UNIT 1: RATIONAL
NUMBERS/INTEGERS
 Define integers as a set of numbers
(review counting & whole numbers), compare & order integers, and
find the absolute value of a number
 Adding Integers & the additive
inverse property
 Subtract integers
 Applications of Adding &
Subtracting
 Multiply & Divide integers /Applications
 Order of operations with integers
 Evaluation with Integers
UNIT 2:
RATIONAL NUMBERS/FRACTIONS
 Intro to fractions, terminology
(numerator, denominator, ratio), Convert between fractions and mixed
numerals expressing negative quantities with fractions, equivalent
fractions including reducing fractions to lowest terms. Introduce set of
Rational Numbers.
 Adding & subtracting fractions
and mixed numerals (positives & negatives) video
 Multiply fractions & mixed
numerals (including negatives)
 Division of fractions & mixed
numerals (including negatives)
 Evaluate expressions with fractions
& mixed numerals (Introduce calculators)
Unit 3: RATIONAL
NUMBERS/DECIMALS
 Convert fractions to decimals – all
fractions are division problems, different types of decimals (terminating
& repeating). Terminating & repeating decimals are Rational
Numbers. Undefined fractions.
 Place value, rounding &
terminating decimals to fractions
 Repeating decimals & partially
repeating decimals to fractions
 Adding & Subtracting Decimals
(including negatives)
 Multiplying & Dividing Decimals
(including negatives)
 Word Problems involving decimal
operations
 Review/ Mixed Practice with
Operations/Evaluate Expressions
 Scientific Notation vs Standard
Notation
 Scientific Notation Operations
Unit 3a:
THE REAL NUMBER SYSTEM
 Sets of Numbers
 Perfect Squares & Perfect Cubes
 Nonperfect squares (approximating
square roots, placement on the number line)
UNIT 4:
EXPRESSIONS
 Define an expression and its parts
(coefficients, constants, terms and like terms)
 Define and identify like terms,
simplify expressions by combining like terms (use expressions with
multiple variables ex: 2rs + 7rs)
 Simplify expressions by combining
like terms using the distributive property (including rationals &
binomials)
 Factoring out the GCF –
Distributive Property Backwards
 Laws of Exponents – Multiplying
with coefficients & power to a power
 Laws of Exponents – Dividing with
coefficients
 Writing expressions with positive
exponents only
UNIT 5: EQUATIONS
 Solve and check one step equations
with addition and subtraction (with rationals)
 Solve and check one step equations
with multiplication and division (with rationals)
 Translating expressions &
solving one step equations
 Solve and check two step equations
(with rationals)
 Using the algebraic process to
solve word problems/two step equations
 Solve and check multistep
equations by using the distributive property
 Solve and check multistep
equations by combining like terms
 Solve and check equations with
variables on both sides
 Solving Equations—Identities and
Contradictions
 Solving One & Two Step Literal
Equations
 Solving Multistep Literal
Equations
UNIT 6: INEQUALITIES
 Intro to inequalities and graphing
on a number line. Working with
inequalities (conceptual understanding of flipping the symbol)
 Solve and graph one step inequalities
(with rationals)
 Solve and graph two step
inequalities
 Solve and graph multistep
inequalities
 Using the algebraic process to
solve word problems/one & two step inequalities. Interpreting the answer
to an inequality.
UNIT 7: RATIO
& PROPORTION
 Review the definitions of ratio and
rate and their 3 mathematical representations, find unit rate and unit
price
 Find unit rate with complex
fractions
 Use unit price to find the better
buy
 Intro to independent vs dependent
variables
 Examples of proportional versus
nonproportional reasoning (given a chart/table is it proportional or not,
find the constant of proportionality & writing equations)
 Proportional versus
nonproportional reasoning (with graphs – interpreting, drawing &
writing equations)
 Solve proportions algebraically
 Word problems with proportions
 Word problems (part to whole and
part, part, whole)
UNIT 7a:
PROPORTIONAL GEOMETRY
 What are similar figures, name
corresponding parts, find missing measures
 Application of similar figures,
indirect measures
 Solve problems involving scale drawings
(using a ruler to measure)
 Reproduce scale drawings using a
different scale
UNIT 8:
PERCENTS
 Define percent, write percents as
fractions and decimals including percents less than one and greater than
100
 Introduction to percent proportion,
solve for missing parts
 Real world applications
 Sales tax, discount, commission, gratuity
& mark up
 Percent of change and percent error
 Simple Interest
UNIT 9:
STATISTICS
 Random samples, fair or biased
surveys
 Intro to statistics, and measures
of central tendency
 Box & Whisker Plots (creating
and interpreting)
 Dot/Line Plots (creating and interpreting)
 Histograms
 Mean Absolute Deviation (M.A.D)
UNIT 10:
PROBABILITY
 Intro to probability, probability
of a single event (theoretical), certain, impossible, likely, unlikely
events
 Probability of two or more events
(independent & dependent)
 Tree Diagrams, Sample Space and
Basic Counting Principle
 Theoretical versus experimental
probability
 Use a sample set to make
predictions about a population
Unit 11:
EXPLORING 2D GEOMETRIC FIGURES
 Parts of a circle and estimate the
value of Pi
 Circumference (exact and
approximate)
 Area of a circle (exact and
approximate)
 Find the radius or diameter given
the area or circumference
 Review of 2D shapes and find their
areas
 Area of irregular shapes/composite
figures
 Informal constructing of geometric
shapes with given conditions
UNIT 12:
EXPLORING 3D GEOMETRIC FIGURES
 Surface Area (prisms and pyramids)
 Surface Area (cylinders, cones
& spheres)
 Volume (prisms and pyramids only)
 Volume (cylinders, cones &
spheres)
 Real world applications with
surface area and volume
 Review 3D shapes and find cross
sections (right rectangular prisms, right rectangular pyramids)
UNIT 13:
ANGLE RELATIONSHIPS
 Complementary, supplementary &
vertical angles, including algebraic examples
 Parallel Lines cut by a transversal
(corresponding, alternate interior, alternate exterior, vertical &
supplementary, including algebraic examples
UNIT 13a:
ANGLE RELATIONSHIPS in 2D GEOMETRIC FIGURES
 Classify triangles according to
their sides and angles, triangle inequality (informal constructions),
identify largest side/shortest side, largest angle/smallest angle
 Solve for the missing angle
algebraically in a triangle
 Classify quadrilaterals and solve
for the missing angle algebraically
UNIT 14: LINEAR EQUATIONS
 Review of Coordinate Plane
 Graphing a Linear Equation using
TCharts
 Intro to Slope (reading slope of a
line as positive, negative, zero, undefined, define slope as a constant
rate of change)
 Finding the slope given two points
 Slopeintercept Form of a Line
 Rewriting an equation in slope
intercept form
 Systems of Equations
 x & y intercepts
UNIT 15: TRANSFORMATIONAL GEOMETRY
 Reflections in the Coordinate Plane
(xaxis, yaxis, y=x and line reflections)
 Translations in the Coordinate
Plane
 Dilations in the Coordinate Plane,
define Isometry
 Rotations90° and 180°Rotational
Symmetry
 Composition of Transformation to
Produce similar and congruent figures

