Grade Level and High School Content Expectations
N.ME.08.01: Understand the meaning of a square root of a number and its connection to the square whose area is the number; understand the meaning of a cube root and its connection to the volume of a cube.
N.ME.08.02: Understand meanings for zero and negative integer exponents.
N.ME.08.03: Understand that in decimal form, rational numbers either terminate or eventually repeat, and that calculators truncate or round repeating decimals; locate rational numbers on the number line; know fraction forms of common repeating decimals, e.g., 0.1 repeating = 1/9; 0.3 repeating = 1/3.
N.ME.08.04: Understand that irrational numbers are those that cannot be expressed as the quotient of two integers, and cannot be represented by terminating or repeating decimals; approximate the position of familiar irrational numbers, e.g., square root of 2, square root of 3, pi, on the number line.
N.FL.08.05: Estimate and solve problems with square roots and cube roots using calculators.
N.FL.08.06: Find square roots of perfect squares and approximate the square roots of non-perfect squares by locating between consecutive integers, e.g., square root of 130 is between 11 and 12.
N.MR.08.08: Solve problems involving percent increases and decreases.
N.FL.08.09: Solve problems involving compounded interest or multiple discounts.
N.MR.08.10: Calculate weighted averages such as course grades, consumer price indices, and sports ratings.
N.FL.08.11: Solve problems involving ratio units, such as miles per hour, dollars per pound, or persons per square mile.
A.RP.08.01: Identify and represent linear functions, quadratic functions, and other simple functions including inversely proportional relationships (y = k/x); cubics (y = ax³); roots (y = the square root of x); and exponentials (y = a to the x power, a > 0); using tables, graphs, and equations.
A.PA.08.02: For basic functions, e.g., simple quadratics, direct and indirect variation, and population growth, describe how changes in one variable affect the others.
A.PA.08.03: Recognize basic functions in problem context, e.g., area of a circle is pi r², volume of a sphere is 4/3pi r³, and represent them using tables, graphs, and formulas.
A.RP.08.04: Use the vertical line test to determine if a graph represents a function in one variable.
A.RP.08.05: Relate quadratic functions in factored form and vertex form to their graphs, and vice versa; in particular, note that solutions of a quadratic equation are the x-intercepts of the corresponding quadratic function.
A.RP.08.06: Graph factorable quadratic functions, finding where the graph intersects the x-axis and the coordinates of the vertex; use words “parabola” and “roots”; include functions in vertex form and those with leading coefficient –1, e.g., y = x² – 36, y = (x – 2)² – 9; y = – x²; y = – (x – 3)².
A.FO.08.08: Factor simple quadratic expressions with integer coefficients, e.g., x² + 6x + 9, x² + 2x – 3, and x² – 4; solve simple quadratic equations, e.g., x² = 16 or x² = 5 (by taking square roots); x² – x – 6 = 0, x² – 2x = 15 (by factoring); verify solutions by evaluation.
A.FO.08.11: Solve simultaneous linear equations in two variables by graphing, by substitution, and by linear combination; estimate solutions using graphs; include examples with no solutions and infinitely many solutions.
A.FO.08.12: Solve linear inequalities in one and two variables, and graph the solution sets.
A.FO.08.13: Set up and solve applied problems involving simultaneous linear equations and linear inequalities.
G.GS.08.01: Understand at least one proof of the Pythagorean Theorem; use the Pythagorean Theorem and its converse to solve applied problems including perimeter, area, and volume problems.
G.LO.08.02: Find the distance between two points on the coordinate plane using the distance formula; recognize that the distance formula is an application of the Pythagorean Theorem.
G.SR.08.03: Understand the definition of a circle; know and use the formulas for circumference and area of a circle to solve problems.
G.SR.08.04: Find area and perimeter of complex figures by sub-dividing them into basic shapes (quadrilaterals, triangles, circles).
G.SR.08.05: Solve applied problems involving areas of triangles, quadrilaterals, and circles.
G.SR.08.06: Know the volume formulas for generalized cylinders ((area of base) x height), generalized cones and pyramids (1/3 (area of base) x height), and spheres (4/3 pi (radius)³) and apply them to solve problems. G.SR.08.07 Understand the concept of surface area, and find the surface area of prisms, cones, spheres, pyramids, and cylinders.
G.SR.08.07: Understand the concept of surface area, and find the surface area of prisms, cones, spheres, pyramids, and cylinders.
G.SR.08.08: Sketch a variety of two-dimensional representations of three-dimensional solids including orthogonal views (top, front, and side), picture views (projective or isometric), and nets; use such two-dimensional representations to help solve problems.
G.TR.08.09: Understand the definition of a dilation from a point in the plane, and relate it to the definition of similar polygons.
G.TR.08.10: Understand and use reflective and rotational symmetries of two-dimensional shapes and relate them to transformations to solve problems.
D.AN.08.01: Determine which measure of central tendency (mean, median, mode) best represents a data set, e.g., salaries, home prices, for answering certain questions; justify the choice made.
D.PR.08.04: Apply the Basic Counting Principle to find total number of outcomes possible for independent and dependent events, and calculate the probabilities using organized lists or tree diagrams.
D.PR.08.05: Find and/or compare the theoretical probability, the experimental probability, and/or the relative frequency of a given event.
D.PR.08.06: Understand the difference between independent and dependent events, and recognize common misconceptions involving probability, e.g., Alice rolls a 6 on a die three times in a row; she is just as likely to roll a 6 on the fourth roll as she was on any previous roll.
Correlation last revised: 4/4/2018