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
Multiplying and Factoring Polynomial Expressions (part 2)
If you can multiply binomials, you can factor trinomials! This is the premise for a instructional activity on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading...
EngageNY
Solving Equations
Teach solving equations through an exploration of properties. Before pupils solve equations they manipulate them to produce equivalent equations. The activity switches the focus from finding a solution to applying properties correctly.
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
Base Angles of Isosceles Triangles
Build confidence in proofs by proving a known property. Pupils explore two approaches to proving base angles of isosceles triangles are congruent: transformations and SAS. They then apply their understanding of the proof to more complex...
Curated OER
Application of Completing the Square
A TI technology activity that helps learners to recognize and use the characteristic of a perfect square quadratic to complete the square. Additionally, they apply their knowledge to solve real-world problems.
Curated OER
Stars and Slopes
More of a math lesson than physics or space science, high schoolers take a set of data and plot it on a log-log coordinate system. The write-up for day two was never completed, but day one, "Stars and Slopes," is complex and cohesive....
Curated OER
Functions - Intro and Inverses
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
Shodor Education Foundation
Cross Sections
Use this activity on cross-sections of three-dimensional shapes in your math class to work on algebra or geometry Common Core standards. The lesson includes a list of relevent terminology, and a step-by-step process to illustrate the...
Willow Tree
Simplifying Square Roots
The square root of five and five do not have the same value! How many times have you addressed this with math classes? A lesson gives an explanation of a square root and gives examples for simplifying square root...
Illustrative Mathematics
Placing a Square Root on the Number Line
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
Illustrative Mathematics
Coupon Versus Discount
All too often stores give coupons for an item, but when you go into buy it, the item is on discount. The store won’t take the coupon if the discount is used. So what do you do, use the coupon or take the discount? This activity...
Illustrative Mathematics
How Many Cells Are in the Human Body?
Investigating the large numbers of science is the task in a simple but deep activity. Given a one-sentence problem set-up and some basic assumptions, the class sets off on an open-ended investigation that really gives some...
Illustrative Mathematics
Regular Tessellations of the Plane
Bringing together the young artists and the young organizers in your class, this instructional activity takes that popular topic of tessellations and gives it algebraic roots. After covering a few basic properties and definitions,...
Federal Reserve Bank
Expense Tracking
Where does all your money go? Individuals keep a record of the money they spend over the course of 30 days. They then categorize where they are spending their money and write an essay detailing their findings.
Project Maths
The Unit Circle
It's not just any circle—it's the unit circle. The fourth instructional activity in the series is an introduction to the famous unit circle. While working through a series of activities, young scholars learn the components of the unit...
Mascil Project
Circular Pave-Stones Backyard
Pack the lesson into your plans. Young mathematicians learn about packing and optimization with the context of circular paving stones. They use coins to model the paving stones, and then apply knowledge of circles and polygons to...
Curated OER
Extra Credit: It’s No Fairy Tale
High schoolers discuss their knowledge of payday loans and credit cards. In this Economics lesson, students complete a read an article and Q&A activity in groups, and play a vocabulary bingo game and a quiz game on payday loans. High...
Curated OER
Fractions, Decimals, and Percents Got You Down? "Tri" This!
Have your class design their own mathematical study aids. Learners collaborate in groups on the design of tri-fold presentation describing the relationships between mathematical computations. Then, they write a business letter to the...
PricewaterhouseCoopers
Paying for College: Finding the Right Fit
Most want to attend college, but do they know where? How will they afford it? How do they apply? Learners discover the costs associated with college and the best way to budget and possibly apply for financial aid.
Curated OER
Whole Number and Decimal Place Value
Practice real-world application of decimals by viewing the U.S. National Debt Clock online and discussing the level of outstanding debt. A skit, vocabulary, and various other resources are available.
Curated OER
Worksheet 38 - Convergence or Divergence
In this convergence worksheet, students apply tests to determine the convergence or divergence of a series and identify the limit of a sequence of terms. This one-page worksheet contains four multi-step problems.
Virginia Department of Education
Properties
Examine some properties that don't require a general contractor. Scholars first complete a mental math activity that uses the properties of real numbers. A separate activity formalizes these properties.
Curated OER
Polynomials Functions
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
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