Curated OER
Factorize the Quadratic Equation
For this factoring the quadratic equation worksheet, students show their work as they factorize 5 problems. They use the workspace given on the page to show their work.
Curated OER
Factorize
In this factorization worksheet, students factorize equations containing variables and parenthesis. Students complete 5 problems.
Curated OER
Simple Rational Expressions
In this algebra worksheet, learners solve rational expression by factoring. They simplify the expressions using the greatest common factor. There is one detailed example of how to simplify a rational expression.
Curated OER
Operations with Radicals
In this operations with radicals worksheet, 9th graders solve and complete 26 different types of problems. First, they simplify each radical expression by factoring. Then, students express each radical expression in simplest radical...
Curated OER
Rational Fractions
In this rational fractions activity, 9th graders solve 10 different types of problems that include adding and subtracting. First, they factor each denominator completely, including constant factors, and express repeated factors in...
Curated OER
Math: Am I Prime?
Seventh graders determine the difference between prime and composite numbers. On a Website, they discover a method to identify all the prime numbers up to 100 and also complete several online activities. Once they have discussed the...
Curated OER
Calculate the Slope of a Line Using Two Points
Find that slope! This video does an excellent job of demonstrating how to use the slope formula to find the slope of a line using two points. The instructor first reviews the definition of slope of a line, then works three problems using...
Ohio Department of Education
The Solution is Complex
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
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...
EngageNY
Deriving the Quadratic Formula
Where did that formula come from? Lead pupils on a journey through completing the square to discover the creation of the quadratic formula. Individuals use the quadratic formula to solve quadratic equations and compare the method to...
EngageNY
Using Matrix Operations for Encryption
Data encryption is an important security measure for sensitive data stored on computers. Pupils learn how to utilize matrices for creating code. They also get a great review of matrix multiplication, inverse matrices, and the identity...
EngageNY
Completing the Square (part 1)
Avoid the trap of memorizing steps when completing the square with a resources that provides a conceptual approach to completing the square. Learners that are able to recognize a perfect square trinomial are ready to complete the...
Curated OER
Rational Expressions: Simplifying
This two-day lesson will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The lesson contains powerpoint presentations, worksheets, and answer key.
Mathematics Assessment Project
Solving Quadratic Equations
Scholars first complete an individual assignment using a quadratic equation to model the movement of a bus around a corner. Learners then discuss their solutions with classmates and analyze the provided sample responses.
Illustrative Mathematics
Sand Under the Swing Set
Help the local elementary school fix their playground by calculating the amount of sand needed near the swing set. The problem practices setting up proportions and ratios with three different options for solving. You can chose the option...
Willow Tree
Multiplying Polynomials
Make two parts into a whole. Scholars learn to multiply polynomials to create a simplified polynomial expression. Polynomials include monomial, binomials, and trinomials.
Curated OER
Mathematics Within: Algebraic Processes and Its Connections to Geometry
Fifth graders discover the connections between algebra and geometry. With a focus on arrays and factors, they are introduced to multiplication. They develop an array for multiples of 2 through 10 and identify the factors of each row....
Curated OER
Mathematics: Prime and Composite Numbers
Sixth graders explore how to apply the commutative property and the rules of divisibility. They examine the difference between prime and composite numbers.
Curated OER
Prime Numbers and Factors
Students determine factors of numbers to 100 and identify prime factors; students differentiate prime and composite numbers by the factors of the numbers.
Curated OER
The Case of the Missing Middle Term
Students examine the difference of squares equation, and multiply binomials using the FOIL method. They complete the Case of the Missing Middle Term worksheet.
Curated OER
the Max And Min of a Capt'n Crunch Box
Students use knowledge of area and volume to explore minimum and maximum. They create models and determine a "best" shape for getting the maximum volume or minimum area.
Curated OER
Simplifying Square Roots
Discuss the definition for a simplified form for a square root. Middle schoolers analyze different forms of a square root, the Product Property of Square Roots, and complete a worksheet.
Curated OER
Simplifying Before Multiplying
Learners discover why they should simplify before multiplying fractions. They respond to 12 questions that require them to simplify fractions prior to multiplying them.
Curated OER
The Attack of the Manhole Monsters
Students explore the concept of similarity. They examine such topics as ratio of corresponding sides, internal ratios and scaling factors. After watching a video, student groups perform experiments outside the school building.