Virginia Department of Education
Arc Length and Area of a Sector
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
PHET
Soda Bottle Magnetometer
Introduce learners to set of complete instructions that describe how to build a magnetometer that works just like the ones professional photographers use to predict auroras. The diagrams are wonderfully descriptive, and the written...
Alabama Learning Exchange
Triangle Congruence with Rigid Motion
Combine transformations and triangle congruence in a single lesson. Scholars learn to view congruent triangles as a rigid transformation. Using triangle congruence criteria, learners identify congruent triangles and the rigid...
Mascil Project
Arranging Tables for a Birthday
Planning a party of 45 guests may be more complicated than it would seem. Learners must design the space in accordance with these constraints about the space available in the room. They need to calculate area, circumference,...
Curated OER
Translations
Students explore the concept of translations. In this translations lesson, students discuss similarities and differences between images and pre-images. Students apply translations to coordinates of figures. Students use patty paper to...
Curated OER
Perimeter and Area of Similar Figures
Students explore the relationships between similar figures. In this relationships between similar figures lesson, students discuss relationships between perimeter, circumference, area, surface area, and volume of similar figures through...
Curated OER
Math: Arcs and Chords
Students draw diagrams demonstrating how it is possible to two central angles to be congruent and their minor arcs are not congruent. In groups, they illustrate theorems with their constructed circles, create diameters of circles that...
Curated OER
Coordinate Proofs
Learners explore the concept of coordinate proofs. In this coordinate proofs lesson, students write coordinate proofs using properties of distance, slope, and midpoint. Learners discuss why it is sometimes beneficial to double the...
Curated OER
Inscribed Angles
Pupils analyze inscribed angles and intercepted arcs and explore the relationships between the two. They investigate the properties of angles, arcs, chords, tangents, and secants to solve problems involving circles.
Curated OER
Using Trigonometry
Fifth graders explore the use of trigonometry to find unknown sides and angles in right-angled triangles, taking the concepts that were developed in the previous unit and looking at different ways of practicing the new skills. Students...
Curated OER
Team Puzzles
Fourth graders work in co-operative teams of four to complete a puzzle. Each student initially works independently, and then the team jointly puts together the four shapes they have individually made, to complete the puzzle.
Curated OER
Angles, Parallel Lines, and Polygons
Students examine how to investigate polygons using an instrument of their own construction. They should be able to prove the general formula for the number of degrees in any polygon (including a triangle). Finally they investigate an...
Curated OER
Investigating the Idea of Tan
Fifth graders use tan to solve problems involving right-angled triangles. They solve equations of the form tan(8) =a, for a between 180 degrees and 360 degrees. They state the value of tan (8) in special cases.
Curated OER
Trigonometric Applications Outside the Classroom
Fifth graders describe and demonstrate how trigonometry can be used to find the height of a tall building or tree. They describe and demonstrate how trigonometry can be used to find the height of a high hill, or other high object where...
Curated OER
Similar Triangles
Ninth graders find the height of every day objects using techniques learned through postulates that allow triangles in a problem to be similar. They calculate the length of a missing side and solve proportions.
Curated OER
Pythagorean Theorem
Students investigate the Pythagorean Theorem. In this seventh through twelfth grade geometery instructional activity, students explore the Pythagorean Theorem and its converse and use it to find the length of the missing side...
Curated OER
Shake, Rattle & Roll
Students examine soil. In this science lesson, students examine the layers of soil. Students collect soil from various locations and separate the layers. Students record and chart their findings.
Curated OER
Reflections
Fifth graders create a reflection of a poygon using a Mira. They discover that a line connecting a vertiex of a polygon and the corresponding vertex of its reflection is perpendicular to the line of reflection. Students create a glide...
Curated OER
How To Find the Area of a Square And Rectangle
Learners practice using the formula to calculate the area of a square or triangle. They participate in large group guided practice using simple area of squares problems then complete a series of problems calculating the area of rectangles.
Curated OER
Investigating Volume
Students investigate the components of volume and use appropriate units and procedures to calculate the volume of several household boxes.
Curated OER
Tiling the Plane
Fifth graders use pattern blocks and triagular grid paper to reivew shape names, be introduced to the concept of a tiling of the plane, and determine which pattern blocks tile the plane. They are asked if they comprehend what a...
Curated OER
What on Earth is Greater Than?
Students compare things that are greater than, less than, or equal to, compare the Earth to other planets, and list planets from greatest size to smallest size.
Curated OER
Ratios (Cost of a Habit)
Students consider an individual habit and its cost. They study ratios and proportions, and use that knowledge to calculate the cost of a habit over extended periods of time. write a detailed comparison of the costs.
Curated OER
Christmas Presents
Seventh graders create a graph of their Christmas gifts. They develop categories, compute fractional and decimal parts for each category, identify the number of degrees to represent each fractional part, and create a circle graph to...
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