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 2-step linear equations using a variety of methods.

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Two-Step Equations

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

Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line

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

Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Solving Equations By Graphing Each Side
Standard Form of a Line

1.2: Inequalities

1.2.a: Model, write, and solve 1-step and 2-step linear inequalities with one variable.

Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

1.2.b: Graph the solution to linear inequalities with one variable on a number line.

Inequalities Involving Absolute Values
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

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

2.1: Rational Numbers and Proportional Reasoning

2.1.a: Compare and order rational numbers (positive and negative integers, fractions, decimals) in real-life situations.

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
Real Number Line - Activity A

2.1.b: Use the basic operations on rational numbers to solve problems in real-life situations (e.g., describe the effect of multiplying whole numbers by a fraction or a decimal less than 1).

Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

2.1.c: Apply ratios and proportions to solve problems.

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Part:Part and Part:Whole Ratios
Polling: Neighborhood
Proportions and Common Multipliers

2.2: Exponents

2.2.c: Use estimation strategies (e.g., rounding) to describe the magnitude of large numbers and numbers less than one.

Estimating Population Size
Estimating Sums and Differences

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 (e.g., draw a figure that could result from making 1, 2, or 3 cuts in a given solid).

Classifying Quadrilaterals - Activity A
Parallelogram Conditions
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Special Quadrilaterals
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

3.2: Develop the Pythagorean Theorem and apply the formula to find the length of missing sides of a right triangle and the length of other line segments.

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

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

4.1: Estimate and find the surface area and volume in real world settings (e.g., unwrap a box to explore surface area; use rice, 1-inch cubes, centimeter cubes, cups . . . to estimate the volume of boxes, irregular shaped objects, containers).

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

4.2: Apply knowledge of ratio and proportion to solve relationships between similar geometric figures (e.g., build a model of a 3-dimensional object to scale).

Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

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

5.1: Select and apply appropriate formats (e.g., line plots, bar graphs, stem-and-leaf plots, scatter plots, histograms, circle graphs) to display collected data.

Correlation
Histograms
Populations and Samples
Scatter Plots - Activity A
Solving Using Trend Lines
Stem-and-Leaf Plots

5.2: Measures of Central Tendency

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

Describing Data Using Statistics
Line Plots
Mean, Median and Mode

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

Describing Data Using Statistics
Line Plots
Mean, Median and Mode

5.3: 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: Neighborhood