BPS District Mathematics Standards Book
Completion requirements
K-8 Grade Levels
Grade 08
MAT Standards Domains
(NO)
(AR)
(GM)
(DPS)
Note: Standards Identifiers auto-link to popup a detailed description with "I can ..." and Proficiency Scales.
Prioritized Standards Identifiers are highlighted a sky-blue.
Prioritized Standards Identifiers are highlighted a sky-blue.
MAT-08.NO (NO) Number and Operations
- MAT-08.NO.NS.01 Compare and classify real numbers within the real number system.
- MAT-08.NO.NS.02 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them on a number line diagram, and estimate the value of irrational expressions involving one operation.*
- MAT-08.NO.NS.03 Use scientific notation to represent very large or very small quantities. Interpret scientific notation generated by technology. Compare and order numbers in both scientific and standard notation.
- MAT-08.NO.O.01 Evaluate mentally the square roots of perfect squares up to 225 and cube roots of perfect cubes up to 1000.
- MAT-08.NO.O.02 Add, subtract, multiply, and divide rational numbers using strategies or procedures.*
MAT-08.AR (AR) Algebraic Reasoning
- MAT-08.AR.EE.01 Explain the relationship between repeated multiplication and the properties of integer exponents. Apply a single exponent property to generate equivalent numeric and algebraic expressions that include numerical coefficients.*
- MAT-08.AR.EE.02 Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a non-negative rational number.
- MAT-08.AR.EE.03 Explain the characteristics of a linear relationship, including identifying the slope and y- intercept in tables, graphs, equations, and descriptions.*
- MAT-08.AR.EE.04 Represent linear relationships using tables, graphs, equations, and descriptions when given a relationship in one of these forms.
- MAT-08.AR.EE.05 Solve linear equations with rational number coefficients and variables on both sides, including equations that require using the distributive property and/or combining and collecting like terms. Interpret the number of solutions. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions.*
- MAT-08.AR.EE.06 Read, write, and evaluate numerical and algebraic expressions including expressions involving absolute value. Solve and graph equations of the form |x|=r where r is a nonnegative rational number.
- MAT-08.AR.EE.07 Solve and graph inequalities in one variable with rational number coefficients and variables on both sides, including inequalities that require using the distributive property and/or combining like terms.*
- MAT-08.AR.EE.08 Graph linear inequalities in two variables on a coordinate plane. Interpret the possible solutions in the context of authentic problems.
- MAT-08.AR.F.01 Defend whether a relation is a function from various representations using appropriate function language.*
- MAT-08.AR.F.02 Compare and contrast properties of two linear functions, each represented in a different way(algebraically, graphically, numerically in tables, and/or by descriptions).
- MAT-08.AR.F.03 Compare and contrast linear and non- linear functions represented in different ways(algebraically, graphically, numerically in tables,and/or by descriptions).*
- MAT-08.AR.F.04 Model a linear function between two quantities by creating a table, graph, and equation. Interpret the rate of change and initial value of a linear function in terms of the situation it models.*
- MAT-08.AR.F.05 Describe qualitatively the functional relationship between two quantities by analyzing a graph including where the function is constant,increasing, or decreasing; linear or nonlinear; and discrete or continuous. Create a graph that exhibits the qualitative features of a function described.
MAT-08.GM (GM) Geometry
- MAT-08.GM.AV.01 Apply given formulas to solve problems involving the volume of cones, cylinders, and spheres, including authentic problems.*
- MAT-08.GM.GF.01 Perform single transformations to a figure on the coordinate plane and determine whether the figures are congruent or similar.
- MAT-08.GM.GF.02 Describe the characteristics of transformations on the coordinate plane using transformation language.
- MAT-08.GM.GF.03 Name the type of transformation(s)needed to map a pre-image to its image.
- MAT-08.GM.GF.04 Describe the following angle-pair relationships: interior and exterior angles of triangles and angles formed when a transversal cuts parallel lines or intersecting lines. Solve for an unknown angle in a figure by applying facts about these angles.*
- MAT-08.GM.GF.05 Describe the relationship between the leg lengths and the hypotenuse length of a right triangle. Determine whether a triangle is a right triangle using this relationship.
- MAT-08.GM.GF.06 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in two and three dimensions on and off a coordinate plane, including authentic problems.*
MAT-08.DPS (DPS) Data Probability and Statistics
- MAT-08.DPS.DA.01 Interpret scatter plots for bivariate measurement data to investigate patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.*
- MAT-08.DPS.DA.02 Draw an informal trend line on a given scatter plot with a linear association and justify its fit by describing the closeness of the data points to the line.
- MAT-08.DPS.DA.03 Solve authentic problems in the context of bivariate measurement data by interpreting the slope and intercept(s) and making predictions using a linear model.
- MAT-08.DPS.DA.04 Construct and interpret a two-way table summarizing bivariate categorical data collected from the same subjects.