Download 8th Grade Standard Reference Code 8th Grade Purpose Students

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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