Utah Common Core Standards for Eighth Grade Math

Applications of percent
Worksheets: 4Study Guides: 1
Experimental Probability
FreeExperimental probability is the probability that a certain outcome will occur based on an experiment being performed multiple times. Probability word problems worksheets. Read more...iWorksheets: 3Study Guides: 1
Numbers and percents
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Perimeter and area
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Plane figures
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Sequences
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Theoretical probability and counting
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UT.CC.EE.8. Expressions and Equations

Analyze and solve linear equations and pairs of simultaneous linear equations.

EE.8.7. Solve linear equations in one variable.
EE.8.7(a) Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
Introduction to Algebra
Worksheets :3Study Guides :1
Equations and Inequalities
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Using Integers
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Decimal Operations
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Fraction Operations
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Introduction to Percent
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Algebraic Equations
What are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read more...iWorksheets :4Study Guides :1
Equations and inequalities
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Integer operations
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Rational numbers and operations
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Solving linear equations
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Solving equations and inequalities
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EE.8.7(b) Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
Introduction to Algebra
Worksheets :3Study Guides :1
Equations and Inequalities
Worksheets :5Study Guides :1
Using Integers
Worksheets :4Study Guides :1
Decimal Operations
Worksheets :3Study Guides :1
Fraction Operations
Worksheets :3Study Guides :1
Introduction to Percent
Worksheets :4Study Guides :1
Algebraic Equations
What are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read more...iWorksheets :4Study Guides :1
Equations and inequalities
Worksheets :3Study Guides :1
Integer operations
Worksheets :4Study Guides :1
Rational numbers and operations
Worksheets :3Study Guides :1
Solving linear equations
Worksheets :5Study Guides :1
Solving equations and inequalities
Worksheets :3Study Guides :1

Understand the connections between proportional relationships, lines, and linear equations.

EE.8.5. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
Introduction to Functions
Worksheets :5Study Guides :1
Linear equations
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EE.8.6. Use 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.
Introduction to Functions
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Linear equations
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Work with radicals and integer exponents.

EE.8.1. Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3^2 x 3^-5 = 3^-3 = 1/3^3 = 1/27.
Exponents, Factors and Fractions
Worksheets :4Study Guides :1
Polynomials and Exponents
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EE.8.2. Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that square root of 2 is irrational.
Rational and Irrational Numbers
A rational number is a number that can be made into a fraction. Decimals that repeat or terminate are rational because they can be changed into fractions. Read more...iWorksheets :3Study Guides :1
The Pythagorean Theorem
Pythagorean Theorem is a fundamental relation in Euclidean geometry. Use the Pythagorean Theorem and its converse to solve problems. Determine the distance between two points using the Pythagorean Theorem. Read more...iWorksheets :4Study Guides :1
Real numbers
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EE.8.3. Use numbers expressed in the form of a single digit times a whole-number power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 times 10^8 and the population of the world as 7 times 10^9, and determine that the world population is more than 20 times larger.
Exponents, Factors and Fractions
Worksheets :4Study Guides :1
Polynomials and Exponents
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EE.8.4. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
Exponents, Factors and Fractions
Worksheets :4Study Guides :1
Polynomials and Exponents
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UT.CC.F.8. Functions

Define, evaluate, and compare functions.

F.8.1. Understand 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.
Introduction to Functions
Worksheets :5Study Guides :1
Functions
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F.8.3. Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s^2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Linear equations
Worksheets :3Study Guides :1

Use functions to model relationships between quantities.

F.8.4. Construct 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. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Introduction to Functions
Worksheets :5Study Guides :1
Linear equations
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UT.CC.G.8. Geometry

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

G.8.9. Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
Finding Volume
Volume measures the amount a solid figure can hold. Volume is measured in terms of cubed units and can be measured in inches, feet, meters, centimeters, and millimeters. Read more...iWorksheets :4Study Guides :1
Three dimensional geometry/Measurement
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Understand and apply the Pythagorean Theorem.

G.8.7. Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
The Pythagorean Theorem
Pythagorean Theorem is a fundamental relation in Euclidean geometry. Use the Pythagorean Theorem and its converse to solve problems. Determine the distance between two points using the Pythagorean Theorem. Read more...iWorksheets :4Study Guides :1

Understand congruence and similarity using physical models, transparencies, or geometry software.

G.8.1. Verify experimentally the properties of rotations, reflections, and translations:
G.8.1(a) Lines are taken to lines, and line segments to line segments of the same length.
Geometric Proportions
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Plane Figures: Closed Figure Relationships
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Patterns in geometry
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Ratios, proportions and percents
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Similarity and scale
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G.8.1(b) Angles are taken to angles of the same measure.
Geometric Proportions
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Plane Figures: Closed Figure Relationships
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Patterns in geometry
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Ratios, proportions and percents
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Similarity and scale
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G.8.1(c) Parallel lines are taken to parallel lines.
Geometric Proportions
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Plane Figures: Closed Figure Relationships
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Patterns in geometry
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Ratios, proportions and percents
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Similarity and scale
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G.8.2. 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; given two congruent figures, describe a sequence that exhibits the congruence between them.
Plane Figures: Lines and Angles
Plane figures in regards to lines and angles refer to the coordinate plane and the various lines and angles within the coordinate plane. Lines in a coordinate plane can be parallel or perpendicular. Read more...iWorksheets :3Study Guides :1
Plane Figures: Closed Figure Relationships
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Patterns in geometry
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UT.CC.MP.8. Mathematical Practices

MP.8.1. Make sense of problems and persevere in solving them.

Mathematical processes
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MP.8.2. Reason abstractly and quantitatively.

Mathematical processes
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UT.CC.NS.8. The Number System

Know that there are numbers that are not rational, and approximate them by rational numbers.

NS.8.1. Know 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.
Rational and Irrational Numbers
A rational number is a number that can be made into a fraction. Decimals that repeat or terminate are rational because they can be changed into fractions. Read more...iWorksheets :3Study Guides :1

UT.CC.SP.8. Statistics and Probability

Investigate patterns of association in bivariate data.

SP.8.1. Construct 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.
Analyzing, Graphing and Displaying Data
Worksheets :3Study Guides :1
Using graphs to analyze data
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Collecting and describing data
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Displaying data
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SP.8.2. Know 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.
Linear relationships
Worksheets :3Study Guides :1

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