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.
EngageNY
Structure in Graphs of Polynomial Functions
Don't allow those polynomial functions to misbehave! Understand the end behavior of a polynomial function based on the degree and leading coefficient. Learners examine the patterns of even and odd degree polynomials and apply them to...
West Contra Costa Unified School District
Simplifying Radicals – Day 1
It doesn't get simpler than this. Scholars first learn to simplify radicals by determining the prime factors of the radicand. The instructional activity progresses to simplifying radicals involving algebraic expressions in the radicand.
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
West Contra Costa Unified School District
Divisibility Rules Justified
How do you know if a number is divisible? Instructors first prove the divisibility rules for three and four and then class members use this modeling to prove given divisibility rules for eight and nine either individually or in groups.
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 square.
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...
Virginia Department of Education
Rational Expressions
Demonstrate the progression of operations with rational expressions through a multi-day lesson, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational expressions. They learn...
Curated OER
Translate Word Phrases and Sentences into Equations
Use this video to show your learners an example of how to translate word phrases into an equation to solve a real-world problem. The presenter begins with a review of how to use cross products to solve a proportion, including how to do...
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
Multiplying and Dividing Fractions and Mixed Numbers
Help math learners discover how to multiply fractions and mixed numbers. They will explore visual examples of the operations. They also practice solving problems that their instructor models.
Curated OER
How Simple Is Your Rational Expression?
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
Curated OER
To Quote or Not to Quote
Introduce your middle and high schoolers to the correct use of quotation marks. They identify examples of correct and incorrect quotations in magazines and edit a paragraph in groups. Use this lesson as a way to reinforce proofreading...
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.
Curated OER
Number Theory
Learners explore the concept of number theory. They discuss an assortment of number theory topics such as prime numbers, composite numbers, GCF, modular arithmetic, and others in a lecture style discussion. Pupils view videos about these...
Curated OER
Operations with Fractions and Decimals
Complete a lesson that introduces and explores operations with fractions and decimals. Pupils estimate the reasonableness of a decimal computation. Then discuss what operation is needed to find an answer. Handouts, web sources, and other...
Curated OER
Multiplying and Dividing Fractions and Mixed Numbers
Upper graders study fraction and mixed number division and also review fraction multiplication. In this fraction and mixed numbers lesson, learners work with the teacher in an oral problem solving method to multiply and divide fractions...
Curated OER
Beginning Addition Word Problems
In this finding the sums of word problems worksheet, students add the one-digit word numbers and numerals and use the pictures to assist them. Students solve four problems.
Curated OER
Mastering Math Vocabulary of Prime and Composite Numbers Using Venn Diagrams
Create Venn diagrams. Your class will discover the relationships between even and prime numbers. Next, they will compare that to the relationship between odd and composite numbers.
Curated OER
Difference of Squares
Students analyze arithmetic statements. In this difference of squares lesson, students explore patterns and factor the difference of two squares. They compare quantities with integers. Students model and solve equations.
Curated OER
Multiply Polynomials
Learners solve polynomial problems. In this algebra lesson, students multiply polynomial equations using FOIL and quadratic formula. They complete the square and factor by grouping.
Curated OER
One Hundred Hungry Ants (Multiplication and Division)
Fourth graders explore factors of numbers from 1 to 50. They gain practice with basic facts and multi-digit multiplication problems. Students practice the commutative property. They discover the link between multiplication and...
Curated OER
TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, learners explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics and...
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