eBook
Mathigon

Mathigon: Math Foundations: Divisibility and Primes: Divisibility Rules

For Students 6th - 8th
There are a few different rules that can make it easy to check if a number is divisible by another. In this lesson you will learn some of them such as,any number that ends in 0, 2, 4, 6, or 8 is divisible by 2, divisibility by 5 we...
Unit Plan
Khan Academy

Khan Academy: Factor With the Distributive Property

For Students 5th - 7th
Practice applying the distributive property to factor numerical expressions (no variables). Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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University of Waterloo (Canada)

University of Waterloo: Cemc: Math Circles: Number Theory Ii [Pdf]

For Teachers 9th - 10th
This worksheet provides a series of problem-solving questions that require higher order thinking skills. Questions will include finding the greatest common divisor, and least common multiple.
Handout
Other

Sierra College: Elementary Algebra Review Sheet and Common Formulas

For Students 9th - 10th
This review sheet includes important rules, properties, formulas, and equations needed to solve many Algebra problems.
Unit Plan
Khan Academy

Khan Academy: Gcf & Lcm Word Problems

For Students 5th - 7th Standards
Solve word problems where you either need to find the GCF or LCM. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Activity
Other

Help With Fractions: Finding the Least Common Multiple

For Students 3rd - 8th Standards
This website gives an excellent explanation of how to find the least common multiple. It offers two different methods and gives easy to follow step by step directions.
Article
Cuemath

Cuemath: Least Common Multiple

For Students 5th - 8th Standards
Learn about the properties of Least Common Multiples (LCM) and the three methods to find the LCM. Included are solved examples and interactive problems for review.
Unit Plan
Khan Academy

Khan Academy: Prime and Composite Numbers Intro

For Students 4th Standards
Discusses factors, prime and composite numbers, and why the number 1 is not prime or composite. Includes practice problems throughout, along with explanations of solutions.
Website
PBS

Pbs Learning Media: Harry the Substitute Teacher

For Students 3rd - 4th
Harry and his students look at various arrangements of classroom desks in this video from Cyberchase.
Lesson Plan
George Mason University

Margo Mankus: Investigating Lcm and Gcf Using Rods

For Teachers 9th - 10th Standards
This lesson plan is for an activity using rods (Cuisenaire Bars) to help students understand the concept of factors, in particular the LCM and GCF of two numbers.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Graphing Calculator Practice Problems Number Theory

For Students 9th - 10th Standards
Practice using your graphing calculator for number theory problems, including prime factorization, greatest common factor, least common multiple, and scientific notation. If you get stumped or if you would like to check your work, then...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Picturing Factors in Different Orders

For Teachers 5th - 8th
The purpose of this task is to help learners picture the multiplicative structure of the number 30 in different ways. Some of this structure is easier to communicate using grouping symbols, as it is easier to interpret...
Activity
University of Cambridge

University of Cambridge: Nrich: Making Sticks

For Students 3rd - 8th Standards
On this one page website sharpen your logic, factors, and multiples skills while working on this challenge. The solution is available to double check your solution.
Activity
University of Cambridge

University of Cambridge: Nrich: Block Four

For Students 3rd - 5th
On this one page website sharpen your logic, factors, and multiples skills while working on this challenge. The solution is available to double check your solution.
Activity
Texas Instruments

Texas Instruments: Oliver's Method

For Teachers 6th - 8th Standards
Students discover a relationship between the Greatest Common Factor (GCF) and the Least Common Multiple (LCM) of two numbers. Students will find and justify the relationship that the product of two numbers is equal to the product of the...
Interactive
Topmarks Online

Topmarks: Multiples and Factors

For Students 4th - 6th Standards
A multiple-choice game with two game modes. In the first, you need to identify the Lowest Common Multiple and in the second the Highest Common Factor. Questions increase in difficulty depending on accuracy.
Unit Plan
Khan Academy

Khan Academy: Greatest Common Factor

For Students 5th - 7th Standards
Find the greatest common factor of 2 or 3 integers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Zeroes/roots of Polynomials

For Students 9th - 10th Standards
Learn about the root or zero of a polynomial with this reference guide. Includes definitions, step-by-step instructions on how to find all the zeroes for a given polynomial, and multiple examples. Also included is a description of The...
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Elias Saab

Math Drills: Lcm and Gcd Quiz

For Students 9th - 10th Standards
An interactive quiz which provides students with two numbers and asks them to find either the Least Common Multiple or the Greatest Common Divisor between them. Students input their solution and have the program evaluate it. Hints are...
Activity
Teaching Treasures Publications

Teaching Treasures: Year Eight Nine Math (Page 1)

For Students 9th - 10th
Review a variety of number sense skills using this interactive worksheet. Concepts include greatest common factor, lowest common multiple, rounding to the nearest thousandth, and determining percent. Answers can be checked immediately...
Lesson Plan
Alabama Learning Exchange

Alex: My Favorite Number

For Teachers 4th - 7th
The activity allows students to review many of the number theory concepts. Students will pick a composite number write verbal expressions about the number, find the factors, prime factorization, list multiples, draw a cartoon character...
Interactive
CK-12 Foundation

Ck 12: Math Grade 4

For Students 4th
Browse resources related to fourth-grade math standards. Click on a topic for interactive lessons, videos, and extra practice.
Study Guide
Other

New York State Education Department: Seventh Grade Math, Book One (2006) [Pdf]

For Students 6th - 8th
Part one of two; The March 2006 7th grade Math test from the State of New York. The test is 30 multiple-choice questions ranging among topics such as number sense (scientific notation, factors), geometry (shape identification, nets),...
Activity
University of Cambridge

University of Cambridge: Nrich: What's Left?

For Students 3rd - 5th
On this one page website sharpen your logic and factor recognition skills while working on this challenge. The solution is available to double check your solution.