7.1: Number Sense and Computation

7.1.3: Recognize the prime factors of a number and find the prime factorization of whole numbers. Write the results using exponents.

Finding Factors with Area Models

7.1.4: Recognize or use prime and composite numbers to solve problems.

Finding Factors with Area Models

7.1.5: Recognize and use the inverse relationship between squaring and finding the square root of a perfect square integer.

Square Roots

7.1.6: Identify, write, rename, compare and order rational and common irrational numbers and plot them on a number line.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers
Fraction Garden (Comparing Fractions)
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1

7.1.7: Solve problems that involve multiplication and division with integers, fractions, decimals and combinations of the four operations.

Adding Fractions (Fraction Tiles)
Adding Real Numbers
Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals

7.1.8: Solve problems involving percents.

7.1.8.1: Find the whole given a part and the percent.

Percents and Proportions

7.1.8.2: Find the percent increase or decrease.

Percent of Change

7.1.9: Solve problems involving ratios and proportions.

7.1.9.2: Given their ratio, find how many times one quantity is as large as another and vice versa.

Part:Part and Part:Whole Ratios
Beam to Moon (Ratios and Proportions)
Estimating Population Size

7.1.9.3: Given the two quantities, express one quantity as a fraction of another.

Improper Fractions and Mixed Numbers
Part:Part and Part:Whole Ratios
Percents, Fractions and Decimals
Polling: Neighborhood

7.1.9.4: In a given ratio, find the whole, or one part, when a whole is divided into parts.

Part:Part and Part:Whole Ratios
Polling: Neighborhood

7.1.9.5: Solve problems involving two pairs of equivalent ratios.

Part:Part and Part:Whole Ratios
Polling: Neighborhood
Beam to Moon (Ratios and Proportions)
Estimating Population Size

7.2: Algebra and Functions

7.2.1: Use variables and appropriate operations to write an expression, equation or inequality that represents a verbal description.

Using Algebraic Equations
Using Algebraic Expressions

7.2.2: Write and solve two-step linear equations and inequalities in one variable.

Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations
Using Algebraic Equations
Using Algebraic Expressions

7.2.3: Evaluate numerical expressions and simplify algebraic expressions involving rational and irrational numbers.

Order of Operations

7.2.4: Solve an equation or formula with two variables for a particular variable.

Solving Formulas for any Variable

7.2.5: Find the slope of a line from its graph and relate the slope of a line to similar triangles.

Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line

7.2.6: Draw the graph of a line given either its slope and one point on the line or two points on the line.

Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line

7.2.7: Identify situations that involve proportional relationships, draw graphs representing these situations and recognize that these situations are described by a linear function in the form y = mx, where the unit rate m is the slope of the line.

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Elevator Operator (Line Graphs)
Linear Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

7.3: Geometry and Measurement

7.3.1: Identify and use basic properties of angles formed by transversals intersecting pairs of parallel lines.

Investigating Angle Theorems - Activity A

7.3.2: Identify, describe and use transformations (translations, rotations, reflections and simple compositions of these transformations) to solve problems.

Quilting Bee (Symmetry)
Reflections
Rock Art (Transformations)
Rotations, Reflections and Translations

7.3.3: Draw two-dimensional patterns (nets) for three-dimensional objects like right prisms, pyramids, cylinders and cones.

3D and Orthographic Views - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

7.3.4: Recognize, describe or extend geometric patterns using tables, graphs, words or symbols.

Arithmetic and Geometric Sequences
Finding Patterns

7.3.5: Identify, describe and construct similarity relationships and solve problems involving similarity (including similar triangles). Scale drawings by using proportional reasoning.

Similar Figures - Activity A

7.3.6: Solve simple problems involving distance, speed and time.

7.3.6.1: Understand concepts of speed and average speed.

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs

7.3.6.2: Understand the relationships among distance, time and speed.

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs

7.3.6.3: Find speed, distance or time given the other two quantities.

Modeling Linear Systems - Activity A

7.3.6.5: Solve simple problems involving speed and average speed.

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs

7.4: Data Analysis and Probability

7.4.1: Create, analyze and interpret data sets in multiple ways using bar graphs, frequency tables, line plots, histograms and circle graphs. Justify the choice of data display.

Describing Data Using Statistics
Graphing Skills
Histograms
Line Plots
Mean, Median and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

7.4.2: Make predictions from statistical data and use proportions to make estimates about a population based on a sample.

Polling: City

7.4.3: Describe how additional data, particularly outliers, added to a data set may affect the mean, median and mode.

Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

7.4.5: Understand that when all outcomes are equally likely, the theoretical probability of an event is the fraction of outcomes in which the event may occur. Use theoretical probability and proportions to make predictions.

Geometric Probability - Activity A
Polling: Neighborhood
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability