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
Limits and Continuity
In this limit worksheet, student evaluate functions and determine the continuous limits. This one-page worksheet contains three multi-step problems.
NASA
The Lunar Lander – Ascending from the Moon
What angle? Groups determine the height of the lunar lander as it ascends from the surface of the moon and calculate the angle of elevation of the lunar lander at specific times and distances. The provided series of questions lead the...
Curated OER
Making Connections
Eighth graders investigate the input/output model for building function tables. From the data, 8th graders connect tables, graphs, function rules, and equations in one variable. They work backwards to determine function rules for given...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Curated OER
Function-al Machines and Spaghetti Graphs
Sixth graders identify the relationship between patterns and functions. In this algebra instructional activity, 6th graders use a "Functional Machine" to identify the rule. Students use a function table to plot the points using play...
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Curated OER
Numerical Analysis: Nonlinear Equations
In this nonlinear equations instructional activity, students use iterative methods for solving systems of nonlinear equations. This four-page instructional activity contains eight multi-step problems.
Curated OER
More on Limits, Graph Sketching, and L'Hopital's Rule
In this limits worksheet, students compute the answers to thirteen limits problems. They answer one short answer question. Students follow listed steps to simplify two limits problems. Students answer three short answer questions about a...
Curated OER
Simpson's Rule
For this integral worksheet, students use the Simpsons's Rule for evaluating integrals. They use different methods to calculate integrals and compare the results. This eight-page worksheet contains approximately 16 multi-step problems.
Curated OER
Practice Test: Derivatives
In this derivatives learning exercise, students identify the partial derivatives of a function, find the rate of change, and determine the maximum and minimum values of a function. This one-page learning exercise contains 6 multi-step...
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and use them to...
Curated OER
Finding the nth Term
Learners analyze patterns and try to figure out the next term in the sequence. In this algebra lesson, students discuss the functions rule and how it works to solve sequences. They practice solving problems and find the nth term or what...
West Contra Costa Unified School District
Particle Motion
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the velocity...
Curated OER
Implicit Differentiation
In this implicit differentiation activity, students solve problems using the chain rule and implicit differentiation. They explain the differences between the chain rule and the implicit differentiation. This two-page activity contains...
Curated OER
Properties of Definite Integrals
For this definite integral worksheet, students evaluate the properties of definite integrals. Students graph their answers. This two-page worksheet contains two multi-step problems.
Curated OER
Reviewing the First Unit
In this linear function worksheet, students explain how the linear function relates to direct proportionality. They answer questions dealing with slope fields, rate equations and illustrate Euler's Method. After answering six...
Curated OER
Taylor's Theorem
For this Taylor's Theorem worksheet, students use the microscope approximation to determine the approximate value of a function. They rewrite expressions for the relative error, and observe changes in the relative error. They use...
Curated OER
The Little Prince and his Pendulum
In this function worksheet, students read a fairy tale about a prince on a tiny planet. They explore the length of a pendulum and gravitational acceleration. Students use the multi-variable change rule to compute the rate of change. ...
Inside Mathematics
Party
Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...
National Council of Teachers of Mathematics
Do I Have to Mow the Whole Thing?
In this mowing worksheet, learners find the area of given rectangles. They determine the combinations of lengths and widths that generate a given area. Learners graph given points. This two page worksheet contains sixteen multi-step...
Virginia Department of Education
Greetings
Welcome learners to the world of algebra. Use a lesson that poses a situation involving the profit from creating greeting cards to teach about algebra. It requires scholars to use linear functions and inequalities to solve problems.
Virginia Department of Education
Matching Representations
Pupils explore the many representations of linear functions by completing a matching activity to connect the multiple representations of a function. They then reinforce the connection as individuals create the different representations...
Curated OER
Number Sequences
Number sequences make for great challenges that stimulate pattern recognition, algebraic reasoning, and number sense. This slide-show includes eleven number sequences for learners to work through, an explanation of what number sequences...