Illustrative Mathematics
Numbers in a Multiplication Table
Identifying patterns is a crucial skill for all mathematicians, young and old. Explore the multiplication table with your class, using patterns and symmetry to teach about square numbers, prime numbers, and the commutative and identity...
Illustrative Mathematics
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...
Illustrative Mathematics
Computations with Complex Numbers
This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that...
Illustrative Mathematics
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...
Illustrative Mathematics
Zeroes and factorization of a non polynomial function
Functions behaving badly: the squaring function and the absolute value function are both zero at x=0. Yet when you divide each by x, different things happen. Here, your class will explore each scenario as a means to adding depth to their...
5280 Math
Polygon Polynomials
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
Curated OER
Math Games for Skills and Concepts
A 27-page packet full of math games and activities builds on algebra, measurement, geometry, fractional, and graphing skills. Young mathematicians participate in math games collaboratively, promoting teamwork and skills practice.
Curated OER
Mathematical Treasure Hunt
The hunt is on! Young mathematicians follow clues and complete a series of ten math puzzles as they try to crack Dr. Integer's code and find the location of his hidden treasure.
Illustrative Mathematics
Cari's Aquarium
The volume of a fish tank is a rather important measure when it comes to building an aquarium for different species of fish. In this problem, your kids look at how many different ways they can make a fish tank of a specific volume,...
Illustrative Mathematics
The Locker Game
Here is a learning activity that incorporates a classic puzzle in mathematics. Young mathematicians are guided through a series of statements that describe rounds of pupils opening and closing lockers. The first person opens all 20...
Illustrative Mathematics
An Integer Identity
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
Curated OER
Seeing Dots
Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.
Math Is Fun
Math Is Fun: Prime Factorization
Find a definition or prime numbers and prime factorization, as well as examples on how to find the prime factors of 12 and 147. Also, follow a link to a Prime Factorization Tool.
Amby Duncan-Carr
Prime Factorization: Amby's Resources
What is prime factorization? This site goes through a step-by step process explaining different ways to find the prime factorization.
Elias Saab
Math Drills: Prime Factorization Quiz
This site is an interactive quiz which provides students with a prime factorization problem. Students input their solution and have the program evaluate it. Hints are available if the student needs them, and explanations are provided...
Texas Instruments
Texas Instruments: Factors Galore C: Prime Factorization
In this activity, students use the calculator to find the prime factorization of a number.
Math Medics
S.o.s. Math: Factoring Integers
This S.O.S. tutorial gives students a basic review of factoring integers. Follow the tutorial to refresh your skills involving the rules for factoring numbers. Contains practice problems with links to the answers.
Purple Math
Purplemath: Factoring Numbers
Visit Purplemath.com for a lesson on finding the prime factorization of numbers. Numerous examples are worked through step by step.
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
National Council of Teachers of Mathematics
The Math Forum: Factoring Polynomials
Links to numerous question/answer sessions on factoring polynomials.
University of Saskatchewan (Canada)
University of Saskatchewan: Factoring Polynomials
This site from the University of Saskatchewan provides an explanation of factoring by grouping, greatest common factor, perfect squares, and difference of squares. Higher degree polynomials factored as well. Some examples provided along...
Math Medics
S.o.s. Math: Factoring: Some Special Cases
In this lesson, special cases of factoring are described, including perfect squares, difference of squares, and difference and sum of cubes. Exercises with answers included.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Factoring Polynomials by Grouping
Twenty-five problems on factoring polynomials by grouping. To review the basics on this topic, click the "View Lesson" button at the top.