GRADE LEVEL CONTENT EXPECTATIONS by Unit.
N.MR.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, inverse
functions, cubics, roots, and exponentials, using tables, graphs, and equations.
A.PA.08.02 - For basic functions, describe how changes in one variable affect the other variable.
A.RP.08.04 - Use the vertical line test to determine if a graph represents a function in one variable.
A.FO.08.10 - Understand that to solve the equation f(x) = g(x) means to find all values of x for which the equation is true, e.g., determine whether a given value, or values from a given set, is a solution of an equation.
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 infinite solutions. (Point of Intersection)
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.
N.MR.08.07 - 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 the volume of a cube.
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 form of common repeating decimals.
N.ME.08.04 - Understand that irrational numbers are those that cannot be expressed as a quotient of two integers, and cannot be represented by terminating or repeating decimals; approximate the position of familiar rational numbers on a 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 consecutive integers.
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.08.04 - Find the perimeter and area of complex figures by subdividing them into basic shapes such as triangles, rectangles, etc.
G.SR.08.05 - Solve applied problems involving areas of triangles, quadrilaterals, and circles.
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.08.05 - Solve applied problems involving areas of triangles, quadrilaterals, and circles.
G.SR.08.06 - Know the volume formulas for generalized cylinders, generalized cones, pyramids, spheres, 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.08.08
- Sketch a variety
of two-dimensional representations of three dimensional
solids including orthogonal views (top, front, side), picture views (projective or isometric), and nets, use such two dimensional representations to help solve problems.
N.MR.08.07 - 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 the volume of a cube.
Kaleidoscopes, Hubcaps,
& Mirrors (Geometrical
Symmetry)
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.
N.ME.08.02 - Understand zero and negative number exponents.
N.MR.08.07 - Understand percent increase and decrease in both sum and product form.
N.MR.08.08 - Solve problems solving percent increases and decreases.
N.FL.08.09 - Solve problems involving compound interest or multiple discounts.
A.RP.08.01 - Identify and represent linear functions, quadratic functions, inverse
functions, cubics, roots, and exponentials, using tables, graphs, and equations.
A.PA.08.02 - For basic functions, describe how changes in one variable affect the other variable.
N.MR.08.07 - 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 the volume of a cube.
A.RP.08.01 - Identify and represent linear functions, quadratic functions, inverse
functions, cubics, roots, and exponentials, using tables, graphs, and equations.
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 equation.
A.RP.08.06 - Graph factorable quadratic equations; 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 with –1.
A.FO.08.07 - Recognize and apply the common formulas. (Factor the difference of two squares, FOIL method.)
A.FO.08.08 - Factor simple quadratic equations with integer coefficients; verify solutions by evaluation.
A.FO.08.09 - Solve applied problems involving simple quadratic equations.
A.FO.08.10 - Understand that to solve the equation f(x) = g(x) means to find all values of x for which the equation is true, e.g., determine whether a given value, or values from a given set, is a solution of an equation.
Say It With
Symbols (Algebraic
Expressions)
N.MR.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, inverse
functions, cubics, roots, and exponentials, using tables, graphs and equations.
A.RP.08.04 - Use the vertical line test to determine if a graph represents a function in one variable.
A.FO.08.07 - Recognize and apply the common formulas. (Factor the difference of two squares, FOIL method.)
A.FO.08.08 - Factor simple quadratic equations with integer coefficients; verify solutions by evaluation.
A.FO.08.09 - Solve applied problems involving simple quadratic equations.
A.FO.08.10 - Understand that to solve the equation f(x) = g(x) means to find all values of x for which the equation is true, e.g., determine whether a given value, or values from a given set, is a solution of an equation.
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 infinite solutions. (Point of Intersection)
G.SR.08.05 - Solve applied problems involving areas of triangles, quadrilaterals, and circles.
Samples & Populations (Data Organization & Analysis)
D.AN.08.01 - Determine which measure of central tendency (mean, median, mode) best represents a data set for answering certain questions; justify the choice made.
D.AN.08.02 - Recognize practices of collecting and displaying data that may bias the presentation or analysis.
D.PR.08.03 - Compute relative frequencies from a table of experimental results for a repeated event, and be able to answer questions about the result, using relationship of probability to relative frequency.
D.PR.08.05 - Understand the relationship of probability to relative frequency.
D.PR.08.06 -
Understand the difference between independent and dependent events, and
recognize common misconceptions involving probability.
D.AN.08.07 -
Compute relative frequencies from a table of experimental results for a
repeated event; understand the relationship of experimental probability to
relative frequency; answer questions regarding results.
Clever Counting (Combinatorics)
D.PR.08.04 - Apply the “Basic Counting Principle” to find the total number of outcomes possible for independent and dependent events, and calculate the probabilities using organized lists or tree diagrams.
Other Content Expectations
N.FL.08.05 - Estimate and solve problems with square roots and cube roots using calculators.
N.MR.08.11 - Calculate weighted averages such as course grades, consumer price indices, and sports ratings.
A.RP.08.01 -
Identify and represent linear functions, quadratic functions, inverse
functions, cubics, roots, and exponentials, using tables, graphs, and equations.
A.PA.08.03 - Recognize basic functions in problem context, e.g. circle area = pr2 , volume of a sphere = 4/3 pr3 , and represent them using tables, graphs, and equations.
A.RP.08.04 - Use the vertical line test to determine if a graph represents a function in one variable.
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.SR.08.08 - Sketch a variety of two-dimensional representations of three dimensional
solids including orthogonal views (top, front, side), picture views (projective or isometric), and nets, use such two dimensional representations to help solve problems.