Write one-variable, two-step equations and inequalities to represent constraints or conditions within problems.
Represent solutions for one-variable, two-step equations and inequalities on number lines.
Write a corresponding real-world problem given a one-variable, two-step equation or inequality.
Model and solve one-variable, two-step equations and inequalities.
Determine if the given value(s) make(s) one-variable, two-step equations and inequalities true.
Write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships.
The student applies mathematical process standards to represent linear relationships using multiple representations. The student is expected to represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b.
Model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas.
Explain verbally and symbolically the relationship between the volume of a triangular prism and a triangular pyramid having both congruent bases and heights and connect that relationship to the formulas.
Use models to determine the approximate formulas for the circumference and area of a circle and connect the models to the actual formulas.
Solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids.
Determine the circumference and area of circles.
Determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles.
Solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net.
Compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads.
Use data from a random sample to make inferences about a population.
Compare two populations based on data in random samples from these populations, including informal comparative inferences about differences between the two populations.
Calculate the sales tax for a given purchase and calculate income tax for earned wages.
Identify the components of a personal budget, including income; planned savings for college, retirement, and emergencies; taxes; and fixed and variable expenses, and calculate what percentage each category comprises of the total budget.
Create and organize a financial assets and liabilities record and construct a net worth statement.
Use a family budget estimator to determine the minimum household budget and average hourly wage needed for a family to meet its basic needs in the student's city or another large city nearby.
Calculate and compare simple interest and compound interest earnings.
Analyze and compare monetary incentives, including sales, rebates, and coupons.
Apply mathematics to problems arising in everyday life, society, and the workplace.
Area and Perimeter
Divide Fractions and Mixed Numbers Up to 1/16
Divide Fractions and Mixed Numbers Up to 1/16, 1/32
Divide Fractions and Mixed Numbers Up to 1/32
Equivalent Ratios
Divide Decimals by Whole Numbers
Add and Subtract Decimals
Multiply Decimals and Whole Numbers
Mixed Equations with Decimals
Add and Subtract Mixed Numbers
Multiply Fractions by Whole Numbers
Mixed Equations with Fractions, Mixed Numbers
Compare Fractions
Compare Ratios
Estimate Mixed Equations
Multi-Step
Circles
Guess and Check
Elapsed Time
Integers: Understanding Integers
Maps with Decimal Distances
Maps with Fractional Distances
Understanding Fractions
Describe Pictures as Ratios
Equivalent Ratios
Ratios and Proportions
Ratios and Proportions
Unit Rates
Constant Rate of Change
Rate of Change
Probability of Simple Events
Probability of Opposite and Overlapping Events
Probability of Independent and Dependent Events
Probability Problems
Experimental Probability
Scale Drawings and Scale Factors
Solving Proportions
Identify Proportional Relationships
Solving Proportions
Estimate Using Proportions
Consumer Math: Price Lists
Consumer Math: Unit Prices
Unit Prices with Unit Conversions Up to 20
Unit Prices with Unit Conversions Up to 40
Unit Prices: Find the Total
Percent of a Number: Tax, Discount, Tip
Find the Percent: Tax, Discount
Sale Prices: Find the Original Price
Percents with Multi-Step Problems
Estimate Tips
Compound Interest
Simple Interest
Identify Independent and Dependent Events
Area of Triangles and Trapezoids
Area of Rectangles and Parallelograms
Surface Area
Perimeter Area and Volume Changes in Scale
Making Predictions
Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
Estimate Percents of Numbers
Percent Change
Percent Change
Use Venn Diagrams to Solve Problems
Solve One-Step Linear Inequalities
Solutions to Variable Inequalities
Solve Two-Step Linear Equations
Solve Two-Step Linear Inequalities
Similar and Congruent Figures
Similar Figures: Side Lengths and Angle Measures
Similar Figures and Indirect Measurement
Circles: Calculate Area, Radius, Circumference
Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
Integer Addition and Subtraction Rules
Add and Subtract Integers
Complete Addition and Subtraction Sentences with Integers
Complete Addition and Subtraction Sentences with Integers
Complete Multiplication and Division Sentences with Integers
Divisibility Rules
Integer Multiplication and Division Rules
Multiply and Divide Integers
Multiply and Divide Rational Numbers
Evaluate Expressions with Decimals
Add and Subtract Decimal Numbers
Multiply Decimals
Divide Decimals
Add and Subtract Fractions
Add and Subtract Fractions
Add and Subtract Mixed Numbers
Add and Subtract Mixed Numbers
Add, Subtract Inequalities with Fractions and Mixed Numbers
Multi Step Inequalities with Decimals
Multiply Fractions with Models
Multiply Fractions by Whole Numbers
Divide and Multiply Mixed Numbers
Multiply Mixed Numbers
Convert Between Decimals and Fractions or Mixed Numbers
Convert Between Percents, Fractions and Decimals
Add and Subtract Rational Numbers
Rational Numbers: Absolute Value of Rational Numbers
Compare Percents to Fractions and Decimals
Parts of a Circle
Congruence Statements and Corresponding Parts
Find Complementary, Vertical, and Adjacent Angles
Identify Angles by Type
Congruent Figures: Side Lengths and Angle Measures
Front, Side, and Top View
Nets of 3-Dimensional Figures
Volume of Cubes and Rectangular Prisms
Names and Bases of 3-Dimensional Figures
Construct Angles with a Protractor
Construct Obtuse, Acute, Right Angle Using a Protractor
Construct Angles with Mixed Equations Using a Protractor
Name, Measure and Classify Angles
Quarter Circles
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.
Convert Between Improper Fractions and Mixed Numbers
Constant of Variation
Constant of Variation with Tables
Add and Subtract Like Terms
Solve Equations Involving Like Terms
Reducing Fractions to Lowest Terms
Distributive Property
Simplify Variable Expressions Using Properties
Solve Equations Using Properties
Properties of Addition and Multiplication
Model and Solve Equations Using Algebra Tiles
Identify Representative, Random, and Biased Samples
Identify Random Samples
Create and use representations to organize, record, and communicate mathematical ideas.
Analyze mathematical relationships to connect and communicate mathematical ideas.
Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.
The student applies mathematical process standards to represent and use rational numbers in a variety of forms. The student is expected to extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers.
Add, subtract, multiply, and divide rational numbers fluently.
Apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers.
Represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt.
Calculate unit rates from rates in mathematical and real-world problems.
Determine the constant of proportionality (k = y/x) within mathematical and real-world problems.
Solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems.
Convert between measurement systems, including the use of proportions and the use of unit rates.
Generalize the critical attributes of similarity, including ratios within and between similar shapes.
Describe p as the ratio of the circumference of a circle to its diameter.
Solve mathematical and real-world problems involving similar shape and scale drawings.
Represent sample spaces for simple and compound events using lists and tree diagrams.
Select and use different simulations to represent simple and compound events with and without technology.
Make predictions and determine solutions using experimental data for simple and compound events.
Make predictions and determine solutions using theoretical probability for simple and compound events.
Find the probabilities of a simple event and its complement and describe the relationship between the two.
Use data from a random sample to make inferences about a population.
Solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents.
Interpret Bar Graphs
Interpret Double Bar Graphs
Interpret Line Graphs
Interpret Double Line Graphs
Interpret Pictographs
Interpret Line Plots with Up to 5 Data Points
Interpret Circle Graphs
Create Bar Graphs
Create Double Bar Graphs Using Tables
Create Line Graphs
Create Double Line Graphs Using Tables
Create Line Plots
Create Line Plots II
Create Pictographs
Create Histograms
Create Frequency Tables
Solve problems using qualitative and quantitative predictions and comparisons from simple experiments.
Determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces.