Unit 6: Expressions and Equations

Students apply their understanding of arithmetic to reason about algebraic expressions and equations, solving simple equations, identifying equivalent expressions, working with exponents, and modeling relationships between two quantities with tables, graphs, and equations.

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 Equations in One Variable · 6 lessons

Goals

• Solve equations of the form x + p = q or px = q and explain the solution method.
• Understand that solving an equation with a variable means finding a value for the variable that makes the equation true, and use substitution to determine whether a number is a solution to the equation.

Lessons

1. Tape Diagrams and Equations
2. Truth and Equations
3. Staying in Balance
4. Practice Solving Equations
5. Represent Situations with Equations
6. Percentages and Equations

B Equal and Equivalent · 5 lessons

Goals

• Justify whether two expressions are “equivalent,” or equal to each other for every value of their variable.
• Use the distributive property to write equivalent algebraic expressions.

Lessons

1. Write Expressions with Variables
2. Equal and Equivalent
3. The Distributive Property, Part 1
4. The Distributive Property, Part 2
5. The Distributive Property, Part 3 (Optional)

C Expressions with Exponents · 4 lessons

Goals

• Evaluate expressions with whole-number exponents at specific values of their variables.
• Justify whether numerical expressions involving whole-number exponents are equal by evaluating the expressions and performing operations in the conventional order.

Lessons

1. Meaning of Exponents
2. Expressions with Exponents
3. Evaluating Expressions with Exponents
4. Equivalent Exponential Expressions

D Relationships Between Quantities · 3 lessons

Goals

• Create a table, graph, and equation to represent the relationship between two quantities.
• Identify the independent and dependent variable in a situation.

Lessons

1. Two Related Quantities, Part 1
2. Two Related Quantities, Part 2
3. More Relationships (Optional)

E Let’s Put It to Work · 1 lesson

Lessons

1. Tables, Equations, and Graphs, Oh My!

Helpful to know first

The curriculum says this unit builds on these.

Grade 6 Math · Unit 5 Arithmetic in Base Ten

Open unit →

Grade 6 Math · Unit 2 Introducing Ratios

Open unit →