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 demonstrate, represent, and show relationships among real numbers within the base-ten number system.

MA 8.1.1.b: Represent numbers with positive and negative exponents and in scientific notation.

Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits

MA 8.1.1.d: Approximate, compare, and order real numbers (both rational and irrational) and order real numbers both off and on the number line.

Circumference and Area of Circles
Comparing and Ordering Decimals
Estimating Sums and Differences
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

MA 8.1.2: Students will compute with exponents and roots.

MA 8.1.2.a: Evaluate the square roots of perfect squares less than or equal to 400 and cube roots of perfect cubes less than or equal to 125.

Operations with Radical Expressions
Simplifying Radical Expressions
Square Roots

MA 8.1.2.b: Simplify numerical expressions involving exponents and roots (e.g., 4(-2) is the same as 1/16).

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
Order of Operations

MA 8.1.2.d: Multiply and divide numbers using scientific notation.

Unit Conversions

MA 8.1.2.e: Estimate and check reasonableness of answers using appropriate strategies and tools.

Square Roots

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

MA 8.2.1: Students will demonstrate, represent, and show relationships with expressions, equations, and inequalities.

MA 8.2.1.a: Create algebraic expressions, equations, and inequalities (e.g., two-step, one variable) from word phrases, tables, and pictures.

Improper Fractions and Mixed Numbers
Multiplying with Decimals
Points, Lines, and Equations
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

MA 8.2.1.b: Determine and describe the rate of change for given situations through the use of tables and graphs.

Cat and Mouse (Modeling with Linear Systems)
Point-Slope Form of a Line
Slope

MA 8.2.1.c: Describe equations and linear graphs as having one solution, no solution, or infinitely many solutions.

Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

MA 8.2.1.d: Graph proportional relationships and interpret the slope.

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

MA 8.2.2: Students will apply the operational properties when evaluating expressions and solving expressions, equations, and inequalities.

MA 8.2.2.a: Solve multi-step equations involving rational numbers with the same variable appearing on both sides of the equal sign.

Solving Algebraic Equations II

MA 8.2.2.b: Solve two-step inequalities involving rational numbers and represent solutions on a number line.

Absolute Value Equations and Inequalities

MA 8.2.3: Students will solve real-world problems involving multi-step equations and multi-step inequalities.

MA 8.2.3.a: Describe and write equations from words, patterns, and tables.

Function Machines 2 (Functions, Tables, and Graphs)
Geometric Sequences
Introduction to Functions
Linear Functions
Points, Lines, and Equations
Solving Equations on the Number Line
Using Algebraic Equations

MA 8.2.3.c: Solve real-world multi-step problems involving rational numbers in any form.

Estimating Population Size

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

MA 8.3.1: Students will identify and describe geometric characteristics of two- dimensional shapes.

MA 8.3.1.a: Determine and use the relationships of the interior angles of a triangle to solve for missing measures.

Polygon Angle Sum
Triangle Angle Sum

MA 8.3.1.b: Identify and apply geometric properties of parallel lines cut by a transversal and the resulting corresponding, alternate interior, and alternate exterior angles to find missing measures.

Triangle Angle Sum

MA 8.3.2: Students will determine location, orientation, and relationships on the coordinate plane.

MA 8.3.2.a: Perform and describe positions and orientation of shapes under single transformations including rotations (in multiples of 90 degrees about the origin), translations, reflections, and dilations on and off the coordinate plane.

Dilations
Rock Art (Transformations)
Rotations, Reflections, and Translations
Translations

MA 8.3.2.b: Find congruent two-dimensional figures and define congruence in terms of a series of transformations.

Dilations
Reflections
Rock Art (Transformations)
Rotations, Reflections, and Translations
Translations

MA 8.3.2.c: Find similar two-dimensional figures and define similarity in terms of a series of transformations.

Circles
Dilations
Similar Figures

MA 8.3.3: Students will perform and compare measurements and apply formulas.

MA 8.3.3.a: Explain a model of the Pythagorean Theorem.

Circles
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Surface and Lateral Areas of Pyramids and Cones

MA 8.3.3.b: Apply the Pythagorean Theorem to find side lengths of triangles and to solve real-world problems.

Circles
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Surface and Lateral Areas of Pyramids and Cones

MA 8.3.3.c: Find the distance between any two points on the coordinate plane using the Pythagorean Theorem.

Circles
Distance Formula

MA 8.3.3.d: Determine the volume of cones, cylinders, and spheres, and solve real-world problems using volumes.

Prisms and Cylinders
Pyramids and Cones

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 create displays that represent data.

MA 8.4.1.a: Represent bivariate data (i.e. ordered pairs) using scatter plots.

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

MA 8.4.2: Students will analyze data to address the situation.

MA 8.4.2.a: Solve problems and make predictions using an approximate line of best fit.

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots