1-1: Relate Integers and Their Opposites

• Understand how integers and their opposites are related

1-2: Understand Rational Numbers

• Identify rational numbers and write them in decimal form

1-3: Add Integers

• Add positive and negative integers.
• Model integer addition in real-life applications.

1-4: Subtract Integers

• Understand subtraction of integers as adding the additive inverse, p - q = p + (-q)

1-5: Add and Subtract Rational Numbers

• Use properties of operations to add and subtract rational numbers.

1-6: Multiply Integers

• Multiply positive and negative integers.
• Apply integer multiplication to real-life applications.

1-7: Multiply Rational Numbers

• Find the product of rational numbers

1-8: Divide Integers

• Understand how to divide integers by applying the rules of multiplying integers.
• Determine equivalencies among integer quotients.

1-9: Divide Rational Numbers

• Understand how the signs of integers in a multiplication sentence relate to the signs in a related division sentence.

1-10: Solve problems with Rational Numbers

• Decide which operations to use to solve problems.
• Use precision when solving problems with rational numbers.

2-1: Connect Ratios, Rates, and Unit Rates

• Use ratios and rates to describe the relationship between two quantities.
• Find equivalent ratios and use unit rates to solve multi-step problems.

2-2: Determine Unit Rates with Ratios of Fractions

• Find unit rates with ratios of fractions
• Use unit rates to solve multi-step problems.

2-3: Understand Proportional Relationships: Equivalent Ratios

• Determine whether quantities are proportional by testing for equivalent ratios.

2-4: Describe Proportional Relationships: Constant of Proportionality

• Use the constant of proportionality to write equations that represent proportional relationships
• Use equations to solve problems involving proportional relationships.

2-5: Graph Proportional Relationships

• Use a graph to recognize proportionality
• Identify a constant of proportionality from a graph
• Interpret a point on a graph of a proportional relationship

2-6: Apply Proportional Reasoning to Solve Problems

• Explain whether a situation represents a proportional relationship.

3-1: Analyze Percent of Number

• Understand that equivalent rates can be used to find percents.
• Analyze percents of numbers in a real-world context

3-2: Connect Percent and Proportion

• Construct a percent proportion
• Use a percent proportion to find an unknown part, whole, or percent.

3-3: Represent and Use the Percent Equation

• Understand the relationship between proportional reasoning and percent.
• Interpret the results of a percent equation in a real-life scenario.

3-4: Solve Percent Change and Percent Error Problems

• Solve real-world problems involving percent change and percent error
• Understand the percent equation and the different ways it can be used

3-5: Solve Markup and Markdown Problems

• Understand and calculate markups and markdowns
• Relate percent change to percent markup and percent markdown

3-6: Solve Simple Interest Problems

• Identify the parts of interest problems and how the values are related
• Understand what simple interest is and how it is calculated

4-1: Write and Evaluate algebraic Expressions

• Understand how variables are used to represent unknown values in problems

4-2: Generate Equivalent Expressions

• Recognize when two expressions are equivalent
• Use properties of operations to write equivalent expressions

4-3: Simplify Expressions

• Combine like integer and rational terms

4-4: Expand Expressions

• Use the Distributive Property to expand expressions

4-5: Factor Expressions

• Understand expanding an expressions is the reverse of factoring
• Identify the GCF of an algebraic terms in expressions

4-6: Add Expressions

• Use Properties of operations to add expressions
• Model addition of expressions in real-life applications

4-7: Subtract Expressions

• Use Properties of operations to subtract expressions
• Model subtraction of expressions in real-life applications

4-8: Analyze Equivalent Expressions

• Write equivalent expressions to show how quantities are related in real-life applications

5-1: Write Two-Step Equations

• Analyze word problems to write two-step equations
• Understand the relationship between the terms of the equation and the values they represent

5-2: Solve Two-Step Equations

• Use models to solve two-step equations
• Compare algebraic and arithmetic solutions

5-3: Solve Equations Using the Distributive Property

• Solve equations using the Distributive Property

5-4: Solve Inequalities Using Addition or Subtraction

• Graph the solution of inequalities on a number line
• Solve inequalities using the Addition and Subtraction Properties of Inequality

5-5: Solve Inequalities Using Multiplication of Division

• Write inequalities and solve them using Multiplication and Division Properties in Inequality
• Graph the solutions of an inequality on a number line.

5-6: Solve Two-Step Inequalities

• Write and solve two-step inequality to solve a problem.
• Solve an inequality by multiplying or dividing a negative rational number.

5-7: Solve Multi-Step Inequalities

• Explore the relationship between two-step inequalities and multi-step inequalities.
• Apply the distributive property to simplify and solve multi-step inequalities

6-1: Populations and Samples

• Distinguish between a population and a sample
• Establish whether a sample is representative of a population
• Generate random samples

6-2: Draw Inferences From Data

• make qualitative inferences from a sample data set
• Make quantitative inferences from a sample data set.
• Make estimates about a population based on a sample data set, and assess whether the inferences are valid.

6-3: Make Comparative Inferences About Populations

• Use box-plots to compare and make inferences about populations
• Use the median and IQR of datasets to informally compare and make inferences about two populations

6-4: Make More Comparative Inferences About Populations

• Use mode, range, mean, and mean absolute deviation (MAD) to compare populations

7-1: Understand Likelihood and Probability

• Use Probability to describe the likelihood that an event will occur
• Relate Probability  to mathematical fairness

7-2: Understand Theoretical Probability

• Understand Theoretical Probability and how it can be used.
• Use theoretical probability to predict an outcome

7-3: Understand Experimental Probability

• Compare theoretical and experimental probability
• Use experimental probability to make predictions
• explain differences between theoretical and experimental probability.

7-4: Use Probability Models

• Develop a probability model
• Use a probability model to evaluate a situation
• Use a probability model to make an estimate

7-5: Determine Outcomes of Compound Events

• Use a tree diagram, a table, or an organized list to represent a sample space for a compound event

7-6: Find Probability of Compound Events

• Organize information about a compound event on a table, a tree diagram, or an organized list
• Find the probability of a compound event

7-7: Simulate Compound Events

• Use different tools to simulate a compound event
• Model a real-world situation involving a compound event and predict its outcome using a simulation

8-1: Solve Problems Involving Scale Drawings

• Use a scale drawing as a representational of actual lengths and area.

8-2: Draw Geometric Figures

• Sketch quadrilaterals with given conditions
• Name and Classify quadrilaterals according to their properties

8-3: Draw Triangles with Given Conditions

• Construct Triangles with given conditions
• Conclude whether or not a triangle is formed and what type of triangle it is.

8-4: Solve Problems Using Angle Relationships

• Calculate the measures of angles by using angle relationships

8-5: Solve Problems Involving Circumference of a Circle

• Calculate the circumference, radius, or diameter of a circle
• Recognize the relationship between the circumference and the diameter of a circle and pi.

8-6: Solve Problems Involving Area of a Circle

• Find the area of a circle
• Use the area to find the radius and diameter
• Solve Problems involving the area of circle

8-7: Describe Cross Sections

• Describe cross sections of right rectangular prisms and pyramids
• solve problems involving cross sections

8-8: Solve Problems Involving Surface Area

• Find the surface area of two-dimensional composite shapes.
• Find the surface area of three-dimensional composite shapes

8-9: Solve Problems Involving Volume

• Calculate the volume of various three-dimensional figures
• Solve problems involving the volume of three-dimensional figures