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.
EngageNY
Does Every Complex Number Have a Square Root?
Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...
Curated OER
Volumes of Rectangular Prisms
High schoolers 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
Adding and Subtracting Rational Expressions
In this adding and subtracting rational expressions worksheet, students solve 22 problems with complex denominators. Eight problems have common denominators, for the other 14, students must first multiply to find the common denominator.
Curated OER
More on Factors, Zeros, and Dividing
Students explore the concept of finding zeros of polynomials. In this finding zeros of polynomials activity, students find the zeros of polynomials given one zero. Students factor and find all the zeros of 18 polynomials.
Curated OER
Simplify Rational Expressions
In this simplifying rational expressions worksheet, high schoolers solve 18 rational expression problems. Students find common denominators and factor quadratics to simplify rational expressions.
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...
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
Illustrative Mathematics
An Integer Identity
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
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...
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 that makes a strong connection to the symmetry of the graph and its key features before individuals write...
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,...
5280 Math
Pythagorean Triples
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...
Curated OER
Super Factors
Students complete activity pages. In this factors lesson, students practice finding the factors of numbers. They discuss prime factors and prime factorization and learn how to complete a factor tree.
Curated OER
Factoring Numbers Worksheet
In this mathematics worksheet, 6th graders find all factors of 20 integers. They may self correct their work by selecting the link at the bottom of the page.
Curated OER
Quadratic Equations and Binomial Square Theorem
Students factor quadratic equations. In this algebra lesson plan, students apply the binomial square theorem to solve quadratics. They complete the square and use the complex number system to solve for the roots.
Curated OER
Vertex and Factored Form of Quadratic Functions
Learners graph quadratic equations. In this algebra lesson, students solve quadratic equations by factoring. They identify the end behavior of the graph.
Curated OER
Multiplying by a Monomial
In this algebra instructional activity, students factor monomials. They identify the roots of polynomials. There is one question with an answer key.
Curated OER
Multiplying and Dividing Rational Expressions
In this algebra worksheet, students solve rational expression with multiplication and division. They factor and simplify. There are 6 questions with an answer key.
Curated OER
Solving Equations Using More than One Operation
In this algebra worksheet, students solve equations using addition, subtraction, multiplication and division. They solve word problems using equations. There are 5 questions with an answer key.
Curated OER
Simplifying a Square Root
In this algebra worksheet, students simplify square roots. They add and multiply the roots. There are 5 questions with an answer key.
Curated OER
EOC Review G
In this end of course review, students factor expressions, interpret statistic problems, and identify the maximum and minimum of equations. This two-page worksheet contains 5 multi-step problems.
Curated OER
Rational Expressions
In this Algebra II worksheet, 11th graders simplify rational algebraic expressions by factoring and cancelling the common factors. The two page worksheet contains instruction, worked examples, and three practice problems. Answers are...
Curated OER
Unit II - Version 5.0 - Worksheet 1 - Time & Distance
In this time and distance worksheet, students read story problems and determine the distance between points. They factor polynomials and solve exponential equations. Students simplify equations through factoring. This seven-page...
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