Kentucky KSA Grade 8 Math Prep Online Center

KY.8

• KY.8.NS.1Understand informally that every number has a decimal expansion; the rational numbers are those with decimal expansions that terminate in 0s or eventually repeat. Know that other numbers are called irrational
• KY.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
• KY.8.EE.1Know and apply the properties of integer exponents to generate equivalent numerical expressions
• KY.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. Know that perfect squares and perfect cubes are rational
• KY.8.EE.3Use numbers expressed in the form of a single digit times an integer power of 10 (Scientific Notation) to estimate very large or very small quantities and express how many times larger or smaller one is than the other
• KY.8.EE.4Perform 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. Interpret scientific notation that has been generated by technology
• KY.8.EE.5Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways
• KY.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; know 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
• KY.8.EE.7Solve linear equations in one variable
• KY.8.EE.8Analyze and solve a system of two linear equations
• KY.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
• KY.8.F.2Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions)
• KY.8.F.3Understand properties of linear functions
• KY.8.F.4Construct a function to model a linear relationship between two quantities
• KY.8.F.5Use graphs to represent functions
• KY.8.G.1Verify experimentally the properties of rotations, reflections and translations: lines are congruent to lines; line segments are congruent to line segments of the same length; angles are congruent to angles of the same measure; parallel lines are congruent to parallel lines
• KY.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
• KY.8.G.3Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates
• KY.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
• KY.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
• KY.8.G.6Explain a proof of the Pythagorean Theorem and its converse
• KY.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
• KY.8.G.8Apply the Pythagorean Theorem to find the distance between two points in a coordinate system
• KY.8.G.9Apply the formulas for the volumes and surface areas of cones, cylinders and spheres and use them to solve real-world and mathematical problems
• KY.8.SP.1Construct and interpret scatter plots for bivariate numerical data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association and nonlinear association
• KY.8.SP.2Know that lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a line and informally assess the model fit by judging the closeness of the data points to the line
• KY.8.SP.3Use the equation of a linear model to solve problems in the context of bivariate numerical data, interpreting the slope and intercept