EngageNY
Analyzing a Data Set
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...
EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
Virginia Department of Education
Functions: Domain, Range, End Behavior, Increasing or Decreasing
Examine key features of various functions through exploration. A comprehensive instructional activity has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include...
EngageNY
Successive Differences in Polynomials
Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...
EngageNY
Modeling a Context from a Verbal Description (part 2)
I got a different answer, are they both correct? While working through modeling problems interpreting graphs, the question of precision is brought into the discussion. Problems are presented in which a precise answer is needed and...
EngageNY
Existence and Uniqueness of Square Roots and Cube Roots
Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...
EngageNY
Solving Equations with Radicals
Show learners how to develop a procedure for solving equations using radicals with the fifth instructional activity of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations....
Curated OER
Calculator Tricks: The Golden Prediction
Excite the class with a mathematical trick, a calculator, and a good number sense. They use the directions provided on each slide to make a list of numbers, use their calculator to divide, and find the golden mean. A little history on...
Curated OER
Quadratic Formula with Imaginary Numbers
For this quadratic equation worksheet, students use the quadratic formula to solve 6 fill in the blank problems that involve imaginary numbers.
Curated OER
Applications and Problem Solving Using Quadratic Equation
In this problem solving worksheet, students read short statements, translate them into algebraic equations and solve them. They solve 12 equations on this two-page worksheet.
Curated OER
Linear & Quadratic Functions
For this linear and quadratic equations worksheet, 9th graders solve 10 different problems related to various linear and quadratic functions. First, they determine the value of a variable by equating linear and quadratic equations. Then,...
Curated OER
Solving Quadratic Equations
In this quadratic equations worksheet, 9th graders solve 10 different problems that include various quadratic equations. First, they factor out the equation and set it to zero. Then, students solve each factor and check their work by...
Curated OER
Quadratic Equations
In this quadratic equations worksheet, students solve quadratic equations. They write quadratic equations to solve a specified situation. This one-page worksheet contains 3 problems.
Curated OER
Quadratic Equations
Tenth graders review algebraic methods of solving quadratic equations. Students discuss several methods of solving quadratic equations. They practice factoring and finding the roots of an equation for solving. A calculator is used to...
Curated OER
Quadratics Introduction
Students investigate quadratic functions graphically and algebraically.
Curated OER
Solving Equations
In this algebra worksheet, 11th graders solve a variety of problems using linear and quadratic properties as they pertain to functions. There are 12 questions.
Curated OER
Complete the square
In this quadratic equations worksheet, learners complete the square by solving the equations. Students solve 10 quadratic equations total.
Curated OER
Maximum and Minimum Values
In this Algebra II worksheet, 11th graders complete the square to write a quadratic equation in Standard form. Students identify the vertex, sketch the graph and state the maximum or minimum value of the functions. The one...
Curated OER
Completing the Square
In this Algebra II worksheet, 11th graders respond to a journal prompt in which they write their own quadratic equation and solve it by completing the square. The one page worksheet contains three questions. Possible answers are...
Curated OER
Vertex Form of Parabolas
Using the method of completing the square, algebra learners rewrite quadratic equations from standard form to vertex form. They will also graph quadratics, stating the vertex and axis of symmetry. Solutions are provided.
Curated OER
Elementary Algebra Study Guide
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
Curated OER
Hands-On Equations: Teacher Notes
Math manipulatives are wonderful for demonstrating any number of mathematical concepts in a concrete and visual way. Learners review the addition property of equality and the zero property using a scale model kit (not shown). They...
Curated OER
Properties of Operations as Strategies
These multiplication problems give scholars a chance to display their knowledge of math properties. They use the zero property to solve one problem, write a related multiplication fact for a division problem, and complete a final...
Balanced Assessment
Number Game
It's all in the numbers! Create a mathematical model to analyze a number game and develop a winning strategy. Using a given numerical pattern, scholars write an expression to model the scenario. They then interpret the pattern of the...
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