My Math Chapter 7: Expressions and Patterns

Updated 1-5-20

​In this chapter, students will use algebraic reasoning to simplify expressions, translate words into basic algebraic sentences, solve for unknowns, and investigate patterns of change both numerically and graphically.

Chapter 7 Objectives:

• Write and evaluate numerical and variable expressions
• Simplify expressions using the order of operations
• Use in/out tables and variable expressions to solve for unknowns
• Identify and plot ordered pairs on a coordinate plane
• Interpret patterns of change in graphs
• Determine whether an equation or inequality is true/false

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​Login to the McGraw-Hill My Math web site to access more information about this chapter, including visual vocabulary cards, an interactive journal, homework pages, video tutorials, and much more. Please contact Mr. Bowen if you do not know your username/password.

Chapter 7 Downloads (assignments, handouts, and extras)

• 1st Semester Review + Answers + Video
• Coordinate Plane Graphs (link to downloads)
• Chapter 7 Study Guide + Answers + Video​

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Chapter 7 Lesson Resources

Listed below are chapter lessons from the McGraw-Hill My Math text. Please note that these lessons may be modified, rearranged, or omitted. Supplemental lessons will be added as needed.​

Lesson 1: Hands On: Numerical Expressions
Downloads​

• Homework 7-1 Answer Key

Video Tutorials

• Numerical Expressions (by Khan Acadamy)

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Lesson 2: Order of Operations
Downloads​​

• Homework 7-2 Answer Key

​Video Tutorials​

• Order of Operations (by Mr. Bowen)
• Evaluating Expressions (by Khan Academy)
• Order of Operations Example (by Khan Academy)

​Games and Interactives

• Order Ops (try this!)

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Lesson 3: Write Numerical Expressions
Downloads​

• Homework 7-3 Answer Key​
• Translating Algebraic Phrases WS (example, with answers)
• Algebraic Expressions PowerPoint 

​​​Video Tutorials

• Algebraic Expressions (by Mr. Bowen)
• Writing Numerical Expressions (Mashup Math)
• Variables Expressions and Equations (by Khan Academy)
• Variables and Expressions 1 (by Khan Academy)

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Lesson 4: Problem-Solving Investigations: Work Backward
Downloads

• Homework 7-4 Answer Key​

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Lesson 5: Hands-On: Generate Patterns
Downloads​​

• Homework 7-5 Answer Key​
• Number Sequences PowerPoint

​Video Tutorials​​

• In/out Tables and Rules (by Mr. Bowen)

Games and Interactives

• Phet Function Builder (basics)
• Phet Function Builder (in/out tables)

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Lesson 6: Patterns
Downloads

• Homework 7-6 Answer Key​
• Visual Patterns (from visualpatterns.org)

Video Tutorials​

• Number Line Sequences (by Mr. Bowen)

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Lesson 7: Hands-On: Map Locations
Downloads

• Homework 7-7 Answer Key​

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Lesson 8: Ordered Pairs
Downloads​

• Homework 7-8 Answer Key
• Coordinate Plane Graphs (link to downloads)
• Graph Paper Generator (link to download)

Video Tutorials

• Ordered Pairs (by Mr. Bowen) 
• Quadrants of Coordinate Plane (by Khan Academy)
• The Coordinate Plane (by Khan Academy)
• Exploring Linear Relationships (by Khan Academy)

Games and Interactives

• GeoGebra Introduction to the Coordinate Plane
• GeoGebra Coordinate Grid Exploration
• GeoGebra Practice Locating Points on the Coordinate Plane
• GeoGebra Graphing Ordered Pairs​​
• Sand Grid Game​
• Homer's Donuts Game
• Soccer Coordinates Game
• Coordinates Maze Game
• Simple Coordinates Interactive Checker

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Lesson 9: Graph Patterns
Downloads

• Homework 7-9 Answer Key​​​

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Supplemental Lessons: Hands-On Equations (beginning algebra)
Downloads

• Pan Balance Problems
• More Pan Balance Problems
• Hands-On Equations Advanced Problems
• Hands-On Equations Verbal Problems​

​Video Tutorials​

• Algebraic Reasoning Study Guide Video Explanations (by Mr. Bowen)
• Hands-On Equations (Henry Borenson official YouTube page)
• Simple Equations (by Khan Academy)
• Solving One-Step Equations (by Khan Academy)
• Solving One-Step Equations 2 (by Khan Academy)
• One Step Equations (by Khan Academy)
• Evaluate a formula using substitution (by Khan Academy)
• Example of Solving for a Variable (by Khan Academy)
• Solving for a Variable (by Khan Academy)
• Solving for a Variable 2 (by Khan Academy)
• Equations 2 (by Khan Academy)
• Solving Equations 1 (by Khan Academy)

​​​Games and Interactives​​

• GeoGebra Solving Equations by Balancing
• Phet Equality Explorer (basics)
• Phet Equality Explorer (advanced)
• Hooda Math Algebra Balance Equations
• Math Playground Algebra Equations
• Pan Balance Interactive
• Mobile Balance Puzzles (try this!)
• Algebra Number Balls Game
• Algebra Puzzle Game
• Algebraic Reasoning Game
• ​Model Equations Game
• ​Exploring Algebra interactive​

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OK Supplemental Lesson 5: Evaluate Equations and Inequalities
​​Video Tutorials

• Equations and Inequalities (by Mr. Bowen)
• Evaluate Equations and Inequalities - Selected Problems from Workbook (by Mr. Bowen)

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OK Supplemental Lesson 6: Evaluate Expressions
Downloads

• Variable Expressions WS (example, with answers)
• Evaluating Variable Expressions PowerPoint

​​Video Tutorials 

• www.youtube.com/watch?v=fhMUzGkJ2P4Evaluate Expressions - Selected Problems from Workbook (by Mr. Bowen)
• Variables Expressions and Equations (by Khan Academy)
• Variables and Expressions 1 (by Khan Academy)

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