MA.7.A.1: Develop an understanding of and apply proportionality, including similarity.

MA.7.A.1.1: Distinguish between situations that are proportional or not proportional and use proportions to solve problems.

Beam to Moon (Ratios and Proportions)
Direct and Inverse Variation
Estimating Population Size
Geometric Probability
Part-to-part and Part-to-whole Ratios
Proportions and Common Multipliers

MA.7.A.1.2: Solve percent problems, including problems involving discounts, simple interest, taxes, tips and percents of increase or decrease.

Compound Interest
Percent of Change
Percents, Fractions, and Decimals
Real-Time Histogram
Time Estimation

MA.7.A.1.3: Solve problems involving similar figures.

Circles
Similar Figures
Similarity in Right Triangles

MA.7.A.1.4: Graph proportional relationships and identify the unit rate as the slope of the related linear function.

Compound Interest
Direct and Inverse Variation

MA.7.A.1.5: Distinguish direct variation from other relationships, including inverse variation.

Direct and Inverse Variation

MA.7.G.2: Develop an understanding of and use formulas to determine surface areas and volumes of three-dimensional shapes.

MA.7.G.2.1: Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones.

Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

MA.7.G.2.2: Use formulas to find surface areas and volume of three-dimensional composite shapes.

Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

MA.7.A.3: Develop an understanding of operations on all rational numbers and solving linear equations.

MA.7.A.3.1: Use and justify the rules for adding, subtracting, multiplying, dividing, and finding the absolute value of integers.

Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials
Integers, Opposites, and Absolute Values

MA.7.A.3.2: Add, subtract, multiply, and divide integers, fractions, and terminating decimals, and perform exponential operations with rational bases and whole number exponents including solving problems in everyday contexts.

Adding Fractions (Fraction Tiles)
Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials
Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers

MA.7.A.3.3: Formulate and use different strategies to solve one-step and two-step linear equations, including equations with rational coefficients.

Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Solving Two-Step Equations

MA.7.A.3.4: Use the properties of equality to represent an equation in a different way and to show that two equations are equivalent in a given context.

Solving Algebraic Equations II

MA.7.G.4: Geometry and Measurement

MA.7.G.4.1: Determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and apply these relationships to solve problems.

Perimeter and Area of Rectangles

MA.7.G.4.2: Predict the results of transformations and draw transformed figures, with and without the coordinate plane.

Dilations
Rotations, Reflections, and Translations

MA.7.G.4.3: Identify and plot ordered pairs in all four quadrants of the coordinate plane.

City Tour (Coordinates)
Points in the Coordinate Plane

MA.7.G.4.4: Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)), dimensions, and derived units to solve problems.

Unit Conversions

MA.7.S.6: Data Analysis

MA.7.S.6.1: Evaluate the reasonableness of a sample to determine the appropriateness of generalizations made about the population.

Polling: City

MA.7.S.6.2: Construct and analyze histograms, stem-and-leaf plots, and circle graphs.

Graphing Skills
Histograms
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Sight vs. Sound Reactions
Stem-and-Leaf Plots

MA.7.P.7: Probability

MA.7.P.7.1: Determine the outcome of an experiment and predict which events are likely or unlikely, and if the experiment is fair or unfair.

Probability Simulations
Theoretical and Experimental Probability

MA.7.P.7.2: Determine, compare, and make predictions based on experimental or theoretical probability of independent or dependent events,

Independent and Dependent Events
Theoretical and Experimental Probability