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8Grade 8 Standards
Top Mathematicians
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Algebraic Reasoning & Algebra
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8.A.1.1
Recognize that a function is a relationship between an independent variable and a dependent variable in which the value of the independent variable determines the value of the dependent variable.
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8.A.1.2
Use linear functions to represent and explain real-world and mathematical situations.
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8.27Find the Proportional Relationship15
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8.28Write a Rule for a Function Table10
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8.29Linear Function with Intercepts10
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8.30Algebra: Linear Function10
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8.A.1.3
Identify a function as linear if it can be expressed in the form y = mx + b or if its graph is a straight line.
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8.31Find Slope from an Equation10
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8.32Graph Linear Functions15
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8.33Graph a Line Using Slope10
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8.34Graph a Line from an Equation Using Algebra10
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8.35Identify Linear and Nonlinear Functions5
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8.A.2.1
Represent linear functions with tables, verbal descriptions, symbols, and graphs; translate from one representation to another.
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8.36Graph a Line from an Equation10
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8.37Complete a Function Table10
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8.38Find Points on a Function Graph5
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8.27Find the Proportional Relationship15
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8.28Write a Rule for a Function Table10
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8.32Graph Linear Functions15
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8.33Graph a Line Using Slope10
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8.34Graph a Line from an Equation Using Algebra10
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8.A.2.2
Identify, describe, and analyze linear relationships between two variables.
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8.38Find Points on a Function Graph5
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8.39Find Slope from Two Points15
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8.40Algebra: Linear Function with Intercepts10
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8.41Rate of Change10
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8.42Constant Rate of Change5
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8.43Find the Constant of Variation Graphs5
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8.31Find Slope from an Equation10
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8.A.2.3
Identify graphical properties of linear functions including slope and intercepts. Know that the slope equals the rate of change, and that the y-intercept is zero when the function represents a proportional relationship.
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8.38Find Points on a Function Graph5
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8.42Constant Rate of Change5
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8.43Find the Constant of Variation Graphs5
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8.44Graph a Proportional Relationship5
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8.32Graph Linear Functions15
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8.45Find the Slope of a Graph10
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8.33Graph a Line Using Slope10
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8.A.2.4
Predict the effect on the graph of a linear function when the slope or y-intercept changes. Use appropriate tools to examine these effects.
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8.36Graph a Line from an Equation10
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8.37Complete a Function Table10
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8.34Graph a Line from an Equation Using Algebra10
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8.A.2.5
Solve problems involving linear functions and interpret results in the original context.
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8.38Find Points on a Function Graph5
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8.29Linear Function with Intercepts10
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8.30Algebra: Linear Function10
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8.A.3.1
Use substitution to simplify and evaluate algebraic expressions.
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8.46Order of Operations5
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8.47Simplify Expressions Involving Integers20
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8.48Evaluate Expressions Involving Integers20
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8.49Evaluate Variable Expressions with Decimals and Fractions5
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8.50Solve Two-Step Linear Equations5
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8.51Solve One-Step Linear Equations5
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8.52Evaluate Multi-Variable Expressions15
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8.53Evaluate Variable Expressions with Squares and Square Roots10
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8.54Solve Two-Step Linear Equations5
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8.55Solve One-Step Linear Equations5
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8.56Solve Multi Step Equations5
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8.2Evaluate Exponents10
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8.3Exponents: Solve for the Variable10
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8.A.3.2
Justify steps in generating equivalent expressions by identifying the properties used, including the properties of operations (associative, commutative, and distributive laws) and the order of operations, including grouping symbols.
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8.A.4.1
Illustrate, write, and solve mathematical and real-world problems using linear equations with one variable with one solution, infinitely many solutions, or no solutions. Interpret solutions in the original context.
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8.63Identify Proportional Relationships5
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8.64Evaluate Variable Expressions with Whole Numbers5
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8.65Model and Solve Equations Using Algebra Tiles5
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8.67Solve Equations Involving Like Terms10
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8.52Evaluate Multi-Variable Expressions15
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8.54Solve Two-Step Linear Equations5
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8.55Solve One-Step Linear Equations5
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8.56Solve Multi Step Equations5
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8.27Find the Proportional Relationship15
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8.A.4.2
Represent, write, solve, and graph problems leading to linear inequalities with one variable in the form px + q > r and px + q < r, where p, q, and r are rational numbers.
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8.50Solve Two-Step Linear Equations5
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8.51Solve One-Step Linear Equations5
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8.68Variable Inequalities10
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8.69Solutions to Variable Inequalities10
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8.71Solve One-Step Linear Inequalities5
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8.73Solve Two-Step Linear Inequalities15
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8.A.4.3
Represent real-world situations using equations and inequalities involving one variable.
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8.40Algebra: Linear Function with Intercepts10
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8.29Linear Function with Intercepts10
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8.30Algebra: Linear Function10
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8.75Proportional Relationships15
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8.76Multi-Step15
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8.77Guess and Check10
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8.A.1.1
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Data & Probability
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8.D.1.1
Describe the impact that inserting or deleting a data point has on the mean and the median of a data set. Know how to create data displays using a spreadsheet and use a calculator to examine this impact.
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8.87Changes in Median5
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8.88Changes in Mean, Median, Mode, and Range5
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8.89Changes in Mode5
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8.90Changes in Range5
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8.91Changes in Mean5
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8.D.1.2
Explain how outliers affect measures of central tendency.
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8.D.1.3
Collect, display and interpret data using scatterplots. Use the shape of the scatterplot to informally estimate a line of best fit, make statements about average rate of change, and make predictions about values not in the original data set. Use appropriate titles, labels and units.
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8.92Scatter Plots5
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8.D.2.1
Calculate experimental probabilities and represent them as percents, fractions and decimals between 0 and 1 inclusive. Use experimental probabilities to make predictions when actual probabilities are unknown.
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8.93Experimental Probability15
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8.94Probability Problems5
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8.95Making Predictions5
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8.96Prediction Problems5
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8.D.2.2
Determine how samples are chosen (random, limited, biased) to draw and support conclusions about generalizing a sample to a population.
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8.97Identify Biased Samples5
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8.98Identify Representative Samples5
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8.99Identify Representative, Random, and Biased Samples5
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8.100Identify Random Samples5
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8.D.2.3
Compare and contrast dependent and independent events.
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8.D.1.1
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Geometry & Measurement
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8.GM.1.1
Informally justify the Pythagorean Theorem using measurements, diagrams, or dynamic software and use the Pythagorean Theorem to solve problems in two and three dimensions involving right triangles.
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8.GM.1.2
Use the Pythagorean Theorem to find the distance between any two points in a coordinate plane.
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8.GM.2.1
Calculate the surface area of a rectangular prism using decomposition or nets. Use appropriate measurements such as cm².
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8.GM.2.2
Calculate the surface area of a cylinder, in terms of π and using approximations for π, using decomposition or nets. Use appropriate measurements such as cm².
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8.GM.2.3
Develop and use the formulas V = lwh and V = Bh to determine the volume of rectangular prisms. Justify why base area (B) and height (h) are multiplied to find the volume of a rectangular prism. Use appropriate measurements such as cm³.
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8.GM.2.4
Develop and use the formulas V = π²h and V = Bh to determine the volume of right cylinders, in terms of π and using approximations for π. Justify why base area (B) and height (h) are multiplied to find the volume of a right cylinder. Use appropriate measurements such as cm³.
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8.GM.1.1
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Number & Operations
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8.N.1.1
Develop and apply the properties of integer exponents, including a&sup0; = 1 (with a ≠ 0), to generate equivalent numerical and algebraic expressions.
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8.1Understanding Exponents10
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8.2Evaluate Exponents10
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8.3Exponents: Solve for the Variable10
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8.4Exponents with Negative Bases10
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8.5Exponents with Decimal and Fractional Bases15
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8.6Understanding Negative Exponents5
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8.7Evaluate Negative Exponents10
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8.8Multiplication with Exponents10
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8.9Division with Exponents10
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8.10Multiplication and Division with Exponents10
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8.11Power Rule5
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8.12Simplify Expressions Involving Exponents5
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8.N.1.2
Express and compare approximations of very large and very small numbers using scientific notation.
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8.N.1.3
Multiply and divide numbers expressed in scientific notation, express the answer in scientific notation.
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8.N.1.4
Classify real numbers as rational or irrational. Explain why the rational number system is closed under addition and multiplication and why the irrational system is not. Explain why the sum of a rational number and an irrational number is irrational; and the product of a non-zero rational number and an irrational number is irrational.
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8.18Classify Numbers5
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8.19Identify Rational and Irrational Numbers5
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8.N.1.5
Compare real numbers; locate real numbers on a number line. Identify the square root of a perfect square to 400 or, if it is not a perfect square root, locate it as an irrational number between two consecutive positive integers.
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8.21Absolute Value and Opposite Integers20
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8.22Put Rational Numbers in Order15
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8.23Compare Rational Numbers20
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8.24Square Roots of Perfect Squares5
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8.25Positive and Negative Square Roots10
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8.26Estimate Positive and Negative Square Roots10
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8.N.1.1