Teach Engineering
Buoyant Boats
Eureka! Using the clay boats made in the previous lesson, learners investigate the idea of buoyancy and water displacement to finish the last installment of five in a Floaters and Sinkers unit. Their observations during the activity...
Curated OER
Skeleton Tower
Your algebra learners build a quadratic function in this task of counting the blocks used to build objects. The arithmetic sequence that shows up brings up a shortcut to the long addition using the Gauss Method. Eventually, learners...
EngageNY
Ptolemy's Theorem
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
Curated OER
The History of Mathematics
Research the interrelationship between math and science. Search the Internet to discover the history of several branches of mathematics and make text-to-world connections between the concepts covered in each branch with related...
EngageNY
Review of the Assumptions (part 1)
What was the property again? Tired of hearing this from your pupils? Use this table to organize properties studied and as a reference tool for individuals. Learners apply each property in the third column of the table to ensure their...
EngageNY
Unknown Angles
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include basic...
EngageNY
The Power of Algebra—Finding Primes
Banks are responsible for keeping our financial information safe. Mathematics is what allows them to do just that! Pupils learn the math behind the cryptography that banks rely on. Using polynomial identities, learners reproduce the...
EngageNY
Euler’s Number, e
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the lesson is the discovery of Euler's number.
EngageNY
Choosing a Model
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
EngageNY
Proof of the Pythagorean Theorem
What does similarity have to do with the Pythagorean Theorem? The activity steps through the proof of the Pythagorean Theorem by using similar triangles. Next, the teacher leads a discussion of the proof and follows it by an animated...
EngageNY
Applications of the Pythagorean Theorem
Examine the application of the Pythagorean Theorem in problem-solving questions. Pupils apply the theorem to find lengths when given different scenarios. They finish the 17th installment in an 18-part series by applying the theorem to...
Curated OER
Sigma Detectives
In this sigma worksheet, students evaluate patterns. They find the sum of the digits in a sequence and write the formula to produce the sequence. This one page worksheet contains four multi-step problems.
Curated OER
Worksheet 19-Spring 1996
In this math worksheet, students begin with the Maclaurin series and prove De Moivre's Theorem. They use the De Moivre Theorem to solve four problems. Students apply these theorems to explain why a flock of geese will fly in an uneven...
Curated OER
Sieve of Eratosthenes
Students discover the Sieve of Erathosthenes. They explore a method to find all the prime numbers in a group of numbers. Using models, students practice divisibility rules while examining the difference between prime and composite numbers.
Curated OER
Euler's Method
In this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.
Curated OER
Euler Fortune Problem
In this problem solving worksheet, students solve for the amount of the fortune a father starts with before he divides it among his children, given a set of clues. Students must also solve for how many children the money is divided...
Curated OER
Worksheet 3 Math 126: Ellipses and Hyperbolas
In this ellipses and hyperbolas worksheet, students solve 8 short answer and graphing problems. Students graph ellipses, hyperbolas, and parabolas given an equation. Students identify the foci of an ellipse or hyperbola.
Curated OER
Eye Spy a Pattern
Fifth graders identify patterns by understanding how things work together.
Curated OER
Eye Spy a Pattern
Fifth graders examine how to see patterns by showing how things work together. They identify, analyze and determine a rule for predicting and extending numberical patterns involving operations of whole numbers, decimals and fractions.
Curated OER
Exploring Special Lines
Students compare and order numbers. In this geometry lesson, students write equations for inequalities. They differentiate and apply concepts of triangular properties to solve problems.
College Board
Why We Use Theorem In Calculus
Young scholars read an article to explain the reasoning behind theorems. In this calculus lesson, students understand the underlying principles of theorems and how it helps them make sense of the problems. They know why they do what they...
Curated OER
The King's Slice
Students participate in an experiment involving the square root of two. They use different methods to solve the problem.
Curated OER
Egyptian Fractions
Sixth graders take a brief look at what is known about Egyptian Fractions. These are unit fractions - fractions whose numerator is one. We look at how fractions can be represented in terms of Egyptian Fractions. Finally we suggest a web...
Curated OER
Who Would Have Figured?
Learners investigate what happens when a coin is tossed a few times versus many times. They analyze, in groups, the data from tossing coins, and the Law of Large Numbers.