EngageNY
Waves, Sinusoids, and Identities
What is the net effect when two waves interfere with each other? The lesson plan answers this question by helping the class visualize waves through graphing. Pupils graph individual waves and determine the effect of the interference...
Willow Tree
Measurement
Build a basic understanding of units of measure and create a great foundation for your learners. The lesson gives a complete overview of everything measurement, from types of measurement to rounding to conversions — it has it all!
EngageNY
Completing the Square (part 2)
Give classes confidence in completing the square with a resource that develops the process of completing the square of more complex problems, including fractions and values greater than one. It then uses quadratic modeling for profit and...
Curated OER
Math: Investigating Triangles
Tenth graders identify the trigonometric ratios for right angled triangles. Through independent investigation, they discover the constancy between the ratios of any two sides of similar triangles. In an alternative method, 10th graders...
Illustrative Mathematics
Running Around a Track II
On your mark, get set, GO! The class sprints toward the conclusions in a race analysis activity. The staggered start of the 400-m foot race is taken apart in detail, and then learners step back and develop some overall race strategy and...
Illustrative Mathematics
What’s Missing?
Now you see them, now you don't! This fun peek-a-boo activity engages young mathematicians in developing their ability to compose and decompose numbers. After being presented with a series of counters, children close their eyes while the...
Vancouver Community College Learning Centre
Symmetry & Odd/Even Functions
This straightforward worksheet provides learners with valuable practice in identifying different symmetries of functions. Brief, but thorough explication at the front of the worksheet guides and reminds learners of the techniques they...
Mathematics Vision Project
Module 8: Modeling Data
Statistics come front and center in this unit all about analyzing discrete data. Real-world situations yield data sets that the class then uses to tease out connections and conclusions. Beginning with the basic histogram and...
Laying the Foundation
Box-and-Whisker Plots
Statistics is made approachable, and dare we say fun, in this activity on using box-and-whisker plots to analyze and compare data sets. Specific emphasis is placed on interpretations and explanations while graphing, and in using the...
Willow Tree
Factoring
Build an understanding of factors and use it to write the prime factorization of numbers. After exploring key vocabulary, learners create prime factorization for given numbers. They then use the prime factorizations to determine the...
Willow Tree
Fibonacci and Other Sequences
Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....
Willow Tree
Angle Sum Property of Triangles
All triangles have some things in common. Using these properties of triangles, learners find missing angle measures. Scholars use the Angle Sum Property and properties of special triangles throughout the lesson.
Willow Tree
Perimeter of Common Geometric Figures
Help learners understand that perimeter and circumference are one in the same. Learners apply their skills to determine the perimeter/circumference of triangles, rectangles, and circles. They then use the same strategy to find the...
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
Willow Tree
Line Plots
You can't see patterns in a jumble of numbers ... so organize them! Learners take a set of data and use a line plot to organize the numbers. From the line plot, they find minimum, maximum, mean, and make other conclusions about the data.
Mathematics Assessment Project
Skeleton Tower
Who doesn't like building blocks? In the task, pupils use a given diagram of a tower to determine the number of needed blocks. Using this information, pupils then develop a function rule relating the height of the tower to the number of...
Mathematics Assessment Project
Table Tiling
How many total tiles does it take to tile a table top? Learners apply geometric concepts to determine the number of tiles needed for a specific square table top, and then use the result to create expressions for the number of tiles...
Mathematics Assessment Project
Circles in Triangles
Circles, and triangles, and tangents, oh my! In the assessment task, learners first answer questions leading to the radius of an inscribed circle for a given right triangle. They then use the result to independently determine the radius...
Mathematics Assessment Project
Sidewalk Patterns
Sidewalk patterns ... it's definitely not foursquare! Learners investigate patterns in sidewalk blocks, write an expression to represent the pattern, and then solve problems using the expressions.
Mathematics Assessment Project
Printing Tickets
That's the ticket! Pupils write and investigate two linear functions representing the cost of printing tickets. Individuals then determine which of two printing companies would be a better buy.
Mathematics Assessment Project
Card Game
Middle schoolers use 10 cards to determine whether the probability that the next card chosen is higher or lower than the previous.
Illustrative Mathematics
Sum and Difference Angle Formulas
Need practice deriving trigonometric angle formulas? With this worksheet, pupils derive the sum and difference formulas for cosine and tangent and the difference formula for sine. Scholars use the sine sum formula and other known...
PBL Pathways
Death Project
Verify the rule of thumb for finding the time of death. The project-based learning task asks pupils to determine when the rule of thumb process of finding the time of death is appropriate. Learners develop a function for the rule and...
Noyce Foundation
Part and Whole
Now you'll never have trouble cutting a cake evenly again. Here is a set of five problems all about partitioning shapes into a given number of pieces and identifying the fractional amount of each piece. As learners progress through the...