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SC.9-12.A1.Algebra 1
Algebra 1
A1.AAPR. Arithmetic with Polynomials and Rational Expressions
A1.AAPR.1. Add, subtract, and multiply polynomials and understand that polynomials are closed under these operations. (Limit to linear; quadratic.)
A1.ACE.1. Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable. (Limit to linear; qu
A1.ACE.2. Create equations in two or more variables to represent relationships between quantities. Graph the equations on coordinate axes using appropriate labels, units, and scales. (Limit to linear; quadratic; exponential with integer exponents; direct and indire
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A1.AREI. Reasoning with Equations and Inequalities
A1.AREI.1. Understand and justify that the steps taken when solving simple equations in one variable create new equations that have the same solution as the original.
A1.AREI.11. Solve an equation of the form f(x)=g(x) graphically by identifying the x-coordinate(s) of the point(s) of intersection of the graphs of y=f(x) and y=g(x). (Limit to linear; quadratic; exponential.)
A1.AREI.5. Justify that the solution to a system of linear equations is not changed when one of the equations is replaced by a linear combination of the other equation.
A1.AREI.6. Solve systems of linear equations algebraically and graphically focusing on pairs of linear equations in two variables. (Note: A1.AREI.6a and 6b are not Graduation Standards.)
A1.AREI.6a. Solve systems of linear equations using the substitution method.
A1.FIF.1. Extend previous knowledge of a function to apply to general behavior and features of a function.
A1.FIF.1a. 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.
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
A1.FIF.1c. Understand that the graph of a function labeled as f is the set of all ordered pairs (x,y) that satisfy the equation y=f(x).
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
A1.FIF.4. Interpret key features of a function that models the relationship between two quantities when given in graphical or tabular form. Sketch the graph of a function from a verbal description showing key features. Key features include intercepts; intervals whe
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A1.FIF.7. Graph functions from their symbolic representations. Indicate key features including intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. Graph
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A1.FLQE. Linear, Quadratic, and Exponential
A1.FLQE.1. Distinguish between situations that can be modeled with linear functions or exponential functions by recognizing situations in which one quantity changes at a constant rate per unit interval as opposed to those in which a quantity changes by a constant pe
A1.FLQE.1a. Prove that linear functions grow by equal differences over equal intervals and that exponential function grow by equal factors over equal intervals.
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A1.NRNS. Real Number System
A1.NRNS.3. Explain why the sum or product of rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
A1.SPID.7. Create a linear function to graphically model data from a real-world problem and interpret the meaning of the slope and intercept(s) in the context of the given problem.
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
SC.9-12.A2.Algebra 2
Algebra 2
A2.AAPR. Arithmetic with Polynomials and Rational Expressions
A2.AAPR.1. Add, subtract, and multiply polynomials and understand that polynomials are closed under these operations.
A2.ACE.1. Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable.
A2.ACE.2. Create equations in two or more variables to represent relationships between quantities. Graph the equations on coordinate axes using appropriate labels, units, and scales.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A2.AREI. Reasoning with Equations and Inequalities
A2.AREI.11. Solve an equation of the form f(x)=g(x) graphically by identifying the x-coordinate(s) of the point(s) of intersection of the graphs of y=f(x) and y=g(x).
A2.ASE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. (Note: A2.ASE.3b and 3c are not Graduation Standards.)
A2.ASE.3c. Use the properties of exponents to transform expressions for exponential functions.
A2.FBF.1. Write a function that describes a relationship between two quantities. (Note: IA.FBF.1a is not a Graduation Standard.)
A2.FBF.1a. Write a function that models a relationship between two quantities using both explicit expressions and a recursive process and by combining standard forms using addition, subtraction, multiplication and division to build new functions.
A2.FIF.4. Interpret key features of a function that models the relationship between two quantities when given in graphical or tabular form. Sketch the graph of a function from a verbal description showing key features. Key features include intercepts; intervals whe
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A2.FIF.7. Graph functions from their symbolic representations. Indicate key features including intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. Graph
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
A2.FIF.8. Translate between different but equivalent forms of a function equation to reveal and explain different properties of the function. (Note: A2.FIF.8b is not a Graduation Standard.)
A2.FIF.8b. Interpret expressions for exponential functions by using the properties of exponents.
A2.FLQE.1. Distinguish between situations that can be modeled with linear functions or exponential functions by recognizing situations in which one quantity changes at a constant rate per unit interval as opposed to those in which a quantity changes by a constant pe
A2.FLQE.1b. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
SC.9-12.FL.Algebra 1
Algebra 1
FA.ACE. Creating Equations
FA.ACE.1. Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable. (Limit to linear; qu
FA.ACE.2. Create equations in two or more variables to represent relationships between quantities. Graph the equations on coordinate axes using appropriate labels, units, and scales. (Limit to linear; quadratic; exponential with integer exponents; direct and indire
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
FA.AREI. Reasoning with Equations and Inequalities
FA.AREI.1. Understand and justify that the steps taken when solving simple equations in one variable create new equations that have the same solution as the original.
FA.AREI.11. Solve an equation of the form f(x)=g(x) graphically by identifying the x-coordinate(s) of the point(s) of intersection of the graphs of y=f(x) and y=g(x). (Limit to linear; quadratic; exponential.)
FA.AREI.5. Justify that the solution to a system of linear equations is not changed when one of the equations is replaced by a linear combination of the other equation.
FA.AREI.6. Solve systems of linear equations algebraically and graphically focusing on pairs of linear equations in two variables. (Note: FA.AREI.6a and 6b are not Graduation Standards.)
FA.AREI.6a. Solve systems of linear equations using the substitution method.
FA.FIF.1. Extend previous knowledge of a function to apply to general behavior and features of a function.
FA.FIF.1a. 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.
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
FA.FIF.1c. Understand that the graph of a function labeled as f is the set of all ordered pairs (x,y) that satisfy the equation y=f(x).
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
FA.FIF.4. Interpret key features of a function that models the relationship between two quantities when given in graphical or tabular form. Sketch the graph of a function from a verbal description showing key features. Key features include intercepts; intervals whe
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
FA.FIF.7. Graph functions from their symbolic representations. Indicate key features including intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. Graph
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
FA.FLQE. Linear, Quadratic, and Exponential
FA.FLQE.1. Distinguish between situations that can be modeled with linear functions or exponential functions by recognizing situations in which one quantity changes at a constant rate per unit interval as opposed to those in which a quantity changes by a constant pe
FA.FLQE.1a. Prove that linear functions grow by equal differences over equal intervals and those exponential functions grow by equal factors over equal intervals.
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
FA.NRNS. Real Number System
FA.NRNS.3. Explain why the sum or product of rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
FA.SPID.5. Analyze bivariate categorical data using two-way tables and identify possible associations between the two categories using marginal, joint, and conditional frequencies.
FA.SPID.7. Create a linear function to graphically model data from a real-world problem and interpret the meaning of the slope and intercept(s) in the context of the given problem.
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
FA.SPMJ. Making Inferences and Justifying Conclusions
FA.SPMJ.2. Distinguish between experimental and theoretical probabilities. Collect data on a chance event and use the relative frequency to estimate the theoretical probability of that event. Determine whether a given probability model is consistent with experimenta
G.GCO.1. Define angle, perpendicular line, parallel line, line segment, ray, circle, and skew in terms of the undefined notions of point, line, and plane. Use geometric figures to represent and describe real-world objects.
G.GCO.2. Represent translations, reflections, rotations, and dilations of objects in the plane by using paper folding, sketches, coordinates, function notation, and dynamic geometry software, and use various representations to help understand the effects of simple
G.GCO.3. Describe rotations and reflections that carry a regular polygon onto itself and identify types of symmetry of polygons, including line, point, rotational, and self-congruence, and use symmetry to analyze mathematical situations.
G.GCO.4. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
G.GCO.5. Predict and describe the results of transformations on a given figure using geometric terminology from the definitions of the transformations, and describe a sequence of transformations that maps a figure onto its image.
G.GCO.7. Prove two triangles are congruent by applying the Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions.
G.GCO.8. Prove, and apply in mathematical and real-world contexts, theorems about lines and angles, including the following:
G.GCO.8b. When a transversal crosses parallel lines, alternate interior angles are congruent, alternate exterior angles are congruent, and consecutive interior angles are supplementary.
G.GGMD.3. Apply surface area and volume formulas for prisms, cylinders, pyramids, cones, and spheres to solve problems and justify results. Include problems that involve algebraic expressions, composite figures, geometric probability, and real-world applications.
G.GSRT. Similarity, Right Triangles, and Trigonometry
G.GSRT.1. Understand 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. Verify experimentally the properties of dilations given by a center and a scale factor. Understand
G.GSRT.2. Use the definition of similarity to decide if figures are similar and justify decision. Demonstrate that two figures are similar by identifying a combination of translations, rotations, reflections, and dilations in various representations that move one f
G.GSRT.3. Prove that two triangles are similar using the Angle-Angle criterion and apply the proportionality of corresponding sides to solve problems and justify results.
G.SPID.3. Summarize and represent data from a single data set. Interpret differences in shape, center, and spread in the context of the data set, accounting for possible effects of extreme data points (outliers).
IA.ACE.1. Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable.
IA.ACE.2. Create equations in two or more variables to represent relationships between quantities. Graph the equations on coordinate axes using appropriate labels, units, and scales.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
IA.AREI. Reasoning with Equations and Inequalities
IA.AREI.11. Solve an equation of the form f(x)=g(x) graphically by identifying the x-coordinate(s) of the point(s) of intersection of the graphs of y=f(x) and y=g(x).
IA.FBF.1. Write a function that describes a relationship between two quantities. (Note: IA.FBF.1a is not a Graduation Standard.)
IA.FBF.1a. Write a function that models a relationship between two quantities using both explicit expressions and a recursive process and by combining standard forms using addition, subtraction, multiplication and division to build new functions.
IA.FIF.4. Interpret key features of a function that models the relationship between two quantities when given in graphical or tabular form. Sketch the graph of a function from a verbal description showing key features. Key features include intercepts; intervals whe
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
IA.FIF.7. Graph functions from their symbolic representations. Indicate key features including intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. Graph
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
SC.9-12.PC.Pre-Calculus
Pre-Calculus
PC.AREI. Reasoning with Equations and Inequalities
PC.AREI.11. Solve an equation of the form f(x)=g(x) graphically by identifying the x-coordinate(s) of the point(s) of intersection of the graphs of y=f(x) and y=g(x).
PC.FIF.4. Interpret key features of a function that models the relationship between two quantities when given in graphical or tabular form. Sketch the graph of a function from a verbal description showing key features. Key features include intercepts; intervals whe
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
SC.9-12.PS.Probability and Statistics
Probability and Statistics
PS.SPCR. Conditional Probability and Rules of Probability
PS.SPCR.1. Describe events as subsets of a sample space and
PS.SPCR.1a. Use Venn diagrams to represent intersections, unions, and complements.
PS.SPCR.2. Use the multiplication rule to calculate probabilities for independent and dependent events. 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 characteri
PS.SPCR.4. 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.
PS.SPCR.8. Use permutations and combinations to solve mathematical and real-world problems, including determining probabilities of compound events. Justify the results.
PS.SPID.3. Summarize and represent data from a single data set. Interpret differences in shape, center, and spread in the context of the data set, accounting for possible effects of extreme data points (outliers).
PS.SPID.4. 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
PS.SPID.5. Analyze bivariate categorical data using two-way tables and identify possible associations between the two categories using marginal, joint, and conditional frequencies.
PS.SPID.7. Find linear models using median fit and regression methods to make predictions. Interpret the slope and intercept of a linear model in the context of the data.
PS.SPMJ. Making Inferences and Justifying Conclusions
PS.SPMJ.2. Distinguish between experimental and theoretical probabilities. Collect data on a chance event and use the relative frequency to estimate the theoretical probability of that event. Determine whether a given probability model is consistent with experimenta
PS.SPMJ.3. Plan and conduct a survey to answer a statistical question. Recognize how the plan addresses sampling technique, randomization, measurement of experimental error and methods to reduce bias.
PS.SPMJ.4. Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.
PS.SPMJ.5. Distinguish between experiments and observational studies. Determine which of two or more possible experimental designs will best answer a given research question and justify the choice based on statistical significance.