Factoring Teacher Resources
Find Factoring educational ideas and activities
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Factors, Divisibility, and Relatively Prime
Seventh graders explore the concept of divisibility. In this divisibility lesson, 7th graders use divisibility rules to find factors of numbers. Students create foldables to illustrate divisibility rules.
Operations and Algebraic Thinking
How to use the relationship between multiplication and division to solve math word problems is the focus of the lesson presented here. In it, fourth graders work in groups to solve problems posed by the teacher. Then, each group is given paper cups and uses them as a manipulative to solve another problem. Finally, each group completes the problems on a worksheet entitled, "What to do with Remainders," and shares their results with the class. Other terrific worksheets are embedded in this fine plan.
Put your math pupils’ division skills - and algebra skills - to the test with this video, which introduces the concept of polynomial division. Sal's examples increase in complexity as the video progresses, allowing viewers to see how basic skills can be applied to both simple and complicated problems.
GCF and Factoring by Grouping
Students factor polynomials using the gcf and grouping. In this algebra lesson, students factor polynomials using Algebra Lab Gear.
Common Divisibility Examples
Equipped with several examples from the attached module and from standardized tests, Sal takes viewers through the process of prime factorization and divisibility. He demonstrates each skill several times with many different numbers, allowing them to see each step in his work.
Finding Factors of a Number
If your class has watched the Khan Academy video on recognizing divisibility, they will have a good foundation for this video on finding factors. Sal demonstrates how to find factors of a number by using the divisibility rules and systematically testing each number that could be a factor. This video is complete and clear and would complement a lesson nicely.
Multiplication and Division Pick 'n' Mix 2
Fifth graders practice a wide range of strategies for solving multiplication and division problems with whole numbers and decimal fractions. They interact with operations on decimals, relevant size and place value of decimals to three places and properties of operations with fractional numbers and integers.
Older elementary students will appreciate how clearly Sal explains how to find the prime factorization of 75. He shows the complete process, taking note of numbers that are, and are not primes, and why.
Factoring Trinomials with a Common Factor
Use division and factoring to determine the leading 1 coefficient. This presentation thoroughly explains how to factor a trinomial in order to determine its common factors.
Factor by Grouping And Factoring Completely
Useful as a classroom resource, a computer lab assignment, or even a homework supplement, this video shows viewers some more techniques for factoring polynomials. Once they have mastered the art of factoring, the rest of algebra will become simpler to them - especially if they continue to watch Sal's series on quadratics and other algebraic equations.
Find the Factors and Prime Factors
Show the class how to find the factors of numbers. They use a variety of strategies, including unifix cubes, to find the factors of a whole number. This resource includes clear procedure to follow. Included are an anticipatory set, materials list, and a link to a printable homework page.
Monomial Greatest Common Factor
Sal explains that the greatest common factor of any number is the largest number divisible into both monomials and not necessarily the number with greatest value. He breaks down two numbers into their prime factors as a product of its primes then identifies the GCF of greatest common factor.
Factoring Perfect Square Trinomials
Introduce young mathematicians to the concept of factoring trinomials with perfect squares. This descriptive video provides a meaningful explanation of the factoring process. Each step is carefully written out in various colors during the demonstration, making this resource very helpful for those needing additional support.
The divisibility rules are invaluable tools to possess. Sal teaches students to recognize divisibility using the divisibility rules. He explains why 380 is divisible by some numbers and not by others. Tip: Create a handout on the divisibility rules. Easy access to the rules will help students build their number sense and their ability to compute division facts with automaticity.
Factoring Using the Area Model
There are methods to make factoring less mysterious, and more fun, for students.
Reasoning about Multiplication and Division and Place Value, Part 1
Help your class make sense of quantities and their relationships. Given is the product of two numbers. It is up to your number crunchers to think about the quantitative relationship when the product is one-tenth or ten times the product of the same two numbers. Encourage learners to develop their own strategies. Difficulty may come with the division portion of the exercise.
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a function rather than the Remainder Theorem as building blocks towards this generalization. Included are detailed solutions and commentary for the teacher.
Prime Numbers and Factors
Solving factor trees is a helpful way to introduce prime numbers. Your math class practices using this method along with two-column tables to find if a number is prime or not. They also learn other vocabulary, such as composite numbers, that help them understand the concept of prime numbers.
Zeroes and factorization of a quadratic polynomial I
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder Theorem. All three problems can be used as part of a lesson, or the first two as part of an assessment. Included are detailed solutions and helpful hints for the teacher.
Factorizing Algebraic Expressions
In this comprehensive learning exercise, mathematicians solve and complete various types of problems on factoring and using the quadratic formula. This learning exercise also includes the use of factoring to simplify rational expressions. Overall, it provides a good review or study guide.