Common Core Math
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Common Core Math - Grade 8
Common Core Math - Grade 8
8 standards · 0 with slides
I
The Number System
Know that there are numbers that are not rational, and approximate them by rational numbers
1
Know that numbers that are not rational are called irrational
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2
Use rational approximations of irrational numbers
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II
Expressions and Equations
Work with radicals and integer exponents
1
Know and apply the properties of integer exponents
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2
Use square root and cube root symbols to represent solutions to equations
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3
Use numbers expressed in scientific notation to estimate very large or very small quantities
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4
Perform operations with numbers expressed in scientific notation
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Understand the connections between proportional relationships, lines, and linear equations
1
Graph proportional relationships, interpreting the unit rate as the slope
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2
Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line
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Analyze and solve linear equations and pairs of simultaneous linear equations
1
Solve linear equations in one variable
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2
Analyze and solve pairs of simultaneous linear equations
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III
Functions
Define, evaluate, and compare functions
1
Understand that a function is a rule that assigns to each input exactly one output
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2
Compare properties of two functions each represented in a different way
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3
Interpret the equation y = mx + b as defining a linear function
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Use functions to model relationships between quantities
1
Construct a function to model a linear relationship between two quantities
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2
Describe qualitatively the functional relationship between two quantities by analyzing a graph
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IV
Geometry
Understand congruence and similarity using physical models, transparencies, or geometry software
1
Verify experimentally the properties of rotations, reflections, and translations
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2
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations
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3
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates
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4
Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, and dilations
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5
Use informal arguments to establish facts about angles and similarity of triangles
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Understand and apply the Pythagorean Theorem
1
Explain a proof of the Pythagorean Theorem and its converse
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2
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles
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3
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system
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Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres
1
Know the formulas for the volumes of cones, cylinders, and spheres
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V
Statistics and Probability
Investigate patterns of association in bivariate data
1
Construct and interpret scatter plots for bivariate measurement data
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2
Know that straight lines are widely used to model relationships between two quantitative variables
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3
Use the equation of a linear model to solve problems in the context of bivariate measurement data
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4
Understand that patterns of association can also be seen in bivariate categorical data
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