West Contra Costa Unified School District
Interest and the Number e
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would...
Curated OER
More Differentiation
In this differentiation worksheet, students solve and complete 8 various types of problems. First, they differentiate each of the equations listed. Then, students find an equation of the tangent to the curve at a given point. They also...
Curated OER
River Optimization Problem
Students define the different methods used for optimizing a particular element of a problem. In this optimization problem instructional activity, students optimize appropriate details of a problem using data collection, algebra,...
Texas Instruments
Confectionery Delight
High schoolers explore the problem of maximizing the volume of a box by making a physical model and observing how changes in the orientation of the paper changes the volume. They use the symbolic capacity of their calculators and...
Curated OER
Worksheet 3: Graphing Speed and Time
In this graphing speed and time worksheet, students answer 7 questions regarding graphing, speed, distance, derivatives, Newton's method and wheel radius.
EngageNY
Bean Counting
Why do I have to do bean counting if I'm not going to become an accountant? The 24th installment of a 35-part module has the class conducting experiments using beans to collect data. Learners use exponential functions to model this...
EngageNY
Geometric Sequences and Exponential Growth and Decay
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
Mathematics Assessment Project
Representing Polynomials
Use this complete and very detailed lesson plan to assess your students' understanding of two important behaviors of polynomials. The first is the relationship between the zeros of a polynomial function and the function's graph, and the...
Curated OER
Comparing Investments
Money, money, money. A complete activity that makes use of different representations of simple and compound interest, including written scenarios, tables, graphs, and equations to highlight similarities and differences between linear and...
EngageNY
Percent Rate of Change
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
Chapman University
Proof of L’Hospital’s Rule
Understanding how calculus formulas were derived connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also develop a deeper appreciation for the derivative's application in...
EngageNY
Are All Parabolas Similar?
Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.
EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
EngageNY
Patterns in Scatter Plots
Class members investigate relationships between two variables in the seventh installment of a 16-part module that teaches scholars how to find and describe patterns in scatter plots. Young mathematicians consider linear/nonlinear...
EngageNY
Writing the Equation for a Circle
Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The lesson then provides an exercise set for learners to...
EngageNY
Analyzing Residuals (Part 2)
Learn about patterns in residual plots with an informative math lesson. Two examples make connections between the appearance of a residual plot and whether a linear model is the best model apparent. The problem set and exit ticket...
Curated OER
The Canoe Trip, Variation 2
The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...
EngageNY
Properties of Tangents
You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency,...
Curated OER
Organ Systems
Students examine organisms that are composed of tissues, organs, and systems. They dissect a fetal pig and explore the assigned organs systems such as the skeletal, muscular, and circulatory organs. Students identify and explain their...
PBL Pathways
Total Cost to Produce the Turbo Blender
Class members blend their knowledge of functions and problem-solving skills to provide business advice to the Turbo Blender manufacturers. Through a project-based approach, learners examine marginal cost data to produce a function....
EngageNY
Solution Sets to Inequalities with Two Variables
What better way to learn graphing inequalities than through discovering your own method! Class members use a discovery approach to finding solutions to inequalities by following steps that lead them through the process and...
Project Maths
Integral Calculus
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
MENSA Education & Research Foundation
Pi Day Fun!
In this multi-faceted introduction to pi, participants perform a bevy of pi-related activities. Ranging from measuring household items to singing pi songs and reading pi stories, this fun and non-intimidating resource serves to bring up...
Curated OER
The Chain Rule
Learners determine the derivative of a function. In this determining the derivative of a function lesson plan, students use the chain rule to find the derivative of the function. Learners use the chain rule to take the...