Curated OER
Worksheet Six: System of Equations
In this system of equations worksheet, students solve systems of equations. They plot functions and evaluate solutions as floating point numbers. This two-page worksheet contains 8 multi-step problems.
Curated OER
Applications of Taylor Polynomials
In this math instructional activity, students investigate the applications of using Taylor Polynomials. Then they use the derivative definition of a Taylor Series to compute the popular functions.
Texas Instruments
Exploring the Binomial Theorem
A comprehensive lesson that explores and researches Pascal's triangle and relates its properties to the Binomial Theorem through a variety of lessons. Have the class practice expanding polynomials using the theorem. A few other formulas...
Del Mar College
Finding the Domain
Domain to a math teacher makes perfect sense, but it can seem like gibberish to high schoolers. As it is laid out in clear terms, domain is introduced and explained among all types of functions throughout the handout. The first three...
Curated OER
Exploring Functions with Calculus and Dynamic Software
Calculus can be project-based and inquiry-centered by using dynamic software.
Curated OER
Factors and Zeros
In this factors and zeros activity, students factor given problems. They write polynomial functions with integral coefficients. This four-page activity contains 20 problems. Answers are provided on the last page.
Concord Consortium
Same Solution Equations
Group equations by their solutions. Given six different equations, pupils determine which have the same solutions. Scholars explain why some are the same and some are different.
Curated OER
You Must Still Think Yourself, CAS Can Only Help
Have the class learn about and make conjectures about a line intersecting a cubic. In this making conjectures about a line intersecting a cubic lesson, young scholars draw lines that intersect a cubic at three different...
Curated OER
Cantilevers
Students perform an experiment to find the linear relationship between the appllied weight and the bend of the cantilever. In this linear relationships lesson, students follow detailed directions to set up an experiment. They add weights...
Curated OER
Completing the Square Algebraically
Using TI-Nspire, scholars rewrite quadratic expressions by completing the square. They change the equation into vertex form. By the end of this lesson plan, they should be able to change any quadratic equation into vertex form.
Curated OER
Algebraic Atrocities
In this algebra worksheet, students prove whether or not the left side of an equation equals the right side. If it is false, students correct the equation. Equations include fractions, trigonometric identities, logarithms, square...
Curated OER
The Box Problem
Students create graphic, algebraic and verbal ideas of functions. In this algebra lesson, students graph functions and identify the zeros of the functions. They find the domain and range and classify functions as relation or not.
Curated OER
Another Way of Factoring
Focusing on this algebra instructional activity, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and...
Curated OER
College Level Study Guide
In this study guide worksheet, learners examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
West Contra Costa Unified School District
The Extreme Value Theorem
Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
EngageNY
Exploiting the Connection to Trigonometry 2
The class checks to see if the formula for finding powers of a complex number works to find the roots too. Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about...
Curated OER
Mathematices: Pre-Calculus
Students relate polynomials to real life situations. In this algebra lesson plan, students graph equations through modeling and data collection. They must be comfortable doing word problems.
Curated OER
Differentiability and Linear Approximation
In this differentiability worksheet, students write expressions for a tangent line approximation to a graph, determine the limits, and use Taylor's theorem to differentiate given functions. This three-page worksheet contains a...
Curated OER
The Mandelbrot Set
Students explore the concept of Mandelbrot sets and Julia sets. For this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Students use Julia set and Mandelbrot...
Curated OER
Powers of Trig Functions
In this trigonometric worksheet, students solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.
Illustrative Mathematics
The Missing Coefficient
This activity highlights the use of the remainder theorem to solve for the unknown coefficient of a specified polynomial when given one of its factors. Use this single problem as a warm-up exercise, a quick check-in at the end of a...
Curated OER
Using Fourier Series
In this Fourier series worksheet, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree Fourier polynomial....
Curated OER
Introduction to Taylor Series
In this Taylor series worksheet, students determine the difference between a Taylor series and a Taylor polynomial. They solve function problems. This two-page worksheet contains seven problems.
College Board
1999 AP® Calculus BC Free-Response Questions
Get a 20/20 view of the exam. Free-response questions from the 1999 Calculus BC exam provide an insight to the exams. Pupils review the questions to see how topics show up on the test. Topics range from particle motion along a function,...
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