1: The student will graph and solve linear equations and inequalities in problem solving situations.

1.1: Equations

1.1.a: Model, write, and solve multi-step linear equations with one variable using a variety of methods to solve application problems.

Solving Equations by Graphing Each Side
Solving Two-Step Equations

1.1.b: Graph and interpret the solution to one- and two-step linear equations on a number line with one variable and on a coordinate plane with two variables.

Point-Slope Form of a Line
Solving Equations on the Number Line

1.1.c: Predict the effect on the graph of a linear equation when the slope or y-intercept changes (e.g., make predictions from graphs, identify the slope or y-intercept in the equation y = mx + b and relate to a graph).

Points, Lines, and Equations
Slope-Intercept Form of a Line
Solving Equations by Graphing Each Side

1.1.d: Apply appropriate formulas to solve problems (e.g., d=rt, I=prt).

Cat and Mouse (Modeling with Linear Systems)
Compound Interest
Earthquakes 1 - Recording Station
Road Trip (Problem Solving)

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

Absolute Value Equations and Inequalities
Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Solving Linear Inequalities in One Variable
Systems of Linear Inequalities (Slope-intercept form)

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

2.2: Number Operations

2.2.a: Use the rules of exponents, including integer exponents, to solve problems (e.g., 7² · 7³ = 7 to the 5th power, 3 to the -10th · 3 to the 8th power = 3-²).

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

2.2.b: Solve problems using scientific notation.

Unit Conversions

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

Order of Operations

3: The student will use geometric properties to solve problems in a variety of contexts.

3.1: Construct models, sketch (from different perspectives), and classify solid figures such as rectangular solids, prisms, cones, cylinders, pyramids, and combined forms.

Pyramids and Cones
Surface and Lateral Areas of Pyramids and Cones

3.2: Develop the Pythagorean Theorem and apply the formula to find the length of line segments, the shortest distance between two points on a graph, and the length of an unknown side of a right triangle.

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

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

4.1: Develop and apply formulas to find the surface area and volume of rectangular prisms, triangular prisms, and cylinders (in terms of pi).

Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders

4.2: Apply knowledge of ratio and proportion to solve relationships between similar geometric figures.

Similar Figures

4.3: Find the area of a “region of a region” for simple composite figures and the area of cross sections of regular geometric solids (e.g., area of a rectangular picture frame).

Area of Triangles

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

5.1: Select, analyze and apply data displays in appropriate formats to draw conclusions and solve problems.

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

5.2: Determine how samples are chosen (random, limited, biased) to draw and support conclusions about generalizing a sample to a population (e.g., is the average height of a men’s college basketball team a good representative sample for height predictions?).

Polling: City
Polling: Neighborhood

5.3: Find the measures of central tendency (mean, median, mode, and range) of a set of data and understand why a specific measure provides the most useful information in a given context.

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