Math

8.M.NS.A.02    The Highly Proficient student can use rational approximations of irrational numbers to compare the size of irrational numbers, and locate them approximately on a number line diagram, and calculate their values.

8.M.EE.A.01    The Highly Proficient student can understand and apply the properties of integer exponents to generate and interpret equivalent numerical expressions. 

8.M.G.A.02    The Highly Proficient student can prove that a two-dimensional figure is congruent to another if one can be obtained from the other by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that demonstrates congruence. 

8.M.G.A.03-04    The Highly Proficient student can describe and interpret the effect of dilations, translations, rotations, and reflections on 2D figures using coordinates, explain that figures are similar if one can be obtained from the other by a sequence of these transformations, and describe the sequence that demonstrates similarity between two given figures. 

8.M.G.B.07-08    The Highly Proficient student can apply the Pythagorean Theorem to calculate and interpret unknown side lengths in right triangles within real-world and mathematical problems in both two and three dimensions, and can use it to find the distance between two points in a coordinate system. 

8.M.F.A.03    The Highly Proficient student can interpret the equation y = mx + b as defining a linear function whose graph is a straight line; give real-world examples of functions that are not linear. 

8.M.EE.C.07    The Highly Proficient student can fluently solve linear equations and inequalities in one variable, including those involving rational numbers, the distributive property, and combining like terms, and explain whether an equation has one, zero, or infinite solutions by simplifying it. 

8.M.EE.B.05    The Highly Proficient student can graph proportional relationships, interpret the unit rate as the slope of the line, and compare and explain two different proportional relationships when they are represented in different ways. 

8.M.EE.B.06    The Highly Proficient student can use similar triangles to prove that the slope m is the same between any two points on a non-vertical line, and they can 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 (0, b). 

8.M.F.A.01-02    The Highly Proficient student can explain that a function is a rule that assigns to each input exactly one output, explain that the graph of a function is the set of ordered pairs consisting of an input and the corresponding output, and interpret properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). 

8.M.F.B.05    The Highly Proficient student can interpret the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear), and sketch a graph that exhibits the qualitative features of a function that has been described verbally. 

8.M.F.B.04    The Highly Proficient student can generate, analyze, and interpret linear functions to model situations, determining and explaining the rate of change (slope) and initial value (y-intercept) from a description, two points, a table, or a graph, and relating these values to how the two quantities change together. 

8.M.SP.A.03    The Highly Proficient student can create an equation for a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. 

8.M.EE.C.08    The Highly Proficient student can analyze and solve systems of two linear equations in two variables algebraically and graphically, explain that solutions correspond to points of intersection, identify cases with one, no, or infinitely many solutions, and create and solve these systems for real-world problems. 

8.M.SP.B.05    The Highly Proficient student can find the probability of compound events by representing and interpreting the outcomes in the sample space using organized lists, tables, or tree diagrams, and I can design and use a simulation to generate and interpret event frequencies. 

8.M.G.C.09    The Highly Proficient student can know and use formulas for volumes of cones, cylinders and spheres and use them to solve real-world context and mathematical problems.

 8.M.G.A.05    The Highly Proficient student can prove 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.