 ## 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

• 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
• 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