Content Standards

7.M.1: Number and Operation

7.M.1.1: Understand and use numbers.

7.M.1.1.1: Compare magnitudes and relative magnitudes of rational numbers, including integers, fractions, and decimals.

Comparing and Ordering Decimals

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

7.M.1.1.2: Solve problems requiring the conversion between simple decimals, fractions, ratios, and percents.

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

7.M.1.1.3: Locate the position of rational numbers on a number line.

Fraction Garden (Comparing Fractions)

Fractions Greater than One (Fraction Tiles)

Rational Numbers, Opposites, and Absolute Values

7.M.1.1.5: Apply the number theory concepts of primes, composites, and prime factorization and find the Least Common Multiple (LCM) and the Greatest Common Factor (GCF).

Finding Factors with Area Models

7.M.1.1.7: Describe the use of integers in real-world situations.

Integers, Opposites, and Absolute Values

7.M.1.2: Perform computations accurately.

7.M.1.2.1: Recall the common equivalent fractions, decimals, and percents of halves, fourths, and tenths.

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

7.M.1.2.2: Add, subtract, multiply, and divide whole numbers, fractions and decimals; and add, multiply, and divide integers.

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

Multiplying with Decimals

Square Roots

Sums and Differences with Decimals

7.M.1.2.4: Evaluate numerical expressions using the order of operations with whole numbers and decimals.

Order of Operations

Solving Equations on the Number Line

7.M.1.2.6: Use a variety of strategies including common mathematical formulas to compute problems drawn from real life situations.

7.M.1.3: Estimate and judge reasonableness of results.

7.M.1.3.5: Formulate conjectures and discuss why they must be or seem to be true.

7.M.2: Concepts and Principles of Measurement

7.M.2.1: Understand and use U.S. customary and metric measurements.

7.M.2.1.3: Explain the differences between perimeter, area, and volume (capacity) and their measures within both systems.

Circumference and Area of Circles

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

Pyramids and Cones

7.M.2.1.4: Given the formulas, find the perimeter, circumference, or area of triangles, circles, and quadrilaterals.

Area of Parallelograms

Area of Triangles

Circumference and Area of Circles

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

7.M.2.1.5: Convert units of measurement within each system.

7.M.2.1.6: Solve problems involving perimeter and area of rectangles and triangles.

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

7.M.2.2: Apply the concepts of rates, ratios, and proportions.

7.M.2.2.1: Explain rates and their relationship to ratios, and use proportions to solve problems represented with a diagram.

Beam to Moon (Ratios and Proportions)

Proportions and Common Multipliers

Road Trip (Problem Solving)

7.M.2.2.2: Reduce rates to unit rates.

7.M.2.3: Apply dimensional analysis.

7.M.2.3.1: Identify properly constructed dimensional analysis conversions.

7.M.3: Concepts and Language of Algebra and Functions

7.M.3.1: Use algebraic symbolism as a tool to represent mathematical relationships.

7.M.3.1.1: Use variables in simple expressions and equations.

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations I

Solving Equations on the Number Line

Using Algebraic Equations

7.M.3.1.2: Translate simple word statements into algebraic expressions and equations.

Linear Functions

Solving Equations on the Number Line

Using Algebraic Equations

Using Algebraic Expressions

7.M.3.1.3: Use symbols "<", ">", "=", "not equal to", "less than or equal to", and "greater than or equal to" to express relationships.

Comparing and Ordering Decimals

7.M.3.2: Evaluate algebraic expressions.

7.M.3.2.1: Evaluate simple numeric and algebraic expressions using commutative, associative, identity, zero, inverse, distributive, and substitution properties.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Order of Operations

Solving Equations by Graphing Each Side

7.M.3.2.2: Use the order of operations in evaluating simple algebraic expressions.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Order of Operations

7.M.3.3: Solve algebraic equations and inequalities.

7.M.3.3.1: Solve one-step equations.

Modeling One-Step Equations

Solving Algebraic Equations II

Solving Equations on the Number Line

7.M.3.4: Understand the concept of functions.

7.M.3.4.1: Extend patterns involving rational numbers and describe the rule that generates the pattern.

Function Machines 1 (Functions and Tables)

7.M.3.4.2: Explain how a change in one quantity impacts a change in another quantity.

Translating and Scaling Functions

7.M.3.4.3: Use appropriate vocabulary and notations.

Function Machines 1 (Functions and Tables)

Points, Lines, and Equations

7.M.3.6: Apply functions to a variety of problems.

7.M.3.6.1: Use patterns and linear functions to represent and solve simple problems.

7.M.4: Concepts and Principles of Geometry

7.M.4.1: Apply concepts of size, shape, and spatial relationships.

7.M.4.1.4: Explain and model the effects of reflections, translations, and rotations on various shapes.

Holiday Snowflake Designer

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Similar Figures

7.M.4.1.5: Identify congruence, similarities, and line symmetry of shapes.

Holiday Snowflake Designer

Similar Figures

Similarity in Right Triangles

7.M.4.1.6: Describe the concept of surface area and volume (capacity).

Surface and Lateral Areas of Prisms and Cylinders

7.M.4.3: Apply graphing in two dimensions.

7.M.4.3.1: Identify and plot points on a coordinate plane.

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Points in the Coordinate Plane

Points, Lines, and Equations

Slope

7.M.5: Data Analysis, Probability, and Statistics

7.M.5.1: Understand data analysis.

7.M.5.1.1: Read and interpret tables, charts, and graphs, including frequency tables, scatter plots, broken line graphs, line plots, bar graphs, histograms, circle graphs, and stem-and-leaf plots.

Correlation

Elevator Operator (Line Graphs)

Graphing Skills

Histograms

Mean, Median, and Mode

Prairie Ecosystem

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Sight vs. Sound Reactions

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in Scatter Plots

7.M.5.1.3: Use appropriate vocabulary and notations.

Polling: City

Real-Time Histogram

7.M.5.2: Collect, organize, and display data.

7.M.5.2.1: Collect, organize, and display data with appropriate notation in tables, charts and graphs, including scatter plots, broken line graphs, line plots, bar graphs, and stem-and-leaf plots.

Correlation

Describing Data Using Statistics

Distance-Time Graphs

Elevator Operator (Line Graphs)

Graphing Skills

Histograms

Mean, Median, and Mode

Prairie Ecosystem

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in Scatter Plots

7.M.5.3: Apply simple statistical measurements.

7.M.5.3.1: Determine the measures of central tendency – mean, median and mode – with sets of data.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Sight vs. Sound Reactions

Stem-and-Leaf Plots

7.M.5.3.2: Discuss distribution of data, including range, frequency, gaps, and clusters.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Polling: City

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

7.M.5.4: Understand basic concepts of probability.

7.M.5.4.1: Predict, perform, and record results of simple probability experiments.

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

7.M.5.4.2: Recognize equally likely outcomes.

Independent and Dependent Events

Spin the Big Wheel! (Probability)

7.M.5.4.3: Explain that probability ranges from impossible to certain (0% to 100%).

Geometric Probability

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

7.M.5.4.4: Use the language of probability.

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

7.M.5.5: Make predictions or decisions based on data.

7.M.5.5.1: Make predictions based on simple theoretical probabilities.

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

7.M.5.5.2: Use appropriate vocabulary and notations.

Probability Simulations

Theoretical and Experimental Probability

Correlation last revised: 4/4/2018

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