EngageNY
Wishful Thinking—Does Linearity Hold? (Part 2)
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
Mathematics Vision Project
Module 8: Modeling With Functions
Sometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
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
Complex Analysis: Theorems Following Cauchy's Integral Formulas
In this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...
Curated OER
Lesson 19: Rational Functions and Long Division
Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page worksheet contains...
Curated OER
Math Honors 2: Semester 1 Review
For this worksheet, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page worksheet...
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
Similarities and Differences in Properties of Different Families of Functions - An Investigation
Exploring families of functions allows students compare and contrast properties of functions. Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.
Alabama Learning Exchange
As If Numbers Weren't Complex Enough Already!
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...
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 function. High...
Curated OER
Complex Roots Made Visible
In this algebra instructional activity, 11th graders solve quadratic functions using the quadratic formula. They identify the negative roots using complex roots. There is an answer key with this problem.
Curated OER
The Apple Orchard Problem
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...
Curated OER
Reducing Fractions to Lowest Terms
In this Algebra I/Algebra II learning exercise, students reduce algebraic fractions to lowest terms. The one page learning exercise contains a combination of eleven multiple choice and free response problems. Answers are provided.
Curated OER
Factoring Trinomials
Students factor trinomials using algebra tiles and blocks. In this algebra lesson plan, students complete a trinomials station activity. They work backwords to find their answers and discuss their steps in a group.
Curated OER
Around We Go
Fourth graders investigate a range of circles, each with a different radius, diameter and circumference and assemble this information in their search for relationships.The measurement of circles and the relationships to be found within...
Curated OER
Worksheet 14
In this math worksheet, students graph the function f(x) = sinx on a set of axes that is at least half the size of a page of notebook paper.
Curated OER
Using CAS and algebra tiles with Expanding and factoring trinomials
Ninth graders investigate multiplication of binomials and factoring of trinomials. In this Algebra I instructional activity, 9th graders compare and contrast expansion and factoring using algebra tiles and a TI-89.
Curated OER
Conjectures and Conclusions
Learners draw conclusions and make conjectures given a specific scenario. In this geometry lesson plan, students model real life scenarios using properties of triangles. They model number facts and explain why the outcome is what it is.
Curated OER
Differentiability and Linear Approximation
In this linear approximation activity, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page activity contains four problems.
Pennsylvania Department of Education
Extending Pattern Understandings
Learners use shapes and manipulatives to demonstrate patterns. In this patterns lesson plan, students also break up patterns to identify a pattern unit.
Curated OER
Summer 1999, MA 123: Cumulative Review
In this math worksheet, students work to complete the review for a final part of an Algebra II class. The sheet has review problems.
Curated OER
Integrating Functions
For this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
Curated OER
Worksheet 23 - Fall 1995
In this math worksheet, students examine the measurements of a Pizza Hut box. Then they draw out the box and answer questions about its volume.
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