West Contra Costa Unified School District
The Extreme Value Theorem
Finding the critical numbers of a function can be extreme. The activity 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.
Curated OER
Extrema on an Interval
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
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 instructional activity, students collect data in order to solve the apple orchard problem...
Curated OER
The Second Derivative Test for Relative Extrema in Three Dimensional Space
In this math worksheet, students seek to find the relative maximum and minimum values of surfaces in three dimensional space for the function.
Curated OER
Worksheet 29 - Interval
In this interval worksheet, students find integrals of functions, use the first derivative test to classify points, and find the local and global extrema. This one-page worksheet contains eight multi-step problems.
Curated OER
Applications of Derivatives: General Rules for Optimization
In this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.
Curated OER
Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
Curated OER
Worksheet #5, Concavity,
In this calculus learning exercise, students determine the intervals in which a given relation is concave up. They determine the inflection points of a given formula. Students use the second derivative test to classify the relative...
Curated OER
Linear Approximation
In this algebra worksheet, students solve problems using estimation and the derivative. They calculate the critical points, domain and indicated intervals. They calculate the first and second derivative. There are 5 problems.
Curated OER
The First Fundamental Theorem of Calculus
Solve problems using the fundamental theorem. For this calculus lesson, high schoolers solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
Curated OER
Engineering in a Calculus Classroom
Students solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
Curated OER
Functions of Two Variables
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
EngageNY
Graphing Factored Polynomials
Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.
EngageNY
Basic Trigonometric Identities from Graphs
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their understanding...
Curated OER
Introduction to Tangent Lines using the TI-Nspire
Learners make mathematical argument using the concept of Limit. In this algebra lesson, student calculate the instantaneous rate of change from the linear graph. They use a TI-calculator to create a visual of the graphs.
Curated OER
Critical Points
Young scholars identify critical points on a graph. In this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.
Curated OER
Working with Rates of Change
In this calculus worksheet, students problem solve 8 word problems involving rates of change in association with high school students. Students work out each problem and give a short explanation of each answer.