#### Unit 2 Lesson 12 – Problem Solving with Proportional Relationships

- What will you learn:
- Setup and solve multi-step simple interest problems.
- Setup and solve multi-step tax problems.
- Setup and solve multi-step problems involving markup and markdowns.
- Setup and solve multi-step problems involving gratuities, commissions, and fees.

- Vocabulary
- Games
- Graph Equivalent Ratios – Instruction – Level F
- Find Percent of a Number – Instruction – Level F
- Multiplication and Division of Rational Numbers – Tutorial – Level G
- Understand Proportional Relationships – Instruction – Level G
- Write Equations for Proportional Relationships – Instruction – Level G
- Practice: Proportional Relationships – Practice – Level G

- SMART presentation
- Practice Quiz Lesson 12

#### Unit 2 Lesson 13 – Proportional Relationships

- What will you learn:
- Set up and solve multi-step problems involving percent increase and decrease.
- Set up and solve multi-step problems involving percents error.

- Vocabulary
- Games
- SMART presentation
- Practice Quiz Lesson 13
- Unit 2 Unit Practice Test

#### Unit 3 Lesson 14

- What will you learn:
- Add and subtract linear expressions
- Combine like terms
- Determine if two expressions are equivalent
- Write equivalent expressions

- Vocabulary
- coefficient – a number that is a factor of a variable term
- constant – a term that is a number only with no variable factors
- evaluate – to find the value of an expression
- factor – a number, variable, or expression that is part of a multiplication expression
- term – a number, a variable or the product of a number and a variable
- variable – a letter that stands for an unknown number

- Games
- Practice Quiz

#### Unit 3 Lesson 15

- What you will learn:
- Rewrite expressions in different forms
- Use expression to find perimeter and area of triangles and rectangles

- Vocabulary
- equivalent expressions – expressions that have that same value for every possible value of the variable
- adjacent – next to each other
- dimension – a length in one direction. A figure may have one, two, or three dimensions

- Practice Quiz

#### Unit 3 Lesson 16

- What you will learn:
- Solve expression with rational numbers

- Games
- Practice Quiz

#### Unit 3 Lesson 17

- What you will learn:
- Write and solve real-life inequalities
- Graph and interpret the solution set of an inequality

- Vocabulary
- inequality – two unequal values that are compared using less than and greater than symbols
- solution set – a group of possible values that make an equation or inequality true
- determine – decide based on evidence
- reverse – change something to its opposite
- suppose – to think or imagine something is true

- Games
- Practice Quiz

#### Unit 4 Lesson 22

- What you will learn:
- Understand that a scale is a ratio
- Compute actual lengths from a scale drawing
- Compute actual areas from a scale drawing
- Reproduce a scale drawing using a different scale

- Vocabulary
- scale drawing – a drawing that shows an object with its measurements in proportion to the actual
- scale – a ratio that compares the measurements used in a scale drawing with the actual measurements
- scale factor – a constant of proportionality
- actual – true; existing in reality
- constant of proportionality – the unit rate in a proportional relationship
- correspond – to relate to or with something
- typical – usual

- Games
- Practice Quiz

#### 8th Grade Unit 3 Lesson 12

- What you will learn
- Understand that similar triangles have proportional side lengths
- Use the slope and y-intercept to derive an equation for a linear function

- Vocabulary
- similar triangles – triangles that are scale drawings of one another – they have the same shape but may have a different size
- slope – the ratio of the vertical change to the horizontal change
- y-intercept – the y-coordinate of the point where a line crosses the y-axis

- Games
- Practice Quiz

#### 8th Grade Unit 3 Lesson 13

- What you will learn
- Solve multi-step linear equations with rational coefficients and with variables on both sides of the equation

- Games
- Practice Quiz

#### 8th Grade Unit 3 Lesson 14

- What you will learn
- Identify and provide examples of equations that have exactly one solution, infinitely many solutions or no solutions

- Vocabulary
- infinitely many – an unlimited number of

- Games
- Practice Quiz