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Illustrative Mathematics
Which Function?
Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations.
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Primes and Prime Factors
In this primes and prime factors learning exercise, 8th graders solve 21 different problems to include identifying each number as prime, composite, or neither prime nor composite and listing all the primes less than 200. Then they...
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Fred's Fun Factory
Round and round and round she goes. Where she stops, nobody knows. This activity uses a common arcade game of chance, the spinning wheel, as a platform for computing expected values, interpreting results, and applying this knowledge to...
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Factor by Grouping
For this factor by grouping worksheet, students factor given algebraic expressions. This four-page worksheet contains 20 multi-step problems. Answers are provided on the last page.
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The Remainder and Factor Theorems
For this remainder and factor theorems worksheet, 11th graders solve and complete 10 different problems. First, they divide using synthetic division and write their answer in the form given. Then, students use synthetic division to find...
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Solving Quadratic Equations/ The Quadratic Formula
In this quadratic equations worksheet, students solve 10 problems using the quadratic equation. The worksheet provides a good explanation of the quadratic formula and then provides students practice using it. This is an interactive...
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Problem-Solving Strategy: Use Logical Reasoning
In this problem-solving instructional activity, students solve 1 mathematical word problem by figuring out the answers to 7 questions. Students record their answers on the lines provided.
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Multiplication Math Problems
In this multiplication worksheet, students problem solve 60 multiplication math problems dealing with the multiples of 2, 3, 4, 5, 6, 7, 8 and 9.
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Factoring Quadratic Expressions
In this Algebra II worksheet, 11th graders factor quadratic expressions. The two page worksheet contains explanation of topic, worked examples, and three practice problems. Answers are not included.
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Factoring Differences of Squares
For this factoring worksheet, 9th graders solve and complete 27 different problems that include factoring the differences of squares. First, they state whether each binomial can be factored as a difference of squares. Then, students...
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Grade 5 Math: Factorization 2
In this grade 5 math worksheet, 5th graders write 8 numbers as the product of their prime factors, using exponents to show multiples of the prime factor when needed.
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Leveled Problem Solving: Prime Factorization
In this prime factorization worksheet, students solve a set of 6 problems related to prime factorization, including determining whether numbers are prime or composite and determining factors.
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Factoring Completely
In this algebra activity, students factor out polynomials using the GCF. They identify special patterns or formula and factor those out first. There are 11 polynomial problems of different degrees.
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Factoring a Difference Between Two Squares Worksheet
For this algebra 1 worksheet, students factor 20 problems involving the difference of two squares. They check their answers on-line.
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Factoring a GCF From an Expression
In this Algebra worksheet, students find the Greatest Common Factor of two or three terms and divide it out. They rewrite the expression using parenthesis. Students may self check their answers by selecting the link at the end of the...
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Factoring Using the Distributive Property
In this factoring worksheet, 9th graders solve and complete 19 different problems that include using the distributive property to solve. First, they complete each statement with the correct information. Then, students factor each...
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Solving Equations by Factoring
In this solving equations by factoring worksheet, students solve and complete 10 different problems. First, they solve each equation using the Zero product property. Then, students define a variable and use an equation to solve the...
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Linear Systems: Permutations and Transposes
For this permutation worksheet, students multiply matrices, explore symmetric matrices, permutation matrices, and properties of the transpose. This three-page worksheet contains explanations, examples and four problems.
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Factoring Using the Distributive Property
In this factoring worksheet, 9th graders solve and complete 37 different problems that include using the distributive property. First, they complete each statement with the correct information. Then, students factor each polynomial using...
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Factoring Trinomials
In this factoring trinomials worksheet, 9th graders solve and complete 18 different problems that include identifying the product and sum of numbers. First, they factor the GCF from each group of numbers and complete. Then, students...
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Solving Equations by Factoring
In this solving equations instructional activity, 9th graders solve and complete 14 different problems by factoring. First, they determine the method they will use to solve each equation. Then, students simplify each side of the...
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Solving Equations by Factoring
In this solving equations worksheet, 11th graders solve and complete 16 different problems by factoring. First, they write the four steps for solving a quadratic equation. Then, students verify each solution to an equation using a...
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...