## Everyday Math Unit 1: Number Theory

Updated 8-23-15

In this unit, students will study properties of whole numbers by building on their prior work with multiplication and division of whole numbers. Topics studied include:

Download the Unit 1 Objectives to view samples of each objective studied in this unit. View Mr. Bowen's Unit 1 Page on TeacherTube for video tutorials.

Download the Unit 1 Family Letter for more information about this unit, including vocabulary definitions, new algorithms, at-home suggestions, and answers to selected study link questions. Scroll down to find games, skills practice, and video tutorials specific to this unit of study.

One of the most important skills students will need for fifth grade math is automatic recall of addition, subtraction, multiplication, and division facts. I strongly encourage all students to practice math facts at home for at least 5 minutes each night. Our class will be charting progress as we take Facts Master practice tests each week, with the goal of correctly answering all 300 problems in under 10 minutes.

Downloads

In this unit, students will study properties of whole numbers by building on their prior work with multiplication and division of whole numbers. Topics studied include:

- Factors and multiples
- Prime and composite numbers
- Arrays
- Divisibility
- Exponents
- Number models
- Rounding
- Place Value
- Extended Facts

Download the Unit 1 Objectives to view samples of each objective studied in this unit. View Mr. Bowen's Unit 1 Page on TeacherTube for video tutorials.

Download the Unit 1 Family Letter for more information about this unit, including vocabulary definitions, new algorithms, at-home suggestions, and answers to selected study link questions. Scroll down to find games, skills practice, and video tutorials specific to this unit of study.

One of the most important skills students will need for fifth grade math is automatic recall of addition, subtraction, multiplication, and division facts. I strongly encourage all students to practice math facts at home for at least 5 minutes each night. Our class will be charting progress as we take Facts Master practice tests each week, with the goal of correctly answering all 300 problems in under 10 minutes.

Downloads

- Unit 1 Study Links
- Unit 1 Vocabulary Cards
- Factor Captor Game Handout
- Factors Observations Assignment
- Divisibility Rules Flow Chart
- Divisibility Rules Worksheet
- Operations Keywords
- Factors of Numbers 1-100
- Sieve of Eratosthenes
- 24 Game Cards
- Rounding Decimals PowerPoint
- Comparing and Ordering Decimals PowerPoint
- Roman Numerals Enrichment Activity
- Unit 1 Study Guide + answers!

**Mr. Bowen's Unit 1 Tutorials**- Prime Factorization
- Rectangular Arrays and Multiplication Vocabulary
- Rainbow Method for Factoring
- Extended Multiplication Facts
- Extended Multiplication Facts With Missing Factors
- Expanded Notation
- Exponents
- Ordering Decimals
- Rounding
- Divisibility Rules
- Divisibility Riddles

**Student Tutorials**- Coming soon...

## Games and Interactives

I am constantly updating this page to add new content and check existing links. If you find a broken link, please email me the name of the link so I can fix it. Thank you.

Factors, Multiples, Prime Numbers

Number Sense

Place Value

**Divisibility**Factors, Multiples, Prime Numbers

- Johnny's Math Factors and Multiples - Several games and interactive tools
- Factor Captor - Click on Grade 5
- Factor Game - A different version of Factor Captor
- Factorize - Build arrays
- Octopus Factors
- Not a Factor
- Product Game
- Prime Factorization Forest
- Factor Tree Game
- Factor Feeder
- Kung Fu Factor
- Factor Bingo
- Factor Side by Side (advanced)
- Prime Landing
- Prime Square
- Ghostblasters
- Fruit Splat Prime and Composite
- Sieve of Eratosthenes
- Multiples Frenzy
- Number Cop Multiples
- Multiplication Station
- Fruit Splat - Greatest Common Factors
- Fruit Shoot Least Common Multiples
- Number Munchers (try this!)
- Primes vs. Composites
- Original Number Munchers Java Version + ActiveGS Version (home only)
- Number Munchers Primes/Factors/Multiples Version

Number Sense

- Johnnie's Math Numbers and Operations - lots of interactive tools
- Johnnie's Math Numbers and Operations 2 - lots of interactive tools (advanced)
- Primary Krypto (similar to 24, but with different target numbers)
- Broken Calculator
- Connect Sums
- Number Balls
- Crazy Counting Machine (click "Crazy Counter" at the top of the page)
- Da' Numba (make a given number)
- Count the Cubes
- Math Pathways (rules)
- Multiplication Baseball
- Multiplication Baseball with Extended Facts
- Math Lingo (math terms)
- Twenty Four
- 4 Numbers Game (another variation of 24)
- Arithmetic Game
- Hexagon Numbers Match
- Arithmetic Chart (try Factors)
- Estimation Game
- Sum Sense Division
- Sum Sense Multiplication
- Sum Sense Subtraction
- Sum Sense Addition
- Picture Math
- Math Search
- Ivy's Meadow (Number Lines)
- Math Man
- Math Man Expert
- Quick Calculate
- Quick Math (choose the operation that completes each number sentence. Be fast!)
- Math Lines
- Dead Sea Duel
- Make 15
- Scooter Quest Rounding Decimals
- Math Equator
- Math Millionaire
- Calculator Chaos

Place Value

- Johnnie's Math Place Value - lots of games and interactive tools
- Place Value Pirates
- Ordering Numbers (try "Tricky Decimals")
- Place Value Strategy
- Mystery Numbers
- Expanded Form Matching
- Scooter Quest Place Value
- Place Value Puzzler
- Math Man Expanded Form
- Digit Wize (expanded form)
- Place Value Game
- Fruit Shoot Place Value Decimals (leveled)
- Fruit Splat Compare Decimals
- Jumble Digits
- High Number Toss
- Number Line Interactive

## Skills Practice

Primes, Multiples, and Factoring

- Prime Factorization Fill in the Blank
- Prime Factorization Practice 4
- Prime Factorization Practice 5
- Prime Factorization Practice 6
- Prime Factorization Practice 7
- Divisibility Rules Practice
- Divisibility by 3 Quiz
- Multiples Venn Diagram Practice
- Prime Numbers to 100
- Making Arrays

Exponents

Place Value

- Place Value Practice 3
- Writing Large Numbers Practice 1
- Writing Large Numbers Practice 2
- Writing Decimals Practice (10ths)
- Writing Decimals Practice (100ths)
- Writing Decimals Practice (1000ths)
- Writing Decimals Practice (mixed)
- Standard and Expanded Form Practice 1
- Standard and Expanded Form Practice 2
- Standard and Expanded Form Practice 3
- Standard and Expanded Form Practice 4

Rounding

## Video Tutorials

Forgot how to use the divisibility rules? Can't remember how prime factorization works? Watch these video tutorials from the Khan Academy and LearnZillion (free account required). Most video clips are between 5 and 10 minutes in length and are presented in a simple, yet easy-to-understand format.

**Rounding**

- Rounding Whole Numbers 1
- Rounding Whole Numbers 2
- Rounding Whole Numbers 3
- Rounding Decimals
- Rounding Decimals (LearnZillion)

**Comparing and Ordering Decimals**

**Place Value**

- Finding a Number's Place Value
- Writing a Number in Standard Form
- Writing a number in Expanded Form
- Decimal Expanded Form
- Decimals to Words
- Decimals to Words 2
- Reading Decimals
- Reading and Writing Decimals (LearnZillion)
- Reading and Writing Decimals 2 (LearnZillion)
- Comparing Place Values
- Place Value Relationships
- Value of Digits (LearnZillion)
- Value of Digits 2 (LearnZillion)

Factors and Multiples

Exponents (basic)

- Exponentiation Warmup
- Introduction to Exponents
- Understanding Exponents 1
- Understanding Exponents 2
- Understanding Square Roots

Prime and Composite Numbers

Divisibility

- Divisibility Tests for 2, 3, 4, 5, 6, 9, 10
- Recognizing Divisibility
- The Why of the 3 Divisibility Rule
- The Why of the 9 Divisibility Rule

Commutative Property (turn-around facts)