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.

 Estimating Population Size

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.

 Biconditional Statements

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.

 Unit Conversions

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.

 Road Trip (Problem Solving)

7.M.2.3: Apply dimensional analysis.

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

 Unit 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.

 Compound Interest

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

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.