### 7th Grade Math I Can Statements

### 7th Grade Core

### Utah Middle School Math Project 7th Grade

## Videos

#### 7.NS.1: Add and subtract rational numbers

- Learnzillion Video:
*Determine the values of opposite numbers using a number line* - Khan Academy Video:
*Adding negative numbers example* - Khan Academy Video:
*Adding and subtracting negative numbers* - Khan Academy Video:
*Adding negative numbers on the number line* - Khan Academy Video:
*Number equations and number lines* - Khan Academy Video:
*Adding fractions with different signs* - Khan Academy Video:
*Adding and subtracting fractions*

#### 7.NS.1a

- Learnzillion Video:
*Understand the additive inverse*

#### 7.NS.1b

- Learnzillion Video:
*Add integers using integer chips* - Learnzillion Video:
*Adding integers using a number line*

#### 7.NS.1c

- Learnzillion Video:
*Subtract integers using integer chips* - Learnzillion Video:
*Subtract integers by adding the additive inverse* - Learnzillion Video:
*Subtract integers using a number line* - Khan Academy Video:
*Subtracting a negative = adding a positive* - Khan Academy Video:
*Absolute value as distance between numbers*

#### 7.NS.1d

- Learnzillion Video:
*Subtract mixed numbers: regrouping* - Learnzillion Video:
*Determine the distance between integers by examining absolute value and number lines* - Learnzillion Video:
*Adding positive and negative integers on a number line*

#### 7.NS.2: Multiply and divide rational numbers

- Learnzillion Video:
*Multiply two positive or two negative integers on a number line* - Khan Academy Video:
*Multiplying positive and negative numbers* - Khan Academy Video:
*Multiplying positive and negative fractions*

#### 7.NS.2a

- Learnzillion Video:
*Prove that a negative times a negative equals a positive* - Khan Academy Video:
*Why a negative times a negative is a positive* - Khan Academy Video:
*Why a negative times a negative makes sense*

#### 7.NS.2b

- Learnzillion Video:
*Divide positive and negative integers by observing patterns* - Khan Academy Video:
*Dividing positive and negative numbers* - Khan Academy Video:
*Dividing negative fractions* - Khan Academy Video:
*Negative signs in fractions* - Khan Academy Video:
*Dividing mixed numbers* - Khan Academy Video:
*Why dividing by zero is undefined*

#### 7.NS.2c

- Learnzillion Video:
*Solve multiplication problems using the commutative and associative properties*

#### 7.NS.2d

- Learnzillion Video:
*Convert fractions and mixed numbers to decimals* - Khan Academy Video:
*Decimal to simplified fraction* - Khan Academy Video: Fraction to decimal: 11/25
- Khan Academy Video:
*Worked example: Converting a fraction (7/8) to a decimal* - Khan Academy Video:
*Fraction to decimal with rounding*

#### 7.NS.3: Solve real-world problems with rational numbers

- Learnzillion Video:
*Use addition and subtraction to solve real-world problems using decimals* - Learnzillion Video:
*Simplify expressions with order of operations* - Khan Academy Video:
*Simplifying complex fractions*

#### 7.EE.1: Combining like terms, the distributive property

- Learnzillion Video:
*Add linear expressions by combining like terms* - Learnzillion Video:
*Factor linear expressions* - Learnzillion Video:
*Factor an expression* - Learnzillion Video:
*Simplify an expression with a fraction using the distributive property* - Khan Academy Video:
*Expressions with rational numbers* - Khan Academy Video:
*Equivalent expressions with negative numbers (multiplication and division)*

#### 7.EE.3: Solving equations

- Learnzillion Video:
*Solve problems by writing and solving equations*

#### 7.EE.2: Rewriting expressions to reveal information

- Learnzillion Video:
*Write a percent increase problem as a product of the original amount*

#### 7.EE.4: Solving equations and inequalities

- Learnzillion Video:
*Use a bar model to write and solve equations* - Learnzillion Video:
*Describe a real-world situation into an equation* - Learnzillion Video: Write an inequality from a word problem
- Learnzillion Video:
*Solve problems by writing and solving equations*

#### 7.RP.1: Unit Rates

- Learnzillion Video:
*Understand unit rates using fractional rates* - Learnzillion Video:
*Determine unit rates using pictures* - Learnzillion Video:
*Find unit rates in situations involving fractions* - Learnzillion Video:
*Find the best deal by comparing unit rates* - Khan Academy Video:
*Intro to rates* - Khan Academy Video:
*Solving unit rate problem* - Khan Academy Video:
*Solving unit price problem* - Khan Academy Video:
*Rates with Fractions*

#### 7.G.1: Scale Factor

- Learnzillion Video:
*Find a length by using a scale factor and a proportion* - Khan Academy Video:
*Exploring scale copies* - Khan Academy Video:
*Corresponding points and sides of scaled shapes* - Khan Academy Video:
*Identify scale copies* - Khan Academy Video:
*Identify scale factors* - Khan Academy Video:
*Identifying values in scale drawings* - Khan Academy Video:
*Scale drawings: centimeters to kilometers* - Khan Academy Video:
*Making a scale drawing* - Khan Academy Video:
*Interpreting scale drawings*

#### 7.RP.2: Proportional Relationships

- Learnzillion Video:
*Identifying proportional relationships by examining a graph* - Learnzillion Video:
*Describe the relationship between measures by examining a graph* - Learnzillion Video:
*Answer questions about a proportional relationship using a graph* - Learnzillion Video:
*Identify the constant of proportionality in graphs* - Learnzillion Video:
*Write an equation that represents a proportional relationship between total cost and number of items* - Learnzillion Video:
*Identifying proportional relationships by examining a graph* - Khan Academy Video:
*Intro to proportional relationships* - Khan Academy Video:
*Proportional relationships: spaghetti (from a table)* - Khan Academy Video:
*Proportional relationships: movie tickets (story problem)* - Khan Academy Video:
*Proportional relationships: bananas (story problem)* - Khan Academy Video:
*Proportional relationships: graphs* - Khan Academy Video:
*Proportional relationships* - Khan Academy Video:
*Is side length and perimeter proportional* - Khan academy Video:
*Is side length and area proportional* - Khan Academy Video:
*Constant of proportionality from equation* - Khan Academy Video:
*Constant of proportionality graphically* - Khan Academy Video:
*Constant of proportionality from a table* - Khan Academy Video:
*Comparing proportionality constants* - Khan Academy Video:
*Interpreting proportionality constants* - Khan Academy Video:
*Proportion word problem: cookies* - Khan Academy Video:
*Equations for proportional relationships* - Khan Academy Video:
*Writing proportional equations* - Khan Academy Video:
*Interpreting graphs of proportional relationships*

#### 7.RP.3: Percents

#### 7.NS.2.d: Converting fractions to decimals

#### 7.SP.5: Probability

#### 7.SP.6: Experimental Probability

#### 7.SP.7: Probability Models

#### 7.SP.8: Probability of Compound Events

#### 7.G.5: Angle Relationships

#### 7.G.2: Triangles and Polygons

#### 7.G.4: Circles

#### 7.G.6: Surface Area and Volume

#### 7.G.3: Two-Dimensional Cross-sections from Three-Dimensional Figures

#### 7.SP.1: Statistics and Sampling

#### 7.SP.2: Drawing Inferences about a Population

#### 7.SP.3: Comparing Data Sets

#### 7.SP.4: Comparing Data Sets using Measures of Center