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)

 Constructing Congruent Segments and Angles
 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
 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 Two-Step Equations
 Standard Form of a Line
 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

Correlation last revised: 1/20/2017

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