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(Random) (2.A) Numeracy--foundations of real numbers. Extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of real numbers
(Random) (2.B) Numeracy--foundations of real numbers. 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.B) Numeracy--operations with rational numbers. Apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers
(Random) (4.A) Numeracy--applications of percents. Solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems
(Random) (4.E) Numeracy--applications of percents. 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) (4.F) Numeracy--applications of percents. Explain how small amounts of money invested regularly, including money saved for college and retirement, grow over time
(Random) (4.G) Numeracy--applications of percents. 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
(Random) (5.E) Proportionality--geometric ratios. 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) (6.G) Proportionality--probability. Determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces
(Random) (7.C) One-variable 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) (7.D) One-variable 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) (7.E) One-variable 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.A) Two-variable equations and relationships--foundations of linear relationships. Determine the constant of proportionality (k = y/x) within mathematical and real-world problems
(Random) (8.B) Two-variable equations and relationships--foundations of linear relationships. 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) (8.C) Two-variable equations and relationships--foundations of linear relationships. Identify examples of proportional and non-proportional relationships that arise from mathematical and real-world problems.
(Random) (10.A) Geometric expressions, equations, and relationships--foundations of geometric concepts. Use models to determine the approximate formulas for the circumference and area of a circle and connect the models to the actual formulas
(Random) (10.B) Geometric expressions, equations, and relationships--foundations of geometric concepts. Solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net
(Random) (10.C) Geometric expressions, equations, and relationships--foundations of geometric concepts. Describe the volume formula V = Bh of a cylinder in terms of its base area and its height
(Random) (10.D) Geometric expressions, equations, and relationships--foundations of geometric concepts. Model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas
(Random) (10.E) Geometric expressions, equations, and relationships--foundations of geometric concepts. Explain verbally and symbolically the relationship between the volume of a triangular prism and a triangular pyramid having both congruent bases and heights and connect that relationship to the formulas
(Random) (10.F) Geometric expressions, equations, and relationships--foundations of geometric concepts. 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) (10.G) Geometric expressions, equations, and relationships--foundations of geometric concepts. Use models and diagrams to explain the Pythagorean theorem
(Random) (10.H) Geometric expressions, equations, and relationships--foundations of geometric concepts. 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) (11.A) Geometric expressions, equations, and relationships--applications of geometric concepts. Determine the circumference and area of circles
(Random) (11.B) Geometric expressions, equations, and relationships--applications of geometric concepts. Determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles
(Random) (11.C) Geometric expressions, equations, and relationships--applications of geometric concepts. 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) (11.D) Geometric expressions, equations, and relationships--applications of geometric concepts. Solve problems involving the volume of rectangular pyramids and triangular pyramids
(Random) (11.E) Geometric expressions, equations, and relationships--applications of geometric concepts. Solve problems involving the volume of cylinders, cones, and spheres
(Random) (11.F) Geometric expressions, equations, and relationships--applications of geometric concepts. Use the Pythagorean theorem and its converse to solve problems
(Random) (11.G) Geometric expressions, equations, and relationships--applications of geometric concepts. Determine the distance between two points on a coordinate plane using the Pythagorean theorem
(Random) (12.A) Geometric expressions, equations, and relationships--transformations. Generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane
(Random) (12.B) Geometric expressions, equations, and relationships--transformations. Differentiate between transformations that preserve congruence and those that do not
(Random) (12.C) Geometric expressions, equations, and relationships--transformations. 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) (12.D) Geometric expressions, equations, and relationships--transformations. Model the effect on linear and area measurements of dilated two-dimensional shapes
(Random) (13.B) Data science--applications of measurement and data. Compare two populations based on data in random samples from these populations, including informal comparative inferences about differences between the two populations;
(Random) (13.C) Data science--applications of 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; and
(Random) (13.D) Data science--applications of 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) (14.A) Personal financial literacy--money management. Identify the components of a personal budget, including income; planned savings for college, retirement, and emergencies; taxes; and fixed and variable expenses, and calculate what percentage each category comprises of the total budget
(Random) (14.B) Personal financial literacy--money management. Use a family budget estimator to determine the minimum household budget and average hourly wage needed for a family to meet its basic needs in the student's city or another large city nearby
(Random) (14.C) Personal financial literacy--money management. Analyze situations to determine if they represent financially responsible decisions and identify the benefits of financial responsibility and the costs of financial irresponsibility
