Mathematics Vision Project
Module 6: Trigonometric Functions
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
EngageNY
Sequencing Rotations
Discover the result of a sequence of rotations about different centers. Pupils perform rotations to examine the patterns. They also describe the sequence of rotations that performed to reach a desired result in the ninth installment in a...
EngageNY
Algebra II Module 2: Mid-Module Assessment
Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.
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...
EngageNY
End-of-Module Assessment Task - Geometry (module 2)
Increase the level of assessment rigor with the test of performance tasks. Topics include similar triangles, trigonometric ratios, Law of Sines, Law of Cosines, and trigonometric problem solving.
Illustrative Mathematics
Eratosthenes and the Circumference of the Earth
The class gets to practice being a mathematician in ancient Greece, performing geometric application problems in the way of Eratosthenes. After following the steps of the great mathematicians, they then compare the (surprisingly...
EngageNY
Construct and Apply a Sequence of Rigid Motions
Breaking the rules is one thing, proving it is another! Learners expand on their previous understanding of congruence and apply a mathematical definition to transformations. They perform and identify a sequence of transformations and use...
Inside Mathematics
Quadrilaterals
What figure is formed by connecting the midpoints of the sides of a quadrilateral? The geometry assessment task has class members work through the process of determining the figure inscribed in a quadrilateral. Pupils use geometric...
PHET
CME Plotting
Young scientists build on their previous knowledge and apply it to coronal mass ejections. By plotting the path of two different coronal mass ejections, they develop an understanding of why most don't collide with Earth.
Curated OER
Volume of Solid Figures
Learners calculate volume using the correct formula and the correct unit. They explore different prisms, spheres, cubes, and cones as they calculate volume and relate it to depths in oceans.
Curated OER
The Reason for the Seasons
Students compare graphs of their data that was generated on a NASA website. In this seasons lesson students complete a lab activity.
Exploratorium
Rotating String Shapes
Here is a very interesting way of studying triangles and polygons. Pupils work together and use pieces of string to create a variety of shapes. Depending on how many kids are manipulating the string at any one time, the number of...
Mathematics Vision Project
Module 7: Trigonometric Functions, Equations, and Identities
Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...
Curated OER
Red October
Fourth graders follow directions given in bearings. They invent their own maps using them and use a protractor to help them with their designs. Students
produce their own maps with instructions for navigating the maps. The channels...
Curated OER
Geometry Definitions
In this geometry learning exercise, students match the geometry term with its definition. Students match 12 geometry terms with their definitions.
Curated OER
Science: Vectors
Students solve vector problems and identify the x and y coordinates. They determine if the coordinates are positive, negative, or zero. Students solve problems and convert the x and y coordinates to magnitude and direction.
Curated OER
Tessellation
Students create an art piece incorporating tessellating shapes, translational symmetry, reflectional symmetry,and or rotational symmetry. They are asked if they know the definition of tessellation. If so, students are asked what shapes...
Curated OER
Fractals
Students explore the concept of fractals. In this fractal lesson, students use applets to explore Koch's Snowflake, Sierpinski's Triangle, and other fractals. Students develop these concepts through exploration and teacher guided...
Curated OER
The Baby Gate Problem
In this secondary mathematics worksheet, students expand a six-panel play yard by two-panels Students determine the width of each panel and the area of the expansion. The one page worksheet contains one problem with the...
Curated OER
Pythagorean Theorem
Students explore the history of Pythagoras and his contributions to mathematics. In this middle school geometry lesson, students use one inch tiles to investigate the Pythagorean Theorem and to find the length of the sides of a right...
Curated OER
Acceleration of Gravity with Pendulums
Students explore, analyze and study to see whether the length of a pendulum affects its period and whether the mass of a pendulum affects its period. They review and discuss a lengthy list of math definitions and experiment with tables...
Curated OER
Altitude Tracking
Students estimate the altitude of a rocket during several flights. They create their own altitude tracking devise. They examine and discuss their results at the end of the activity.
Curated OER
You Can't Go Wrong with a Right Triangle 1
Fourth and fifth graders study the Pythagorean Theorem and apply it to find the missing side of a right triangle.
Curated OER
Exploring the Definition of Reflection
Students practice using a protractor and ruler to draw various points and lines. Using a computer, they draw the points and lines in the program and describe the differences between their drawing and the computer's drawing. They complete...