EngageNY
Copy and Bisect an Angle
More constructions! In this third installment of a 36-part series, learners watch a YouTube video on creating door trim to see how to bisect an angle. They then investigate how to copy an angle by ordering a given list of steps.
Curated OER
Rating Systems
Your favorite sports team is ranked #1. How do the powers that be determine this rating? Learn how ratings are mathematically computed using probability concepts, from the Elo Rating System for chess to the Rating Percentage Index for...
EngageNY
Trigonometric Identity Proofs
Proving a trig identity might just be easier than proving your own identity at the airport. Learners first investigate a table of values to determine and prove the addition formulas for sine and cosine. They then use this result to...
EngageNY
Construct an Equilateral Triangle (part 1)
Drawing circles isn't the only thing compasses are good for. In this first installment of a 36-part series, high schoolers learn how to draw equilateral triangles by investigating real-world situations, such as finding the location of a...
EngageNY
Rational Exponents—What are 2^1/2 and 2^1/3?
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
EngageNY
Secant Lines; Secant Lines That Meet Inside a Circle
Young mathematicians identify different cases of intersecting secant lines. They then investigate the case where secant lines meet inside a circle.
EngageNY
Construct a Perpendicular Bisector
How hard can it be to split something in half? Learners investigate how previously learned concepts from angle bisectors can be used to develop ways to construct perpendicular bisectors. The resource also covers constructing a...
Radford University
The Pythagorean Theorem in Crime Scene Investigation
It's a Pythagorean who-dun-it. Pupils apply the Pythagorean Theorem in several different real-world scenarios involving right triangles. By solving each task, they find the thief who was responsible for a museum heist.
Curated OER
Probability Lesson 3
Here are a few well-thought-out discussion questions intended to accompany a probability activity. Learners consider equal chance outcomes under given situations, they investigate those outcomes by tossing a coin 30 times. They analyze...
University of Utah
Statistics-Investigate Patterns of Association in Bivariate Data
Young mathematicians construct and analyze patterns of association in bivariate data using scatter plots and linear models. The sixth chapter of a 10-part eighth grade workbook series then prompts class members to construct and...
California Academy of Science
Optimal and Sustainable: Renewable Energy Revamp
More than 100 cities around the world have shifted from fossil fuels to renewable energy sources. Scholars investigate a city wanting to make this switch, but needs help determining how to make the shift. Groups consider all options,...
Curated OER
Investigation - Who is Right?
Third graders explore mathematics by solving problems in groups. In this math functions activity, 3rd graders demonstrate their understanding of addition and subtraction by completing two digit math problems. Students define a list of...
Curated OER
Mathematical Modeling and Physics
Twelfth graders use a web site to investigate roller coaster physics. In this mathematical modeling lesson plan, 12th graders are grouped according to their performance on a test. Each group is given an activity to complete on a web site...
Curated OER
Math Investigations
Students demonstrate how math is used in everyday life. In this math investigation lesson, students develop a class-list of ways they use math everyday. Students define math vocabulary words, such as "counting," "daily life," and "measure."
Curated OER
Mathematical Puzzles
In this mathematical puzzles worksheet, students read a question about how old two mice could be. Students find as many possible answers as they can and record them.
EngageNY
Arcs and Chords
You've investigated relationships between chords, radii, and diameters—now it's time for arcs. Learners investigate relationships between arcs and chords. Learners then prove that congruent chords have congruent arcs, congruent arcs have...
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
Volume of a Sphere
To understand an informal derivation of the formula to find the volume of a sphere, young mathematicians investigate the volume of a sphere about the volume of a right circular cylinder. They develop the formula for the volume of a...
Curated OER
A Prime Investigation wtih 7, 11, and 13
Ninth graders investigate divisibility rules. In this middle school mathematics/Algebra I lesson, 9th graders explore the divisibility rules of 7, 11, and 13. Students examine certain six-digit numbers that are divisible by...
Curated OER
Investigation - Patterns
Students create a pattern out of pattern blocks. In this math lesson, students work with a partner to investigate the pattern they have. Within that group, students continue to design the pattern by adding the next two pieces....
Curated OER
Investigation So What's The Difference?
First graders investigate the differences between shapes. In this block characteristics lesson, 1st graders work in groups to explore blocks, group the blocks by different characteristics, discuss the block attributes and record...
Alabama Learning Exchange
Investigating School Safety and Slope
Learners investigate the slope of various stairways through a "news report" approach and employ mathematical knowledge of applied slope to report on wheelchair accessibility and adherence to Americans with Disabilities Act. They...
Curated OER
Investigating Patterns to Develop Logarithm Rules
In this logarithmic worksheet, students make conjectures regarding the rules for condensing and expanding logarithms by investigating patterns. This is designed to be done as a group activity.
Curated OER
Investigation - Square Numbers and Triangle Numbers
Fifth graders investigate growth patterns using blocks. In this square and triangle numbers lesson, 5th graders predict sizes of larger triangles and squares based on numerical patterns they observed while building.