Grade Eight
Key Concepts
The Number System
Real Numbers
Expressions and Equations
Exponents and Roots
Scientific notation
Linear Relationships
Proficiency Statements
I can:
 understand the difference between rational and irrational
numbers.
 understand that every number has a decimal expansion.
 use rational numbers to approximate irrational numbers.
 locate real numbers on a number line.
I can
 understand and simplify properties of integer exponents.
 represent the square and cube values of a number in the
appropriate square and cubed root.
 evaluate square and cube root expressions.
I can:
 rewrite expressions in scientific notation.
 use scientific notation to estimate large and small numbers.
 perform operations with numbers written in scientific notation.
 use scientific notation to express appropriate measurements.
I can:
 graph proportional relationships.
 understand that the slope is the unit rate.
 compare proportional relationships using graphs and tables.
 find the equation of a line.
Vocabulary
Absolute value
Quotient
Irrational
Difference
Real number
Sum
Integer
Estimate
Rational
Whole number
Evaluate
Solve
Order of operations
Associative property
Equivalent
Square root
Commutative property
Expanded form
Squared
Distributive property
Expression
Variables
Equation
Scientific notation
Powers of ten
Like terms
Solving Linear Relationships
Functions
Define, evaluate, and
compare functions
Functions to model
relationships
 explain how different lines may have the same slope.
I can:
 solve linear equations with one variable that result in one
solution, many solutions, or no solutions.
 solve linear equations with one variable that require more than
one step to solve.
 analyze and solve pairs of simultaneous linear equations.
 understand that the point where two lines intersect on a graph is
a solution to both equations.
 solve systems of two linear equations with two variables both
algebraically and by graphing.
 solve real-world problems involving two linear equations in two
variables.
Inequality
Perfect squares
Ordered pair
Coordinate plane
Graph
Exponent
Polynomial
Simplify
Slope
Elimination
I can:
 understand that a function has exactly one output for each input
 graph a function using a set of ordered pairs
 compare functions through graphs, tables, equations, and written
descriptions
 understand the equation of a line as a linear function
 understand the difference between a linear and non-linear
function
I can:
 write an equation for a linear relationship between two
quantities.
 determine the rate of change of a linear relationship from a table,
graph or description
 describe a function by analyzing the its graph
 graph a function based on its verbal description
Non-linear
T-table
Justify
Linear
Symbols
Geometry
Translation, Rotation, and
Reflection
Congruence with Translation,
Rotation, and Reflection
Similarity with Translation,
Rotation, and Reflection
Angles
Pythagorean Theorem
Volume of 3-Dimensional
I can:
 use a coordinate plane to show translation, rotation, and
reflection
I can:
 verify that a line or figure has been translated, rotated, and
reflected by showing the corresponding lines have the same
length and the corresponding angles have the same measure
 understand that two figures are congruent if one is a translation,
rotation, or reflection of the other
 show how two figures are congruent by using translation,
rotation, and/or reflection
I can:
 understand that two figures are congruent if one is a translation,
rotation, or reflection of the other
 show how two figures are congruent by using translation,
rotation, and/or reflection
I can:
 find the sum of the interior and exterior angles of a triangle
 understand the relationship of angles created when two lines are
cut by a transversal
 understand the relationship of the angles of similar figures
I can:
 explain the Pythagorean Theorem
 use the Pythagorean Theorem to find the unknown length of a
side of a right triangle in real-world 2- and 3-dimensional
problems
 use the Pythagorean Theorem to find the distance between
points on a graph
I can:
 write and use the formulas for finding the volume of cones,
Compare
Polyhedron
sphere
Classify
Volume
cylinder
Corresponding
Area
cone
Polygon
Prism
Figures
Statistics and Probability
Interpret Bivariate Data
cylinders, and spheres in real-world and mathematical problems
I can:
 construct and analyze scatter plots by seeing patterns,
outliers, correlations, and liner vs nonlinear relationships
 find a line of best fit on a scatter plot and analyze the data
compared to the line
 find and explain the slope of the line of best fit
 analyze bivariate data by creating a two-way table
 understand how relative frequencies show in a table might
describe the relationship between two variables
Mode
Median
Mean
Percent
Rate
Statistics
Probability
Unit rate
Ratio