Worksheets: 4Study Guides: 1FreeExperimental 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: 1Worksheets: 3Study Guides: 1Worksheets: 4Study Guides: 1Worksheets: 4Study Guides: 1Worksheets: 4Study Guides: 1Worksheets: 3Study Guides: 1### VI.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).

Worksheets :3Study Guides :1Worksheets :5Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1What are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read more...iWorksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :5Study Guides :1Worksheets :3Study Guides :1 ###### 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.

Worksheets :3Study Guides :1Worksheets :5Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1What are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read more...iWorksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :5Study Guides :1Worksheets :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.

Worksheets :5Study Guides :1Worksheets :3Study Guides :1 ##### 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.

Worksheets :5Study Guides :1Worksheets :3Study Guides :1 #### 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.

Worksheets :4Study Guides :1Worksheets :4Study Guides :1 ##### 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.

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 :1Pythagorean 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 :1Worksheets :4Study Guides :1 ##### 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.

Worksheets :4Study Guides :1Worksheets :4Study Guides :1 ##### 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.

Worksheets :4Study Guides :1Worksheets :4Study Guides :1 ### VI.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.

Worksheets :5Study Guides :1Worksheets :3Study Guides :1 ##### 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.

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.

Worksheets :5Study Guides :1Worksheets :3Study Guides :1 ### VI.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.

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 :1Worksheets :3Study Guides :1 #### 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.

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.

Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1 ###### G.8.1(b) Angles are taken to angles of the same measure.

Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1 ###### G.8.1(c) Parallel lines are taken to parallel lines.

Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1 ##### 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 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 :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1 ### VI.CC.MP.8. Mathematical Practices

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

Worksheets :3Study Guides :1 #### MP.8.2. Reason abstractly and quantitatively.

Worksheets :3Study Guides :1 ### VI.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.

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 ### VI.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.

Worksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1 ##### 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.

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