Geometry In Space

Viewers learn how to apply proportional reasoning to find area of sectors and arc lengths with a video that starts off explaining how to find the areas of circle sectors and the lengths of arcs. Scholars then practice solving problems...

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...

Investigate relationships between angles, arcs, and segments in circles. Pupils use geometry software to discover the relationships between angles, arcs, and segments associated with circles. Class members use similar triangles to...

You've investigated relationships between chords, radii, and diameters—now it's time for arcs. Learners investigate relationships between arcs and chords. Learners then prove that congruent chords have congruent arcs, congruent arcs have...

It's all relatively simple once you get the gist. Young mathematicians learn about sample spaces and simple probability by conducting an activity with dice. To complete the second of six parts in the Statistics and Probability unit, they...

How do 2-D properties relate in 3-D? Lead the class in a discussion on how to draw and see relationships of lines and planes in three dimensions. The ability to see these relationships is critical to the further study of volume and...

Groups explore illumination with NASA's Lighting Environment Test Facility (LETF) as a context. Using the TI-Nspire app, groups determine the lux equation that models their simulation. They then use the lux equation to...

Circular patterns and movement are commonplace in our world. Young mathematicians begin their study of circles with instruction on finding the degree measure of both major and minor arcs. Examples focus on the arc in relation to the...

Viewers fill their minds with space-filling curves watching a video of animations that show examples of space-filling curves, such as the Peano curve and the "Flow Snake" curve. The video also illustrates how space-filling curves...

How are arc lengths and radians related? An interactive resource demonstrates the relationship as pupils create arc lengths in a unit circle and compare them to the angle measurements. Questions ask individuals to build upon this...