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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.
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.
Lesson Plan
Better Lesson

Better Lesson: Investigating the Properties!

For Teachers 4th Standards
In this lesson, 4th graders will investigate and discuss the familiarity with factors and multiples to gain a deeper understanding. Downloadable printables are included.
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.
Unit Plan
E-learning for Kids

E Learning for Kids: Math: Igloo: Multiplication

For Students 3rd - 5th Standards
On this interactive website students practice various math skills using a real life scenario with a hockey team. Those skills include completing multiplication facts up to 100, making a list of multiples of a number, and locating factors...
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.
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Math Aids

Math Aids: Fractions Worksheets

For Teachers K - 1st Standards
Great resource for learning and practicing fractions and their different operations. Math worksheets are printable, may be customized, and include answer keys.
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
Discovery Education

Discovery Education: Web Math: Find the Least Common Multiple of Some Numbers

For Students 3rd - 8th Standards
Use this site to find the Least Common Multiple (LCM) of any set of numbers. Simply type in your numbers, and the site will provide the answer complete with a full explanation.
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...
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Greatest Common Factors, Least Common Multiples

For Students 9th - 10th
Math Forum response to request for info on how to find greatest common factors, and how this compares to least common multiples. Explanation includes examples of each.
Handout
Other

Brown Math: Solving Polynomial Equations

For Students 9th - 10th Standards
The many facets of factoring polynomials and solving polynomial equations are explained here in great detail. Taking students from basic definitions through the Descartes Rule of Signs, this is a valuable tool for math classes.
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: 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.
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...
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.
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Khan Academy

Khan Academy: Least Common Multiple

For Students 6th - 8th
In this exercise, students practice finding least common multiple. Students receive immediate feedback and have the opportunity to get hints and try questions repeatedly.
eBook
Math Planet

Math Planet: Finding the Least Common Multiple

For Students 6th - 8th Standards
Gain an understanding of the least common multiple by viewing an example and a video lesson.
Handout
Math Medics

S.o.s. Math: Fundamental Theorem of Algebra

For Students 9th - 10th Standards
This lesson takes a look at the Fundamental Theorem of Algebra. It gives information on solving multiplicity of roots and quadratic polynomials. Also gives a brief history and provides some learning exercises to practice.
Unit Plan
Khan Academy

Khan Academy: Math Patterns 2

For Students 3rd - 5th Standards
Generate terms in a pattern when given a rule. Identify features of a pattern that are not explicit to the rule itself. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive...
Unit Plan
Shmoop University

Shmoop: Basic Operations: Lcm & Gcf

For Students 9th - 10th Standards
Students learn about the least common multiple and the greatest common factor. The resource consists of notes, step-by-step examples, and practice problems with solutions.

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