8th Grade

Other South Dakota Mathematics sets

• Grade K
• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Algebra I
• Grades 9, 10, 11, 12
• Geometry
• Algebra II
• Pre-Calculus

 Graph proportional relationships, interpreting the rate of change as the slope of the graph.8.RF.1

Construct a function to model a linear relationship between two quantities.8.RF.2

Compare two different proportional relationships represented in different ways. 8.RF.3 

Explain how the slope m of a line is the same between any two points on a line. Types of slope include: positive, negative, zero (horizontal), and undefined (vertical)8.RF.4

Define a function as a rule where each input has exactly one output.8.RF.5

Understand the domain as the set of inputs allowed by the function.8.RF.6

Understand the range as the set of outputs produced by the function8.RF.7

Determine whether a relationship is a function given a table, graph, equation, or verbal description.8.RF.8

Compare properties of two functions represented in different ways including tables, graphs, equations, and verbal descriptions.8.RF.9

Determine whether a relationship is linear or nonlinear given a table, graph, equation, or verbal description.8.RF.10

Understand a linear function to be a relationship between two variables with a constant rate of change whose graph is a straight line on the coordinate plane and to have the equation y = mx + b, give examples of functions that are not linear. 8.RF.11

Explain how the rate of change and y-intercept describe the relationship between two quantities, using multiple representations to justify interpretations.8.RF.12

Explain how the rate of change (slope) and y-intercept (initial value) describe the relationship between two quantities, using multiple representations to justify interpretations8.RF.13

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear).8.RF.14

Identify linear equations in one variable with one solution, infinitely many solutions, or no solution.8.A.1

Solve linear equations with rational number coefficients using the distributive property and combining like terms.8.A.2

Analyze and solve one-variable linear inequalities with rational coefficients. 8.A.3

Understand a system of linear equations to be a set of two or more equations8.A.4

Determine whether an ordered pair is a solution to a system of two linear equations by substituting the values into both equations and explaining why the pair satisfies both.8.A.5

Analyze a system of two linear equations to determine whether it has one solution, infinitely many solutions, or no solution, and explain what each case means in terms of the graphs or equations.8.A.6

Analyze and solve systems of linear equations algebraically and estimate solutions by graphing the equation. 8.A.7

Solve real-world and mathematical problems involving leading to two linear equations in one and/or two variables.8.A.8

Explain the formulas for the volumes of cones, cylinders, and spheres and apply them to solve real-world and mathematical problems.8.G.1

Understand properties of interior and exterior angles in triangles (triangle sum theorem, exterior angle theorem).8.G.2

Understand and explain the relationships between angles when parallel lines are intersected by a transversal. 8.G.3

Identify, describe, and draw elements of triangles including base, height, leg, and hypotenuse.8.G.4

Explain the Pythagorean theorem and apply it to find unknown side lengths in right triangles.8.G.5

Explain the converse of the Pythagorean theorem and apply it to determine if a triangle is a right triangle.8.G.6

Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.8.G.7

Understand congruent figures to be geometric objects that have exactly the same size and shape.8.G.8

Understand similar figures to be geometric objects that have the same shape (congruent angles), but different sizes (proportional) sizes. 8.G.9

Understand a rigid transformation to be a change in location or orientation that generates a congruent shape by preserving distances between vertices.8.G.10

Identify, draw, and describe the three types of rigid transformations on two-dimensional figures: rotations, reflections, and translations.8.G.11

Identify, draw, and describe mathematical dilations on, two-dimensional figures, as non-rigid transformations that generate a similar shape8.G.12

Describe a sequence of rigid transformations that moves and aligns one congruent shape onto another.8.G.13

Understand and explain the angle-angle criterion for determining the similarity of triangles. 8.G.14

Construct and interpret scatter plots using bivariate data; determine if the data displays a linear or nonlinear pattern and describe the patterns as clustering, outliers, positive, negative, or no association.8.SP.1

Construct a line of fit to approximately fit data displaying a linear association when presented in scatter plot.8.SP.2

Construct and interpret a relative frequency table. 8.SP.3