EngageNY
Law of Sines
Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...
EngageNY
Sums and Differences of Decimals
Sometimes dealing with decimals is so much easier than dealing with fractions. The ninth lesson in a 21-part module has the class consider situations when it might be easier to add or subtract fractions by first converting to decimals....
EngageNY
Modeling with Exponential Functions
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
EngageNY
Average Rate of Change
Learners consider the rate of filling a cone in the 23rd installment of this lesson series. They analyze the volume of the cone at various heights and discover the rate of filling is not constant. The lesson ends with a discussion of...
Mathematics Assessment Project
Calculating Arcs and Areas of Sectors of Circles
Going around in circles trying to find a resource on sectors of circles? Here is an activity where pupils first complete an assessment task to determine the areas and perimeters of sectors of circles. They then participate in an activity...
EngageNY
Piecewise and Step Functions in Context
Looking for an application for step functions? This activity uses real data to examine piecewise step functions. Groups create a list of data from varying scenarios and create a model to use to make recommendations to increase revenue.
EngageNY
Writing Equations Using Symbols
Build upon prior equation writing experience to create more complicated equations. Lesson one in a 33-part unit builds upon the class members' sixth and seventh grade experience of writing linear equations. Several examples provide...
Alabama Learning Exchange
Ice Cream Sundae Survey
Young scholars analyze data through graphs. They will complete a class survey on ice cream sundaes and tally and graph the responses. They then analyze the information from the class graph.
Mathematics Assessment Project
Representing Functions of Everyday Situations
Functions help make the world make more sense. Individuals model real-world situations with functions. They match a variety of contexts to different function types to finish a helpful resource.
Mathematics Assessment Project
Representing Quadratic Functions Graphically
Sometimes being different is an advantage. An engaging activity has scholars match cards with quadratic functions in various forms. Along the way, they learn about how each form highlights key features of quadratic functions.
West Contra Costa Unified School District
Matching Quadratic Functions
Ever sigh when learners ask why they have to know so many different forms of the quadratic equation? Here is a lesson that comes in handy! Using hands-on matching activities, quadratic equations are explored through their graphical...
EngageNY
The Side-Angle-Side (SAS) and Side-Side-Side (SSS) Criteria for Two Triangles to Be Similar
Playing with mathematics can invoke curiosity and excitement. As pupils construct triangles with given criteria, they determine the necessary requirements to support similarity. After determining the criteria, they practice verifying...
Mathematics Assessment Project
Representing the Laws of Arithmetic
Sixth graders connect numerical expressions to geometric area. They first complete an assessment task requiring them to identify area models for numerical expressions. Learners then participate in an activity to match area models to...
EngageNY
Introduction to Networks
Watch as matrices break networks down into rows and columns! Individuals learn how a network can be represented as a matrix. They also identify the notation of matrices.
EngageNY
Why Are Vectors Useful? 2
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
Atlanta History Center
What if YOU Lived During Jim Crow?
Young historians envision what life was like for African Americans living in the Jim Crow South through hands-on, experiential activities.
EngageNY
Equivalent Ratios
Equivalent ratios show up on tape. Young mathematicians use tape diagrams to create equivalent ratios in the initial lesson on the topic. They learn the definition of equivalent ratios and use it to build others in the third segment of a...
Teach Engineering
Copycat Engineers
It's often said that imitation is the sincerest form of flattery. Young engineers learn about biomimicry, which uses nature to generate engineering ideas, in the fifth lesson of nine in a Life Science unit. Working in groups, they select...
Alabama Learning Exchange
Estimation Station: Why Estimating is Better than Guessing
Youngsters discover the difference between estimating and guessing. They estimate how many items are contained in a jar as they read a story. After the story, pupils discover the differences between estimating and guessing and create a...
Curated OER
Scary Short Story Writing Lesson
There's nothing like the prospect of writing a scary story to get your middle schoolers' writing juices flowing! In the lesson presented here, pupils listen to scary short stories read to them by the teacher. Then, a discussion ensues...
Mathematics Assessment Project
Translating Between Repeating Decimals and Fractions
Model for your young mathematicians the process for converting repeating decimals to fractions. To demonstrate their understanding of the process, class members then complete and assessment task and participate in an activity matching...
EngageNY
Structuring The Search: Categorizing Our Research
What can you contribute? Scholars read text to determine how ants contribute to the rainforest. First, they categorize and sort facts gathered from reading. Next, readers focus on specific terms in each paragraphs of the text Ants by...
EngageNY
Conducting Research: Analyzing a Variety of Sources to Capture Information about My Insect
From picture to words. Scholars analyze a picture of an ant and then list two facts they observed and any questions that may arise. Expert groups from the previous instructional activity then look at a diagram about either an ant or...
EngageNY
Mid-Unit 3 Assessment: On-Demand Note-Taking about Howler Monkeys
Get the facts straight. Scholars complete their mid-unit assessment by reading a text, watching a video, and observing a picture about howler monkeys. They take notes about the facts they discover to use in future lessons.