Unit 6: Expressions, Equations, and Inequalities

Students deepen their algebraic reasoning as they write and solve equations and inequalities, and work with more complex equivalent expressions.

Worksheets

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Unit

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Concept

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Practice

Set 1

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Set 2

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Advanced

Set 1

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Set 2

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What this unit covers

A Representing Situations of the Form px + q = r and p(x + q) = r · 6 lessons

Goals

• Create diagrams and equations to represent situations involving multiplication and addition.

Lessons

1. Relationships between Quantities
2. Reasoning about Contexts with Tape Diagrams
3. Reasoning about Equations with Tape Diagrams
4. Reasoning about Equations and Tape Diagrams (Part 1)
5. Reasoning about Equations and Tape Diagrams (Part 2)
6. Distinguishing between Two Types of Situations

B Solving Equations of the Form px + q = r and p(x + q) = r and Problems That Lead to Those Equations · 6 lessons

Goals

• Solve equations of these forms, including those that involve fractions, decimals, and negative numbers, and explain the solution method.

Lessons

1. Reasoning about Solving Equations (Part 1)
2. Reasoning about Solving Equations (Part 2)
3. Dealing with Negative Numbers
4. Different Options for Solving One Equation
5. Using Equations to Solve Problems
6. Solving Problems about Percent Increase or Decrease

C Inequalities · 5 lessons

Goals

• Draw and label a graph on a number line that represents all the solutions to an inequality.
• Solve an inequality involving any of the four inequality symbols.

Lessons

1. Reintroducing Inequalities
2. Finding Solutions to Inequalities in Context
3. Efficiently Solving Inequalities
4. Interpreting Inequalities
5. Modeling with Inequalities

D Writing Equivalent Expressions · 4 lessons

Goals

• Apply properties of operations to write an expression with fewer terms that is equivalent to a given expression.
• Apply the distributive property to factor or expand an expression.

Lessons

1. Subtraction in Equivalent Expressions
2. Expanding and Factoring
3. Combining Like Terms (Part 1)
4. Combining Like Terms (Part 2)

E Let’s Put It to Work · 1 lesson

Lessons

1. Applications of Expressions

Helpful to know first

The curriculum says this unit builds on these.

Grade 7 Math · Unit 5 Rational Number Arithmetic

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Grade 6 Math · Unit 7 Rational Numbers

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Grade 6 Math · Unit 6 Expressions and Equations

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