Last updated: 6/2/2015 ## Math-8 Core Pacing Guide I

The Number System

Expressions and Equations

Functions

Probability and Statistics

Geometry

Real numbers

Order of Operations

Examine subsets of real numbers

Build tree diagram of real numbers

Determine if a number is rational or irrational

Classifying real numbers

Determine which sets of numbers a given number is an element of

Powers and exponents

Determine the base of a power

Determine if base is negative or positive

Use of ( ) with a power

Order of operations with powers -( )

Define monomials

Finding the product and quotient of monomials

Laws of exponents

Powers of monomials

Area of squares (application of power of monomials)

Volume of cubes (application of powers of monomials)

Negative exponents

Writing powers with negative exponents as powers with positive exponents

Scientific Notation

Writing values in scientific notation

Writing numbers in scientific notation in standard form

Writing a number as a sum of scientific notated values for place value

Calculations with scientific notation-multiplication, division, addition and subtraction

Review of two step equations

Properties of Real Numbers

Solving Equations

Solving multi-step equations

Prove solution with formal check

Solving equations with variables on both sides

Solving equations with rational coefficients

Writing equations

Determining the null set (no solution set) or the identity (all numbers/solution) set)

Equations in two variables

Review coordinate plane and coordinates

Use substitution property to substitute x or y-coordinates, find missing coordinate and plot line

Examining linear relationships and their slopes

Similar triangles and their slopes

Positive, Negative, Zero, and undefined or (no slope)

Constant rate of change-slope

Find slope by counting on grid

Find slope using formula

Notice lines that have the same slopes are parallel

Determine when graph of linear equation is continuous or discrete

Determine if relationship is linear, by checking slopes

Finding the missing coordinate, given three coordinates and the slope

Examine the proportional line, y-intercept

Writing lines in slope intercept form

Writing lines in standard form

Finding and interpreting the x and y intercept

Proportional lines

Direct Variation

Transformations from y=mx and  y=mx +b

Writing linear equations from two points in point slope form

Writing linear equations from two points in y=mx+b  form

Be able to rewrite linear equation from any given form to another

Recognize proportional linear equations and graphs

Write proportional linear equations

Systems of Linear equations

Solving systems of equations graphically

Solving systems of equations using elimination

Solving systems of equations using substitution

Using systems of equations to solve real life problems

Functions - define functions

Mapping, charting and graphing functions

Explore the idea of a function as a machine with linear functions

Determine if a function is discrete or continuous

Determine if a relation is a function

Creating input-output tables  from an equation or given situation

Exploring domain and range

Comparing properties of functions

Constructing functions from situations

Linear and Nonlinear functions

Types of non-linear functions - exponential, quadratic square root

Determine if a function is linear or non-linear from a table

Compare functions-increasing or decreasing over each other

Qualitative Graphs

Graphing a qualitative graph

Writing a situation that matches a qualitative graph 