Download 8th Grade Math

Phelps County R-III School District
Power Standards Development Guide
Content Area: Math Grade Level: 8
Power Standard #1
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Know that there are numbers that are not rational, and approximate
them by rational numbers.
E
The
Number
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Supporting Standards
8.NS.1 – Understand and Classify Rational and
Irrational Numbers; Decimal Expansion
8.NS.2 – Estimate Values of and Compare Irrational
Numbers; Locate Approximations of Irrational
Numbers on a Number Line
Power Standard #2
Strand
(drives content, instruction, and assessment)
Understand that expressions and equations work with radicals and
integer exponents.
Expressions
&
Equations
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Supporting Standards
8.EE.1 – Powers and Exponents
-Monomials (Multiplying & Dividing with Properties of
Exponents)
-Negative Exponents
8.EE.2 –Square & Cube Roots (Perfect & Non-Perfect)
-Compare Real Numbers
8.EE.3/4 – Scientific Notation (Compare Quantities,
Write and Perform Operations in Scientific Notation)
Power Standard #3
Strand
(drives content, instruction, and assessment)
Understand the connections between proportional relationships,
lines, and linear equations.
Expressions
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Supporting Standards
8.EE.5 – Proportional Relationships (Constant Rate of
Change and Slope)
8.EE.6/8 – Write and Graph Linear Equations (Y=MX,
Slope-Intercept Form, Point-Slope Form, and Using
Intercepts
Power Standard #4
Strand
(drives content, instruction, and assessment)
Analyze and solve linear equations and pairs of simultaneous linear
equations.
Expressions
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Equations
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Supporting Standards
8.EE.7 – Solve Equations with Rational Coefficients
-Solve and Write 2-Step Equations
-Solve Equations with Variables on Each Side
-Solve Multi-Step Equations
8.EE.8 – Solve Systems of Equations by Graphing
-Solve Systems of Equations Algebraically
8.F.4 – Translate Tables, Graphs, and Situations into
Linear Equations
Assessment
Power Standard #5
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Endurance
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Define, evaluate, and compare functions.
Functions
Supporting Standards
8.F.1 – Relations (Represent Domain and Range)
8.F.2/4 – Compare Two Functions (Rates of Change
and Initial Value)
8.F.1/4 – Functions (Find Values and Complete
Tables)
8.F.5 – Linear vs. Nonlinear Functions (Tables, Graphs,
Situations)
Power Standard #6
Strand
(drives content, instruction, and assessment)
Use functions to model relationships between quantities.
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Functions
Supporting Standards
8.F.5 – Quadratic Functions (Recognize Properties,
Graph after Calculating Values Given a Function)
8.F.1/3/4 – Linear Functions (Tables, Graphs,
Continuous vs. Discrete Data)
8.F.5 – Qualitative Graphs (Describe, Sketch, and
Compare Graphs)
Assessment
Power Standard #7
Strand
(drives content, instruction, and assessment)
Understand congruence and similarity using physical models,
transparencies, or geometry software.
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Geometry
Supporting Standards
8.G.1/3 – Transformations (Translations, Reflections,
Rotations, and Dilations)
8.G.1/2 – Congruence and Transformations
8.G.5 – Types of Lines
-Angles and Triangles
-Polygons and Angles
8.G.6 – Geometric Proofs
Power Standard #8
Strand
(drives content, instruction, and assessment)
Understand and apply the Pythagorean Theorem.
Endurance
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Readiness
8.G.4/5 – Similarity and Transformations
– Similar Polygons and Triangles
-Area and Perimeter of Similar Figures
Assessment
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Geometry
Supporting Standards
8.G.7/8/8.EE.2 – The Pythagorean Theorem (Proofs, Use to Find Unknown Lengths, Find Distance on a Coordinate Plane)
Power Standard #9
Strand
(drives content, instruction, and assessment)
Solve real-world and mathematical problems involving volume of
cylinders, cones, and spheres.
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Geometry
Supporting Standards
8.G.9 – Volume (Cylinders, Cones, and Spheres)
-Nets and Surface Area (Cylinders and Cones)
-Changes in Dimensions of Figures
Power Standard #10
Strand
(drives content, instruction, and assessment)
Investigate patterns of association in bivariate data.
Statistics &
Probability
Endurance
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Supporting Standards
8.SP.1 – Descriptive Statistics (Measures of Center and
Variation, Analyze Data Distributions)
8.SP.1/2/3 – Scatter Plots (Plotting Data, Identifying
Lines of Best Fit, Writing Equations of Lines of Best
Fit, Introduction to Graphing Technology)
8.SP.4 – Two-Way Tables (Read, Create, and Analyze)