
Learning Objectives by Unit 
Visual 
Topics Covered In Depth 
1 
Perimeter and Area of Polygons 

Perimeter of polygons, length, width, base and height, Area of
rectangles, parallelograms, triangles and trapezoids. 
2 
Circumference and Area of Circles 

Geometry of a Circle, line segment, chord, plane, radius, diameter, pi, Circumference of
Circles, and Area of Circles. 
3 
Number Theory 

Factors, multiples, GCF, LCM, prime and composite numbers,
divisibility, exponents, and patterns with exponents. 
4 
Introduction to
Fractions 

Introduction, classifying, equivalent fractions, simplifying,
comparing, ordering. Converting fractions to mixed numbers and mixed
numbers to fractions. 
5 
Adding and Subtracting
Fractions
and Mixed Numbers 

Add and subtract fractions with like denominators, LCD, add and subtract with unlike
denominators, add and subtract mixed numbers, solving realworld problems. 
6 
Multiplying and Dividing
Fractions
and Mixed Numbers 

Multiplying fractions, multiplying factions with cancelling,
multiplying mixed numbers, reciprocals, dividing fractions,
dividing mixed numbers, solving
realworld problems. 
7 
Decimals Part I 

Introduction, reading and writing, comparing, ordering,
estimating sums, adding, estimating differences, subtracting,
solve realworld problems. 
8 
Decimals Part II 

Estimate products, multiply decimals & whole numbers, multiply decimals,
estimate quotients, divide decimals by whole numbers, round quotients, divide decimals,
solve word problems. 
9 
Understanding Percent 

Introduction, writing fractions as percents and decimals as
percents, writing percents as decimals and percents as
fractions, percents less than 1 or greater than 100. 
10 
Consumer Math 

Percent and proportions with IS over OF, discount and sale price, simple
interest, commission, sales tax, percent increase and decrease. 
11 
Integers 

Introduction, absolute value, comparing and ordering, adding,
subtracting, multiplying, dividing, and all four operations. 
12 
Probability 

Introduction, certain and impossible events, sample spaces,
complement, mutually exclusive events, addition
rules, independent and dependent events, conditional
probability. 
13 
PreAlgebra 

Order of operations, order of operations with exponents, PEMDAS,
order of operations with integers, writing
algebraic expressions, writing algebraic equations. 
14 
Data and Graphs 

Read and interpret data in line, bar and circle graphs;
Construct line, bar and circle graphs; Determine which graphs
are appropriate for displaying a given set of data. 
15 
Introduction to Statistics 

Data, range, mean, nonroutine mean, median and mode. Data sets
that are bimodal, have no mode, and with an even or an odd
number of data. 
16 
Symbolic Logic 

Negation, conjunction, disjunction, conditional, compound
statements, biconditionals, tautologies and equivalence. 
17 
Sets and Set Theory 

Visual approach for basic definitions and notation, types of sets, equality,
Venn diagrams, subsets, Universal
set, setbuilder notation, complement, intersection and union. 

