1: The student will use number properties and algebraic reasoning to identify, simplify, and solve simple linear equations and inequalities.

1.1: Identify, describe, and analyze functional relationships (linear and nonlinear) between two variables (e.g., as the value of x increases on a table, do the values of y increase or decrease, identify a positive rate of change on a graph and compare it to a negative rate of change).

Arithmetic Sequences
Compound Interest
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Points, Lines, and Equations
Slope-Intercept Form of a Line

1.2: Write and solve two-step equations with one variable using number sense, the properties of operations, and the properties of equality (e.g., -2x + 4 = -2).

Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line
Solving Two-Step Equations

1.3: Model, write, solve, and graph one-step linear inequalities with one variable.

Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Solving Linear Inequalities in One Variable

2: The student will use numbers and number relationships to solve a variety of problems.

2.1: Number Sense

2.1.a: Compare and order positive and negative rational numbers.

Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

2.1.b: Build and recognize models of perfect squares to find their square roots and estimate the square root of other numbers (e.g., the square root of 12 is between 3 and 4).

Square Roots

2.1.c: Demonstrate the concept of ratio and proportion with models (e.g., similar geometric shapes, scale models).

Beam to Moon (Ratios and Proportions)
Part-to-part and Part-to-whole Ratios
Percents and Proportions
Proportions and Common Multipliers

2.2: Number Operations

2.2.a: Solve problems using ratios and proportions.

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)

2.2.b: Solve percent application problems (e.g., discounts, tax, finding the missing value of percent/part/whole).

Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Real-Time Histogram

2.2.c: Simplify numerical expressions with integers, exponents, and parentheses using order of operations.

Order of Operations

3: The student will apply the properties and relationships of plane geometry in a variety of contexts.

3.1: Classify regular and irregular geometric figures including triangles and quadrilaterals according to their sides and angles.

Classifying Quadrilaterals
Special Parallelograms

3.2: Identify and analyze the angle relationships formed by parallel lines cut by a transversal (e.g., alternate interior angles, alternate exterior angles, adjacent, and vertical angles).

Triangle Angle Sum

3.3: Construct geometric figures and identify geometric transformations on the rectangular coordinate plane (e.g., rotations, translations, reflections, magnifications).

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

4: The student will use measurement to solve problems in a variety of contexts.

4.1: Develop and apply the formulas for perimeter and area of triangles and quadrilaterals to solve problems.

Area of Parallelograms
Area of Triangles
Perimeter and Area of Rectangles

4.2: Apply the formula for the circumference and area of a circle to solve problems.

Circumference and Area of Circles

4.3: Find the area and perimeter of composite figures to solve application problems.

Fido's Flower Bed (Perimeter and Area)

5: The student will use data analysis, probability, and statistics to interpret data in a variety of contexts.

5.1: Compare, translate, and interpret between displays of data (e.g., multiple sets of data on the same graph, data from subsets of the same population, combinations of diagrams, tables, charts, and graphs).

Box-and-Whisker Plots
Correlation
Graphing Skills
Stem-and-Leaf Plots

5.2: Determine the probability of an event involving “or”, “and”, or “not” (e.g., on a spinner with one blue, two red and two yellow sections, what is the probability of getting a red or a yellow?).

Independent and Dependent Events
Theoretical and Experimental Probability

5.3: Compute the mean, median, mode, and range for data sets and understand how additional data or outliers in a set may affect the measures of central tendency.

Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots