MA 8.1: Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 8.1.1: Students will represent and show relationships among real numbers.

MA 8.1.1.a: Compare and order real numbers

Comparing and Ordering Decimals
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

MA 8.1.1.c: Represent small numbers using scientific notation

Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits

MA 8.1.1.d: Classify numbers as natural, whole, integer, rational, irrational, or real

Rational Numbers, Opposites, and Absolute Values

MA 8.1.2: Students will demonstrate the meaning of arithmetic operations with integers.

MA 8.1.2.a: Use drawings, words, and symbols to explain the meaning of addition, subtraction, multiplication, and division of integers.

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

MA 8.1.3: Students will compute fluently and accurately using appropriate strategies and tools.

MA 8.1.3.a: Compute accurately with rational numbers

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

MA 8.1.3.b: Evaluate expressions involving absolute value of integers

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions

MA 8.1.3.c: Calculate squares of integers, the square roots of perfect squares, and the square roots of whole numbers using technology

Square Roots

MA 8.1.3.d: Select, apply, and explain the method of computation when problem solving using 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
Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Improper Fractions and Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

MA 8.1.3.e: Solve problems involving ratios and proportions (e.g., x/5 = 10/17)

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
Road Trip (Problem Solving)

MA 8.1.4: Students will estimate and check reasonableness of answers using appropriate strategies and tools.

MA 8.1.4.a: Use estimation methods to check the reasonableness of solutions for problems involving rational numbers

Estimating Sums and Differences

MA 8.2: Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 8.2.1: Students will describe, compare, and contrast characteristics, properties, and relationships of geometric shapes and objects.

MA 8.2.1.c: Identify geometric properties of parallel lines cut by a transversal and related angles (e.g., perpendicular and parallel lines with transversals) and angles (e.g., corresponding, alternate interior, alternate exterior)

Triangle Angle Sum

MA 8.2.1.d: Identify pairs of angles (e.g., adjacent, complementary, supplementary, vertical)

Investigating Angle Theorems
Triangle Angle Sum

MA 8.2.1.e: Examine the relationships of the interior angles of a triangle (e.g., the sum of the angles is 180 degrees)

Polygon Angle Sum
Triangle Angle Sum

MA 8.2.3: Students will perform transformations and use them to analyze the orientation and size of geometric shapes.

MA 8.2.3.a: Identify the similarity of dilated shapes

Circles
Dilations
Similar Figures

MA 8.2.3.b: Perform and describe positions and sizes of shapes under dilations (e.g., scale factor, ratios)

Dilations
Similar Figures

MA 8.2.5: Students will select and apply appropriate procedures, tools, and formulas to determine measurements.

MA 8.2.5.a: Use strategies to find the perimeter and area of complex shapes

Area of Parallelograms
Area of Triangles
Chocomatic (Multiplication, Arrays, and Area)
Perimeter and Area of Rectangles
Perimeters and Areas of Similar Figures

MA 8.2.5.b: Determine surface area and volume of three-dimensional objects (e.g., rectangular prisms, cylinders)

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

MA 8.2.5.c: Apply the Pythagorean theorem to find missing lengths in right triangles and to solve problems

Pythagorean Theorem
Pythagorean Theorem with a Geoboard

MA 8.2.5.d: Use scale factors to find missing lengths in similar shapes

Perimeters and Areas of Similar Figures
Similar Figures

MA 8.2.5.e: Convert between metric and standard units of measurement, given conversion factors (e.g., meters to yards)

Unit Conversions

MA 8.3: Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 8.3.1: Students will represent and analyze relationships using algebraic symbols.

MA 8.3.1.b: Describe relationships using algebraic expressions, equations, and inequalities (e.g., two-step, one variable)

Absolute Value Equations and Inequalities
Circles
Compound Inequalities
Compound Interest
Linear Functions
Linear Inequalities in Two Variables
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Point-Slope Form of a Line
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Solving Linear Inequalities in One Variable
Solving Two-Step Equations
Standard Form of a Line
Using Algebraic Equations
Using Algebraic Expressions

MA 8.3.1.c: Identify constant slope from tables and graphs

Cat and Mouse (Modeling with Linear Systems)
Direct and Inverse Variation
Slope-Intercept Form of a Line

MA 8.3.2: Students will create, use, and interpret models of quantitative relationships.

MA 8.3.2.a: Model contextualized problems using various representations (e.g., two-step/one variable equations)

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

MA 8.3.2.b: Represent a variety of quantitative relationships using algebraic expressions and two-step/one variable equations

Absolute Value Equations and Inequalities
Compound Interest
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Solving Two-Step Equations
Using Algebraic Equations
Using Algebraic Expressions

MA 8.3.3: Students will apply properties to solve equations and inequalities.

MA 8.3.3.b: Evaluate numerical expressions containing whole number exponents (e.g., if x = 4, then (x + 3)² + 5x = ?)

Order of Operations

MA 8.3.3.c: Solve multi-step equations involving rational numbers

Solving Algebraic Equations II

MA 8.3.3.e: Identify and explain the properties used in solving two-step inequalities and multi-step equations

Solving Algebraic Equations II
Solving Two-Step Equations

MA 8.4: Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 8.4.1: Students will formulate questions that can be addressed with data, and then organize, display, and analyze the relevant data to answer their questions.

MA 8.4.1.a: Represent data using circle graphs and box plots with and without the use of technology

Box-and-Whisker Plots
Distance-Time Graphs
Stem-and-Leaf Plots

MA 8.4.1.b: Compare characteristics between sets of data or within a given set of data

Movie Reviewer (Mean and Median)

MA 8.4.1.c: Find, interpret, and compare measures of central tendency (mean, median, mode) and the quartiles 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)
Sight vs. Sound Reactions
Stem-and-Leaf Plots

MA 8.4.1.d: Select the most appropriate unit of central tendency for sets of data

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Stem-and-Leaf Plots

MA 8.4.2: Students will evaluate predictions and make inferences based on data.

MA 8.4.2.a: Evaluate predictions to formulate new questions and plan new studies

Correlation

MA 8.4.3: Students will apply and interpret basic concepts of probability.

MA 8.4.3.b: Compute probabilities for independent compound events

Independent and Dependent Events