Functions - September
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Describe the graph of a function by using shape, intercepts, symmetry, and special points
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Understand and correctly interpret function notation
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Find inputs and outputs of functions
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Complete diamond problems (Review)
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Evaluate expressions with absolute value (Review)
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Evaluate expressions with square root and cube roots (Review)
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Solve linear equations (Checkpoint #1)
Linear Relationships - September
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Use "m" and "b" to graph a linear equation without making a table
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Write an equation and/or interpret slope and y-intercept form from a graph, table, tile pattern, and context
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Interpret slope and y-intercept from an equation
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Find the slope (but not y-intercept) from a table without a y-intercept
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Understand slope as a rate
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Determine functionality
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Determine domain and range
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Recognize values excluded from a function's domain
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Evaluate expressions using the order of operations (Checkpoint #2)
Simplifying and Solving - October
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Simplify expressions with positive, zero, and negative exponents
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Compute area and dimensions on generic rectangles
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Use Distributive Property to simplify expressions
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Multiply binomials and polynomials
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Solve simple equations involving multiplication
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Solve simple absolute value equations
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Rewrite simple linear equations in terms of one of the variables
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Write the the equation of a line from a graph or table that doesn't identify the y-intercept
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Determine the equation of a line from a slope and point and two points algebraically
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Operate with rational numbers (Checkpoint #3)
Systems of Equations- November
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Solve simple systems when one equation is given in y = mx+b form
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Solve simple systems of equations where both equations are given in standard form
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Identify systems with infinite solutions
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Identify systems with no solutions
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Understand that the solution to a system of equations is the point that makes both equations true
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Use graphing to estimate a solution
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Write systems of equations from word problems
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Solve equations with Distributive Property
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Solve multi-variable and non-linear equations for one of the variables
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Solve linear equations with fractional exponents (Checkpoint #4)
Sequences - December
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Recognize whether a sequence, table, or graph is arithmetic or geometric
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Identify the sequence generator in a sequence, table, or graph of an arithmetic and geometric sequence
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Extend the pattern and use multiple representations for arithmetic sequences
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Write a recursive equation for an arithmetic sequence and convert between explicit and recursive equations for arithmetic sequences
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Solve systems of equations by the Elimination Method where one or both equations need to be multiplied by a constant
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Solve systems of equations where a solution method isn't necessarily obvious
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Simplify expressions using Laws of Exponents and Scientific Notation (Checkpoint #5A)
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Write equations of lines (Checkpoint #5B)
Modeling Two-Variable Data - January
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Describe the form, direction, strength, and outliers of a scatter plot visually
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Interpret the slope and y-intercept in context
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Make a prediction by evaluating the line of best fit
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Calculate and interpret residuals
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Create a a Least Squares Regression Line
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Create upper and lower bounds and use them to create a range of predictions
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Find and interpret the correlation coefficient
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Make a conjecture about lurking variables
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Write the equation of geometric sequence
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Find the multiplier in a geometric sequence from a graph
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Solve systems of equations where the choice of methods is not clear
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Rewrite expressions with more than one variable (Checkpoint #6A)
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Multiply binomials to solve equations (Checkpoint #6B)
Exponential Equations - February
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Evaluate an exponential function
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Use exponential functions to solve problem
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Find equations for exponential functions
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Create a step graph
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Create and interpret a residual plot
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Interpret R2 in context
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Describe association completely
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Fit a curved regression
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Solve problems by writing equations (Checkpoint #7A)
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Solve linear systems of equations (Checkpoint #7B)
Quadratic Functions - March
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Factor quadratics without algebra tiles
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Find the x- and y-intercepts of a quadratic in factored or standard form without making a table or graph
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Understand that the roots of a quadratic equation are the x-intercepts of a parabola
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Solve a quadratic equation by factoring and using the Zero Product Property
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Simplify fractional exponents
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Write the equation for a sequence in t(n) = m(n-1) + b or t(n) = abn-1
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Interpret associations (Checkpoint #8)
Solving Quadratics and Inequalities - April
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Solve quadratic equations by factoring and then applying the Zero Product Property, completing the square, applying the quadratic formula, and estimating from a graph or table on the graphing calculator
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Solve one variable inequalities and represent solutions algebraically and on a number line
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Graph two variable inequalities
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Write and solve one-variable inequalities to solve problems
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Understand the meaning of solutions to inequalities
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Factor completely
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Curve fit an exponential function
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Write exponential equations from situations (Checkpoint #9)
Solving Complex Functions - May
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Find probabilities and determine association in simple two-way table
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Solve equations with fractions by finding an equivalent equation
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Solve simple problems with square roots, absolute values, or equivalent bases
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Recognize the number of solutions for a quadratic in perfect square form or standard form or for a simple absolute value equation
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Find the imaginary roots of a quadratic
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Categorize numbers into the number system and determine whether addition or multiplication will result in a rational or irrational number
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Estimate the solution of f(x) = g(x) by graphing the intersections of y = f(x) and y = g(x)
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Write two variable inequalities from context
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Complete the exponential web (Checkpoint #10A)
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Factor polynomials (Checkpoint #10B)
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