 3: Triangles and Quadrilaterals

Lesson 4: Tiling Lesson

Lesson 5: Conjectures About Properties

Lesson 6: Visual Patterns

Lesson 7: Translating Math

## Module 3: Proportional Reasoning

This module focuses on the use of modeling to explain equivalent ratios and to understand real-world rate, ratio, and percentage problems. Students will derive slope using similar triangles and interpret slope using unit rates.

## Module 4: Equations and Inequalities

This module focuses on building understanding of concepts of variables, equations, and inequalities. Systems of equations, solutions of equations, and inequalities will be interpreted in relationship to real-world applications. Multi-variable formulas will be solved for specific variables using algebraic operations.

## Module 5: Quantitative Reasoning with Functions

This module focuses on functions and the characteristics of functions such as domain, range, and rates of change. The y-intercept form of linear functions will be used to graph lines and to compare the rates of change of functions.