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Curated OER
Geometry, Measurement & Reasoning
Students measure prisms and determine their volume. In this measurement and reasoning lesson, students estimate the volume and area of prisms. They measure given boxes. Students use paper to create prisms and cylinders. They determine...
Curated OER
Angle Measurements
In this angle measurement worksheet, 10th graders solve and complete 9 different word problems. First, they read the word problems carefully. Then, students draw a picture that represents each problem and solve. Finally, they find side...
Curated OER
Length of an Arc
Twelfth graders define an arc and find its length. In this calculus lesson, 12th graders roll out a circle and measure its length using the same method of a triangle and its hypotenuse. They apply the Pythagorean Theorem to some...
Curated OER
Tests for Parallelograms Homework
In this test for parallelograms instructional activity, students solve 15 short answer problems. Students determine if a given sketch is a parallelogram given angle measures and/or side lengths. Students use knowledge of parallelograms...
Curated OER
Measuring the Sun's Position
In this sun instructional activity, students measure the altitude of the sun and the azimuth of the sun to determine the sun's position five times a day for a week. They answer questions about their results.
Curated OER
Pendulums on the Moon
Students conduct experiments to determine if length, mass, or starting angle has any effect on the rate of a pendulum's swing. They also conduct an experiment online to determine if gravitational force plays a role in the swing. Groups...
Curated OER
How Far Along Each Line Are The Arrows?
In this how far along each line are the arrows learning exercise, students determine the length on sixteen different lines. Students show the percentage and/or decimal equivalent of their answers to each line.
Curated OER
Fermi Observatory Measures the Lumps in Space
In this gamma-ray worksheet, students read about the Fermi Gamma-ray Observatory and how it measures the invisible lumps in space. Students solve 3 problems using an equation to determine the time that gamma-rays travel in space and the...
Curated OER
Ratio Measures
In this ratio measures worksheet, 10th graders solve and complete 8 different types of problems. First, they find the largest angle of a hexagon. Then, students solve the proportions shown. They also name the similar figures by filling...
Curated OER
Number Sense and Numeration: Multiples, Factors and Square Roots
A great resource for any math teacher covering multiples, factors or square roots; this worksheet walks young mathematicians through the logic behind factoring and square roots with a systematic set of problems which gradually increase...
Curated OER
Problem Solving: Draw a Diagram
This problem solving PowerPoint presents a detailed, logical sequence of steps to follow in order to solve a story problem. The thinking processes described are given in text and represented by a visual model. After discussing the...
Common Core Sheets
Determining Area with Square Units
Third graders measure area by counting unit squares inside a rectangle.
EngageNY
Between-Figure and Within-Figure Ratios
Tie the unit together and see concepts click in your young mathematicians' minds. Scholars apply the properties of similar triangles to find heights of objects. They concentrate on the proportions built with known measures and solve to...
Virginia Department of Education
Going the Distance
Estimate the value of one of the most famous irrational numbers. The hands-on instructional activity instructs classmates to measure the circumference and diameters of circles using yarn. The ratio of these quantities defines pi.
Virginia Department of Education
How Many Triangles?
Something for young mathematicians to remember: the sum of any two sides must be greater than the third. Class members investigates the Triangle Inequality Theorem to find the relationship between the sides of a triangle. At the...
EngageNY
Dividing the King’s Foot into 12 Equal Pieces
Apply, apply, apply! A measurement activity 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...
Curated OER
To Be a Triangle Or Not To Be a Triangle?
In this triangles worksheet, 10th graders solve and complete 10 different problems that include applying the Triangle Inequality Theorem. First, they use the illustrated triangles and the data table to test the theorem. Then, students...
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...
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.
Illustrative Mathematics
Toilet Roll
Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a...
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...
American Statistical Association
Armspans
Young mathematicians collect data on the arm spans of classmates. Then they sort the data by measures of center, spread, and standard deviation. Finally, they compare groups, such as boys and girls, to interpret any differences.
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.
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