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WV.M.1HS.High School Mathematics I

High School Mathematics I
Congruence, Proof, and Constructions
Experiment with transformations in the plane.
M.1HS.39. Know precise definitions of angle, circle, perpendicular line, parallel line and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
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
 
M.1HS.40. Represent transformations in the plane using, for example, transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
M.1HS.41. Given a rectangle, parallelogram, trapezoid or regular polygon, describe the rotations and reflections that carry it onto itself.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
M.1HS.42. 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
 
M.1HS.43. Given a geometric figure and a rotation, reflection or translation draw the transformed figure using, e.g., graph paper, tracing paper or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
Understand congruence in terms of rigid motions.
M.1HS.44. 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
 
Reasoning with Equations
Solve systems of equations.
M.1HS.29. Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
Flip Charts Math Grade 8
 
M.1HS.30. Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Flip Charts Math Grade 8
 
Understand solving equations as a process of reasoning and explain the reasoning.
M.1HS.27. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
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
 
Solve equations and inequalities in one variable.
M.1HS.28. Solve linear equations and inequalities 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
 
Relationships between Quantities
Create equations that describe numbers or relationships.
M.1HS.5. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions and simple rational and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
M.1HS.6. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.1HS.7. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. (e.g., Represent inequalities describing nutritional and cost constraints o
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.1HS.8. 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
 
Connecting Algebra and Geometry through Coordinates
Use coordinates to prove simple geometric theorems algebraically.
M.1HS.50. Prove the slope criteria for parallel and perpendicular lines; use them to solve geometric problems. (e.g., Find the equation of a line parallel or perpendicular to a given line that passes through a given point.)
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
M.1HS.51. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, (e.g., using the distance formula).
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
Descriptive Statistics
Summarize, represent, and interpret data on a single count or measurement variable.
M.1HS.31. Represent data with plots on the real number line (dot plots, histograms, and box plots).
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
Summarize, represent, and interpret data on two categorical and quantitative variables.
M.1HS.34. 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
 
M.1HS.35. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
M.1HS.35.b. Informally assess the fit of a function by plotting and analyzing residuals. (Focus should be on situations for which linear models are appropriate.)
Flip Charts Math Grade 8
 
M.1HS.35.c. Fit a linear function for scatter plots that suggest a linear association.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
Linear and Exponential Relationships
Build a function that models a relationship between two quantities.
M.1HS.20. Write a function that describes a relationship between two quantities.
M.1HS.20.a. Determine an explicit expression, a recursive process or steps for calculation from a context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
Interpret functions that arise in applications in terms of a context.
M.1HS.15. 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. Key features include: intercept
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
M.1HS.17. Calculate and interpret the average rate of change of a function (presented symbolically 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
 
Represent and solve equations and inequalities graphically.
M.1HS.10. 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, (e.g., using technology to graph the functions, make tables of v
Flip Charts Math Grade 8
 
M.1HS.11. Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality) and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
Construct and compare linear, quadratic, and exponential models and solve problems.
M.1HS.23. Distinguish between situations that can be modeled with linear functions and with exponential functions.
M.1HS.23.a. Prove that linear functions grow by equal differences over equal intervals; 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
 
Analyze functions using different representations.
M.1HS.18. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
M.1HS.18.a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Understand the concept of a function and use function notation.
M.1HS.12. 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. If f is a function and x is an element of its domain, then f(x) denotes the output of f c
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
M.1HS.14. 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)+ f(n-1) for n ≥ 1.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
 

WV.M.2HS.High School Mathematics II

High School Mathematics II
Expressions and Equations
Write expressions in equivalent forms to solve problems.
M.2HS.19. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
M.2HS.19.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 Polynomials and Exponents
 
Create equations that describe numbers or relationships.
M.2HS.20. Create equations and inequalities in one variable and use them to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
M.2HS.21. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.2HS.22. 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
 
Analyze functions using different representations.
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
M.2HS.11.b. Use the properties of exponents to interpret expressions for exponential functions. (e.g., Identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y = (1.01)^12t, y = (1.2)^t/10, and classify them as representing exponential growt
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
M.2HS.10. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
M.2HS.10.a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Extending the Number System
Perform arithmetic operations on polynomials.
M.2HS.6. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract and multiply polynomials.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
Circles With and Without Coordinates
Explain volume formulas and use them to solve problems.
M.2HS.60. Give an informal argument for the formulas for the circumference of a circle, area of a circle, 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
 
M.2HS.61. Use volume formulas for cylinders, pyramids, cones and spheres to solve problems. Volumes of solid figures scale by k^3 under a similarity transformation with scale factor k.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
Applications of Probability
Understand independence and conditional probability and use them to interpret data.
M.2HS.29. 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
 
M.2HS.31. Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. (e.g.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
M.2HS.32. Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. (e.g., Compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer.)
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
M.2HS.36. Use permutations and combinations to compute probabilities of compound events and solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
Build a function that models a relationship between two quantities.
M.2HS.13. Write a function that describes a relationship between two quantities.
M.2HS.13.a. Determine an explicit expression, a recursive process or steps for calculation from a context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
Quadratic Functions and Modeling
Interpret functions that arise in applications in terms of a context.
M.2HS.7. 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. Key features include: intercep
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
M.2HS.9. Calculate and interpret the average rate of change of a function (presented symbolically 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
 
Similarity, Right Triangle Trigonometry, and Proof
Prove theorems involving similarity.
M.2HS.46. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Flip Charts Math Grade 8
 
Understand similarity in terms of similarity transformations.
M.2HS.39. Verify experimentally the properties of dilations given by a center and a scale factor.
M.2HS.39.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
 
M.2HS.39.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
 
M.2HS.40. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles
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
 
Use coordinates to prove simple geometric theorems algebraically.
M.2HS.47. Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Prove geometric theorems.
M.2HS.42. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line
Flip Charts Math Grade 8
Flip Charts Plane Geometry
 

WV.M.3HSLA.High School Mathematics III LA

High School Mathematics III LA
Mathematical Modeling
Analyze functions using different representations.
M.3HSLA.39. 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
 
Create equations that describe numbers or relationships.
M.3HSLA.31. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
M.3HSLA.32. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.3HSLA.33. Represent constraints by equations or inequalities and by systems of equations and/or inequalities and interpret solutions as viable or non-viable options in a modeling context. (e.g., Represent inequalities describing nutritional and cost constraints on
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.3HSLA.34. 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
 
Interpret functions that arise in applications in terms of a context.
M.3HSLA.35. 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. Key features include: intercep
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
M.3HSLA.37. Calculate and interpret the average rate of change of a function (presented symbolically 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
 
Inferences and Conclusions from Data
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
M.3HSLA.6. Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
 
Polynomials, Rational, and Radical Relationships
Perform arithmetic operations on polynomials.
M.3HSLA.15. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction and multiplication; add, subtract and multiply polynomials.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
Represent and solve equations and inequalities graphically.
M.3HSLA.23. 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 (e.g., using technology to graph the functions, make tables of va
Flip Charts Math Grade 8
 

WV.M.3HSTR.High School Mathematics III TR (Technical Readiness)

High School Mathematics III TR (Technical Readiness)
Mathematical Modeling
Analyze functions using different representations.
M.3HSTR.39. 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
 
Create equations that describe numbers or relationships.
M.3HSTR.31. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
M.3HSTR.32. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.3HSTR.33. Represent constraints by equations or inequalities and by systems of equations and/or inequalities and interpret solutions as viable or non-viable options in a modeling context. (e.g., Represent inequalities describing nutritional and cost constraints on
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.3HSTR.34. 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
 
Interpret functions that arise in applications in terms of a context.
M.3HSTR.35. 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. Key features include: intercep
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
M.3HSTR.37. Calculate and interpret the average rate of change of a function (presented symbolically 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
 
Inferences and Conclusions from Data
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
M.3HSTR.6. Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
 
Polynomials, Rational, and Radical Relationships
Perform arithmetic operations on polynomials.
M.3HSTR.15. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction and multiplication; add, subtract and multiply polynomials.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
Represent and solve equations and inequalities graphically.
M.3HSTR.23. 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 (e.g., using technology to graph the functions, make tables of va
Flip Charts Math Grade 8
 

WV.M.4HSTP.High School Mathematics IV – Trigonometry/Pre-calculus

High School Mathematics IV – Trigonometry/Pre-calculus
Analysis and Synthesis of Functions
Build a function that models a relationship between two quantities.
M.4HSTP.20. Write a function that describes a relationship between two quantities, including composition of functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 

WV.M.4HSTR.High School Mathematics IV TR (Technical Readiness)

High School Mathematics IV TR (Technical Readiness)
Mathematical Modeling
Create equations that describe numbers or relationships.
M.4HSTR.31. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
M.4HSTR.32. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.4HSTR.33. Represent constraints by equations or inequalities and by systems of equations and/or inequalities and interpret solutions as viable or non-viable options in a modeling context. (e.g., Represent inequalities describing nutritional and cost constraints on
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.4HSTR.34. 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
 
Analyze functions using different representations.
M.4HSTR.39. 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
 
Inferences and Conclusions from Data
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
M.4HSTR.6. Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
 
Polynomials, Rational, and Radical Relationships
Represent and solve equations and inequalities graphically.
M.4HSTR.23. 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 (e.g., using technology to graph the functions, make tables of va
Flip Charts Math Grade 8
 

WV.M.A1HS.High School Algebra I

High School Algebra I
Quadratic Functions and Modeling
Build a function that models a relationship between two quantities.
M.A1HS.57. Write a function that describes a relationship between two quantities.
M.A1HS.57.a. Determine an explicit expression, a recursive process, or steps for calculation from a context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
Interpret functions that arise in applications in terms of a context.
M.A1HS.51. 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. Key features include: intercep
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
M.A1HS.53. Calculate and interpret the average rate of change of a function (presented symbolically 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
 
Analyze functions using different representations.
M.A1HS.54. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
M.A1HS.54.a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
M.A1HS.55. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
M.A1HS.55.b. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y = (1.01)^12t, y = (1.2)^t/10, and classify them as representing exponential
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
Descriptive Statistics
Summarize, represent, and interpret data on a single count or measurement variable.
M.A1HS.33. Represent data with plots on the real number line (dot plots, histograms, and box plots).
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
Summarize, represent, and interpret data on two categorical and quantitative variables.
M.A1HS.36. 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
 
M.A1HS.37. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
M.A1HS.37.b. Informally assess the fit of a function by plotting and analyzing residuals.
Flip Charts Math Grade 8
 
M.A1HS.37.c. Fit a linear function for scatter plots that suggest a linear association.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
Relationships between Quantities and Reasoning with Equations
Solve equations and inequalities in one variable.
M.A1HS.10. Solve linear equations and inequalities 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
 
Create equations that describe numbers or relationships.
M.A1HS.5. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
M.A1HS.6. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.A1HS.7. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. (e.g., Represent inequalities describing nutritional and cost constraints o
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.A1HS.8. 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
 
Understand solving equations as a process of reasoning and explain the reasoning.
M.A1HS.9. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
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
 
Expressions and Equations
Create equations that describe numbers or relationships.
M.A1HS.45. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
M.A1HS.46. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.A1HS.47. 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
 
Write expressions in equivalent forms to solve problems.
M.A1HS.43. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
M.A1HS.43.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 Polynomials and Exponents
 
Perform arithmetic operations on polynomials.
M.A1HS.44. Recognize that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
Linear and Exponential Relationships
Analyze functions using different representations.
M.A1HS.24. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
M.A1HS.24.a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Understand the concept of a function and use function notation.
M.A1HS.18. Recognize 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. If f is a function and x is an element of its domain, then f(x) denotes the output of f co
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
M.A1HS.20. 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
 
Solve systems of equations.
M.A1HS.13. Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
Flip Charts Math Grade 8
 
M.A1HS.14. Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Flip Charts Math Grade 8
 
Build a function that models a relationship between two quantities.
M.A1HS.26. Write a function that describes a relationship between two quantities.
M.A1HS.26.a. Determine an explicit expression, a recursive process, or steps for calculation from a context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
Interpret functions that arise in applications in terms of a context.
M.A1HS.21. 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. Key features include: intercep
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
M.A1HS.23. Calculate and interpret the average rate of change of a function (presented symbolically 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
 
Represent and solve equations and inequalities graphically.
M.A1HS.16. 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 (e.g., using technology to graph the functions, make tables of va
Flip Charts Math Grade 8
 
M.A1HS.17. Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the correspondin
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
Construct and compare linear, quadratic, and exponential models and solve problems.
M.A1HS.29. Distinguish between situations that can be modeled with linear functions and with exponential functions.
M.A1HS.29.a. Prove that linear functions grow by equal differences over equal intervals; 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
 

WV.M.A2HS.High School Algebra II

High School Algebra II
Inferences and Conclusions from Data
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
M.A2HS.42. Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
 
Polynomial, Rational, and Radical Relationships
Perform arithmetic operations on polynomials.
M.A2HS.9. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
Represent and solve equations and inequalities graphically.
M.A2HS.17. 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, e.g., using technology to graph the functions, make tables of va
Flip Charts Math Grade 8
 
Modeling with Functions
Analyze functions using different representations.
M.A2HS.31. 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
 
Create equations that describe numbers or relationships.
M.A2HS.23. Create equations and inequalities in one variable and use them to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
M.A2HS.24. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.A2HS.25. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. (e.g., Represent inequalities describing nutritional and cost constraints o
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.A2HS.26. 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.) While functions will often be linear, exponential, or quadratic the types of problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
Interpret functions that arise in applications in terms of a context.
M.A2HS.27. 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. Key features include: intercep
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
M.A2HS.29. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Note: Emphasize the selection of a model function based on behavior of data and
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 

WV.M.AMM.Advanced Mathematical Modeling

Advanced Mathematical Modeling
Geometry
Concrete geometric representation (physical modeling).
M.AMM.36. Solve geometric problems involving inaccessible distances.
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
 
Statistics
Critiquing statistics.
M.AMM.16. Describe strengths and weaknesses of sampling techniques, data and graphical displays and interpretations of summary statistics and other results appearing in a study, including reports published in the media.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
 
Conducting statistical analysis.
M.AMM.21. Determine possible sources of variability of data, both those that can be controlled and those that cannot be controlled.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
 
Finance
Understanding financial models.
M.AMM.5. Determine, represent and analyze mathematical models for investments involving simple and compound interest with and without additional deposits. (e.g., Savings accounts, bonds, and/or certificates of deposit.)
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
 
Personal use of finance.
M.AMM.8. Research and analyze taxes including payroll, sales, personal property, real estate and income tax returns.
Flip Charts Applying Percents
Flip Charts Math Grade 8
 
Modeling
Modeling data and change with functions.
M.AMM.30. Collect numerical bivariate data; use the data to create a scatter plot; determine whether or not a relationship exists; if so, select a function to model the data, justify the selection and use the model to make predictions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
 
Probability
Analyzing information using probability and counting.
M.AMM.9. Use the Fundamental Counting Principle, Permutations and Combinations to determine all possible outcomes for an event; determine probability and odds of a simple event; explain the significance of the Law of Large Numbers.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 

WV.M.GHS.High School Geometry

High School Geometry
Applications of Probability
Understand independence and conditional probability and use them to interpret data.
M.GHS.43. 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
 
M.GHS.45. Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For ex
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
M.GHS.46. Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. For example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cance
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
M.GHS.50. Use permutations and combinations to compute probabilities of compound events and solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
 
Extending to Three Dimensions
Explain volume formulas and use them to solve problems.
M.GHS.25. Give an informal argument for the formulas for the circumference of a circle, area of a circle, 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
 
M.GHS.26. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
 
Congruence, Proof, and Constructions
Prove geometric theorems.
M.GHS.9. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line
Flip Charts Math Grade 8
Flip Charts Plane Geometry
 
Experiment with transformations in the plane.
M.GHS.1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
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
 
M.GHS.2. Represent transformations in the plane using, for example, transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
 
M.GHS.3. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
M.GHS.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
 
M.GHS.5. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, for example, graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
 
Understand congruence in terms of rigid motions.
M.GHS.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
 
Connecting Algebra and Geometry Through Coordinates
Use coordinates to prove simple geometric theorems algebraically.
M.GHS.30. Prove the slope criteria for parallel and perpendicular lines and uses them to solve geometric problems. (e.g., Find the equation of a line parallel or perpendicular to a given line that passes through a given point.)
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
M.GHS.31. Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
M.GHS.32. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. This standard provides practice with the distance formula and its connection with the Pythagorean theorem.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
 
Similarity, Proof, and Trigonometry
Understand similarity in terms of similarity transformations.
M.GHS.14. Verify experimentally the properties of dilations given by a center and a scale factor.
M.GHS.14.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
 
M.GHS.14.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
 
M.GHS.15. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles
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
 
Prove theorems involving similarity.
M.GHS.18. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Flip Charts Math Grade 8
 

WV.M.MHM.Mathematical Habits of Mind

Mathematical Habits of Mind
MHM1. Make sense of problems and persevere in solving them.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 
MHM2. Reason abstractly and quantitatively.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
 

WV.M.SRM.STEM Readiness

STEM Readiness
Functions and Modeling
Building a function that models a relationship between two quantities.
M.SRM.20. Write a function that describes a relationship between two quantities.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 

WV.M.TMS.Transition Mathematics for Seniors

Transition Mathematics for Seniors
Functions – Interpreting Functions
Analyze functions using different representations.
M.TMS.29. Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line, give examples of functions that are not linear.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
M.TMS.32. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
M.TMS.32.a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
M.TMS.34. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symm
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
Understand the concept of a function and use function notation.
M.TMS.24. Understand 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. If f is a function and x is an element of its domain, then f(x) denotes the output of f corres
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
 
Interpret functions that arise in applications in terms of the context.
M.TMS.27. 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. Key features include: intercep
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
M.TMS.28. Distinguish between situations that can be modeled with linear functions and with exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Algebra – Creating Equations
Create equations that describe numbers or relationships.
M.TMS.11. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions and simple rational and exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
 
M.TMS.12. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.TMS.13. Represent constraints by equations or inequalities and by systems of equations and/or inequalities and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraint
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
 
M.TMS.14. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
 
Algebra – Seeing Structure in Expressions
Understand the connections between proportional relationship, lines, and linear equations.
M.MTS.9. Solve linear equations in one variable.
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
 
M.TMS.7. Graph proportional relationships, interpreting the unit rates as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
M.TMS.8. Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plan; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the ve
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
 
Statistics and Probability – Interpreting Categorical and Quantitative Data
Summarize, represent, and interpret data on two categorical and quantitative variables.
M.TMS.45. Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the d
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
M.TMS.46. 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 dat
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
Summarize, represent, and interpret data on a single count or measurement variable.
M.TMS.47. Represent data with plots on the real number line (dot plots, histograms, and box plots).
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
 
Geometry – Geometric Measuring and Dimension
Explain volume formulas and use them to solve problems.
M.TMS.38. Give an informal argument for the formulas for the circumference of a circle, area of a circle, 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
 
Algebra – Reasoning with Equations and Inequalities
Represent and solve equations and inequalities graphically.
M.TMS.22. Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Flip Charts Math Grade 8
 
M.TMS.23. Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality) and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
 
Solve equations and inequalities in one variable.
M.TMS.16. Solve linear equations and inequalities 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
 
M.TMS.17. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
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
 
Solve systems of equations.
M.TMS.19. Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
Flip Charts Math Grade 8
 
M.TMS.21. Explain why the x-coordinates of the points where the graphs of the equation y = f(x) and y = g(x) intersect are the solution of the equation f(x) = g (x); find the solution approximately (e.g., using technology to graph the functions, make tables of valu
Flip Charts Math Grade 8
 
Algebra – Arithmetic with Polynomials and Rational Expressions
Perform arithmetic operations on polynomials.
M.TMS.10. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract and multiply polynomials.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
 
Geometry – Expressing Geometric Properties with Equations
Use coordinates to prove simple geometric theorems algebraically.
M.TMS.41. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, (e.g., using the distance formula).
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures