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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...
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...
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...
CK-12 Foundation
Pythagorean Theorem to Determine Distance: Neighborhood Map
Find the distance between various locations in a neighborhood. Scholars use the interactive to find distances between locations on a map. The map is overlaid onto a grid to provide coordinates for each location, and pupils apply...
CK-12 Foundation
Conjectures and Counterexamples: An Extra Slice!
Class members will eat up an enticing interactive that lets users change the location of cuts made into a pizza to adjust the number of created slices. They create a counterexample for a conjecture on the number of slices.
Concord Consortium
Circling Trains
And round and round the park we go! Given a description of an amusement park with the locations of three attractions connected by walkways, learners consider what happens when additional attractions join the mix by doubling the length of...
Concord Consortium
Systematic Solution II
Up the difficulty level by solving a system of equations with variable coefficients. Young scholars devise a plan to solve for x and y in terms of a and b. They represent their solutions as expressions and explain their...
Concord Consortium
School Bus Routes
Plan the way to school. Given a map of a school district, class members portray a transportation consultant hired to develop a bus transportation plan that will pick up the eligible riders and get them to school. The plan must contain...
Radford University
Throwing a Football
Use mathematics to help the football team. Pairs brainstorm how to approach finding a solution to a problem to help the quarterback complete more passes. By researching and collecting data, the teams derive an equation to represent the...
EngageNY
The Binomial Theorem
Sometimes, there is a better way. Scholars develop Pascal's triangle as a method to arrive at the coefficients of binomial expansions as an easier method to expand binomials. The learners connect the formula for binomial coefficients to...
EngageNY
The Binomial Theorem
Investigate patterns in the binomial theorem. Pupils begin by reviewing the coefficients from Pascal's triangle. They look at the individual terms, the sums of the coefficients on a row, and the alternating sum of each row. Individuals...
EngageNY
End Behavior of Rational Functions
Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...
EngageNY
Rational Functions
Make a connection between rational expressions and rational functions. Pupils review simplifying and performing operations on rational expressions and recall what it means for two rational expressions to be equivalent based on their...
EngageNY
Inverse Functions
Undo the functions. Learners refresh their knowledge of inverses of functions from Algebra II in the 19th section of a 23-part Precalculus unit. Pupils look at inverses in tables and graphs. They then add to their understanding of...
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...
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....