101 Questions
Retina Display
Learners calculate the pixel density of a specific cell phone using the concept of similarity. They use information from the cell phone's website to make their calculations and then compare their results to the posted information.
EngageNY
Square Roots
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
EngageNY
Cyclic Quadrilaterals
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
Centre for Innovation in Mamatics Teaching
Area, Perimeter and Volume
Develop young mathematicians' knowledge of two- and three-dimensional shapes with this geometry workbook. From learning about the classifications of different shapes and figures to calculating their area, perimeter, and volume, this...
EngageNY
Ptolemy's Theorem
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
University of Adeaide
Basic Trigonometry and Radians
A fabulous set of examples and problems that introduce basic trigonometry concepts, this packet is set apart by the care it takes to integrate both radians and degrees into the material. After defining radians, the author demonstrates...
Curated OER
Pythagorean Theorem by Graphic Manipulation
There are many different ways to show a proof of the Pythagorean Theorem. Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own...
Balanced Assessment
Monitor Pricing
Out with the old and in with the new. Learners use a set of prices of computer monitors from 1994 to make a prediction. They then use one current price and what they know about the old prices to make a more recent prediction. Their...
Curated OER
Typical Numeric Questions for Physics I - Motion
Seven pages with 33 multiple choice questions about motion make up this activity. Calculations must be performed in order to choose the correct answer. Physics majors will solve for angles, displacement, acceleration, speed, and time for...
Virginia Department of Education
Pythagorean Theorem
Investigate the meaning of the Pythagorean Theorem through modeling. After comparing the area of the square of each side, individuals cut triangles and squares to facilitate the comparison.
Curated OER
Shapes Activities and Lessons
A fabulous lesson on identifying circles, triangles, squares, and rectangles awaits your students. They use large motor skills hopping from shape to shape, use visual and kinesthetic skills passing a ball of yarn between three people to...
Willow Tree
The Pythagorean Theorem
There isn't a more popular geometry formula than the Pythagorean Theorem! Learners understand the special side relationships in a right triangle. They use the Pythagorean Theorem to find missing sides and to solve problems. They begin...
Mathematics Vision Project
Module 5: Modeling with Geometry
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts to finding...
Curated OER
Amazing Triangles
Student scientists investigate triangle structures. In this building lesson plan, students explore how to design triangle braces in the construction of structures in order to build a stronger base.
Mathematics Vision Project
Geometric Figures
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Houghton Mifflin Harcourt
Unit 6 Math Vocabulary Cards (Grade 3)
A set of 49 math vocabulary cards ranges from angle to irregular polygon to parallel lines. Each sheet contains two cards: one with the word printed in bold text and the other with the definition.
EngageNY
Analytic Proofs of Theorems Previously Proved by Synthetic Means
Prove theorems through an analysis. Learners find the midpoint of each side of a triangle, draw the medians, and find the centroid. They then examine the location of the centroid on each median discovering there is a 1:2 relationship....
EngageNY
More on the Angles of a Triangle
Angles and triangles: they're all connected. Uncover the connections between angles in triangles. Scholars learn how to find both exterior and interior angle measures in triangles. The lesson emphasizes the vocabulary related to these...
101 Questions
Snail's Pace
Time doesn't fly when you're watching a snail cross a sidewalk. Combining the concepts of the Pythagorean Theorem and the distance, rate, and time formula, learners determine how long it takes a snail to go from one corner of a sidewalk...
Curated OER
Investigation-How Many Toothpicks?
Seventh graders use toothpicks to investigate a series of designs and identify patterns. Data is organized and analyzed using tables and graphs, and students make generalizations using algebraic expressions.
Curated OER
Line: a Geometric Exercise
Learners study the different types of lines and create a drawing demonstrating what they learned.
Improving Measurement and Geometry in Elementary Schools
The Sum of the Interior Angles of a Polygon
Junior geometers discover that polygons can be decomposed into triangles and that the number of triangles can be determined by a rule. Note that the Geometer’s Sketchpad® software is required to carry out all components of this lesson.
Curated OER
Square Roots Using a Carpenter's Square
Students calculate the square root of a given number using carpenter's square measurements. In this math lesson, students relate this method on the Pythagorean theorem. They answer practice problems after the exploration activity,
Curated OER
Geometric Pictures of One Half
A learning task that involves creative ways of thinking permits children to use paper models as a way to visualize the fraction one-half. Learners can fold or cut their models in such a way that the unshaded regions, and shaded regions...