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 7.1.1: Students will represent and show relationships among rational numbers.

MA 7.1.1.a: Show equivalence among fractions, decimals, and percents

Percents, Fractions, and Decimals

MA 7.1.1.b: Compare and order rational numbers (e.g., fractions, decimals, percents)

Adding Fractions (Fraction Tiles)
Comparing and Ordering Decimals
Fraction Garden (Comparing Fractions)
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values
Toy Factory (Set Models of Fractions)

MA 7.1.1.c: Represent large numbers using scientific notation

Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits

MA 7.1.1.d: Classify numbers as natural, whole, integer, or rational

Rational Numbers, Opposites, and Absolute Values

MA 7.1.2: Students will demonstrate the meaning of arithmetic operations with positive fractions, decimals, and integers.

MA 7.1.2.a: Use drawings, words, and symbols to explain the meaning of multiplication and division of fractions (e.g., 2/3 x 6 as two-thirds of six, or 6 x 2/3 as 6 groups of two-thirds, or 6 ÷ 2/3 as how many two-thirds there are in six.)

Adding and Subtracting Integers
Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Using Algebraic Expressions

MA 7.1.2.b: Use drawings, words, and symbols to explain the meaning of multiplication and division of decimals

Multiplying with Decimals
Square Roots

MA 7.1.2.c: Use drawings, words, and symbols to explain the addition and subtraction of integers

Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials
Using Algebraic Expressions

MA 7.1.3: Students will compute fluently and accurately using appropriate strategies and tools.

MA 7.1.3.a: Compute accurately with integers

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

MA 7.1.3.b: Select, apply, and explain the method of computation when problem solving using integers and positive rational numbers (e.g., models, mental computation, paper-pencil, technology, divisibility rules)

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)
Improper Fractions and Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

MA 7.1.3.c: Solve problems involving percent of numbers (e.g., percent of, % increase, % decrease)

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

MA 7.1.4: Students will estimate and check reasonableness of answers using appropriate strategies and tools.

MA 7.1.4.a: Use estimation methods to check the reasonableness of solutions for problems involving integers and positive rational numbers

Estimating Sums and Differences

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

MA 7.2.1: Students will describe, compare, and contrast characteristics, properties, and relationships of geometric shapes and objects.

MA 7.2.1.a: Identify and describe similarity of two-dimensional shapes using side and angle measurements

Similar Figures

MA 7.2.1.b: Name line, line segment, ray, and angle (e.g., "line" AB, "ray" PR "angle" LMN)

Classifying Quadrilaterals
Elevator Operator (Line Graphs)

MA 7.2.2: Students will specify locations and describe relationships using coordinate geometry.

MA 7.2.2.a: Plot the location of an ordered pair in the coordinate plane

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Linear Functions
Point-Slope Form of a Line
Points in the Coordinate Plane
Points, Lines, and Equations
Slope

MA 7.2.2.b: Identify the quadrant of a given point in the coordinate plane

City Tour (Coordinates)
Points in the Coordinate Plane

MA 7.2.2.c: Find the distance between points along horizontal and vertical lines of a coordinate plane (e.g., what is the distance between (0, 3) and (0, 9))

Points in the Coordinate Plane

MA 7.2.3: Students will use transformations and symmetry to analyze geometric shapes.

MA 7.2.3.a: Identify lines of symmetry for a reflection

Holiday Snowflake Designer
Quilting Bee (Symmetry)
Rock Art (Transformations)

MA 7.2.3.b: Perform and describe positions and orientation of shapes under a single transformation (e.g., translation, rotation, reflection) on a coordinate plane

Dilations
Rotations, Reflections, and Translations

MA 7.2.4: Students will use visualization to create geometric models in solving problems.

MA 7.2.4.b: Create two-dimensional representations of three-dimensional objects to visualize and solve problems (e.g., perspective drawing of surface area)

Surface and Lateral Areas of Prisms and Cylinders

MA 7.2.5: Students will select and apply appropriate procedures, tools, and formulas to determine measurements.

MA 7.2.5.a: Measure angles to the nearest degree

Triangle Angle Sum

MA 7.2.5.b: Determine the area of trapezoids and circles, and the circumference of circles

Circumference and Area of Circles

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

MA 7.3.1: Students will represent and analyze relationships using algebraic symbols.

MA 7.3.1.a: Describe and create algebraic expressions from words, tables, and graphs

Compound Interest
Points, Lines, and Equations
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

MA 7.3.1.c: Recognize and generate equivalent forms of simple algebraic expressions

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Exponents and Power Rules
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

MA 7.3.2: Students will create, use, and interpret models of quantitative relationships.

MA 7.3.2.a: Model contextualized problems using various representations (e.g., one-step/variable expressions, one-step/variable equations)

Arithmetic Sequences
Compound Interest
Geometric Sequences
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Equations on the Number Line
Solving Two-Step Equations

MA 7.3.2.b: Represent a variety of quantitative relationships using algebraic expressions and one-step equations

Compound Interest
Modeling One-Step Equations
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

MA 7.3.3: Students will apply properties to solve equations and inequalities.

MA 7.3.3.a: Explain additive inverse of addition (e.g., 7 + -7 = 0)

Simplifying Algebraic Expressions I

MA 7.3.3.b: Use symbolic representation of the distributive property (e.g., 2(x + 3) = 2x + 6)

Square Roots

MA 7.3.3.d: Solve two-step equations involving integers and positive rational numbers

Solving Algebraic Equations II
Solving Equations on the Number Line

MA 7.3.3.e: Solve one-step inequalities involving positive rational numbers

Solving Linear Inequalities in One Variable

MA 7.3.3.f: Identify and explain the properties used in solving two-step equations (e.g., addition, subtraction, multiplication and division)

Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line
Solving Two-Step Equations

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 formulate questions that can be addressed with data and then organize, display, and analyze the relevant data to answer their questions.

MA 7.4.1.a: Analyze data sets and interpret their graphical representations

Box-and-Whisker Plots
Correlation
Graphing Skills
Polling: City
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

MA 7.4.1.b: Find and interpret mean, median, mode, and range for 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

MA 7.4.1.c: Explain the difference between a population and a sample

Polling: City

MA 7.4.1.e: Formulate a question about a characteristic within one population that can be answered by simulation or a survey

Polling: Neighborhood

MA 7.4.2: Students will evaluate predictions and make inferences based on data.

MA 7.4.2.a: Determine if data collected from a sample can be used to make predictions about a population

Polling: City
Polling: Neighborhood

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

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

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