Section A: Equations in One Variable
Lesson 1: Tape Diagrams and Equations
Let’s see how tape diagrams and equations can show relationships between amounts.
Lesson 2: Truth and Equations
Let’s use equations to represent stories and see what it means to solve equations.
Lesson 3: Staying in Balance
Let’s use balanced hangers to help us solve equations.
Lesson 4: Practice Solving Equations and Representing Situations with Equations
Let’s solve equations by doing the same to each side.
Lesson 5: A New Way to Interpret a over b
Let’s investigate what a fraction means when the numerator and denominator are not whole numbers.
Section B: Equal and Equivalent
Lesson 6: Write Expressions Where Letters Stand for Numbers
Let’s use expressions with variables to describe situations.
Lesson 7: Revisit Percentages
Let’s use equations to find percentages.
Lesson 8: Equal and Equivalent
Let’s use diagrams to figure out which expressions are equivalent and which are just sometimes equal.
Lesson 9: The Distributive Property (Part 1)
Let’s use the distributive property to make calculating easier.
Lesson 10: The Distributive Property (Part 2)
Let’s use rectangles to understand the distributive property with variables.
Lesson 11: The Distributive Property (Part 3)
Let’s practice writing equivalent expressions by using the distributive property.
Section C: Expressions with Exponents
Lesson 12: Meaning of Exponents
Let’s see how exponents show repeated multiplication.
Lesson 13: Expressions with Exponents
Let’s use the meaning of exponents to decide if equations are true.
Lesson 14: Evaluating Expressions with Exponents
Let’s find the values of expressions with exponents.
Lesson 15: Equivalent Exponential Expressions
Let’s investigate expressions with variables and exponents.
Section D: Relationships Between Quantities
Lesson 16: Two Related Quantities (Part 1)
Let’s use equations and graphs to describe relationships with ratios.
Lesson 17: Two Related Quantities (Part 2)
Let’s use equations and graphs to describe stories with constant speed.
Lesson 18: More Relationships
Let’s use graphs and equations to show relationships involving area, volume, and exponents.
Section E: Let’s Put It to Work
Lesson 19: Tables, Equations, and Graphs, Oh My!
Let’s explore some equations from real-world situations.