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Mathematics Assessment Project

Solving Quadratic Equations

For Teachers 9th - 12th Standards
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.
Lesson Plan
Willow Tree

Multiplying Polynomials

For Students 8th - 11th Standards
Make two parts into a whole. Scholars learn to multiply polynomials to create a simplified polynomial expression. Polynomials include monomial, binomials, and trinomials. 
Lesson Plan
West Contra Costa Unified School District

Simplifying Radicals – Day 1

For Teachers 8th - 10th
It doesn't get simpler than this. Scholars first learn to simplify radicals by determining the prime factors of the radicand. The lesson progresses to simplifying radicals involving algebraic expressions in the radicand.
Lesson Plan
West Contra Costa Unified School District

Exploring Quadratics and Graphs

For Teachers 6th - 8th Standards
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.
Lesson Plan
West Contra Costa Unified School District

Divisibility Rules Justified

For Teachers 6th - 8th
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...
Assessment
Inside Mathematics

Sorting Functions

For Teachers 9th - 12th Standards
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
Assessment
Illustrative Mathematics

Fred's Fun Factory

For Students 9th - 12th Standards
Spin to win! Individuals calculate the average number of tickets expected based on a probability distribution for the number of tickets per spin. Pupils use that information to determine the average number of tickets that can be won...
Lesson Plan
Virginia Department of Education

Rational Expressions

For Students 9th - 12th Standards
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....
Activity
5280 Math

Pythagorean Triples

For Teachers 10th - 12th
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...
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EngageNY

Structure in Graphs of Polynomial Functions

For Students 10th - 12th Standards
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...
Lesson Plan
EngageNY

Using Matrix Operations for Encryption

For Teachers 11th - 12th Standards
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...
Lesson Plan
EngageNY

Completing the Square (part 1)

For Students 9th - 10th Standards
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...
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EngageNY

Deriving the Quadratic Formula

For Students 9th - 10th Standards
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...
Worksheet
Curated OER

Solving Quadratic Trigonometric Equations

For Students 10th - 12th
In this trigonometry learning exercise, students solve quadratic trigonometric equations. The seven page learning exercise contains explanation, examples, and sixteen multi-part questions. Answers are not included.
Lesson Plan
Curated OER

Translate Word Phrases and Sentences into Equations

For Teachers 8th - 11th Standards
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...
Lesson Plan
Curated OER

Simplifying Square Roots

For Teachers 9th - 12th
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.
Lesson Plan
Curated OER

Multiplying and Dividing Fractions and Mixed Numbers

For Teachers 5th - 6th
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.
Lesson Plan
Curated OER

How Simple Is Your Rational Expression?

For Teachers 8th - 10th
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...
Lesson Plan
Curated OER

To Quote or Not to Quote

For Teachers 6th - 10th
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...
Lesson Plan
Curated OER

The Attack of the Manhole Monsters

For Teachers 9th - 12th
High schoolers 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.
Worksheet
Curated OER

Simplifying Before Multiplying

For Students 4th - 6th
Learners discover why they should simplify before multiplying fractions. They respond to 12 questions that require them to simplify fractions prior to multiplying them.
Lesson Plan
Curated OER

Multiplying and Dividing Fractions and Mixed Numbers

For Teachers 4th - 6th
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...
Lesson Plan
Curated OER

Beginning Addition Word Problems

For Teachers K - 2nd
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.
Interactive
Curated OER

The Method of Integration by Partial Fractions

For Students 9th - 10th
In this calculus instructional activity, learners solve problems using integration by partial fractions. They add fractions to get a common denominator, then take the derivative. There are 20 questions with an answer key.

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