EngageNY
Distributing Expressions
You know how to factor expressions; now it's time to go the opposite way. Scholars learn to write algebraic expressions in expanded form using the distributive property. A problem set helps them practice the skill.
Curated OER
Prime and Composite Numbers
Prime and composite numbers are the focus of this mathematics lesson. In it, learners practice techniques for identifying these two types of numbers. They utilize the Inspiration program to complete a task that is clearly explained, and...
Curated OER
Quadratic Equations
Using the provided worksheets, high schoolers solve equations involving factoring and finding square roots. At the conclusion of the lesson, they discuss the answers and any difficulty experienced in solving the equations.
Curated OER
Volumes of Rectangular Prisms
Students determine the volume of a rectangular prism. They then maximize and minimize the volume given variable side lengths. Finally, they factor the volume equation to determine the side lengths.
Curated OER
Quadratic Equations and Functions
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree. Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few...
Curated OER
Simplifying Rational Expressions
This is a 10-problem worksheet on simplifying rational expressions. Most of the problems require factoring. It is assumed that the domain of variables do not include values for which any denominator is zero. Answers are included.
Curated OER
Dividing Rational Expressions
In this worksheet, students divide rational expressions and write the answer in simplest form. The problems start out as fractions with monomials and gradually become more complex with factoring required. This one-page worksheet...
Curated OER
Graphs and Transformations of Functions
Is it possible to solve quadratic equations by factoring? It is, and your class will graph quadratic equation and functions too. They perform transformation on their graphs showing increasing and decreasing intervals, domain, and range....
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Factoring Trinomials
Students factor trinomials. In this algebra lesson, students use special patterns and formulas to factor. They utilize algebra tiles as a hands-on method for gaining practice with trinomials.
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Factoring Polynomials
In this polynomial worksheet, learners completely factor given polynomial equations. There are 40 problems on this two-page worksheet.
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Prime Factorization
In this math worksheet, students find the solutions to the whole numbers through finding the prime factorization. This could be done using number trees.
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Factoring Trinomials
Students factor trinomials and other quadratic functions. In this algebra instructional activity, students solve trinomials containing negative and positive coefficients. They factor quadratics of difference squares as well as regular...
EngageNY
The Zero Product Property
Zero in on your pupils' understanding of solving quadratic equations. Spend time developing the purpose of the zero product property so that young mathematicians understand why the equations should be set equal to zero and how that...
Chicago Teachers Union Quest Center
Factored Form of a Quadratic Function
Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...
Curated OER
Multiplying Polynomials
Learners investigate polynomials. In this algebra instructional activity, students solve problems dealing with multiplication of polynomials by using the distributive property and the FOIL method. Learners...
Curated OER
Watch Your P's and Q's
Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.
Curated OER
Smart Cookie Factors
Learners examine the concept of finding the greatest common factor. They complete number of activities as they practice identifying prime and composite numbers. Pupils apply rules of divisibility and find the greatest common factor while...
Center for Mathematics and Technology
Whole Numbers: Using an Area Model to Explain Multiplication
There are many ways to work through a multiplication problem. Using an area model, kids complete several worksheets with different types of multiplication problems, including multiplying by ten, and explain how the new strategies differ...
EngageNY
Graphing Quadratic Functions from Factored Form
How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson plan that makes a strong connection to the symmetry of the graph and its key features before individuals...
EngageNY
Modeling with Quadratic Functions (part 1)
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...
EngageNY
Graphing Quadratic Functions from the Standard Form
Use context to explain the importance of the key features of a graph. When context is introduced, the domain and range have meaning, which enhances understanding. Pupils use application questions to explore the key features of the graph...
Curated OER
Multiplying Radical Expressions
In this algebra worksheet, young scholars multiply 4 radical expressions. They simplify 6 expressions by factoring out perfect squares. Students combine multiplication and simplification on three problems.
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Factors
Practice factoring numbers by using graph paper, manipulatives and computer applets.
Curated OER
Transition to algebra
Students recognize the difference between a prime and a composite number. In this prime and composite number instructional activity, students use a factor tree model to show prime factorization. Students participate in a...