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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)
Quiz, Flash Cards, Worksheet, Game & Study GuideDisplaying 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
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)
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
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 GuideDisplaying 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
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)
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
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
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 GuideLinear 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.
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.
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 GuideFunctions
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.
Quiz, Flash Cards, Worksheet, Game & Study GuideSequences
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 GuideLinear 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 GuideLinear 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 GuideLinear 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 GuideFunctions
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear 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.
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.
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 GuideLinear 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.
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
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
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.
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
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 GuideLinear equations
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 GuideFunctions
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.
Quiz, Flash Cards, Worksheet, Game & Study GuideSequences
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 GuideLinear 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 GuideLinear 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 GuideLinear 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 GuideFunctions
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear 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.
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 GuideLinear 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
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.
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.
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 GuideLinear 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.
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.
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 GuideFunctions
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.
Quiz, Flash Cards, Worksheet, Game & Study GuideSequences
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 GuideLinear 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 GuideLinear 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 GuideLinear 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 GuideFunctions
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear 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.
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.
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 GuideLinear 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.
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.
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
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
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
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
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 GuideLinear 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.
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.
Quiz, Flash Cards, Worksheet, Game & Study GuideSequences
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 GuideLinear 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 GuideLinear 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 GuideFunctions
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.
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 GuideLinear 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.
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.
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
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 GuideFunctions
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 GuideFunctions
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
Quiz, Flash Cards, Worksheet, Game & Study GuideSequences
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 GuideLinear 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
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
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]
Quiz, Flash Cards, Worksheet, Game & Study GuideSequences
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 GuideLinear 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 GuideFunctions
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.
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 GuideLinear 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 GuideLinear 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.
FR.1.BTAII.3. Add, subtract, and multiply polynomials. Understand that polynomials, like the integers, are closed under addition, subtraction, and multiplication
FR.1.BTAII.6. Solve linear equations, inequalities and absolute value equations in one variable, including equations with coefficients represented by letters.
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.
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
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.
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
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
HSG.CO.A.4. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
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.
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.
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
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 GuidePlane 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.
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
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
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.
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).
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 GuidePlane 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
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
HSG.CO.A.4. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
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.
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.
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
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
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.
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).
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 GuidePlane 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.
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
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
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)
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
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]
Quiz, Flash Cards, Worksheet, Game & Study GuideSequences
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 GuideLinear 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
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.
Quiz, Flash Cards, Worksheet, Game & Study GuideSequences
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 GuideLinear 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 GuideLinear 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 GuideLinear 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 GuideDisplaying 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)
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)
Quiz, Flash Cards, Worksheet, Game & Study GuideDisplaying 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
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)
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)
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
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.