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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...
Curated OER
Dividing Radical Expressions
In this algebra worksheet, learners simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the final 7...
EngageNY
Graphing Cubic, Square Root, and Cube Root Functions
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
Curated OER
Polynomials: Factors, Roots and Zeroes
Students factor polynomial equations. In this algebra lesson, students identify the zeros of the equations. They use algebra to rewrite word problems using symbols.
Curated OER
Two Investigations of Cubic Functions
Through learning about cubic functions, high schoolers graph cubic functions on their calculator. Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic...
Curated OER
Simplifying Radicals
In this algebra worksheet young scholars find the root and simplify 20 radical expressions. Students use the product and quotient rules to simplify 27 radical expressions. They add or subtract radicals on 13 problems.
Charleston School District
Solving Exponent Equations
Show your class that not all equations are linear. The lesson asks learners to solve simple quadratic and cubic equations using square and cube roots. Problems include equations with no solutions.
Curated OER
Solving Radical Equations
In this algebra worksheet, learners solve 10 equations for the given variable. Each problem involves numbers under a radical sign.
Curated OER
Rational Expressions Test with a Calculator
In this rational expression instructional activity, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This instructional activity is designed as a test to be completed with a...
Curated OER
Numerical Analysis: Introduction to Root Finding
In this introduction to root finding worksheet, students write equations to solve distance problems. They explore the bisection method of Bolzano. This four-page worksheet contains approximately ten problems.
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....
EngageNY
Stretching and Shrinking Graphs of Functions
Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections.
Charleston School District
Pre-Test Unit 5: Solving Equations
Your pupils just may know more than you think they do! A pre-test assesses their ability to solve and write equations. It includes simple quadratic and cubic equations as well.
Curated OER
Exercise Set 2.6: An Introduction to Functions
In this functions worksheet, high schoolers solve 70 short answer questions. Students find domain of functions and evaluate them for a given value. High schoolers determine if a mapping diagram represents a function.
University of North Texas
Library of Functions
Join the family picnic and see how all the functions come together in a PowerPoint that highlights their main features. As it includes topics such as domain, range, and intercepts, the slides are a great guide to promote class...
K20 LEARN
Family Ties: Exploring Families OF Functions
They say it runs in the family. Small groups use a card sorting activity to group graphs of functions into families. After grouping by families, the class develops conclusions for parent functions and create a graphic organizer.
Curated OER
Parent Functions Reference
In this functions worksheet, students explore the graphs of fifteen parent functions. This worksheet is meant as a reference for students.
Curated OER
Algebra Exam
In this algebra worksheet, 11th graders graph, parabolas, absolute value and cubic functions. They factor polynomials and simplify roots. There are 75 questions.
EngageNY
Exploiting the Connection to Trigonometry 1
Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex...
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Curated OER
Linear Piecewise Functions
Students explore the concept of piecewise functions. In this piecewise functions instructional activity, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function....
Curated OER
Maximize It!
Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
Curated OER
Polynomial Functions
In this Algebra II worksheet, 11th graders use a graphing calculator to determine the regression equation of the given data, graph polynomial functions, factor polynomials, and determine the quotient and remainder in polynomial division....