Grade 8 Math

Completion: 0%

Exponents and Roots

8.EE.18.EE.2
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Square Numbers--
Cube Numbers--
Square and Cube Numbers--
Exponents of 2--
Exponents of 3--
Exponents with 0 and 1--
Find Missing Base in Square Numbers--
Find Missing Base in Cube Numbers--
Square Roots of Perfect Squares--
Cube Roots of Perfect Cubes--
Negative Exponents--
Product Rule (Same Base)--
Product Rule with a Negative Exponent--
Product Rule with a Variable Base--
Quotient Rule (Same Base)--
Quotient Rule with a Negative Result--
Quotient Rule with a Variable Base--
Power of a Power Rule--
Power Rule with a Negative Outer Exponent--
Power Rule with a Variable Base--

Radicals

8.EE.2HSN-RN.1HSN-RN.2
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Evaluate Square Roots--
Simplify Square Roots (Intro)--
Simplify Square Roots--
Multiply Radicals--
Divide Radicals--
Add and Subtract Radicals--
Add/Subtract Radicals (Simplify First)--
Mixed Radical Operations--
Evaluate Cube Roots--
Simplify Cube Roots--

Rational and Irrational Numbers

8.NS.18.NS.2
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Classify as Rational or Irrational--
Convert Terminating Decimal to Fraction--
Convert Repeating Decimal to Fraction--
Bracket an Irrational Between Two Integers--
Approximate to Nearest Integer--
Bracket an Irrational with Both Integers--

Scientific Notation

8.EE.38.EE.4
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Exponents of 10--
Convert Standard Form to Scientific Notation--
Convert Scientific Notation to Standard Form--
Compare Values in Scientific Notation--
Multiply Scientific Notation by Powers of Ten--
Scientific Notation with Small Numbers--
Add Numbers in Scientific Notation--
Subtract Numbers in Scientific Notation--
Multiply Numbers in Scientific Notation--
Divide Numbers in Scientific Notation--

Applying Exponent Laws

8.EE.1
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Exponent Laws in MDAS--
Power of a Power--
Radicals in MDAS--
Negative Exponents in MDAS--

Linear Equations

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Distributive Property Equations--
Equations with Variables on Both Sides--

Functions

8.F.18.F.28.F.38.F.48.EE.58.EE.6
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Find the Repeated Input (or OK)--
Evaluate a Linear Function--
Evaluate a Quadratic Function--
Exponent on x (Linear vs Nonlinear)--
Identify Slope from y = mx + b--
Identify y-intercept from y = mx + b--
Rate of Change from Coordinate Pairs--
Write Equation from Slope and y-intercept--
Slope from a Graph--
Identify Slope from Two Points--
Slope as a Unit Rate--
Compare Slopes Across Representations--
Slope from Standard Form--

Writing Linear Equations

8.EE.6HSA-CED.1HSA-CED.2
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Write Equation from Slope and Y-Intercept--
Write Equation from Slope and a Point--
Write Equation from Two Points--
Identify Slope and Y-Intercept from Equation--

Systems of Linear Equations

8.EE.8HSA-REI.6
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Substitute Into Both Equations--
Find the Intersection from Equations--
Solve a System by Setting Equal--
How Many Solutions?--

Transformations

8.G.18.G.28.G.3
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Translate a Triangle--
Reflect Across the x-axis--
Reflect Across the y-axis--
Rotate 90° Counterclockwise--
Rotate 90° Clockwise--
Rotate 180°--
Dilate from the Origin--
Identify the Transformation--
Mixed Rigid Transformations--

Pythagorean Theorem

8.G.68.G.78.G.8HSG-SRT.8
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Identify the Hypotenuse--
Square a Number--
Square Root of a Perfect Square--
Find the Hypotenuse--
Find the Missing Leg--
Identify Right Triangles--
Distance Between Two Points--
Diagonal of a Rectangular Box--
Pythagorean Theorem Mixed Practice--

Scatter Plots

8.SP.18.SP.28.SP.3
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Identify the Association--
Find the Outlier--
Slope from a Line of Best Fit--
y-intercept from a Line of Best Fit--
Predict a Value from the Model--

Bivariate Categorical Data

8.SP.4
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Read a Cell from a Two-Way Table--
Total a Row of a Two-Way Table--

Common Core Standards

NS — The Number System

Know that there are numbers that are not rational, and approximate them by rational numbers.
  • 8.NS.1Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
  • 8.NS.2Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.

EE — Expressions & Equations

Work with radicals and integer exponents.
  • 8.EE.1Know and apply the properties of integer exponents to generate equivalent numerical expressions.
  • 8.EE.2Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes.
  • 8.EE.3Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
  • 8.EE.4Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used.
Understand the connections between proportional relationships, lines, and linear equations.
  • 8.EE.5Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.
  • 8.EE.6Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
Analyze and solve linear equations and pairs of simultaneous linear equations.
  • 8.EE.7Solve linear equations in one variable.
  • 8.EE.8Analyze and solve pairs of simultaneous linear equations.

F — Functions

Define, evaluate, and compare functions.
  • 8.F.1Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
  • 8.F.2Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
  • 8.F.3Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.
Use functions to model relationships between quantities.
  • 8.F.4Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph.
  • 8.F.5Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

G — Geometry

Understand congruence and similarity using physical models, transparencies, or geometry software.
  • 8.G.1Verify experimentally the properties of rotations, reflections, and translations.
  • 8.G.2Understand 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; given two congruent figures, describe a sequence that exhibits the congruence between them.
  • 8.G.3Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
  • 8.G.4Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
  • 8.G.5Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
Understand and apply the Pythagorean Theorem.
  • 8.G.6Explain a proof of the Pythagorean Theorem and its converse.
  • 8.G.7Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
  • 8.G.8Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
  • 8.G.9Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

SP — Statistics & Probability

Investigate patterns of association in bivariate data.
  • 8.SP.1Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
  • 8.SP.2Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.
  • 8.SP.3Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.
  • 8.SP.4Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects.