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Math · Grade 6 Accelerated · Unit 4

Unit 4: Equations and Expressions

Students apply their understanding of arithmetic to reason about algebraic expressions and equations, including writing and solving equations, identifying equivalent expressions, and using exponents.

Worksheets

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Unit
📝 Worksheet ✅ Answer guide
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 · 5 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
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 · 5 lessons
Goals
  • Evaluate expressions with whole-number exponents at specific values of their variables.
  • Interpret and write expressions with exponents 2 and 3 to represent the area of a square or the volume of a cube.
  • Justify whether numerical expressions involving whole-number exponents are equal by evaluating the expressions and performing operations in the conventional order.
Lessons
  1. Squares and Cubes
  2. Meaning of Exponents
  3. Expressions with Exponents
  4. Evaluating Expressions with Exponents
  5. Equivalent Exponential Expressions
D Relationships Between Quantities · 2 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
E Let’s Put It to Work · 1 lesson
Lessons
  1. Tables, Equations, and Graphs, Oh My! (Optional)
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Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.