CK-12 Foundation
Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations
It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin...
Mathed Up!
Expand and Factorise
Expand and contract algebra. Using a video from a larger review series, pupils refresh their skills to factor algebraic expressions. They also use the distributive property to expand expressions on the learning exercise. Problems range...
Radford University
A Little Devil In Need of Help
Math modeling to help endangered species? Scholars first investigate linear and exponential equations and graphs that model fictitious animal populations. They consider how key features of the graphs relate to the situation. As a final...
Radford University
Function Family Fun
It's time for a family reunion—function families, that is. Pupils first review different types of parent functions. They then see how to apply transformations to graphs and learn how to select the most appropriate type of function to...
Curated OER
More on Factors, Zeros, and Dividing
Students explore the concept of finding zeros of polynomials. For this finding zeros of polynomials worksheet, students find the zeros of polynomials given one zero. Students factor and find all the zeros of 18 polynomials.
Curated OER
Taylor and Maclaurin Series
For this Taylor and Maclaurin series worksheet, students answer 10 questions about Taylor and Maclaurin series. Students find the Taylor and Maclaurin series for trigonometric, exponential, and inverse functions at a given value.
Curated OER
Interesting Properties of Cubic Functions to Discover Graphically or Numerically
Learners investigate the slope of a cubic function. They find the tangent line of the cubic function at point P, and discuss the relationship between point P and point Q, the point the tangent line intersects the cubic function. ...
Curated OER
Parabolas
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. Students compare the slope of the secant line through two points with...
Curated OER
Implicit Differentiation
Pupils explore the concept of derivatives. They use implicit differentiation to determine points on a graph where a tangent line is horizontal, vertical, or oblique. Finally, learners find the derivative of a polynomial by...
Curated OER
Conics
In this conic sections worksheet, 11th graders solve and complete 16 different types of equations. First, they find the equation of the conic that has a given focus and directrix. Then, students convert each given polynomial to standard...
Curated OER
Quadratic Equations
In this algebra worksheet, students define the word "quad" and solve problems with quadratics. They factor polynomials by the quadratic formula and completing the square.
Curated OER
Introduction to Integration
Young scholars discuss the importance of Integrals as it relates to calculus. In this calculus instructional activity, students define Integrals and practice taking the integrals of polynomials. They work problems to enhance their...
Curated OER
Investigating Domains
In this algebra instructional activity, learners graph polynomials and find the domain and range by examining the graphs. There are 6 problems with graphs drawn.
Curated OER
Functions and Fraction Combination
In this algebra instructional activity, 11th graders factor polynomials and find the roots of the equations. They write the rules representing the equation and how to solve it. There are 9 questions.
Curated OER
Learning About A Graphing Calculator
Students investigate the use of a graphing calculator in solving problems. In this algebra lesson, students solve polynomials problems using a calculator.
Curated OER
Math 16C: Worksheet 11
In this calculus instructional activity, students answer 13 short-answer problems regarding number sequences, limits, convergence, divergence, polynomials and functions.
Curated OER
Solving Mixed Equations and Inequalities #33
For this mixed equation and inequality worksheet, students solve various types of equations requiring the use of absolute value, system of equations, polynomials, and square roots. This three-page worksheet contains 60 algebra problems....
Curated OER
Factoring By Grouping
In this algebra worksheet, students factor polynomials by grouping. They combine the equations that share something in common or using the GCF. There are 28 questions on this worksheet, with an answer key.
Curated OER
Quadratics and Difference of Squares
In this algebra worksheet, students factor quadratic equations using the difference of squares and cubes. They factor other polynomials finding the roots. There are 37 questions with an answer key.
Curated OER
Exploring Power Functions 1
Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.
Curated OER
Exploring Power Functions 2
Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.
Curated OER
Power Function Inverses
Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...
Curated OER
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson plan, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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