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.
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 formula.
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...
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....
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...
Curated OER
All About Measuring with the Metric System
Students discover the metric system through video clips and Internet activities. In this measurements lesson, students practice using the units of measure for the metric system and compare them to the less popular English system....
Curated OER
English Measurement System
Young scholars determine how to convert measurement. In this English Measurement instructional activity, students discover interesting facts about the history of measurement. Young scholars study formulas and practice using them.
Curated OER
Henry's Freedom Box
Third graders create a shipping box from a cardboard material. For this measuring lesson, 3rd graders read the book Henry's Freedom Box and discuss the main idea. In the story a slave ships himself to freedom and the students measure and...
Curated OER
Mass: Applying and Interpreting
Students rotate through six studying stations solving problems that involve applying and interpreting aspects of mass. They solve various word problems, and measure the contents of cans and calculate the mass of two cans.
Curated OER
Pan Balance: Shapes
Students explore the concept of equivalence as it relates to comparing concrete objects to determine greater or lesser attributes such as length and weight. In this pan balance-shapes instructional activity, students make estimations...
Curated OER
Measurement and Estimation
Third graders create a table in order to record estimations and measurements of objects. In this estimation and measurement lesson plan, 3rd graders estimate and measure object's lengths, area, weight, and capacity.
Curated OER
Radians, Arc Length, and the Area of a Sector
In this college level geometry worksheet, students convert between degrees and radians. Students determine arc length and solve problems involving the area of a sector. The four page worksheet contains seventy-four problems. Answers...
Curated OER
Counting on Measurement
First graders explore measurement. They measure by counting non-standard units. Students use a variety of non-standard units to predict and measure volume of various containers using rice.
Curated OER
Mavericks and Measurement
Students study the measurement formulas for area and perimeter in real-life situations. For this area and perimeter lesson, students design a bed and arrange furniture in a hotel room using area and perimeter formulas for a 7 1/2 foot...
Curated OER
Playground Measurement
Fifth graders find a rectangular or square object in the classroom to measure. They measure to the nearest centimeter and apply that knowledge to measuring perimeter. They recognize, describe, and determine surface area and volume of...
Curated OER
Length of an Arc and Area of a Sector
In this length of an arc and area of a sector worksheet, 10th graders solve and complete 12 different types of problems. First, they find the length of an arc in a circle with a given radius and central angle measure. Then, students find...
Curated OER
French Fry Fun: Estimating and Measuring
Third graders demonstrate their estimating and measuring abilities. In this length measurement lesson, 3rd graders produce estimates of how long a handful of French fries will be before physically measuring them. Students graph their...
Curated OER
Indirect Measurement, Surveying Trigonometry
Students measure distances using indirect measurements. In this geometry activity, students apply proportion and ratios to measure heights of different objects. They differentiate between direct and indirect measurements.
Curated OER
Investigating Lengths of Segments in a Triangle
Pupils explore the midsegment of a triangle in the geometry lesson. They draw and measure the segment joining the midpoints of the two sides of a triangle and compare its length to the length of the third side of the triangle. The...
Curated OER
Industrial Measurement: Using Calipers to Assess Acceptable Dimensions
Students accurately measure several dimensions of common objects using calipers. They determine whether a manufactured product meets correct specifications for length, width, height, depth and diameter.
Curated OER
Indirect Measurement
Learners measure and apply their knowledge of proportion to solve problems. In this geometry lesson, students measure using a meter stick, small mirror and measuring tape. They compare and contrast their measurements to objects outside...
Curated OER
Properties of Arcs, Lengths and Chords
Students differentiate between the different properties of arcs, arc lengths, chords, and chord lengths. In this circles lesson, students calculate the arc length of a given circle, and find the measure of the inscribed angles of a...
Alabama Learning Exchange
Cosmic Measurements
Students develop two units of measurement to relate to the astronomical unit and the light year. In this astronomy lesson, students use a Twizzler to develop a measurement unit similar to the astronomical unit. They use a moving object,...