Scope and Sequence AM™ CC Math 1 Library The Accelerated Math™ scope and sequence is based on extensive mathematics and standards research and consultation from mathematics educators, mathematicians, and university researchers. You're sure to find objectives that reinforce the skills you are teaching, regardless of what instructional materials you use. Accelerated Math makes it easy to select and organize objectives to suit your textbook and your own teaching approach. This Accelerated Math library provides the following scope and sequence of objectives Topic 1 - Relationships between Quantities and Reasoning with Equations • • • • • • • • • • • • • • Determine the units of a quantity in a formula WP: Determine the process for solving a multi-step problem using the units involved Solve a 1-variable linear equation Solve a multi-step 1-variable linear inequality with the variable on one side of the inequality sign that involves the commutative and associative properties Solve a multi-step 1-variable linear inequality with the variable on one side of the inequality sign that involves the distributive, commutative, and associative properties Solve a multi-step 1-variable linear inequality with the variable on both sides of the inequality sign that involves the commutative and associative properties Solve a multi-step 1-variable linear inequality with the variable on both sides of the inequality sign that involves the distributive, commutative, and associative properties Rewrite a linear equation in slopeintercept form Rearrange a formula to isolate a variable of interest where the formula is linear in that variable Identify the property that justifies a step when solving a linear equation WP: Represent a situation using a 1variable linear equation WP: Solve a problem that can be represented by a 1-variable linear equation Solve a 1-variable absolute value equation Solve a 1-variable absolute value inequality • • • • • • • • • • • • • • • • WP: Represent a situation using a linear equation with two or more variables Determine the graph of a linear equation WP: Represent a situation using a 1variable exponential equation WP: Solve a problem that can be represented by a 1-variable exponential equation WP: Represent a situation using a 2variable exponential equation Determine the graph of an exponential equation Solve a system of linear equations in two variables by graphing Solve a system of linear equations in two variables by elimination Solve a system of linear equations in two variables by substitution Solve a system of linear equations in two variables by any method Determine the graph of a 2-variable linear inequality Determine the graph of the solution set of a system of linear inequalities in two variables WP: Determine a system of linear equations that can represent a given situation WP: Determine a system of linear inequalities that can represent a given situation WP: Solve a mixture problem that can be represented by a system of linear equations WP: Solve a motion problem that can be represented by a system of linear equations Topic 2 - Linear and Exponential Relationships • • Evaluate a function for a given input Interpret a statement that uses function notation P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2014 Renaissance Learning, Inc. All rights reserved. Page 1 of 4 R57258.140114 Scope and Sequence • • • • • • • • • • • • • • • • • • • WP: Determine the graph of a linear function that represents a situation WP: Determine the sketch of an exponential function that represents a situation WP: Determine the domain of a linear or exponential function given a representative graph WP: Determine a reasonable domain for a linear or exponential function in a given situation WP: Calculate the rate of change of a linear function given a table WP: Calculate the average rate of change of an exponential function over a specified interval given a table or an equation WP: Estimate the rate of change of a linear function or the average rate of change of an exponential function over a specified interval on a graph Determine the graph of a linear function showing its intercepts Determine the graph of an exponential function showing its intercepts and end behavior Compare the properties of two linear or exponential functions WP: Determine a linear or exponential function for a given situation WP: Determine a recursive process for calculating the values in a situation that leads to a linear or exponential function WP: Determine the steps for calculating the values for a situation that leads to a linear or exponential function Combine linear and/or exponential functions using addition or subtraction WP: Combine linear and/or exponential functions using addition or subtraction Determine a recursive formula for an arithmetic sequence Determine an explicit formula for an arithmetic sequence given the first term and the common difference Determine a recursive formula for a geometric sequence Determine an explicit formula for a geometric sequence AM™ CC Math 1 Library • • • • • • • • • • • • • • Translate between a recursive and an explicit formula for a sequence WP: Represent a situation involving a sequence using an arithmetic or geometric formula Determine the effect of replacing f(x) with f(x) + k on the graph of a linear or exponential function Determine the linear or exponential function resulting from a transformation given the parent function and graphs of the parent and transformed functions Identify a situation that can be modeled by a linear function Determine an equation that represents a graphed line Determine the equation of a line in slope-intercept form given the slope and y-intercept Determine an equation of a line in point-slope form given the slope and a point on the line that is not the yintercept Determine an equation of a line in various forms given two points on the line Determine an equation of a line in slope-intercept form given two nonintercept points on the line Identify a situation that can be modeled by an exponential function Determine the equation of an exponential function given a graph WP: Represent the relationship between two quantities with an exponential function Determine the equation of an exponential function given two inputoutput pairs Topic 3 - Descriptive Statistics • • • • • Represent data using a dot plot Represent data using a histogram Represent data involving an outlier using a box plot WP: Compare differences in data given two box plots Represent categorical data using a two-way frequency table P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2014 Renaissance Learning, Inc. All rights reserved. Page 2 of 4 R57258.140114 Scope and Sequence • • • • • • • • Recognize possible associations and trends in data summarized in a twoway frequency table Represent data from a table using a scatter plot Determine the line of best fit using linear regression for data on a scatter plot Compute the correlation coefficient of a line of best fit WP: Interpret the correlation coefficient of a line of best fit Determine the type of function that best fits data on a scatter plot WP: Solve a problem using linear regression and a function of best fit Determine a residual plot for a given linear function of best fit Topic 4 - Congruence, Proof, and Construction • • • • • Identify a function that describes a transformation Determine the graph of a transformation given a function that describes the translation Determine the rotations or reflections that carry a rectangle, parallelogram, trapezoid, or regular polygon onto itself Determine the coordinates of the image of a figure's vertex after two transformations of the same type Determine the coordinates of the image of a figure's vertex after two transformations of different types AM™ CC Math 1 Library • • Identify corresponding parts of congruent triangles in terms of rigid motion Determine a sequence of transformations that will carry a given figure onto another figure Topic 5 - Connecting Algebra and Geometry Through Coordinates • • • • • • • Determine whether lines through points with given coordinates are parallel or perpendicular Determine the coordinates of a point through which a line must pass in order to be parallel or perpendicular to a given line Determine whether two lines are perpendicular or parallel given the equations of the lines Determine an equation of a line in slope-intercept form that goes through a given point and is parallel or perpendicular to a given line Determine an equation of a line in standard form that goes through a given point and is parallel or perpendicular to a given line Determine the perimeter of a polygon given the coordinates of the vertices of the figure Determine the area of a right triangle or a rectangle given the coordinates of the vertices of the figure P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2014 Renaissance Learning, Inc. All rights reserved. Page 3 of 4 R57258.140114 Scope and Sequence Accelerated Math Libraries include an almost unlimited supply of dynamic algorithm-generated problems for both assisted-response (multiplechoice) and free-response assignments. Twenty libraries are available: Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Algebra 1 Algebra 2 Geometry Math 1 Math 2 Math 3 Probability & Statistics Pre-Calculus Calculus Financial Literacy Math 1 Financial Literacy Math 2 AM™ CC Math 1 Library Please call us toll-free at 1-800-338-4204 to order this Accelerated Math library or to request the Scope and Sequence for other libraries. Accelerated Math Library AM CC Math 1 Library P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2014 Renaissance Learning, Inc. All rights reserved. Page 4 of 4 R57258.140114
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