## Parents & Students | 7th Grade Math

### 7th Grade Math I Can Statements

### 7th Grade Core

### USOE 7th Grade Core Guides

### USOE 7th Grade Honors Core Guides

### USOE 7th Grade Textbook

## Learnzillion Videos

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

- Video: Determine the values of opposite numbers using a number line
- Video: Understand the additive inverse
- Video: Use additive inverses to make zero
- Video: Find the additive inverse using an equation

#### 7.NS.1.a

- Video: Create zero pairs using integer chips
- Video: Combine opposite numbers on a number line
- Video: Combine opposite rational numbers on a number line

#### 7.NS.1.b

- Video: Add integers using integer chips
- Video: Add integers using color counters
- Video: Adding integers using a number line
- Video: Add integers with the same sign using number lines
- Video: Add integers with the same sign
- Video: Add integers with opposite signs using a number line
- Video: Add integers with different signs
- Video: Adding integers with opposite signs using an algorithm
- Video: Add rational numbers using algorithms and number lines
- Video: Solve word problems with rational numbers

#### 7.NS.1.c

- Video: Subtract integers using integer chips
- Video: Subtract integers by adding the additive inverse
- Video: Subtract integers using a number line
- Video: Subtract integers using distance on a number line
- Video: Find the distance between two points using absolute value
- Video: Subtract rational numbers using an algorithm
- Video: Subtract rational numbers in real world contexts

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

- Video: Identify rational numbers
- Video: Create and use a neutral field by thinking about the relationship between positive and negative integers

#### 7.NS.2.a

- Video: Compare the outcome of fraction multiplication with the outcomes of decimal multiplication
- Video: Multiply a positive integer by a negative integer by thinking about equal groups
- Video: Multiply a negative integer by a positive integer by thinking about equal groups
- Video: Multiply a negative integer by a negative integer by thinking about equal groups
- Video: Multiply integers using the money model
- Video: Multiply integers using patterns
- Video: Prove that a negative times a negative equals a positive

#### 7.NS.2.b

- Video: Compare fraction and decimal division
- Video: Divide integers using inverse operations
- Video: Use division concepts to understand where to put the negative sign in a fraction
- Video: Understand dividing by zero

#### 7.NS.2.c

- Video: Rewrite multiplication problems using the commutative property
- Video: Rewrite division problems using the commutative property
- Video: Rewrite multiplication problems with rational numbers using the associative property
- Video: Rewrite multiplication problems with rational numbers using the commutative and associative properties
- Video: Rewrite problems with rational numbers using different properties of multiplication and division
- Video: Solve multiplication problems using the associative property
- Video: Solve multiplication problems using the commutative and associative properties
- Video: Solve multiplication problems by using the distributive property
- Video: Use the commutative property to solve division problems

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

- Video: Solve real-world problems using rational numbers
- Video: Use addition and subtraction to solve real-world problems using decimals
- Video: Use addition and subtraction to solve real-world problems using fractions
- Video: Use addition and division to solve real-world problems with rational numbers

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

- Video: Add linear expressions by combining like terms
- Video: Expand linear expression using the distributive property
- Video: Expand linear expressions with fractions using the distributive property
- Video: Factor linear expressions
- Video: Simplify an expression by distributing a negative
- Video: Factor an expression
- Video: Simplify expressions using distribution and combining like terms
- Video: Simplify an expression with a fraction using the distributive property
- Video: Simplify an expression with a fraction by adding or subtracting terms

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

- Video: Approach a multi-step problem using steps
- Video: Solve problems using a chart
- Video: Solve problems by writing and solving equations
- Video: Estimate to check reasonableness
- Video: Solve multi-step problems using order of operations
- Video: Solve multi-step problems by creating diagrams
- Video: Solve multi-step problems with positive and negative fractions
- Video: Solve word problems with positive and negative fractions
- Video: Solve multi-step problems with positive and negative decimals using order of operations
- Video: Solve multi-step problems with positive and negative decimals using mathematical reasoning
- Video: Use order of operations to solve multi-step problems

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

- Video: Write an expression to find the cost of an item with tax
- Video: Write an expression to find the cost of a discounted item
- Video: Write a percent markup expression
- Video: Write a percent increase problem as a product of the original amount
- Video: Write a percent decrease problem as a product of the original amount
- Video: Rewrite an expression by expanding it
- Video: Identify equivalent expressions using substitution

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

- Video: Use a bar model to write and solve equations
- Video: Solve an equation using inverse operations
- Video: Convert a real-world situation into an equation
- Video: Write an inequality from a word problem
- Video: Solve inequalities with inverse operations
- Video: Represent an inequality solution set on a number line

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

- Video: Calculate a unit rate with two fractions using division
- Video: Understand unit rates using fractional rates
- Video: Determine unit rates using pictures
- Video: Determine unit rates using a table
- Video: Determine unit rates using multiplicative inverses
- Video: Approximate unit rates from verbal descriptions
- Video: Find unit rates in situations involving fractions
- Video: Find the best deal by comparing unit rates
- Video: Using unit rates to interpret scale maps and scale models
- Video: Scale recipes by applying unit rates

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

- Video: Find a length by using a scale factor and a proportion
- Video: Find a perimeter by using a scale factor and a proportion
- Video: Find an area by using a scale factor and a proportion
- Video: Make a new scale drawing from a given one

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

- Video: Graph a proportional relationship using a table
- Video: Identifying proportional relationships by examining a graph
- Video: Identify proportional relationships by examining the origin
- Video: Evaluate specific points on a graph of a proportional relationship
- Video: Describe the relationship between measures by examining a graph
- Video: Quantify the relationship of two proportional measures
- Video: Determine the unit rate of a proportional relationship using a graph
- Video: Answer questions about a proportional relationship using a graph
- Video: Determine if two rates are equivalent by dividing
- Video: Determine if two rates are equivalent by graphing
- Video: Understand rates as special types of ratios
- Video: Identify rates from verbal descriptions
- Video: Identify rates using equations
- Video: Identify unit rates in diagrams
- Video: Identify unit rates in graphs
- Video: Identify the constant of proportionality in ratio tables
- Video: Identify the constant of proportionality in graphs
- Video: Identify the constant of proportionality from a diagram
- Video: Identify the constant of proportionality by writing an equation in the form y = mx
- Video: Write an equation that expresses the relationship between two proportional quantities
- Video: Write an equation that represents a proportional relationship between total cost and number of items
- Video: Determine the best deal by comparing equations
- Video: Write an equation that expresses the relationship between distance and time
- Video: Compare rates of speed by comparing equations that represent the relationship between distance and time
- Video: Write equations to represent the proportional relationship between amount of change and final amount
- Video: Calculate simple interest using the simple interest equation
- Video: Graph a proportional relationship using a table
- Video: Identifying proportional relationships by examining a graph
- Video: Identify proportional relationships by examining the origin
- Video: Evaluate specific points on a graph of a proportional relationship

#### 7.RP.3: Percents

- Video: Understand percent problems
- Video: Solve ratio and percent problems using bar models
- Video: Solve ratio and percent problems using a proportion
- Video: Solve multi-step ratio and percent problems using proportions
- Video: Solve for an unknown percentage

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

- Video: Convert unit fractions to a terminating decimal
- Video: Convert unit fractions to repeating decimals
- Video: Convert fractions and mixed numbers to decimals
- Video: Convert a fraction to a terminating decimal with one or two digits
- Video: Convert challenging fractions to terminating decimals using visual representations
- Video: Determine whether a fraction will convert to a repeating decimal
- Video: Determine if a fraction will convert to a terminating or repeating decimal using proportional reasoning
- Video: Convert fractions to decimals using division

#### 7.SP.5: Probability

- Video: Calculate the probability of an event by creating a ratio
- Video: Describe the probability of an event using a number line
- Video: Calculate the probability of an event by making a sum of 1

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

- Video: Find the experimental probability by creating a ratio
- Video: Compare experimental and theoretical probability to interpret data
- Video: Predict the frequency of an event using results from experiments
- Video: Predict the frequency of an event using the theoretical probability

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

- Video: Analyze the probability of an event by assigning equal probability to all outcomes
- Video: Find the probability of events with multiple possibilities
- Video: Understand the Law of Large Numbers by comparing experimental results to the theoretical probability
- Video: Explain discrepancies in results from a probability model by comparing the experimental and theoretical probabilities

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

- Video: Analyze independent and dependent events
- Video: Find the probability of a compound event by creating an organized list
- Video: Find the probability of a compound event by creating a tree diagram
- Video: Find the probability of a compound event by creating a table

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

- Video: Find angle measurements using complementary and supplementary angles
- Video: Write and solve equations using complementary and supplementary angles
- Video: Find angle measurements using vertical angles
- Video: Write equations using vertical angles
- Video: Write equations for problems using facts about angle relationships

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

- Video: Draw geometric shapes given the length of sides
- Video: Draw triangles using given angles
- Video: Determine if given measurements will allow you to create the appropriate shape
- Video: Draw a polygon using more than one condition

#### 7.G.4: Circles

- Video: Determine the measure of a circle
- Video: Find the circumference of a circle
- Video: Find the area of a circle
- Video: Use circumference to solve for area
- Video: Use area of a circle to solve for circumference

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

- Video: Find surface area of cubes and prisms by pulling them apart
- Video: Find surface area of cubes and prisms using formulas
- Video: Find missing dimensions using the volume formula
- Video: Choose the appropriate measurement for solving a problem

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

- Video: Describe two-dimensional cross-sections of right rectangular prisms
- Video: Describe two-dimensional cross-sections of right rectangular pyramids

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

- Video: Identify a random sample
- Video: Identify a representative sample
- Video: Generate a representative sample
- Video: Understanding biased samples

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

- Video: Make inferences about a population by analyzing random samples
- Video: Use proportional reasoning to make estimates about a population
- Video: Assess whether an inference is valid by analyzing data
- Video: Make estimates about a population using the mean of multiple samples

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

- Video: Compare the means and mean-absolute-deviations of two data sets
- Video: Compare medians and interquartile ranges of two data sets
- Video: Use variability and measures of center to persuade
- Video: Analyze deceptive advertising using measures of center and variability

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

- Video: Compare populations using mean
- Video: Compare populations using median
- Video: Make inferences about range
- Video: Compare interquartile range using box plots
- Video: Compare two populations using mean-absolute-deviation