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
Interpreting the Graph of a Function
Groups sort through NASA data provided in a graphic to create a graph using uniform units and intervals. Individuals then make connections to the increasing, decreasing, and constant intervals of the graph and relate these...
EngageNY
Discovering the Geometric Effect of Complex Multiplication
Does complex number multiplication have the class spinning? Here's a resource that helps pupils explore and discover the geometric effect of multiplying complex numbers. In the 14th installment in the 32-part unit groups look at the unit...
EngageNY
When Can We Reverse a Transformation? 2
The second lesson plan on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding...
EngageNY
Projecting a 3-D Object onto a 2-D Plane
Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...
101 Questions
Graduation
Graduation ceremonies are huge milestones, but sometimes waiting for a name to be called gets a bit boring. Scholars find the pace the announcer calls names to determine how long until a specific name is called. Calculations work in...
Kenan Fellows
Weight and Balance of an Airplane
A career in aeronautics might be calling your class members. Building from the previous two lessons in the series, learners continue analyzing the mathematics of aeronautics. Groups create a paper airplane using paperclips for balance....
Illustrative Mathematics
Kiri's Mathematics Match Game
Learning math is so much more fun when it involves playing games. Following the rules of the classic game Memory, young mathematicians flip over two cards at a time as they look for numbers whose sum or difference is equal to the value...
NASA
Lights on the International Space Station
Groups explore illumination with NASA's Lighting Environment Test Facility (LETF) as a context. Using the TI-Nspire app, groups determine the lux equation that models their simulation. They then use the lux equation to...
Mathematics Assessment Project
Geometry
Help learners find joy in facing mathematical challenges. The questions posed on this worksheet encourage young mathematicians to utilize skills learned throughout a geometry unit, and to apply themselves and persevere through...
Virginia Department of Education
Simplifying Square Roots of Whole Numbers
Simplify your life by using a resource on simplifying square roots. Pupils review square roots and calculate values of given radical expressions using a calculator. The lesson concludes by having them consider the results to develop the...
Education Development Center
Making Sense of Unusual Results
Collaboration is the key for this equation-solving lesson. Learners solve a multi-step linear equation that requires using the distributive property. Within collaborative groups, scholars discuss multiple methods and troubleshoot mistakes.
Education Development Center
Creating Data Sets from Statistical Measures
Explore the measures of central tendency through a challenging task. Given values for the mean, median, mode, and range, collaborative groups create a set of data that would produce those values. They then critique other answers and...
Education Development Center
Integer Combinations—Postage Stamps Problem (MS Version)
Number patterns can seem mysterious. Help your learners unravel these mysteries as they complete an intriguing task. Through examination, collaborative groups determine that they are able to produce all integers above a certain...
CK-12 Foundation
Inductive Reasoning from Patterns: Greeting with Handshakes
Greet this resource like an old friend. An interactive has users investigate the number of handshakes required for a group to greet each member. A set of challenge questions ensures that learners have a solid understanding of the...
CK-12 Foundation
Definition of Inverse Functions
Investigate the definition of inverse functions graphically. Using the interactive, scholars create a graph of a function and view its resulting inverse. They then determine whether a group of functions have inverses that are also...
National Security Agency
Systems of Equations and Inequalities
High school classes can use manipulatives too! Offer hands-on, interactive lessons that venture away from the typical day in your algebra class. Young mathematicians will be involved in collaborative learning, visual...
Rational Number Project
Rational Number Project: Initial Fraction Ideas
Deepen the fractional number sense of young learners with this introductory instructional activity on equivalent fractions. After completing a short warm-up activity, children go on to work in pairs using fraction circles to...
Rational Number Project
Initial Fraction Ideas Lesson 18: Overview
Develop young mathematicians' ability to compare fractions with investigation into the number 1/2. After brainstorming a list of fractions equivalent to 1/2, children identify a pattern in the numerators and...
PBS
Using Symmetry to Create Corporate Logos
Young mathematicians investigate the use of symmetry in graphic design. After first learning about reflection, translational, and rotational symmetry, children use this new knowledge to identify symmetry in letters of the...
Diablo Valley College
The Language of Sets and Set Notation
The basics of number theory and set notation are explained in a highly approachable way in a self-contained lesson and worksheet. Introducing the vocabulary and concepts from ground zero and building to more complex ideas of subsets...
Balanced Assessment
The Contest
Good advertisers can make mathematics seem irrelevant. Teach your classes to use math to see through these tactics and make good decisions. The posed task has pupils analyze sweepstakes statistics to determine and compare the cost of...
Concord Consortium
Strings and Areas
You'd be surprised what you can do with a string! The constraint is the length of string, and the task is to maximize area. Given a series of composite shapes, learners must create a formula for the maximum area for a specified...
Concord Consortium
Same Solution Equations
Group equations by their solutions. Given six different equations, pupils determine which have the same solutions. Scholars explain why some are the same and some are different.