8.1: The student will

8.1.a: simplify numerical expressions involving positive exponents, using rational numbers, order of operations, and properties of operations with real numbers;

Order of Operations

8.1.c: compare and order decimals, fractions, percents, and numbers written in scientific notation.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1

8.3: The student will solve practical problems involving rational numbers, percents, ratios, and proportions. Problems will be of varying complexities and will involve real-life data, such as finding a discount and discount prices and balancing a checkbook.

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Part:Part and Part:Whole Ratios
Percent of Change
Percents and Proportions
Polling: Neighborhood
Proportions and Common Multipliers
Simple and Compound Interest

8.5: The student, given a whole number from 0 to 100, will identify it as a perfect square or find the two consecutive whole numbers between which the square root lies.

Square Roots

8.6: The student will verify by measuring and describe the relationships among vertical angles, supplementary angles, and complementary angles and will measure and draw angles of less than 360°.

Investigating Angle Theorems - Activity A

8.7: The student will investigate and solve practical problems involving volume and surface area of rectangular solids (prisms), cylinders, cones, and pyramids.

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

8.8: The student will apply transformations (rotate or turn, reflect or flip, translate or slide, and dilate or scale) to geometric figures represented on graph paper. The student will identify applications of transformations, such as tiling, fabric design, art, and scaling.

Dilations
Reflections
Rotations, Reflections and Translations
Translations

8.9: The student will construct a three-dimensional model, given the top, side, and/or bottom views.

3D and Orthographic Views - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

8.10: The student will

8.10.a: verify the Pythagorean Theorem, using diagrams, concrete materials, and measurement;

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

8.10.b: apply the Pythagorean Theorem to find the missing length of a side of a right triangle when given the lengths of the other two sides.

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

8.11: The student will analyze problem situations, including games of chance, board games, or grading scales, and make predictions, using knowledge of probability.

Geometric Probability - Activity A

8.12: The student will make comparisons, predictions, and inferences, using information displayed in frequency distributions; box-and-whisker plots; scattergrams; line, bar, circle, and picture graphs; and histograms.

Box-and-Whisker Plots
Histograms
Populations and Samples
Scatter Plots - Activity A

8.14: The student will

8.14.a: describe and represent relations and functions, using tables, graphs, and rules;

Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Introduction to Functions
Linear Functions
Polynomials and Linear Factors
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Slope-Intercept Form of a Line - Activity A
Using Algebraic Equations
Using Tables, Rules and Graphs

8.14.b: relate and compare tables, graphs, and rules as different forms of representation for relationships.

Exponential Functions - Activity A
Introduction to Functions
Linear Functions
Slope-Intercept Form of a Line - Activity A
Using Algebraic Equations
Using Tables, Rules and Graphs

8.15: The student will solve two-step equations and inequalities in one variable, using concrete materials, pictorial representations, and paper and pencil.

Modeling and Solving Two-Step Equations
Solving Two-Step Equations

8.16: The student will graph a linear equation in two variables, in the coordinate plane, using a table of ordered pairs.

Defining a Line with Two Points
Introduction to Functions
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs

8.17: The student will create and solve problems, using proportions, formulas, and functions.

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Linear Functions

8.18: The student will use the following algebraic terms appropriately: domain, range, independent variable, and dependent variable.

Introduction to Functions