MA 7.1: Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 7.1.2: Students will compute with rational numbers accurately.

MA 7.1.2.a: Solve problems using proportions and ratios (e.g., cross products, percents, tables, equations, and graphs).

Beam to Moon (Ratios and Proportions)
Direct and Inverse Variation
Estimating Population Size
Geometric Probability
Part-to-part and Part-to-whole Ratios
Percent of Change
Percents, Fractions, and Decimals
Proportions and Common Multipliers
Road Trip (Problem Solving)

MA 7.1.2.b: Add, subtract, multiply, and divide rational numbers (e.g., positive and negative fractions, decimals, and integers).

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

MA 7.1.2.c: Apply properties of operations as strategies for problem solving with rational numbers.

Rational Numbers, Opposites, and Absolute Values

MA 7.1.2.d: Use multiple strategies to add, subtract, multiply, and divide integers.

Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials

MA 7.1.2.e: Estimate and check reasonableness of answers using appropriate strategies and tools.

Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Improper Fractions and Mixed Numbers
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

MA 7.2: Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 7.2.1: Students will demonstrate, represent, and show relationships with expressions, equations, and inequalities.

MA 7.2.1.a: Describe and create an inequality from words and pictures (e.g., one-step, one-variable).

Comparing and Ordering Decimals

MA 7.2.1.b: Represent real-world situations with proportions.

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

MA 7.2.2: Students will apply the operational properties when evaluating expressions, and solving equations and inequalities.

MA 7.2.2.a: Solve equations using the distributive property and combining like terms.

Chocomatic (Multiplication, Arrays, and Area)
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II

MA 7.2.2.b: Use factoring and properties of operations to create equivalent algebraic expressions (e.g., 2x + 6 = 2(x + 3)).

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Algebraic Equations II

MA 7.2.2.c: Given the value of the variable(s), evaluate algebraic expressions (including absolute value).

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions

MA 7.2.2.d: Solve two-step equations involving rational numbers which include the integers.

Solving Algebraic Equations II

MA 7.2.2.e: Solve one-step inequalities involving integers and rational numbers and represent solutions on a number line.

Solving Linear Inequalities in One Variable

MA 7.2.3: Students will solve real-world problems involving expressions, equations, and inequalities.

MA 7.2.3.a: Describe and write linear equations from words and tables.

Function Machines 2 (Functions, Tables, and Graphs)
Linear Functions
Linear Inequalities in Two Variables
Modeling One-Step Equations
Points, Lines, and Equations
Solving Equations by Graphing Each Side
Standard Form of a Line

MA 7.2.3.b: Write a two-step equation to represent real-world problems involving rational numbers in any form.

Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Solving Two-Step Equations

MA 7.2.3.c: Solve real-world problems with equations that involve rational numbers in any form.

Solving Equations on the Number Line

MA 7.2.3.d: Solve real-world problems with inequalities.

Linear Inequalities in Two Variables

MA 7.2.3.e: Use proportional relationships to solve real-world problems, including percent problems, (e.g., % increase, % decrease, mark-up, tip, simple interest).

Beam to Moon (Ratios and Proportions)
Compound Interest
Part-to-part and Part-to-whole Ratios
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals

MA 7.2.3.f: Solve real-world problems involving scale drawings using a proportional relationship.

Dilations

MA 7.3: Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 7.3.1: Students will identify and describe geometric characteristics of two-dimensional shapes.

MA 7.3.1.a: Apply and use properties of adjacent, complementary, supplementary, and vertical angles to find missing angle measures.

Investigating Angle Theorems
Triangle Angle Sum

MA 7.3.3: Students will perform and compare measurements and apply formulas.

MA 7.3.3.c: Determine the area and circumference of circles both on and off the coordinate plane.

Circumference and Area of Circles

MA 7.4: Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 7.4.1: Students will create displays that represent data.

MA 7.4.1.a: Represent data using circle graphs.

Graphing Skills

MA 7.4.2: Students will analyze data to address the situation.

MA 7.4.2.a: Solve problems using information presented in circle graphs.

Graphing Skills

MA 7.4.2.b: Explain the difference between a population and a sample.

Polling: City
Polling: Neighborhood
Populations and Samples

MA 7.4.2.c: Generate conclusions about a population based upon a random sample.

Polling: City
Polling: Neighborhood

MA 7.4.3: Students will interpret and apply concepts of probability.

MA 7.4.3.a: Generate a list of possible outcomes for a simple event.

Independent and Dependent Events
Theoretical and Experimental Probability

MA 7.4.3.b: Describe the theoretical probability of an event using a fraction, percentage, and decimal.

Geometric Probability
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

MA 7.4.3.c: Find theoretical probabilities for independent events.

Independent and Dependent Events
Theoretical and Experimental Probability

MA 7.4.3.d: Perform simple experiments and express the degree of likelihood (possible, impossible, certain, more likely, equally likely, or less likely); write as fractions and percentages.

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

MA 7.4.3.e: Find experimental probability for independent events.

Independent and Dependent Events
Theoretical and Experimental Probability

MA 7.4.3.f: Compare and contrast theoretical and experimental probabilities.

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

MA 7.4.3.g: Find the probability of dependent compound events.

Independent and Dependent Events