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