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Transcript
8th Grade Standard Reference Code NS EE F G SP The Number System Expressions & Equations Functions Geometry Statistics & Probability STANDARD REFERENCE 8th Grade Purpose Students will utilize the Rule of 4 (table, graph, verbal explanation, and algebraic representation) to communicate relationships, including rates, slope, transformations and statistical probability. Students will classify and graph rational and irrational numbers, evaluate or approximate irrational numbers. Classify numbers as rational or irrational Evaluate or approximate square and cube roots Apply square and cube roots to area and volume Graph and order rational and irrational numbers Unit Outcome MA.8.2 MA.8.2.1 MA.8.2.2 Students will Evaluate and simplify expressions using properties of integer exponents. Convert between scientific notation and standard notation. Use the properties of integer exponents to generate equivalent numerical expressions (simplify using laws of exponents) Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Apply the properties of exponents to simplify expressions using more than one variable (or base), to include negative exponents and multi-step simplification Components Components Unit Outcome MA.8.1 MA.8.1.1 MA.8.1.2 MA.8.1.3 MA.8.1.4 MA.8.2.3 MA.8.2.4 Unit Outcome MA.8.3 Components MA.8.3.1 MA.8.3.2 MA.8.3.3 MA.8.3.4 Students will Use properties of triangles and polygons to solve problems (including the Pythagorean Theorem, similarity, and congruence) Apply the Pythagorean Theorem to determine unknown side lengths in right triangles and the distances between points in the coordinate system Use the properties of transversals to find missing angle measures Solve equations with variable on both sides Solve equations with one, infinitely many, or no solutions 8.NS.1 8.NS.2 8.NS.2 8.NS.2 8.EE.3 8.EE.A.1 8.EE.A.4 8.EE.A.1 8.G.B.7-8 8.G.A.5 8.EE.7b 8.EE.7a Unit Outcome MA.8.4 Components MA.8.4.1 MA.8.4.2 MA.8.4.3 MA.8.4.4 Unit Outcome MA.8.5 Components MA.8.5.1 MA.8.5.2 MA.8.5.3 MA.8.5.4 Components Unit Outcome MA.8.6 MA.8.6.1 MA.8.6.2 MA.8.6.3 Components Unit Outcome MA.8.7 MA.8.7.1 MA.8.7.2 MA.8.7.3 Students will use properties of triangles and polygons to solve problems (including the Pythagorean Theorem, similarity, and congruence) Apply the Pythagorean Theorem to determine unknown side lengths in right triangles and the distances between points in the coordinate system Use the properties of transversals to find missing angle measures Use properties of triangles and other polygons to find missing interior and exterior measures Use proportional relationships to solve problems involving similar figures 8.G.B.7-8 8.G.A.5 8.G.A.5 8.G.A.5 Students will solve real world and mathematical problems involving volume of cylinders, cones, and spheres. Use the formula for volume of a cone to solve real-world and mathematical problems Use the formula for volume of a cylinder to solve real-world and mathematical problems Use the formula for volume of a sphere to solve real-world and mathematical problems Apply properties of cones, cylinders, and spheres (including surface area, volume, or similar solids) to draw conclusions about situational questions Students will apply transformations to figures in the coordinate plane. Perform congruent transformations and given two congruent figures, describe a sequence that exhibits the congruence between them Describe the rule between preimage and image and name corresponding parts of congruent figures Perform similar transformations. Given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them Students will write, Graph and manipulate linear equations to solve problems. Find the rate of change (slope) between points using the formula and by looking at a graph Graph linear equations given various information including using slope intercept form, given two points, or by finding x and y intercepts (standard form) Given a graph, determine key parts of the line including writing the equation for the line (including finding intercepts) 8.G.C.9 8.G.C.9 8.G.C.9 8.G.C 8.G.A.2 8.G.A.3 8.G.A.4 8.EE.B.5 8.EE.B.5 8.EE.B Components Unit Outcome MA.8.8 MA.8.8.1 MA.8.8.2 MA.8.8.3 MA.8.8.4 Unit Outcome MA.8.9 Components MA.8.9.1 MA.8.9.2 MA.8.9.3 MA.8.9.4 Components Unit Outcome MA.8.10 MA.8.10.1 MA.8.10.2 MA.8.10.3 MA.8.10.4 MA.8.10.5 Students will analyze and solve simultaneous pairs of linear equations. Solve systems of linear equations by graphing Solve systems of linear equations by substitution Solve systems of linear equations by elimination Interpret the solution to a system of two linear equations in two variables as the point of intersection of their graphs, as no solution, or infinitely many solutions 8.EE.C.8b 8.EE.C.8b 8.EE.C.8b 8.EE.C.8a Students will define, evaluate, and compare functions and use functions to model relationships between quantities. Determine if a relation is a function given a graph, relation, table, or other representations Graph functions from an equation or a table Write and evaluate functions using function notation Describe where function are increasing, decreasing, or are linear or nonlinear 8.F.A.1 8.F.B.4 8.F.B.4 8.F.B.5 Students will interpret, describe, and construct data displays. Construct and interpret 2 way tables and histograms 8.SP.A.4 Construct and interpret scatter plots Describe the correlation of two variables on a scatter plot Draw a reasonable line of best fit and find its equation using slope intercept form. Interpret slope and intercepts of bivariate data. 8.SP.A.1 8.SP.A.1 8.SP.A.3 8.SP.A.3