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A.APR. Arithmetic with Polynomials and Rational Expressions Perform arithmetic operations on polynomials. A.APR.1. (9/10) Add, subtract, and multiply polynomials.
A.CED. Creating Equations Create equations that describe numbers or relationships. A.CED.1. (all) Apply and extend previous understanding to create equations and inequalities in one variable and use them to solve problems.
A.CED.2. (all) Apply and extend previous understanding to create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
A.CED.3. (all) 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. For example, represent inequalities describing nutritional and cost c
A.CED.4. (all) Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law ݑ=ɰݐR to highlight resistance R.
A.REI. Reasoning with Equations and Inequalities Understand solving equations as a process of reasoning and explain the reasoning. A.REI.1. (all) 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.
Solve equations and inequalities in one variable. A.REI.2. (all) Apply and extend previous understanding to solve equations, inequalities, and compound inequalities in one variable, including literal equations and inequalities.
Solve systems of equations. A.REI.6. (9/10) Analyze and solve pairs of simultaneous linear equations. A.REI.6a. (9/10) Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
A.REI.6b. (9/10) Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3ݑ + 2Űݑ = 5 and 3ưݑ + 2Űݑ = 6 have no solution because 3ưݑ + 2Űݑ cannot simultan
A.REI.6c. (9/10) Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second
Represent and solve equations and inequalities graphically. A.REI.10. (9/10) 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 corre
A.REI.9. (9/10/11) Solve an equation f(ݑ) = g(Űݑ) by graphing Űݑ = ưݑ(Ӱݑ) and Űݑ = g(ưݑ) and finding the x-value of the intersection point. Include cases where f(Űݑ) and/or g(Űݑ) are linear, polynomial, rational, absolute value, exponential, and logarithmic functi
A.SSE. Seeing Structure in Expressions Write expressions in equivalent forms to solve problems. A.SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. A.SSE.3c. (11) 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)12^t ≈ 1.012^12^t to reveal the approximate equivalent monthly interest rate if the annual rate is Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
F.BF. Building Functions Build a function that models a relationship between two quantities. F.BF.1. Use functions to model real-world relationships. F.BF.1b. (11) Determine an explicit expression, a recursive function, or steps for calculation from a context.
F.IF. Interpreting Functions Understand the concept of a function and use function notation. F.IF.1. (all) 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 (ݑ) denotes the output o Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Interpret functions that arise in applications in terms of the context. F.IF.4. (all) For a function that models a relationship between two quantities, interpret key features of expressions, graphs and tables in terms of the quantities, and sketch graphs showing key features given a description of the relationship. Key features inclu
F.IF.6. (9/10/11) 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. (9/10) limited to linear functions.
Analyze functions using different representations. F.IF.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. F.IF.7a. (9/10) Graph linear, quadratic and absolute value functions and show intercepts, maxima, minima and end behavior.
F.IF.8. Write a function in different but equivalent forms to reveal and explain different properties of the function. F.IF.8a. (9/10) Use different forms of linear functions, such as slope-intercept, standard, and point-slope form to show rate of change and intercepts.
F.IF.8c. (11) Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as ݑ = (1.02)^t, ưݑ = (0.97)^t, ưݑ = (1.01)^12t, ưݑ = (1.2)^t/10, and classify them as representing ex Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
F.LQE. Linear, Quadratic, and Exponential Models Construct and compare linear, quadratic, and exponential models and solve problems. F.LQE.1. Distinguish between situations that can be modeled with linear functions and with exponential functions. F.LQE.1a. (11) Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
G.CO. Congruence Experiment with transformations in the plane. G.CO.1. (9/10) Verify experimentally (for example, using patty paper or geometry software) the properties of rotations, reflections, translations, and symmetry: G.CO.1a. (9/10) Lines are taken to lines, and line segments to line segments of the same length.
G.CO.1b. (9/10) Angles are taken to angles of the same measure.
G.CO.1c. (9/10) Parallel lines are taken to parallel lines.
G.CO.1d. (9/10) Identify any line and/or rotational symmetry within a figure.
G.CO.2. (9/10) Recognize transformations as functions that take points in the plane as inputs and give other points as outputs and describe the effect of translations, rotations, and reflections on two-dimensional figures. For example, (ݑ,Űݑ) maps to (ưݑ+3,ŰݑƢȒ5)
Construct arguments about geometric theorems using rigid transformations and/or logic. G.CO.7. (9/10) Construct arguments about lines and angles using theorems. 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 perpe
G.GMD. Geometric Measurement and Dimension Explain volume formulas and use them to solve problems. G.GMD.1. (+) Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments and informal limit arguments.
G.GPE. Expressing Geometric Properties with Equations Use coordinates to prove simple geometric theorems algebraically. G.GPE.7. (9/10) Prove the slope criteria for parallel and perpendicular lines and 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).
G.GPE.8. (9/10) Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, including the use of the distance and midpoint formulas.
G.SRT. Similarity, Right Triangles, and Trigonometry Understand similarity in terms of similarity transformations. G.SRT.1. (9/10) Use geometric constructions to verify the properties of dilations given by a center and a scale factor: G.SRT.1a. (9/10) 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.
G.SRT.1b. (9/10) The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
G.SRT.2. (9/10) Recognize transformations as functions that take points in the plane as inputs and give other points as outputs and describe the effect of dilations on two-dimensional figures.
G.SRT.3. (9/10) Given two similar figures, describe a sequence of transformations that exhibits the similarity between them using coordinates and the non-coordinate plane.
G.SRT.4. (9/10) Understand the meaning of similarity for two-dimensional figures as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
Construct arguments about theorems involving similarity. G.SRT.6. (9/10) Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
KS.N.Number and Quantity
N.RN. The Real Number System Use properties of rational numbers and irrational numbers. N.RN.3. (11) Rewrite expressions involving radicals and rational exponents using the properties of exponents.
KS.S.Statistics & Probability
S.CP. Conditional Probability and the Rules of Probability Understand independent and conditional probability and use them to interpret data. S.CP.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.
S.ID. Interpreting Categorical and Quantitative Data Summarize, represent, and interpret data on two categorical and quantitative variables. S.ID.4. (9/10) 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 th
S.ID.5. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. S.ID.5c. (+) Assess the fit of a function by plotting and analyzing residuals.