1: Demonstrate computational fluency with addition, subtraction, and multiplication of integers.

1.1: Developing algorithms for performing operations on integers

Adding and Subtracting Integers with Chips

2: Use order of operations to evaluate numerical expressions.

2.1: Computing absolute values

Comparing and Ordering Integers
Real Number Line - Activity A

2.4: Applying properties of operations to compute with integers, fractions, and decimals

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

3: Solve problems requiring the use of operations on rational numbers.

3.1: Describing the method used

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

3.3: Using percents to solve problems, including problems involving discounts, taxes, commissions, and simple interest

Percent of Change
Percents and Proportions
Simple and Compound Interest

4: Express a pattern shown in a table, graph, or chart as an algebraic equation.

4.1: Recognizing the relationships between numerical patterns in tables and their respective graphs in the coordinate plane

Arithmetic Sequences
Arithmetic and Geometric Sequences
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Finding Patterns
Geometric Sequences
Introduction to Functions
Linear Functions
Quadratic and Absolute Value Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

4.2: Determining if a constant rate of change exists in a pattern

Arithmetic Sequences
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A

5: Translate verbal phrases into algebraic expressions and algebraic expressions into verbal phrases.

5.1: Exhibiting understanding of a variable as an unknown quantity

Using Algebraic Equations

6: Solve one-and two-step equations.

6.1: Solving inequalities in one variable

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

6.2: Graphing solution sets of inequalities on a number line

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

6.3: Recognizing properties of equality

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Formulas for any Variable
Solving Two-Step Equations

7: Determine the transformation(s), including translations, reflections, or rotations, used to alter the position of a polygon on the coordinate plane.

7.1: Determining the type of symmetry (rotational or line) found in a reflection or rotation

Holiday Snowflake Designer
Reflections
Rotations, Reflections and Translations

7.2: Graphing transformations of quadrilaterals on the Cartesian plane by plotting the vertices

Classifying Quadrilaterals - Activity A
Dilations
Reflections
Rotations, Reflections and Translations

7.3: Graphing figures which are similar to other figures using dilations

Dilations
Similar Figures - Activity A

8: Recognize geometric relationships among two-dimensional and three-dimensional objects.

8.1: Drawing geometric figures when given specified components, including base and height

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

8.2: Investigating properties and relationships among congruent figures

Constructing Congruent Segments and Angles

9: Solve problems involving circumference and area of circles.

9.1: Estimating circumference, diameter, and area

Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B

9.2: Determining appropriate units of measure to describe circumference, diameter, and area

Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B

9.3: Measuring circumference and diameter using customary and metric units

Circle: Circumference and Area

9.4: Using circumference and diameter to approximate the value of pi

Circle: Circumference and Area

9.6: Developing formulas for determining circumference and area

Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B

10: Find the perimeter of polygons and the area of triangles and trapezoids.

10.1: Developing formulas for determining perimeter and area of triangles and trapezoids

Area of Parallelograms - Activity A
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area

11: Solve problems involving ratios or rates, using proportional reasoning.

11.2: Converting rates from one unit to another

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs

12: Determine measures of central tendency (mean, median, and mode) and the range using a given set of data or graphs, including histograms, frequency tables, and stem-and-leaf plots.

12.1: Creating histograms

Histograms
Populations and Samples

13: Determine the probability of a compound event.

13.1: Representing outcomes as a list, chart, picture, or tree diagram

Histograms
Permutations and Combinations

13.3: Modeling the probability of events through simulations with random numbers

Geometric Probability - Activity A
Probability Simulations