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Quantitative Literacy

Quantitative Literacy
Statistics and Probability
3 Students will apply statistical and probabilistic reasoning to draw conclusions, to make decisions, and to evaluate outcomes of decisions.
SP.3.QL.1. Create and use charts, tables, and graphs of real world data (with and without technology)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
 
SP.3.QL.2. Analyze charts, tables and graphs of real world data. Interpret charts, tables and graphs of real world data. Compare charts, tables and graphs of real world data
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
SP.3.QL.3. Analyze statistical information from studies, surveys, and polls to make informed judgements as to the validity of claims or conclusions (e.g., bias, limitations, sampling, causation vs correlation, misuse of statistics)
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
 
SP.3.QL.4. Make decisions about data summarized numerically using measures of center: compare measures of center of two or more data sets; interpret the differences in context; justify the use of a chosen measure
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
SP.3.QL.6. Evaluate the validity of claims based on experimental and theoretical probabilities
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
SP.3.QL.7. Apply rules of counting and probability to compute probabilities of compound real world events: addition rule; multiplication rule; Fundamental Counting Principle; permutation and combinations; visual representations (e.g., Venn diagrams, tree diagrams, l
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
Modeling
1 Students will use appropriate mathematical models to solve problems.
M.1.QL.1. Demonstrate understanding of the meaning of a solution and identify when insufficient information is given to solve a problem
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
M.1.QL.5. Create and use mathematical models for bivariate data sets to: answer questions; draw conclusions; make decisions
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
 
Personal Financial Literacy
4 Students will apply mathematics to make informed personal financial decisions.
PF.4.QL.6. Apply appropriate models to determine the impact of the relationship among loan rates, the term of a loan, the principle amount of a loan, and payments (e.g., amortization table, spreadsheet, compound interest, annual interest rates, continuous rates)
PF.7.SI.1. Compare the effects of interest rates as applied to saving and borrowing money
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
 
PF.7.SI.2. Examine how consumers are affected by raising and lowering interest rates
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
 
PF.7.SI.3. Calculate simple and compound interest and explain the difference between the two
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
 
Numerical Reasoning
2 Students will use number sense and proportional reasoning in real world settings to make and communicate decisions in order to draw conclusions based on quantitative analysis.
NR.2.QL.4. Compare magnitudes of numbers in context in different forms (e.g., millions, billions, trillions, national debt, Richter scale, scientific notation)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
NR.2.QL.6. Solve real world problems requiring interpretation and comparison of various representations of rates and ratios
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
 
Business Financial Literacy
5 Students will understand the principles and mathematics in business as it applies to economics.
BF.5.QL.4. Analyze how stock market averages and indices are calculated (e.g., Dow Jones, NASDAQ, S&P 500)
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
BF.5.QL.6. Prepare for employment by analyzing job skills (e.g., resume building, communication, time management, employer expectations and requirements)
PF.1.EI.3. Evaluate ways to make a positive impressions during a job interview
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 

AR.AI-A.Algebra I Part A

Algebra I Part A
AI-A.BF. Building Functions
AI-A.BF.17. Build a function that models a relationship between two quantities
HSF.BF.A.1. Write a function that describes a relationship between two quantities.
HSF.BF.A.1.a. From a context, determine an explicit expression, a recursive process, or steps for calculation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
AI-A.CED. Creating Equations
AI-A.CED.9. Create equations that describe numbers or relationships
HSA.CED.A.1. Create equations and inequalities in one variable and use them to solve problems. Note: Including but not limited to equations arising from: Linear functions; Quadratic functions; Exponential functions; Absolute value functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
HSA.CED.A.2. Create equations in two or more variables to represent relationships between quantities. Graph equations, in two variables, on a coordinate plane.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
HSA.CED.A.3. Represent and interpret constraints by equations or inequalities, and by systems of equations and/or inequalities. Interpret solutions as viable or nonviable options in a modeling and/or real-world context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
HSA.CED.A.4. Rearrange literal equations using the properties of equality.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
AI-A.ID. Interpreting categorical and quantitative data
AI-A.ID.22. Summarize, represent, and interpret data on two categorical and quantitative variables
HSS.ID.B.5. Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
AI-A.IF. Interpreting Functions
AI-A.IF.14. Understand the concept of a function and use function notation
HSF.IF.A.1. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes t
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
HSF.IF.A.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example: The Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n + 1) = f(n) + (n − 1) for n ≥ 1.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
AI-A.IF.15. Interpret functions that arise in applications in terms of the context
HSF.IF.B.4. For a function that models a relationship between two quantities: Interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Note: Key features may include
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
HSF.IF.B.6. Calculate and interpret the average rate of change of a function (presented algebraically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AI-A.IF.16. Analyze functions using different representations
HSF.IF.C.7. Graph functions expressed algebraically and show key features of the graph, with and without technology.
HSF.IF.C.7.a. Graph linear and quadratic functions and, when applicable, show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AI-A.LE. Linear, Quadratic, and Exponential Models
AI-A.LE.19. Construct and compare linear, quadratic, and exponential models and solve problems
HSF.LE.A.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
HSF.LE.A.1.a. Show that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AI-A.REI. Reasoning with Equations and Inequalities
AI-A.REI.10. Understand solving equations as a process of reasoning and explain the reasoning
HSA.REI.A.1. Assuming that equations have a solution, construct a solution and justify the reasoning used.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
AI-A.REI.11. Solve equations and inequalities in one variable
HSA.REI.B.3. Solve linear equations, inequalities and absolute value equations in one variable, including equations with coefficients represented by letters.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
HSA.REI.B.4. Solve quadratic equations in one variable.
HSA.REI.B.4.b. Solve quadratic equations (as appropriate to the initial form of the equation) by: Inspection of a graph; Taking square roots; Completing the square; Using the quadratic formula; Factoring. Recognize complex solutions and write them as a bi for real numb
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AI-A.REI.12. Solve systems of equations and inequalities graphically
HSA.REI.C.5. Solve systems of equations in two variables using substitution and elimination. Understand that the solution to a system of equations will be the same when using substitution and elimination.
Flip Charts Math Grade 8
 
HSA.REI.C.6. Solve systems of equations algebraically and graphically.
Flip Charts Math Grade 8
 
AI-A.REI.13. Solve systems of equations
HSA.REI.D.11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); Find the solutions approximately by: Using technology to graph the functions; Making tables of val
Flip Charts Math Grade 8
 
HSA.REI.D.12. Solve linear inequalities and systems of linear inequalities in two variables by graphing.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
AI-A.RN. The Real Number System
AI-A.RN.1. Use properties of rational and irrational numbers
HSN.RN.B.3. Explain why: The sum/difference or product/quotient (where defined) of two rational numbers is rational; The sum/difference of a rational number and an irrational number is irrational; The product/quotient of a nonzero rational number and an irrational nu
Flip Charts Math Grade 8
Flip Charts The Real Numbers
 
AI-A.SSE. Seeing Structure in Expressions
AI-A.SSE.3. Interpret the structure of expressions
HSA.SSE.A.1. Interpret expressions that represent a quantity in terms of its context.
HSA.SSE.A.1.a. Interpret parts of an expression using appropriate vocabulary, such as terms, factors, and coefficients.
Flip Charts Algebra Skills
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 

AR.AI-B.Algebra I Part B

Algebra I Part B
AI-A.APR. Arithmetic with Polynomials and Rational Expressions
AI-A.APR.5. Perform arithmetic operations on polynomials
HSA.APR.A.1. Add, subtract, and multiply polynomials. Understand that polynomials, like the integers, are closed under addition, subtraction, and multiplication.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
AI-A.BF. Building Functions
AI-A.BF.17. Build a function that models a relationship between two quantities
HSF.BF.A.1. Write a function that describes a relationship between two quantities.
HSF.BF.A.1.a. From a context, determine an explicit expression, a recursive process, or steps for calculation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
AI-A.CED. Creating Equations
AI-A.CED.9. Create equations that describe numbers or relationships
HSA.CED.A.1. Create equations and inequalities in one variable and use them to solve problems. Note: Including but not limited to equations arising from: Linear functions, Quadratic functions, Exponential functions, Absolute value functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
HSA.CED.A.2. Create equations in two or more variables to represent relationships between quantities. Graph equations, in two variables, on a coordinate plane.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
AI-A.IF. Interpreting Functions
AI-A.IF.14. Understand the concept of a function and use function notation
HSF.IF.A.1. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes t
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
HSF.IF.A.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example: The Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n + 1) = f(n) + (n − 1) for n ≥ 1.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
AI-A.IF.15. Interpret functions that arise in applications in terms of the context
HSF.IF.B.4. For a function that models a relationship between two quantities: Interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Note: Key features may include
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
HSF.IF.B.6. Calculate and interpret the average rate of change of a function (presented algebraically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AI-A.IF.16. Analyze functions using different representations
HSF.IF.C.7. Graph functions expressed algebraically and show key features of the graph, with and without technology.
HSF.IF.C.7.a. Graph linear and quadratic functions and, when applicable, show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AI-A.LE. Linear, Quadratic, and Exponential Models
AI-A.LE.19. Construct and compare linear, quadratic, and exponential models and solve problems
HSF.LE.A.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
HSF.LE.A.1.a. Show that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AI-A.REI. Reasoning with Equations and Inequalities
AI-A.REI.10. Understand solving equations as a process of reasoning and explain the reasoning
HSA.REI.A.1. Assuming that equations have a solution, construct a solution and justify the reasoning used.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
AI-A.REI.11. Solve equations and inequalities in one variable
HSA.REI.B.4. Solve quadratic equations in one variable.
HSA.REI.B.4.b. Solve quadratic equations (as appropriate to the initial form of the equation) by: Inspection of a graph; Taking square roots; Completing the square; Using the quadratic formula; Factoring. Recognize complex solutions and write them as a bi for real numb
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AI-A.REI.13. Solve systems of equations
HSA.REI.D.11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); Find the solutions approximately by: Using technology to graph the functions; Making tables of va
Flip Charts Math Grade 8
 
AI-A.SSE. Seeing Structure in Expressions
AI-A.SSE.3. Interpret the structure of expressions
HSA.SSE.A.1. Interpret expressions that represent a quantity in terms of its context.
HSA.SSE.A.1.a. Interpret parts of an expression using appropriate vocabulary, such as terms, factors, and coefficients.
Flip Charts Algebra Skills
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 

AR.AI.Algebra I

Algebra I
AAI.APR. Arithmetic with Polynomials and Rational Expressions
AAI.APR.5. Perform arithmetic operations on polynomials
HSA.APR.A.1. Add, subtract, and multiply polynomials. Understand that polynomials, like the integers, are closed under addition, subtraction, and multiplication.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
AI.BF. Building Functions
AI.BF.17. Build a function that models a relationship between two quantities
HSF.BF.A.1. Write a function that describes a relationship between two quantities.
HSF.BF.A.1.a. From a context, determine an explicit expression, a recursive process, or steps for calculation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
AI.CED. Creating Equations
AI.CED.9. Create equations that describe numbers or relationships
HSA.CED.A.1. Create equations and inequalities in one variable and use them to solve problems. Note: Including but not limited to equations arising from: Linear functions; Quadratic functions; Exponential functions; Absolute value functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
HSA.CED.A.2. Create equations in two or more variables to represent relationships between quantities. Graph equations, in two variables, on a coordinate plane.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
HSA.CED.A.3. Represent and interpret constraints by equations or inequalities, and by systems of equations and/or inequalities. Interpret solutions as viable or nonviable options in a modeling and/or real-world context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
HSA.CED.A.4. Rearrange literal equations using the properties of equality.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
AI.ID. Interpreting categorical and quantitative data
AI.ID.22. Summarize, represent, and interpret data on two categorical and quantitative variables
HSS.ID.B.5. Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
AI.IF. Interpreting Functions
AI.IF.14. Understand the concept of a function and use function notation
HSF.IF.A.1. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and ݑŰݑ is an element of its domain, then f(x) denotes
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
HSF.IF.A.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example: The Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n + 1) = f(n) + (n − 1) for n ≥ 1.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
AI.IF.15. Interpret functions that arise in applications in terms of the context
HSF.IF.B.4. For a function that models a relationship between two quantities: Interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Note: Key features may include
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
HSF.IF.B.6. Calculate and interpret the average rate of change of a function (presented algebraically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AI.IF.16. Analyze functions using different representations
HSF.IF.C.7. Graph functions expressed algebraically and show key features of the graph, with and without technology.
HSF.IF.C.7.a. Graph linear and quadratic functions and, when applicable, show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AI.LE. Linear, Quadratic, and Exponential Models
AI.LE.19. Construct and compare linear, quadratic, and exponential models and solve problems
HSF.LE.A.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
HSF.LE.A.1.a. Show that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AI.REI. Reasoning with Equations and Inequalities
AI.REI.10. Understand solving equations as a process of reasoning and explain the reasoning
HSA.REI.A.1. Assuming that equations have a solution, construct a solution and justify the reasoning used.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
AI.REI.11. Solve equations and inequalities in one variable
HSA.REI.B.3. Solve linear equations, inequalities and absolute value equations in one variable, including equations with coefficients represented by letters.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
HSA.REI.B.4. Solve quadratic equations in one variable.
HSA.REI.B.4.b. Solve quadratic equations (as appropriate to the initial form of the equation) by: Inspection of a graph; Taking square roots; Completing the square; Using the quadratic formula; Factoring
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AI.REI.12. Solve systems of equations and inequalities graphically
HSA.REI.C.5. Solve systems of equations in two variables using substitution and elimination. Understand that the solution to a system of equations will be the same when using substitution and elimination.
Flip Charts Math Grade 8
 
HSA.REI.C.6. Solve systems of equations algebraically and graphically.
Flip Charts Math Grade 8
 
HSA.REI.C.7. Solve systems of equations consisting of linear equations and nonlinear equations in two variables algebraically and graphically. For example: Find the points of intersection between y = -3x and y = x^2 + 2.
Flip Charts Math Grade 8
 
AI.REI.13. Solve systems of equations
HSA.REI.D.11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); Find the solutions approximately by: Using technology to graph the functions; Making tables of val
Flip Charts Math Grade 8
 
HSA.REI.D.12. Solve linear inequalities and systems of linear inequalities in two variables by graphing.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
AI.RN. The Real Number System
AI.RN.1. Use properties of rational and irrational numbers
HSN.RN.B.3. Explain why: The sum/difference or product/quotient (where defined) of two rational numbers is rational; The sum/difference of a rational number and an irrational number is irrational; The product/quotient of a nonzero rational number and an irrational nu
Flip Charts Math Grade 8
Flip Charts The Real Numbers
 
AI.SSE. Seeing Structure in Expressions
AI.SSE.3. Interpret the structure of expressions
HSA.SSE.A.1. Interpret expressions that represent a quantity in terms of its context.
HSA.SSE.A.1.a. Interpret parts of an expression using appropriate vocabulary, such as terms, factors, and coefficients.
Flip Charts Algebra Skills
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 

AR.AII.Algebra II

Algebra II
AII.APR. Arithmetic with Polynomials and Rational Expressions
AII.APR.9. Perform arithmetic operations on polynomials
HSA.APR.A.1. Add, subtract, and multiply polynomials. Understand that polynomials, like the integers, are closed under addition, subtraction, and multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
AII.BF. Building Functions
AII.BF.21. Build a function that models a relationship between two quantities
HSF.BF.A.1. Write a function that describes a relationship between two quantities.
HSF.BF.A.1.a. From a context, determine an explicit expression, a recursive process, or steps for calculation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
AII.CED. Creating Equations
AII.CED.13. Create equations that describe numbers or relationships
HSA.CED.A.1. Create equations and inequalities in one variable and use them to solve problems. Note: Including but not limited to equations arising from: Linear functions, Quadratic functions, Simple rational functions, Exponential functions, Absolute value functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
HSA.CED.A.2. Create equations in two or more variables to represent relationships between quantities. Graph equations, in two variables, on a coordinate plane.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
HSA.CED.A.3. Represent and interpret constraints by equations or inequalities, and by systems of equations and/or inequalities. Interpret solutions as viable or nonviable options in a modeling and/or real-world context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
HSA.CED.A.4. Rearrange literal equations using the properties of equality
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
AII.IC. Making Inferences and Justifying Conclusions
AII.IC.27. Make inferences and justify conclusions from sample surveys, experiments and observational studies
HSS.IC.B.6. Read and explain, in context, the validity of data from outside reports by:
HSS.IC.B.6.b. Describing how the data was collected.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
 
AII.IF. Interpreting Functions
AII.IF.18. Understand the concept of a function and use function notation
HSF.IF.A.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example: The Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n + 1) = f(n) + (n − 1) for n ≥ 1.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
AII.IF.19. Interpret functions that arise in applications in terms of the context
HSF.IF.B.4. For a function that models a relationship between two quantities: Interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
HSF.IF.B.6. Calculate and interpret the average rate of change of a function (presented algebraically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AII.IF.20. Analyze functions using different representations
HSF.IF.C.8. Write expressions for functions in different but equivalent forms to reveal key features of the function.
HSF.IF.C.8.a. Use the properties of exponents to interpret expressions for exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
AII.REI. Reasoning with Equations and Inequalities
AII.REI.14. Understand solving equations as a process of reasoning and explain the reasoning
HSA.REI.A.1. Assuming that equations have a solution, construct a solution and justify the reasoning used.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
AII.REI.15. Solve equations and inequalities in one variable
HSA.REI.B.4. Solve quadratic equations in one variable.
HSA.REI.B.4.b. Solve quadratic equations (as appropriate to the initial form of the equation) by: Inspection of a graph; Taking square roots; Completing the square; Using the quadratic formula; Factoring Recognize complex solutions and write them as a bi for real numbe
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
AII.REI.16. Solve systems of equations and inequalities graphically.
HSA.REI.C.5. Solve systems of equations in two variables using substitution and elimination. Understand that the solution to a system of equations will be the same when using substitution and elimination.
Flip Charts Math Grade 8
 
HSA.REI.C.6. Solve systems of equations algebraically and graphically.
Flip Charts Math Grade 8
 
HSA.REI.C.7. Solve systems of equations consisting of linear equations and nonlinear equations in two variables algebraically and graphically. For example: Find the points of intersection between y = -3x and y = x^2 + 2.
Flip Charts Math Grade 8
 
AII.REI.17. Solve systems of equations
HSA.REI.D.11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); Find the solutions approximately by: Using technology to graph the functions; Making tables of val
Flip Charts Math Grade 8
 
HSA.REI.D.12. Solve linear inequalities and systems of linear inequalities in two variables by graphing.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
AII.RN. The Real Number System
AII.RN.1. Extend the properties of exponents to rational exponents
HSN.RN.A.2. Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
AII.SSE. Seeing Structure in Expressions
AII.SSE.7. Interpret the structure of expressions
HSA.SSE.A.1. Interpret expressions that represent a quantity in terms of its context.
HSA.SSE.A.1.a. Interpret parts of an expression using appropriate vocabulary, such as terms, factors, and coefficients.
Flip Charts Algebra Skills
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
AII.SSE.8. Write expressions in equivalent forms to solve problems
HSA.SSE.B.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
HSA.SSE.B.3.c. Use the properties of exponents to transform expressions for exponential functions. For example: The expression 1.15^t can be rewritten as (1.15^(1/12))^12t ≈ 1.012^(12t) to reveal the approximate equivalent monthly interest rate if the annual rate is 15%
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 

AR.AIII.Algebra III

Algebra III
AIII.IF. Interpreting Functions
AIII.IF.4. Students will be able to interpret different types of functions and key characteristics including polynomial, exponential, logarithmic, and rational functions.
IF.4.AIII.4. Analyze and interpret exponential functions numerically, graphically, and algebraically, identifying key characteristics such as asymptotes, end behavior, intercepts, and domain and range
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
AIII.SS. Sequences and Series
AIII.SS.5. Students will use sequences and series to represent and analyze mathematical situations.
SS.5.AIII.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers
Flip Charts Math Grade 8
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SS.5.AIII.4. Use sequences and series to solve real world problems, with and without appropriate technology
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 

AR.ATMM.Advanced Topics and Modeling in Mathematics

Advanced Topics and Modeling in Mathematics
ATMM.F. Functions
F.1.ATMM. Students will analyze and interpret functions using different representations in terms of an authentic contextual application.
F.1.ATMM.6. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
F.2.ATMM. Students will construct and compare various types of functions and build models to represent and solve problems.
F.2.ATMM.2. Represent constraints or inequalities using systems of equations and/or inequalities; interpret solutions as viable or non-viable options in a modeling context for functions beyond the level of linear and quadratic
Flip Charts Math Grade 8
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AR.BAII.Bridge to Algebra II

Bridge to Algebra II
BTAII.FM. Function Modeling
BTAII.FM.3. Create equations that describe numbers or relationships, interpret functions that arise in applications in terms of a context, analyze functions using different representations, build a function that models a relationship between two quantities, and build
FM.3.BTAII.1. Create equations and inequalities in one variable and use them to solve problems. Note: Including but not limited to equations arising from: Linear functions; Quadratic functions; Exponential functions; Absolute value functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
FM.3.BTAII.11. Write a function that describes a relationship between two quantities.
FM.3.BTAII.11.a. From a context, determine an explicit expression, a recursive process, or steps for calculation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
FM.3.BTAII.16. Solve linear inequalities and systems of linear inequalities in two variables by graphing.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
FM.3.BTAII.17. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers [e.g., the Fibonacci sequence is defined recursively by f(0) = f(1) = 1,f(n+1) = f(n) + f(n−1) for n ≥ 1]
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
FM.3.BTAII.2. Create equations in two or more variables to represent relationships between quantities. Graph equations, in two variables, on a coordinate plane.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
FM.3.BTAII.20. Use the properties of exponents to transform expressions for exponential functions For example: The expression 1.15t can be rewritten as (1.15^(1/12))^(12t) ≈ 1.012^(12t) to reveal the approximate equivalent monthly interest rate if the annual rate is 15%
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
FM.3.BTAII.3. Represent and interpret constraints by equations or inequalities, and by systems of equations and/or inequalities. Interpret solutions as viable or nonviable options in a modeling and/or real-world context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
FM.3.BTAII.4. Rearrange literal equations using the properties of equality
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
FM.3.BTAII.5. For a function that models a relationship between two quantities: Interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Note: Key features may include
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
FM.3.BTAII.7. Calculate and interpret the average rate of change of a function (presented algebraically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
BTAII.FR. Functional Relationships
BTAII.FR.1. Interpret the structure of expressions, write expressions in equivalent forms to solve problems, perform arithmetic operations on functions, and understand the relationship between zeros and factors of polynomials.
FR.1.BTAII.1. Interpret expressions that represent a quantity in terms of its context.
FR.1.BTAII.1.a. Interpret parts of an expression using appropriate vocabulary, such as terms, factors, and coefficients.
Flip Charts Algebra Skills
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
FR.1.BTAII.3. Add, subtract, and multiply polynomials. Understand that polynomials, like the integers, are closed under addition, subtraction, and multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
FR.1.BTAII.6. Solve linear equations, inequalities and absolute value equations in one variable, including equations with coefficients represented by letters.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
FR.1.BTAII.7. Solve systems of equations in two variables using substitution and elimination. Understand that the solution to a system of equations will be the same when using substitution and elimination.
Flip Charts Math Grade 8
 
BTAII.RF. Representing Functions
BTAII.RF.2. Represent and solve equations and inequalities graphically and analyze functions using different representations.
RF.2.BTAII.1. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); Find the solutions approximately by: Using technology to graph the functions; Making tables of val
Flip Charts Math Grade 8
 
RF.2.BTAII.2. Graph functions expressed algebraically and show key features of the graph, with and without technology.
RF.2.BTAII.2.a. Graph linear and quadratic functions and, when applicable, show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
RF.2.BTAII.4. Rewrite expressions involving radicals and rational exponents using the properties of exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
RF.2.BTAII.8. Solve systems of equations consisting of linear equations and nonlinear equations in two variables algebraically and graphically. For example: Find the points of intersection between y = -3x and y = x^2 + 2.
Flip Charts Math Grade 8
 

AR.CSM.Computer Science and Mathematics

Computer Science and Mathematics
CSM.CPP. Computing Practice and Programming
CSM.CPP.5. Students will create, test, and use computer programs to solve problems.
CPP.5.CSM.1. Implement computing applications using the following software development tools and techniques
CPP.5.CSM.1.b. Declare, define, and reference variables
Flip Charts Algebra Skills
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
CPP.5.CSM.1.g. Recursion
Flip Charts Math Grade 8
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CSM.CT. Computational Thinking
CSM.CT.2. Students will connect the development cycle of algorithm construction to problem solving.
CT.2.CSM.5. Evaluate concepts of different types of functions, numerically and algebraically
CT.2.CSM.5.c. Exponential and logarithmic functions (including inverse relationship between exponents and logarithms)
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
CT.2.CSM.6. Create systems of equations and matrices based on real-world situations
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
CT.2.CSM.7. Solve systems of equations and matrices by finding inverses, determinants, and other methods
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
CSM.CT.3. Students will create and evaluate algorithms to solve problems.
CT.3.CSM.3. Manipulate formulas and equations and apply them to algorithm development
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 

AR.G-A.Geometry A

Geometry A
G-A.CO. Congruence
G-A.CO.1. Investigate transformations in the plane
HSG.CO.A.1. Based on the undefined notions of point, line, plane, distance along a line, and distance around a circular arc, define: Angle; Line segment; Circle; Perpendicular lines; Parallel lines
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
HSG.CO.A.2. Represent transformations in the plane (e.g. using transparencies, tracing paper, geometry software, etc.). Describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preser
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
HSG.CO.A.3. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and/or reflections that carry it onto itself.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
HSG.CO.A.4. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
HSG.CO.A.5. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure, (e.g., using graph paper, tracing paper, miras, geometry software, etc.). Specify a sequence of transformations that will carry a given figure onto another.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
G-A.CO.2. Understand congruence in terms of rigid motions
HSG.CO.B.6. Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure. Given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
G-A.CO.3. Apply and prove geometric theorems
HSG.CO.C.9. Apply and prove theorems about lines and angles. Theorems include but are not limited to: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a
Flip Charts Math Grade 8
Flip Charts Plane Geometry
 
G-A.GPE. Expressing Geometric Properties with Equations
G-A.GPE.9. Use coordinates to prove simple geometric theorems algebraically
HSG.GPE.B.7. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
G-A.SRT. Similarity, Right Triangles, and Trigonometry
G-A.SRT.6. Understand similarity in terms of similarity transformations
HSG.SRT.A.1. Verify experimentally the properties of dilations given by a center and a scale factor.
HSG.SRT.A.1.a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
HSG.SRT.A.1.b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
HSG.SRT.A.2. Given two figures: Use the definition of similarity in terms of similarity transformations to determine if they are similar. Explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of ang
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 

AR.G-B.Geometry B

Geometry B
G-B.CO. Congruence
G-B.CO.1. Apply and prove geometric theorems
HSG.CO.C.9. Apply and prove theorems about lines and angles. Theorems include but are not limited to: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a
Flip Charts Math Grade 8
Flip Charts Plane Geometry
 
G-B.GMD. Geometric measurement and dimension
G-B.GMD.9. Explain volume formulas and use them to solve problems
HSG.GMD.A.1. Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. For example: Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
 
HSG.GMD.A.3. Use volume formulas for cylinders, pyramids, cones, spheres, and to solve problems which may involve composite figures. Compute the effect on volume of changing one or more dimension(s).
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
G-B.GPE. Expressing Geometric Properties with Equations
G-B.GPE.8. Use coordinates to prove simple geometric theorems algebraically
HSG.GPE.B.7. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 

AR.G.Geometry

Geometry
G.CO. Congruence
G.CO.1. Investigate transformations in the plane
HSG.CO.A.1. Based on the undefined notions of point, line, plane, distance along a line, and distance around a circular arc, define: Angle; Line segment; Circle; Perpendicular lines; Parallel lines
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
HSG.CO.A.2. Represent transformations in the plane (e.g. using transparencies, tracing paper, geometry software, etc.). Describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preser
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
HSG.CO.A.3. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and/or reflections that carry it onto itself.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
HSG.CO.A.4. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
HSG.CO.A.5. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure, (e.g., using graph paper, tracing paper, miras, geometry software, etc.). Specify a sequence of transformations that will carry a given figure onto another.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
G.CO.2. Understand congruence in terms of rigid motions
HSG.CO.B.6. Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure. Given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
HSG.CO.B.8. Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. Investigate congruence in terms of rigid motion to develop the criteria for triangle congruence (ASA, SAS, AAS, SSS, a
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
G.CO.3. Apply and prove geometric theorems
HSG.CO.C.9. Apply and prove theorems about lines and angles. Theorems include but are not limited to: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a
Flip Charts Math Grade 8
Flip Charts Plane Geometry
 
G.GMD. Geometric measurement and dimension
G.GMD.14. Explain volume formulas and use them to solve problems
HSG.GMD.A.1. Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. For example: Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
 
HSG.GMD.A.3. Use volume formulas for cylinders, pyramids, cones, spheres, and to solve problems which may involve composite figures. Compute the effect on volume of changing one or more dimension(s).
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
G.GPE. Expressing Geometric Properties with Equations
G.GPE.13. Use coordinates to prove simple geometric theorems algebraically
HSG.GPE.B.7. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
G.SRT. Similarity, Right Triangles, and Trigonometry
G.SRT.6. Understand similarity in terms of similarity transformations
HSG.SRT.A.1. Verify experimentally the properties of dilations given by a center and a scale factor.
HSG.SRT.A.1.a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
HSG.SRT.A.1.b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
HSG.SRT.A.2. Given two figures: Use the definition of similarity in terms of similarity transformations to determine if they are similar. Explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of ang
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 

AR.MAA.Mathematical Applications and Algorithms

Mathematical Applications and Algorithms
MAA.EF. Equations and Formulas
MAA.EF.2. The student will manipulate formulas and equations and apply them to programming applications.
EF.2.MAA.1. Represent constraints by equations or inequalities and by systems of equations and/or inequalities (two and three variable systems); interpret solutions as viable or nonviable options in a modeling context (e.g., represent inequalities describing nutritio
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
EF.2.MAA.2. Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations (e.g., rearrange Ohm’s law V = IR to highlight resistance R)
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
EF.2.MAA.3. Give an informal argument for the formulas for the circumference of a circle, area of a circle, and volume of a cylinder, pyramid, and cone; use dissection arguments, Cavalieri’s principle, and informal limit arguments
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
 
EF.2.MAA.5. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
MAA.F. Functions
MAA.F.1. The student will graphically, numerically, and algebraically evaluate concepts of different types of functions; include recursively defined functions, series, and sequences; and apply them to programming applications.
F.1.MAA.1. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers [e.g., the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n−1) for n ≥ 1]
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
F.1.MAA.2. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases:
F.1.MAA.2.b. Graph linear and quadratic functions and show intercepts, maxima, and minima
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
F.1.MAA.3. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
MAA.PD. Program Design
MAA.PD.5. The student will design a step-by-step plan to solve a given problem.
PD.5.MAA.6. Develop recursive relationships from mathematical models (e.g., arithmetic and geometric sequences)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
MAA.PS. Problem Solving
MAA.PS.4. The student will develop and apply logical reasoning skills to solve real-world problems through the development of mathematical models.
PS.4.MAA.4. Write an algorithm from a mathematical model
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 

AR.PC.Pre-Calculus

Pre-Calculus
PC.F. Functions
PC.F.6. Students will be able to find the inverse of functions and use composition of functions to prove that two functions are inverses.
F.6.PC.1. Write a function that describes a relationship between two quantities.
F.6.PC.1.a. From a context, determine an explicit expression, a recursive process, or steps for calculation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
PC.F.7. Students will be able to interpret different types of functions and their key characteristics including polynomial, exponential, logarithmic, power, trigonometric, rational, and other types of functions.
F.7.PC.1. ce is defined recursively by (0) = (1) = 1, f(n + 1) = f(n) + (n − 1) for n ≥ 1.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 
F.7.PC.4. For a function that models a relationship between two quantities: Interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Note: Key features may include
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
F.7.PC.5. Calculate and interpret the average rate of change of a function (presented algebraically or as a table) over a specified interval. Estimate the rate of change from a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
F.7.PC.6. Graph functions expressed algebraically and show key features of the graph, with and without technology.
F.7.PC.6.a. Graph linear and quadratic functions and, when applicable, show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 

AR.QL.Quantitative Literacy

Quantitative Literacy
QL.M. Modeling
M.QL.1. Students will use appropriate mathematical models to solve problems.
M.1.QL.1. Demonstrate understanding of the meaning of a solution and identify when insufficient information is given to solve a problem
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
M.1.QL.5. Create and use mathematical models for bivariate data sets to answer questions; draw conclusions; make decisions
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
 
QL.NR. Numerical Reasoning
QL.NR.2. Students will use number sense and proportional reasoning in real world settings to make and communicate decisions in order to draw conclusions based on quantitative analysis.
NR.2.QL.4. Compare magnitudes of numbers in context in different forms (e.g., millions, billions, trillions, national debt, Richter scale, scientific notation)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
NR.2.QL.6. Solve real world problems requiring interpretation and comparison of various representations of rates and ratios
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
 
QL.PF. Personal Financial Literacy
QL.PF.4. Students will apply mathematics to make informed personal financial decisions.
PF.4.QL.2. Represent and analyze various types of income deductions (e.g., federal and state income taxes, Social Security, Medicare taxes, pre-taxed deductions)
Flip Charts Applying Percents
Flip Charts Math Grade 8
 
QL.SP. Statistics and Probability
QL.SP.3. Students will apply statistical and probabilistic reasoning to draw conclusions, to make decisions, and to evaluate outcomes of decisions.
SP.3.QL.1. Create and use charts, tables, and graphs of real world data (with and without technology)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
 
SP.3.QL.2. Analyze charts, tables and graphs of real world data. Interpret charts, tables and graphs of real world data. Compare charts, tables and graphs of real world data
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
SP.3.QL.3. Analyze statistical information from studies, surveys, and polls to make informed judgements as to the validity of claims or conclusions (e.g., bias, limitations, sampling, causation vs correlation, misuse of statistics)
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
 
SP.3.QL.4. Make decisions about data summarized numerically using measures of center (compare measures of center of two or more data sets; interpret the differences in context; justify the use of a chosen measure)
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
SP.3.QL.6. Evaluate the validity of claims based on experimental and theoretical probabilities
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
SP.3.QL.7. Apply rules of counting and probability to compute probabilities of compound real world events (addition rule; multiplication rule; Fundamental Counting Principle; permutation and combinations; visual representations (e.g., Venn diagrams, tree diagrams, l
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 

AR.S.Statistics

Statistics
S.CP. Conditional Probability and the Rules of Probability
S.CP.2. Understand independence and conditional probability and use them to interpret data.
CP.2.S.2. Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting