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(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.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) (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) (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) (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.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.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.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.