Lesson Plan
EngageNY

Newton’s Law of Cooling, Revisited

For Teachers 10th - 12th Standards
Does Newton's Law of Cooling have anything to do with apples? Scholars apply Newton's Law of Cooling to solve problems in the 29th installment of a 35-part module. Now that they have knowledge of logarithms, they can determine the decay...
Lesson Plan
EngageNY

Collecting Rational Number Like Terms

For Teachers 7th Standards
Teach pupils to handle fractions fluently. The sixth installment in the series of 28 has class members apply the concepts learned in previous lessons to expressions with fractional coefficients. The fractions are both mixed numbers and...
Lesson Plan
EngageNY

Identical Triangles

For Teachers 7th Standards
Explore vocabulary and notation related to triangles and congruence. The fifth lesson in the 29-part series helps pupils build their knowledge of triangle relationships. Individuals identify corresponding parts of identical triangles and...
Lesson Plan
EngageNY

Mathematical Area Problems

For Teachers 7th Standards
Teach the connection between area models and the distributive property through problem-solving. The 22nd activity in a series of 29 explains the distributive property graphically. Learners build area models from word problems and convert...
Lesson Plan
PBS

Estimating Profit from a Job

For Teachers 5th - 8th Standards
Profit always seems to get everyone's attention. The same is true during a instructional activity on estimation. Learners use given information to estimate the cost of supplies for a painting job. They then develop a strategy for...
Lesson Plan
Mascil Project

Design a Parking Garage

For Teachers 6th - 8th Standards
Parking structures don't build themselves. Investigate the process of designing and planning the construction of a parking garage. After considering the factors that must go into the design, scholars create their own models from a...
AP Test Prep
1
1
Flipped Math

Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation

For Students 10th - 12th
It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...
AP Test Prep11:54
1
1
Flipped Math

Calculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions

For Students 10th - 12th
Connect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...
Assessment
1
1
Achieve

Rabbit Food

For Students 9th - 12th Standards
Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...
Lesson Plan
Mascil Project

Arranging Tables for a Birthday

For Teachers 9th - 11th Standards
Planning a party of 45 guests may be more complicated than it would seem.  Learners must design the space in accordance with these constraints about the space available in the room. They need to calculate area, circumference,...
Lesson Plan
Pace University

Grade 7 Earth Day Statistics with Circle and Bar Graphs

For Teachers 7th Standards
Take a tiered approach to studying waste. The lesson uses Earth Day to present differentiated instruction around using circle and bar graphs. Each group gets a cube based on their tiers and works collaboratively as well as individually...
Lesson Plan
National Council of Teachers of Mathematics

Stitching Quilts into Coordinate Geometry

For Students 8th - 11th Standards
Who knew quilting would be so mathematical? Introduce linear equations and graphing while working with the lines of pre-designed quilts. Use the parts of the design to calculate the slope of the linear segments. The project...
Worksheet
Curated OER

Introduction to Differentiation

For Students 11th - Higher Ed
For this introduction to differentiation worksheet, students solve and complete 10 various types of problems. First, they use the definition of differentiation to evaluate the derivative of the functions listed. Then, students sketch the...
Worksheet
Curated OER

Further Differentiation

For Students 11th - Higher Ed
In this further differentiation worksheet, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each and describe...
Worksheet
Curated OER

Applications of Derivatives: Finding Maxima and Minima

For Students 12th - Higher Ed
In this calculus worksheet, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.
Worksheet
Curated OER

Higher Order Differentiation and Implicit Differentiation

For Students 9th - Higher Ed
In this differentiation worksheet, students calculate the first and second order derivatives and use implicit differentiation to solve 4 questions with multiple parts.
Interactive
Curated OER

Logarithmic Differentiation

For Students 12th
In this calculus worksheet, 12th graders perform logarithmic differentiation on functions for which the ordinary rules of differentiation do not apply.  The one page interactive worksheet contains eleven problems.  Answers are...
Interactive
Curated OER

Implicit Differentiation Problems

For Students 9th - 10th
In this calculus worksheet, students perform implicit differentiation to take the derivative. They solve function explicitly of x. They differentiate between implicitly and explicitly. There are 16 problems with an answer key.
Interactive
Curated OER

Differentiation of Trigonometry Functions

For Students 9th - 11th
In this trigonometry instructional activity, students differentiate the different trigonometric identities. They derive the sine, cosine, tangent and inverses of these trig identities. There are 18 questions with an answer key.
Worksheet
Curated OER

Differentiation Computations

For Students 11th
In this calculus worksheet, 11th graders solve problems using differential equations and computations. They apply properties of trig functions and simplify their answers. There are 9 questions.
Lesson Plan
Curated OER

Worksheet 13 - Implicit Differentiation

For Teachers Higher Ed
In this implicit differentiation worksheet, students differentiate expressions and identify the derivative of a function. This one-page worksheet contains six multi-step problems.
Worksheet
Curated OER

Population Models and Qualitative Analysis

For Students Higher Ed
In this quantitative analysis worksheet, students explore the limits of a rate equation. They use quantitative analysis methods to determine the differential, plot graphs of their values, and describe the relationships between the...
Worksheet
Curated OER

Math 150 - Differentiation Applications

For Students 11th - 12th
In this differentiation learning exercise, students solve 25 short answer word problems. Students solve application word problems by finding the derivatives of functions.
Lesson Plan
Curated OER

#3 Differential Calculus

For Teachers 12th - Higher Ed
Young scholars create models of the Mean Value Theorem.  In this Mean Value lesson, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem.  They illustrate the meaning of the...