MA.8.1: Students will: demonstrate understanding of numbers, ways of representing numbers, and relationships among demonstrate meanings of operations and how they relate to one another; and compute fluently and make reasonable estimates through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.

MA.8.1.1: compare and order rational and irrational numbers.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers

MA.8.1.2: utilize the properties of terminating, repeating, and non-repeating decimals, and conversions between fractions, mixed numbers, and decimals.

Improper Fractions and Mixed Numbers

MA.8.1.4: use powers, squares, and square roots to solve problems.

Square Roots

MA.8.1.5: use estimation techniques with whole numbers, decimals, percent, fractions and mixed numbers to solve and verify solutions in application problems.

Estimating Population Size
Estimating Sums and Differences

MA.8.1.6: solve application problems with whole numbers, decimals, fractions, percents and integers including, but not limited to, rates, tips, discounts, sales tax and interest.

Percent of Change
Simple and Compound Interest

MA.8.2: Students will: demonstrate understanding of patterns, relations, and functions; represent and analyze mathematical situations and structures using algebraic symbols; use mathematical models to represent and understand quantitative relationships; and analyze change in various contexts through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.

MA.8.2.1: use order-of-operations and exponents rules to solve problems with numerical and algebraic expressions containing whole numbers, integers, absolute value, fractions and exponents.

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

MA.8.2.2: solve one and two step linear equations and inequalities with integers, fractions, and decimal solutions.

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations

MA.8.2.3: use ratio and proportion to create and solve equations.

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Perimeters and Areas of Similar Figures
Polling: Neighborhood
Similar Figures - Activity A
Similar Polygons
Solving Two-Step Equations

MA.8.2.4: add and subtract polynomials limited to two variables and positive exponents.

Addition of Polynomials - Activity A

MA.8.2.5: apply algebraic equations and expressions to solve application problems.

Using Algebraic Equations
Using Algebraic Expressions

MA.8.2.6: apply inductive and deductive reasoning to write a rule from data in a function table.

Biconditional Statement
Conditional Statement

MA.8.2.7: graph linear equations and inequalities within the Cartesian coordinate plane using ordered pairs table of values and appropriate technology.

Slope-Intercept Form of a Line - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Using Tables, Rules and Graphs

MA.8.2.8: formulate and apply a rule to generate an arithmetic, geometric and algebraic pattern.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences

MA.8.2.9: determine the slope of a line given two-points or slope/y-intercept equation (y=mx+b).

Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

MA.8.3: Students will: analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships; specify locations and describe spatial relationships using coordinate geometry and other representational systems; apply transformations and use symmetry to analyze mathematical situations; and solve problems using visualization, spatial reasoning, and geometric modeling through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.

MA.8.3.1: investigate the relationship between corresponding, alternate interior, and alternate exterior angles when parallel lines are cut by a transversal using models, pencil/paper and graphing calculator.

Investigating Angle Theorems - Activity A
Triangle Angle Sum - Activity A

MA.8.3.3: identify, apply, and construct perpendicular and angle bisectors.

Concurrent Lines, Medians, and Altitudes

MA.8.3.4: create geometric patterns including tiling, art design, tessellations and scaling using transformations (rotations, reflections, translations).

Finding Patterns
Reflections
Rotations, Reflections and Translations
Translations

MA.8.3.5: use coordinate geometry to represent and examine properties of similar and congruent figures and graph transformations.

Constructing Congruent Segments and Angles
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

MA.8.3.6: create scale models including ratio, proportion and similar figures using pencil/paper and dynamic geometry software.

Perimeters and Areas of Similar Figures

MA.8.4: Students will: demonstrate understanding of measurable attributes of objects and the units, systems, and processes of measurement; and apply appropriate techniques, tools and formulas to determine measurements through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.

MA.8.4.1: estimate and solve application problems involving perimeter, area, surface area and volume of plane and solid geometric figures.

Area of Parallelograms - Activity A
Circle: Circumference and Area
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Rectangle: Perimeter and Area

MA.8.4.2: use the concept of volume for cone and pyramids as one-third the product of the area of the base and the height.

Pyramids and Cones - Activity A

MA.8.4.3: solve problems involving missing measurements in plane and solid geometric figures using formulas and drawings including irregular figures, models or definitions.

Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

MA.8.4.4: solve right triangle problems using the Pythagorean Theorem, indirect measurement and definitions.

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

MA.8.5: Students will: formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them; select and use appropriate statistical methods to analyze data; develop and evaluate inferences and predictions that are based on models; and apply and demonstrate an understanding of basic concepts of probability through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.

MA.8.5.1: use appropriate technology to solve application problems involving combinations and permutations.

Permutations
Permutations and Combinations

MA.8.5.2: investigate the experimental and theoretical probability, including compound probability of an event.

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

MA.8.5.3: create and extrapolate information from multiple-bar graphs, box and whisker plots, and other data displays using appropriate technology.

Box-and-Whisker Plots