• Unit 1: Using Integers and Rational Numbers

    • 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.

    Unit 2: Analyze and Use Proportional Relationships

    • 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.

    Unit 3: Analyze and Solve Percent Problems

    • 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

    Unit 4: Generate Equivalent Expressions

    • 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

    Unit 5: Solve Problems Using Equations and Inequalities

    • 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

    Unit 6: Use Sampling to Draw Inferences About Populations

    • 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

    Unit 7: Probability

    • 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

    Unit 8: Solve Problems Involving Geometry

    • 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

    Unit 9: Personal Financial Literacy

    • 9.1 - Personal Budgets

      • Identify components of a budget
      • Determine the difference between fixed and variable expenses

       

      9.2 - Minimum Household Budgets

      • Identify necessary expenses and the amount of money needed to cover expenses

       

      9.3 - Sales Tax

      • Calculate sales tax on various items
      • Determine the difference between taxable and non-taxable items

       

      9.4 - Income Tax

      • Calculate income tax
      • Discuss the types of income tax
      • Observe the impact of taxes on a paycheck

       

      9.5 - Calculating Interest

      • Calculate simple interest
      • Calculate compound interest
      • Understand interest is earned over a period of time

       

      9.6 - Comparing Simple and Compound Interest

      • Determine how time and interest rates can affect the amount of interest earned

       

      9.7 - Net Worth

      • Compare and identify assets vs. liabilities
      • Use assets and liabilities to determine net worth

       

      9.8 - Monetary Incentives

      • Identify and understand monetary incentives used by retailers to obtain consumers purchases. 
      • identify the advantages and disadvantages of different monetary incentives