EngageNY
Dividing the King’s Foot into 12 Equal Pieces
Apply, apply, apply! A measurement lesson applies a number of concepts to help learn a new construction. Scholars learn to divide a segment into n equal parts using a method that uses the Side Splitter Theorem and a method that...
EngageNY
Applying the Laws of Sines and Cosines
Breaking the law in math doesn't get you jail time, but it does get you a wrong answer! After developing the Law of Sines and Cosines in lesson 33 of 36, the resource asks learners to apply the laws to different situations. Pupils must...
EngageNY
Similarity and the Angle Bisector Theorem
Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to...
Curated OER
How Far Can You Jump?
Students estimate the distance of student's broad jumps. This activity can take place in the block center with a small group of students. They are explained that they are going to jump from a starting point (marked with the masking...
Illustrative Mathematics
Christo’s Building
Hook your charges on how to solve a real-world art problem with mathematics by showing works of Christo. You can find eye-catching images on the Christo and Jeanne Claude webpage. Here, math learners help Jean Claude and Christo prepare...
EngageNY
Making Scale Drawings Using the Ratio Method
Is that drawn to scale? Capture the artistry of geometry using the ratio method to create dilations. Mathematicians use a center and ratio to create a scaled drawing. They then use a ruler and protractor to verify measurements.
National Council of Teachers of Mathematics
Scale Factor
Does doubling mean everything doubles? Learners adjust the scale factor between two rectangles. Using the calculated measurements, pupils investigate the ratios between the lengths, perimeters, and areas of the rectangles.
EngageNY
Prove the Pythagorean Theorem Using Similarity
Amaze your classes with the ability to find side lengths of triangles immediately — they'll all want to know your trick! Learners use the Pythagorean Theorem and special right triangle relationships to find missing side lengths.
Curated OER
Simple Area of a Rectangle
These rectangles have everything scholars need to find the area, but none of them has units. Beginners to this skill multiply the length and width, all of which are whole numbers, to calculate and record the area for each. Consider...
Curated OER
What's the Perimeter?
Find the perimeter of squares and rectangles with a straightforward worksheet. An example at the top of the page shows third graders how to find the perimenter, along with the addition problem necessary to find it. Pupils then work on...
Virginia Department of Education
Mathematics Vocabulary Cards - Grade 5
Elevate your fifth graders' understanding of math concepts with a series of vocabulary posters. Featuring terms concerning probability and statistics, measurement, algebra, and decimal place value (and many more), the posters are...
Lane Community College
Review Sheets: Introductory Physical Science
This hybrid instructional activity connects mathematics to a science class. Learners practice solving problems that involve making a variety of conversions. An assortment of questions hits all the calculations needed for a middle school...
EngageNY
Law of Cosines
Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...
EngageNY
Proving the Area of a Disk
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference...
101 Questions
Marine Ramp
Boat ramps move with waves and changes in water level. Scholars decide on the proper length for a ramp so the angle connecting both sides is appropriate. They visualize the situation and use a simulation to view the results with their...
Radford University
Marking Starting Locations for the 400-Meter Dash Track and Field Event
No fair! I had to run more than they did! Young mathematicians first measure various lengths on a school track. They develop strategies and show calculations to prove that all participants will run the same length using a staggered...
Curated OER
What Time Is It? Part 2
Tell time to the half hour with these analog clocks! The first six problems invite first graders to write the correct times below, while the second set of problems provide the time and empty clock faces. A great way to review your time...
K20 LEARN
Are We Golden?
Lead your class on a search for precious bones. Using a presentation, the class investigates the golden ratio in art and nature. Groups of pupils measure specific bones and find the average ratio for the class. To further cement the...
MENSA Education & Research Foundation
Pi Day Fun!
In this multi-faceted introduction to pi, participants perform a bevy of pi-related activities. Ranging from measuring household items to singing pi songs and reading pi stories, this fun and non-intimidating resource serves to bring up...
Illustrative Mathematics
Bank Shot
Young geometers become pool sharks in this analysis of the angles and lengths of a trick shot. By using angles of incidence and reflection to develop similar triangles, learners plan the exact placement of balls to make the shot....
Mathed Up!
Similar Shapes
Similar shapes are all about the scale. Given seven problems, pupils use scale factors to determine measurements within similar shapes. While solving the problem, scholars also determine whether two figures are similar and use...
Radford University
Discover Radians!
No need for radians to be mysterious. Scholars use a cardboard cut-out of a unit circle and measure the radius and circumference using a piece of string. They consider the number of radii needed to cover the entire circumference and use...
Curated OER
Choose a Graph to Display Data
For this math graphs worksheet, students write line plot, tally chart, pictograph, or bar graph to tell the best kind of graph to use to answer the six questions.
Curated OER
Kites
Students practice estimating and comparing measurements using yards, feet, and inches. They make comparisons about kites and a variety of measurements. Afterwards, they complete an activity sheet and draw a bird kite with long wings and...