Download 8th Grade Math Common Core Standards Number System Know

8th Grade Math Common Core Standards
Number System
Know that there are irrational numbers and approximate them by rational
Expressions and Equations
Know and apply properties of exponents
Use square root and cube root to solve equations
Use scientific notation to estimate and compare quantities
Perform operation with numbers expressed in scientific notation
Graph proportional relationships interpreting unit rate as slope. Compare different proportional relationships
represented in different ways
Use similar triangles to explain why slope is a constant between any two distinct points on a line on the coordinate plane
Derive and use equations y = mx + b
Solve linear equation in one variable
Analyze and solve linear systems
Functions
Define and understand functions
Compare properties of two functions represented in different ways
Interpret linear function d give examples of non-linear functions
Construct a function to model a linear relationship
Geometry
Verify experimentally properties of rotations, reflections, and translations
Understand congruence of 2D figures based on if the second can be obtained by sequence of transformations on the
first
Describe the effect of transformation, including dilations, on 2D figures using coordinates
Understand similarity of 2D figures based on if the second can be obtained by sequence of transformation on the first
Informal arguments to establish fact about the sum of the angles in a triangle, exterior angles of triangles, relationships
of angles on parallel lines cut by a transversal and a AA criterion for similarity of triangles.
Understand and apply the Pythagorean Theorem-including the distance between two points
Solve problems involving volume of cylinders, cones and spheres
Statistics and Probability
Construct and interpret scatter plots for bivariate measurements data to investigate patters of association – clustering
outliner, positive/negative association, and linear/nonlinear association
Recognize scatter plots that suggest a linear association informally suggest a line of best fit. Asses the fit of the model by
judging closeness of data to the line
Use equation of linear model to solve problems of a linear model to solve problem in the context of bivariate
measurement data, including interpreting the slope and intercept
Understand patters of association can also be seen in bivariate categorical data displaying frequencies and relative
frequencies in a 2-way table. Be able to construct and interpret a 2-way table summarizing data on two categorical
variables collected from the same subjects.