Unit 4 Linear Expressions, Equations, Inequalities

Instructional Notes with Practice

• Advanced Course 1 textbook (choose program "California") Chapters 3 & 13

• Illustrative Mathematics Unit 6 Family Material

Instructional Videos

• Open Access Resources Lesson Video: 6.6-6.11

• Open Access Resources Unit 6 Lesson Video: 6.18-6.23

• Ms. Casias: Combining Like Terms

• Ms. Casias: Distributive Property

Practice Problems: Open-Up Resources Unit 6

• 6th grade 6.6: Writing expressions (problems, solutions)

• 6th grade 6.7: Equations and Percentages (problems, solutions)

• 6th grade 6.8: Equal and Equivalent (problems, solutions)

• 6th grade 6.9: Distributive Property I (problems, solutions)

• 6th grade 6.10: Distributive Property II (problems, solutions)

• 7th grade 6.11 Distributive Property III (problems, solutions)

• 7th grade 6.18 Subtraction in Equivalent Expressions (problems, solutions)

• 7th grade 6.19 Expanding and Factoring (problems, solution)

• 7th grade 6.20 Combining Like Terms I (problems, solutions)

• 7th grade 6.21 Combining Like Terms II (problems, solutions)

• 7th grade 6.22 Combining Like Terms III (problems, solutions)

Instructional Notes with Practice

• Advanced Course 1 textbook (choose program "California") Chapters 7 & 13

• Illustrative Mathematics Unit 6 Family Material

Instructional Videos

• Open Access Resources Unit 6 Lesson Videos:  6.1-6.6

Practice Problems: Open-Up Resources 

• 7th 6.1 Relationships Between Quantities (problems, solutions)

• 7th 6.2 Reasoning with Tape Diagrams I (problems, solutions)

• 7th 6.3 Reasoning with Tape Diagrams II (problems, solutions)

• 7th 6.4 Equations and Tape Diagrams I (problems, solutions)

• 7th 6.5 Equations and Tape Diagrams II (problems, solutions)

• 7th 6.6 Equations with and without Parentheses (problems, solutions)

• 8th 4.2 Balanced Equations Model (problem, solutions)

• 8th 4.3 Balanced Equation Moves I (problem, solutions)

• 8th 4.4 Balanced Equation Moves II (problem, solutions)

Instructional Notes with Practice

• 6th grade standards: Advanced Course 1 textbook (choose program "California") Chapters 7 & 13

• 6th grade standards: Illustrative Mathematics Unit 6 Family Material

• 8th grade standards: Course 3 textbook (choose program "California") Chapters 1

• 8th grade standards: Illustrative Mathematics Unit 4 Family Material

Instructional Videos

• Open Access Resources Lesson Video: 6.1-6.3, 6.4-6.5, 6.16-6.19*

• Open Access Resources 7th Grade Unit 6 Lesson Videos: 6.7-6.9,  6.10-6.12

• Ms. Casias: Solving One-Step Equations

• Ms. Casias: Modeling and Solving Two-Step Equations

• Ms. Casias: Two-Step Equations with Integers

• Ms. Casias: Two-Step Equations with Rational Numbers

• Ms. Casias: Advanced Two-Step Equations

• Ms. Casias: Applications of Two-Step Equations

• Ms. Casias: Solving Two-Step Equations

• Ms. Casias: Solving Equations with Like Terms

• Ms. Casias: Solving Multi-Step Equations

• Ms. Casias: Solving Equations with Variables on Both Sides I

• Ms. Casias: Solving Equations with Variables on Both Sides II

• Ms. Casias: Solving Multi-Step Equations with Variables on Both Sides

• Ms. Casias: Introduction to Literal Equations

• Ms. Casias: Solving Literal Equations

Practice Problems: Open-Up Resources Unit 6

• 7th grade 6.7 Equation Solving Reasoning I (problems, solutions)

• 7th grade 6.8 Equation Solving Reasoning II (problems, solutions)

• 7th grade 6.9 Equation with Negative Numbers (problems, solutions)

• 7th grade 6.10 Equation Solving Options (problems, solutions)

• 7th grade 6.11 Using Equations to Solve Problems (problems, solutions)

• 7th grade 6.12* Equations Percent Increase & Decrease (problems, solutions)

• 7th grade 5.15 Solving Equations with Rational Numbers (problems, solutions)

• 7th grade 5.16 Equations in Context (problems, solutions)

• 8th 4.5 Solving Linear Equations (problem, solutions)

• 8th 4.6 Solving Linear Equations Strategically (problem, solutions)

• 8th 4.7 All, Some, or No Solutions (problem, solutions)

• 8th 4.8 How Many Solutions (problem, solutions)

• 8th 4.9 Apply Equations to Situations (problem, solutions)

Instructional Notes with Practice

• Advanced Course 1 textbook (choose program "California") Chapter 7 

• Illustrative Mathematics Unit 7 Family Material

• Illustrative Mathematics 7th Grade Unit 6 Family Material

Instructional Videos

• Open Access Resources 6th Grade Unit 7 Lesson Video: 7.8-7.10

• Open Access Resources 7th Grade Unit 6 Lesson Video: 6.13-6.17

• Ms. Casias: Introduction to Inequalities

• Ms. Casias: Graphing Inequalities on a Number Line

• Ms. Casias: Solving and Graphing One-Step Inequalities

• Ms. Casias: Graphing Inequalities

• Ms. Casias: Graphing and Solving One-Step Inequalities

• Ms. Casias: Graphing and Solving Two-Step Inequalities

• Ms. Casias: Applications of Two-Step Inequalities

Practice Problems: Open-Up Resources Grade 6 Unit 7 & Grade 7 Unit 6

• Grade 6 7.8 Writing and Graphing Inequalities (problems, solutions)

• Grade 6 7.9 Solutions of Inequalities (problems, solutions)

• Grade 6 7.10 Interpreting Inequalities (problems, solutions)

• Grade 7 6.13 Inequality Review (problems, solutions)

• Grade 7 6.14 Inequalities in Context (problems, solutions)

• Grade 7 6.15 Solving Inequalities Efficiently (problems, solutions)

• Grade 7 6.16 Interpreting Inequalities (problems, solutions)

• Grade 7 6.17 Modeling with Inequalities (problems, solutions)

• Lots of Practice Solving Inequalities (with solutions): easy, medium, harder, harder version 2

Instructional Notes with Practice

• Advanced 2 textbook (choose program "California") Chapter 4

• Illustrative Mathematics Unit 2 Family Material

Instructional Videos:

• Open Up Resources: 2.10-2.12, 3.9-3.10, 3.11-3.13, 5.8-5.10 

• Ms. Casias: Multiple Representations of Linear Relationships

• Ms. Casias: Writing Linear Equations in Slope Intercept Form

• Ms. Casias:  Writing Linear Equation in Slope Intercept from Graph

• Ms. Casias: Transforming Linear Equations

Practice Problems: Open-Up Resources 

• 2.11 Writing Linear Equations (problem, solutions)

• 2.12 Using Linear Equations (problem, solutions)

• 3.8 Translating y=mx+b (problem, solutions)

• 3.11* Horizontal and Vertical Lines (problem, solutions)

• 5.8 Linear Function Investigation (problem, solutions)

• 5.9 Linear Models (problem, solutions)