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Select the number of each type of objective: (Selecting Random will randomly generate all subtypes) Click on any title to see the free sample worksheet. (only the first few samples are free)
(Random) (2.A) Number and operations. Extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of real numbers;
(Random) (2.B) Number and operations. Approximate the value of an irrational number, including π and square roots of numbers less than 225, and locate that rational number approximation on a number line;
(Random) (3.A) Proportionality. Generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation;
(Random) (3.C) Proportionality. Use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation.
(Random) (4.A) Proportionality. Use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values, (y2 - y1)/ (x2 - x1), is the same for any two points (x1, y1) and (x2, y2) on the same line;
(Random) (4.C) Proportionality. Use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems
(Random) (5.B) Proportionality. Represent linear non-proportional situations with tables, graphs, and equations in the form of y = mx + b, where b ≠ 0;
(Random) (5.C) Proportionality. Contrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a linear relationship from a graphical representation;
(Random) (5.F) Proportionality. Distinguish between proportional and non-proportional situations using tables, graphs, and equations in the form y = kx or y = mx + b, where b ≠ 0;
(Random) (5.I) Proportionality. Write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations.
(Random) (6.B) Expressions, equations, and relationships. Model the relationship between the volume of a cylinder and a cone having both congruent bases and heights and connect that relationship to the formulas;
(Random) (7.B) Expressions, equations, and relationships. Use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders;
(Random) (7.D) Expressions, equations, and relationships. Determine the distance between two points on a coordinate plane using the Pythagorean Theorem.
(Random) (8.A) Expressions, equations, and relationships. Write one-variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants;
(Random) (8.B) Expressions, equations, and relationships. Write a corresponding real-world problem when given a one-variable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants;
(Random) (8.C) Expressions, equations, and relationships. Model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants;
(Random) (8.D) Expressions, equations, and relationships. Use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
(Random) (9) Expressions, equations, and relationships. The student applies mathematical process standards to use multiple representations to develop foundational concepts of simultaneous linear equations. The student is expected to identify and verify the values of x and y that simultaneously satisfy two linear equations in the form y = mx + b from the intersections of the graphed equations.
(Random) (10.A) Two-dimensional shapes. Generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane;
(Random) (10.C) Two-dimensional shapes. Explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360° as applied to two-dimensional shapes on a coordinate plane using an algebraic representation;
(Random) (11.A) Measurement and data. Construct scatterplot and describe the observed data to address questions of association such as linear, non-linear, and no association between bivariate data;
(Random) (11.B) Measurement and data. Determine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points;
(Random) (11.C) Measurement and data. Simulate generating random samples of the same size from a population with known characteristics to develop the notion of a random sample being representative of the population from which it was selected.
(Random) (12.B) Personal financial literacy. Calculate the total cost of repaying a loan, including credit cards and easy access loans, under various rates of interest and over different periods using an online calculator;
(Random) (12.C) Personal financial literacy. Explain how small amounts of money invested regularly, including money saved for college and retirement, grow over time;
(Random) (12.F) Personal financial literacy. Analyze situations to determine if they represent financially responsible decisions and identify the benefits of financial responsibility and the costs of financial irresponsibility;
(Random) (12.G) Personal financial literacy. Estimate the cost of a two-year and four-year college education, including family contribution, and devise a periodic savings plan for accumulating the money needed to contribute to the total cost of attendance for at least the first year of college.
