UNIT 1: FACTORS & MULTIPLES
Lesson 1.1  Factors, Prime, & Composite Numbers
 Factors
 Multiplying factors
 Prime numbers
 Composite numbers
Lesson 1.2  Factors – Word Problems
 Word problems using factors
Lesson 1.3  Greatest Common Factor
 Common factors
 Greatest common factor
 Finding the greatest common factor
Lesson 1.4  Multiples and Least Common Multiple
 Multiples
 Skip counting
 Common multiples
 Least common multiple
 Finding the least common multiple
Lesson 1.5  Least Common Multiple – Word Problems
 Word problems using the least common multiple
UNIT 2: FRACTION CONCEPTS
Lesson 2.1  Fractions and Mixed Numbers
 The concept of a fraction
 Numerator and denominator
 Fractions in measurement
 Fraction of a set
 Fractions larger than one
 Mixed numbers
Lesson 2.2  Equivalent Fractions and Lowest Terms
 Equivalent fractions
 Using common multiples to create equivalent fractions
 Reducing fractions to lowest terms
 Using common factors to reduce fractions
Lesson 2.3  Least Common Denominator
 Common denominator
 Making common denominators
 Least common denominator
 Using least common multiple to find equivalent fractions with common denominators
Lesson 2.4  Comparison Symbols
 Less than symbol
 Greater than symbol
Lesson 2.5  Comparing Fractions
 Comparing fractions with the same denominators
 Comparing fractions with different denominators by making equivalent fractions
with common denominators
Lesson 2.6  Mixed Numbers and Improper Fractions
 Mixed numbers and improper fractions
 Converting a mixed number to an improper fraction
 Converting an improper fraction to a mixed number
UNIT 3: ESTIMATION OF FRACTIONS
Lesson 3.1  Benchmarks
 Benchmark numbers
 Benchmark fractions
 Converting mixed numbers to benchmarks
Lesson 3.2  Estimating with Benchmarks
 Replacing fractions with benchmarks
 Estimating fractions calculations using benchmarks
Lesson 3.3  Adding & Subtracting Fractions with Benchmarks
 Adding amounts using benchmarks
 Subtracting amounts using benchmarks
Lesson 3.4  Multiplying & Dividing Fractions with Benchmarks
 Using benchmarks to estimate multiplication of amounts
 Using benchmarks to estimate division of amounts

UNIT 4: ADDITION & SUBTRACTION OF FRACTIONS
Lesson 4.1  Adding & Subtracting Like Fractions
 Like fractions with common denominators
 Adding like fractions
 Subtracting like fractions
 Reducing to lowest terms in fractions calculations
Lesson 4.2  Adding & Subtracting Unlike Fractions
 Adding unlike fractions by creating equivalent fractions with common denominators
 Subtracting unlike fractions by creating equivalent fractions with common
denominators
 Using least common denominator in fractions calculations
 Reducing to lowest terms in fractions calculations
Lesson 4.3  Adding Mixed Numbers
 Regrouping mixed numbers for addition
 Converting mixed numbers to improper fractions for addition
 Recording sum of mixed numbers as a mixed number
Lesson 4.4  Subtracting Mixed Numbers
 Regrouping mixed numbers for subtraction
 Converting mixed numbers to improper fractions for subtraction
 Recording the remainder of subtraction mixed numbers as a mixed number
Lesson 4.5  Adding & Subtracting Fractions – Word Problems
 Using addition where word problems combine or increase quantities
 Using subtraction where word problems reduce or remove quantities
UNIT 5: MULTIPLICATION WITH FRACTIONS
Lesson 5.1  Multiplying Whole Numbers by Fractions
 Converting whole numbers to fractions to multiply by another fraction
 Multiplying numerators and denominators of fraction numbers
Lesson 5.2  Multiplying Fractions by Fractions
 Multiplying numerators and denominators of fraction numbers
 Reducing the product of multiplied fractions to lowest terms
Lesson 5.3  Multiplying Mixed Numbers by Fractions
 Converting mixed numbers to improper fractions for multiplication
 Recording the product of multiplied mixed numbers as a mixed number
Lesson 5.4  Multiplying by Fractions – Word Problems
 Using multiplication where word problems combine or increase quantities many times
UNIT 6: DIVISION WITH FRACTIONS
Lesson 6.1  Dividing Whole Numbers by Fractions
 Divide by a fraction by multiplying the reciprocal of the fraction divisor – flip and multiply
 Reducing the quotient in fraction form to lowest terms
Lesson 6.2  Dividing Fractions by Fractions
 Divide a fraction by another fraction by multiplying the reciprocal of the fraction divisor
 Reducing the quotient in fraction form to lowest terms
Lesson 6.3  Dividing Mixed Numbers
 Converting mixed numbers to improper fractions for arithmetic operations
 Divide an improper fraction by multiplying the reciprocal of the fraction divisor
 Reducing the quotient in fraction form to lowest terms
Lesson 6.4  Dividing with Fractions
 Using division to separate something many times
UNIT 7: WORKING WITH FRACTIONS
Lesson 7.1  Performing Fraction Arithmetic Operations
 Rules for mixed operations
 Adding and subtracting operations are done from left to right
 Multiplying and dividing operations are done from left to right
 If mixing operations, do multiplication and division before addition and subtraction
 If brackets are used, do the operations in brackets first
Lesson 7.2  Solving Fraction Word Problems
 Standard steps for solving word problems: plan, model, calculate, check, answer
 Reading word problems carefully
APPENDICIES
 Appendix A  Glossary
 Appendix B  Multiplication Table
