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AR.Math.Content.8.EE.Expressions and Equations
Expressions and Equations
AR.Math.Content.8.EE.A. Work with radicals and integer exponents.
AR.Math.Content.8.EE.A.1. Know and apply the properties of integer exponents to generate equivalent numerical expressions using product, quotient, power to a power, or expanded form.
AR.Math.Content.8.EE.A.2. Use square root and cube root symbols to represent solutions to equations. Use square root symbols to represent solutions to equations of the form x^2 = p, where p is a positive rational number. Evaluate square roots of small perfect squares. Use cube roo
AR.Math.Content.8.EE.A.3. Use 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. For example: Estimate the population of the United States as 3 t
AR.Math.Content.8.EE.A.4. Perform operations with numbers expressed in scientific notation, including problems where both standard form and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quant
AR.Math.Content.8.EE.B. Understand the connections between proportional relationships, lines, and linear equations.
AR.Math.Content.8.EE.B.5. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways (graphs, tables, equations). For example: Compare a distance-time graph to a distance-ti
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
AR.Math.Content.8.EE.B.6. Using a non-vertical or non-horizontal line, show why the slope m is the same between any two distinct points by creating similar triangles. Write the equation y = mx for a line through the origin. Be able to write the equation y = mx + b for a line inter
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
AR.Math.Content.8.EE.C. Analyze and solve linear equations and pairs of simultaneous linear equations.
AR.Math.Content.8.EE.C.7. Solve linear equations in one variable.
AR.Math.Content.8.EE.C.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
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
AR.Math.Content.8.EE.C.7.B. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
AR.Math.Content.8.EE.C.8. Analyze and solve pairs of simultaneous linear equations.
AR.Math.Content.8.EE.C.8.A. Find solutions to a system of two linear equations in two variables so they correspond to points of intersection of their graphs.
AR.Math.Content.8.EE.C.8.B. Solve systems of equations in two variables algebraically using simple substitution and by inspection (e.g., 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6).
AR.Math.Content.8.F.A. Define, evaluate, and compare functions.
AR.Math.Content.8.F.A.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.
AR.Math.Content.8.F.B. Use functions to model relationships between quantities.
AR.Math.Content.8.F.B.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 verbal description of a relationship; two (x, y) values; a table; a graph. Interpret the rate of change and
AR.Math.Content.8.G.A.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
AR.Math.Content.8.G.A.3. Given a two-dimensional figure on a coordinate plane, identify and describe the effect (rule or new coordinates) of a transformation (dilation, translation, rotation, and reflection).
AR.Math.Content.8.G.A.5. Use informal arguments to establish facts about: The angle sum and exterior angle of triangles. For example: Arrange three copies of the same triangle so that the sum of the three angles appears to form a line. The angles created when parallel lines are c
AR.Math.Content.8.G.B.7. Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
AR.Math.Content.8.G.C. Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
AR.Math.Content.8.G.C.9. Develop and know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real- world and mathematical problems.
AR.Math.Content.8.NS.A. Know that there are numbers that are not rational, and approximate them by rational numbers.
AR.Math.Content.8.NS.A.1. Know that numbers that are not rational are called irrational. Understand that every number has a decimal expansion. (For example: 2=2.00…) Write a fraction a/b as a repeating decimal. Write a repeating decimal as a fraction.
AR.Math.Content.8.SP.A. Investigate patterns of association in bivariate data.
AR.Math.Content.8.SP.A.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 associa
AR.Math.Content.8.SP.A.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 da