1: Use various strategies and operations to solve problems involving real numbers.

1.1: Using alternative representations of rational numbers

Improper Fractions and Mixed Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents, Fractions and Decimals

1.2: Applying GCF, LCM, and prime and composite numbers, including justification for the reasonableness of results, when working with rational numbers

Finding Factors with Area Models

1.3: Applying proportional reasoning

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Proportions and Common Multipliers
Similar Figures - Activity A
Similar Polygons

1.6: Demonstrating computational fluency with operations on rational numbers

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

3: Use order of operations to evaluate and simplify algebraic expressions.

3.2: Applying the properties of operations on rational numbers to evaluate and simplify algebraic expressions

Dividing Fractions
Dividing Mixed Numbers
Exponents and Power Rules
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Order of Operations
Sums and Differences with Decimals

4: Graph linear relations by plotting points or by using the slope and y-intercept.

4.1: Determining slopes and y-intercepts of lines

Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

4.2: Calculating the slope of a linear relation given as a table or graph

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

4.3: Exhibiting conceptual understanding of various uses of variables

Using Algebraic Equations

5: Solve problems involving linear functions.

5.1: Identifying functions from information in tables, sets of ordered pairs, equations, graphs, and mappings

Introduction to Functions
Linear Functions
Using Tables, Rules and Graphs

5.2: Determining the rule that defines a function

Linear Functions

5.3: Classifying variables in a function as independent or dependent

Introduction to Functions

5.4: Classifying relations as linear or nonlinear by examining tables, graphs, or simple equations

Introduction to Functions
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Equations By Graphing Each Side
Using Tables, Rules and Graphs

6: Solve multistep linear equations, including equations requiring the use of the distributive property.

Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Two-Step Equations

7: Solve problems using the Pythagorean Theorem.

7.1: Applying the Triangle Inequality Theorem

Triangle Inequalities

7.2: Verifying the Pythagorean Theorem

Biconditional Statement
Conditional Statement
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

7.3: Applying the Pythagorean Theorem to determine if a triangle is a right triangle

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

7.4: Applying the Pythagorean Theorem to find the missing length of a side of a right triangle

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

7.5: Calculating distances on the coordinate plane using the Pythagorean Theorem

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

8: Compare quadrilaterals, triangles, and solids, using their properties and characteristics.

8.1: Developing mathematical arguments about the relationships among types of quadrilaterals and triangles

Classifying Quadrilaterals - Activity A
Classifying Triangles

8.2: Identifying angle bisectors, perpendicular bisectors, congruent angles, and congruent figures

Concurrent Lines, Medians, and Altitudes
Congruence in Right Triangles
Constructing Congruent Segments and Angles
Proving Triangles Congruent

8.3: Constructing congruent and similar polygons, congruent angles, congruent segments, and parallel and perpendicular lines

Construct Parallel and Perpendicular Lines
Constructing Congruent Segments and Angles
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

9: Determine the measures of special angle pairs, including adjacent, vertical, supplementary, and complementary angles, and angles formed by parallel lines cut by a transversal.

Investigating Angle Theorems - Activity A

10: Find the perimeter and area of regular and irregular plane figures.

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

11: Determine the surface area and volume of rectangular prisms, cylinders, and pyramids.

11.1: Estimating surface area and volume of solid figures

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

11.2: Determining the appropriate units of measure to describe surface area and volume

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

11.3: Developing formulas for determining surface area and volume of rectangular prisms, cylinders, 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

12: Determine the lengths of missing sides and measures of angles in similar and congruent figures.

12.1: Applying proportional reasoning

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

12.2: Using dilations on the coordinate plane to determine measures of similar figures

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

12.3: Finding the ratios of the perimeters and areas of similar triangles, trapezoids, and parallelograms

Perimeter, Circumference, and Area - Activity B
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

13: Interpret data from populations, using given and collected data.

13.1: Representing the data with the most appropriate graph, including box-and-whisker plot, circle graph, and scatterplot

Box-and-Whisker Plots
Scatter Plots - Activity A

13.2: Making predictions by estimating the line of best fit from a scatterplot

Correlation
Lines of Best Fit Using Least Squares - Activity A
Scatter Plots - Activity A
Solving Using Trend Lines

13.3: Comparing data sets involving two populations

Populations and Samples

13.4: Determining the measure of center that is the most appropriate for a given situation

Describing Data Using Statistics
Line Plots
Mean, Median and Mode

14: Determine the theoretical probability of an event.

14.2: Comparing experimental and theoretical probability

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Polling: City
Probability Simulations
Theoretical and Experimental Probability

14.3: Computing the probability of two independent events and two dependent events

Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events

14.4: Determining the probability of an event through simulation

Geometric Probability - Activity A
Probability Simulations