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AM.Applied Mathematical Concepts | AM
Applied Mathematical Concepts | AM
AM.D.CR. Data Analysis, Statistics, and Probability - Counting and Combinatorial Reasoning (D.CR)
AM.D.CR.A. Apply probability and counting principles to real-world situations.
AM.D.CR.A.1. Use permutations, combinations, and the multiplication principle to solve counting problems.
AM.D.ND. Data Analysis, Statistics, and Probability - Normal Probability Distribution (D.ND)
AM.D.ND.A. Work with the normal distribution in real-world situations.
AM.D.ND.A.2. Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to est
B.A.APR. Algebra - Arithmetic with Polynomials and Rational Expressions (A.APR)
B.A.APR.A. Perform arithmetic operations on polynomials.
B.A.APR.A.1. 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.
B.A.REI. Algebra - Reasoning with Equations and Inequalities (A.REI)
B.A.REI.A. Understand solving equations as a process of reasoning and explain the reasoning.
B.A.REI.A.1. Build functions and write expressions, equations, and inequalities for common algebra settings leading to a solution in context (e.g., rate and distance problems and problems that can be solved using proportions).
B.A.REI.C.3. Solve and explain the solutions to a system of equations using a variety of representations including combinations of linear and non-linear equations.
B.F.IF.A. Understand the concept of a function and use function notation.
B.F.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. 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 GuideFunctions
B.F.IF.B. Interpret functions that arise in applications in terms of the context.
B.F.IF.B.3. Recognize functions as mappings of an independent variable into a dependent variable.
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
B.F.IF.C. Analyze functions using different representations.
B.F.IF.C.4. Graph linear, quadratic, absolute value, and piecewise functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated ones.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
B.F.IF.C.5. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
B.S.ID. Statistics and Probability - Interpreting Categorical and Quantitative Data (S.ID)
B.S.ID.A. Summarize, represent, and interpret data on a single count or measurement variable.
B.S.ID.A.1. Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.
B.S.ID.B.3. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
B.S.ID.B.3.a. Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.
P.F.IF.A. Analyze functions using different representations.
P.F.IF.A.2. Analyze qualities of exponential, polynomial, logarithmic, trigonometric, and rational functions and solve real-world problems that can be modeled with these functions (by hand and with appropriate technology).
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
P.F.IF.A.4. Identify the real zeros of a function and explain the relationship between the real zeros and the x-intercepts of the graph of a function (exponential, polynomial, logarithmic, trigonometric, and rational).
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
P.G.AT. Geometry - Applied Trigonometry (G.AT)
P.G.AT.A. Use trigonometry to solve problems.
P.G.AT.A.3. Derive and apply the formulas for the area of sector of a circle.
P.N.NE. Number and Quantity - Number Expressions (N.NE)
P.N.NE.A. Represent, interpret, compare, and simplify number expressions.
P.N.NE.A.1. Use the laws of exponents and logarithms to expand or collect terms in expressions; simplify expressions or modify them in order to analyze them or compare them.
Quiz, Flash Cards, Worksheet, Game & Study GuideReal numbers
P.S.MD. Statistics and Probability - Model with Data (S.MD)
P.S.MD.A. Model data using regressions equations.
P.S.MD.A.1. Create scatter plots, analyze patterns, and describe relationships for bivariate data (linear, polynomial, trigonometric, or exponential) to model real-world phenomena and to make predictions.
P.S.MD.A.3. Use a regression equation, modeling bivariate data, to make predictions. Identify possible considerations regarding the accuracy of predictions when interpolating or extrapolating.
S.CP.B.5. Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model.
S.ID.A.8. 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.
S.ID.B. Understand, represent, and use bivariate data.
S.ID.B.12. For bivariate measurement data, be able to display a scatterplot and describe its shape; use technological tools to determine regression equations and correlation coefficients.
S.MD. Probability Distributions - Using Probability to Make Decisions (S.MD)
S.MD.A. Understand and use discrete probability distributions.
S.MD.A.5. Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers
S.MD.B. Understand the normal probability distribution.
S.MD.B.10. Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to est
A1.A.APR. Algebra - Arithmetic with Polynomials and Rational Expressions (A.APR)
A1.A.APR.A. Perform arithmetic operations on polynomials.
A1.A.APR.A.1. 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.
A1.A.CED.A.2. Create equations in two or more variables to represent relationships between quantities; graph equations with two variables on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A1.A.CED.A.3. 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.
A1.A.REI. Algebra - Reasoning with Equations and Inequalities (A.REI)
A1.A.REI.A. Understand solving equations as a process of reasoning and explain the reasoning.
A1.A.REI.A.1. Explain each step in solving an 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.
A1.A.REI.D. Represent and solve equations and inequalities graphically.
A1.A.REI.D.6. 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 approximate solutions using technology.
A1.A.REI.D.7. 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
A1.F.IF.A. Understand the concept of function and use function notation.
A1.F.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. 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 GuideFunctions
A1.F.IF.B. Interpret functions that arise in applications in terms of the context.
A1.F.IF.B.3. 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
A1.F.IF.B.5. 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 GuideLinear equations
A1.F.IF.C. Analyze functions using different representations.
A1.F.IF.C.6. Graph functions expressed symbolically and show key features of the graph, by hand and using technology.
A1.F.IF.C.6.a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A1.F.LE. Functions - Linear, Quadratic, and Exponential Models (F.LE)
A1.F.LE.A. Construct and compare linear, quadratic, and exponential models and solve problems.
A1.F.LE.A.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
A1.F.LE.A.1.a. Recognize 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
A1.S.ID. Statistics and Probability - Interpreting Categorical and Quantitative Data (S.ID)
A1.S.ID.B. Summarize, represent, and interpret data on two categorical and quantitative variables.
A1.S.ID.B.4. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
A1.S.ID.B.4.b. Fit a linear function for a scatter plot that suggests a linear association.
A2.A.REI. Algebra - Reasoning with Equations and Inequalities (A.REI)
A2.A.REI.A. Understand solving equations as a process of reasoning and explain the reasoning.
A2.A.REI.A.1. Explain each step in solving an 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.
A2.A.REI.D. Represent and solve equations graphically.
A2.A.REI.D.6. 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 approximate solutions using technology.
A2.F.IF.A. Interpret functions that arise in applications in terms of the context.
A2.F.IF.A.1. 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
A2.F.IF.A.2. 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 GuideLinear equations
A2.F.IF.B. Analyze functions using different representations.
A2.F.IF.B.4. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
A2.F.IF.B.4.a. Know and use the properties of exponents to interpret expressions for exponential functions.
A2.S.CP. Statistics and Probability - Conditional Probability and the Rules of Probability (S.CP)
A2.S.CP.A. Understand independence and conditional probability and use them to interpret data.
A2.S.CP.A.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.
G.CO.A. Experiment with transformations in the plane.
G.CO.A.1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, plane, distance along a line, and distance around a circular arc.
G.CO.A.2. Represent transformations in the plane in multiple ways, including technology. Describe transformations as functions that take points in the plane (pre-image) as inputs and give other points (image) as outputs. Compare transformations that preserve distan
G.CO.A.4. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
G.CO.A.5. Given a geometric figure and a rigid motion, draw the image of the figure in multiple ways, including technology. Specify a sequence of rigid motions that will carry a given figure onto another.
G.CO.B. Understand congruence in terms of rigid motions.
G.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 determine informally if they are congrue
G.GMD. Geometry - Geometric Measurement and Dimension (G.GMD)
G.GMD.A. Explain volume and surface area formulas and use them to solve problems.
G.GMD.A.1. Give an informal argument for the formulas for the circumference of a circle and the volume and surface area of a cylinder, cone, prism, and pyramid.
G.SRT.A.2. 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
M1.A.CED.A.2. Create equations in two or more variables to represent relationships between quantities; graph equations with two variables on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
M1.A.CED.A.3. 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.
M1.A.REI.C. Represent and solve equations and inequalities graphically.
M1.A.REI.C.4. 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 approximate solutions using technology.
M1.A.REI.C.5. 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
M1.F.IF.A. Understand the concept of a function and use function notation.
M1.F.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. 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 GuideFunctions
M1.F.IF.B. Interpret functions that arise in applications in terms of the context.
M1.F.IF.B.3. 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
M1.F.IF.B.5. 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 GuideLinear equations
M1.F.IF.C. Analyze functions using different representations.
M1.F.IF.C.6. Graph functions expressed symbolically and show key features of the graph, by hand and using technology.
M1.F.IF.C.6.a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
M1.F.LE. Functions - Linear and Exponential Models (F.LE)
M1.F.LE.A. Construct and compare linear and exponential models and solve problems.
M1.F.LE.A.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
M1.F.LE.A.1.a. Recognize 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
M1.G.CO. Geometry - Congruence (G.CO)
M1.G.CO.A. Experiment with transformations in the plane.
M1.G.CO.A.1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, plane, distance along a line, and distance around a circular arc.
M1.G.CO.A.2. Represent transformations in the plane in multiple ways, including technology. Describe transformations as functions that take points in the plane (pre-image) as inputs and give other points (image) as outputs. Compare transformations that preserve distan
M1.G.CO.A.4. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
M1.G.CO.A.5. Given a geometric figure and a rigid motion, draw the image of the figure in multiple ways, including technology. Specify a sequence of rigid motions that will carry a given figure onto another.
M1.G.CO.B. Understand congruence in terms of rigid motions.
M1.G.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 determine informally if they are congrue
M2.A.APR. Algebra - Arithmetic with Polynomials and Rational Expressions (A.APR)
M2.A.APR.A. Perform arithmetic operations on polynomials.
M2.A.APR.A.1. 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.
M2.A.CED.A.2. Create equations in two or more variables to represent relationships between quantities; graph equations with two variables on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
M2.A.REI. Algebra - Reasoning with Equations and Inequalities (A.REI)
M2.A.REI.A. Understand solving equations as a process of reasoning and explain the reasoning.
M2.A.REI.A.1. Explain each step in solving an 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.
M2.F.IF.A. Interpret functions that arise in applications in terms of the context.
M2.F.IF.A.1. 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
M2.F.IF.A.3. 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 GuideLinear equations
M2.F.IF.B. Analyze functions using different representation.
M2.F.IF.B.4. Graph functions expressed symbolically and show key features of the graph, by hand and using technology.
M2.F.IF.B.4.a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
M2.F.IF.B.5. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
M2.F.IF.B.5.b. Know and use the properties of exponents to interpret expressions for exponential functions.
M2.G.GMD. Geometry - Geometric Measurement and Dimension (G.GMD)
M2.G.GMD.A. Explain volume and surface area formulas and use them to solve problems.
M2.G.GMD.A.1. Give an informal argument for the formulas for the circumference of a circle and the volume and surface area of a cylinder, cone, prism, and pyramid.
M2.G.SRT.A.2. 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
M2.S.CP. Statistics and Probability - Conditional Probability and the Rules of Probability (S.CP)
M2.S.CP.A. Understand independence and conditional probability and use them to interpret data.
M2.S.CP.A.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.
M3.A.CED.A.2. Create equations in two or more variables to represent relationships between quantities; graph equations with two variables on coordinate axes with labels and scales.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
M3.A.REI. Algebra - Reasoning with Equations and Inequalities (A.REI)
M3.A.REI.A. Understand solving equations as a process of reasoning and explain the reasoning.
M3.A.REI.A.1. Explain each step in solving an 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.
M3.A.REI.B. Represent and solve equations graphically.
M3.A.REI.B.3. 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 approximate solutions using technology.
M3.F.IF.A. Interpret functions that arise in applications in terms of the context.
M3.F.IF.A.1. 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
M3.F.IF.A.2. 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 GuideLinear equations
M3.F.IF.B. Analyze functions using different representations.
M3.F.IF.B.3. Graph functions expressed symbolically and show key features of the graph, by hand and using technology.
M3.F.IF.B.3.a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
M3.G.GPE. Geometry - Expressing Geometric Properties with Equations (G.GPE)
M3.G.GPE.B. Use coordinates to prove simple geometric theorems algebraically.
M3.G.GPE.B.3. Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.
Quiz, Flash Cards, Worksheet, Game & Study GuidePlane figures
M3.G.GPE.B.5. Know and use coordinates to compute perimeters of polygons and areas of triangles and rectangles.
Quiz, Flash Cards, Worksheet, Game & Study GuidePlane figures
M3.S.ID. Statistics and Probability - Interpreting Categorical and Quantitative Data (S.ID)
M3.S.ID.B. Summarize, represent, and interpret data on two categorical and quantitative variables.
M3.S.ID.B.2. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
M3.S.ID.B.2.b. Fit a linear function for a scatter plot that suggests a linear association.