Here is what 2.G.A.3 states...
Partition circles too rectangles into two, three, or 4 equal shares, depict the shares using the words halves, thirds, one-half of, a tertiary of, etc., too depict the whole as 2 halves, iii thirds, 4 fourths. Recognize that equal shares of identical wholes ask non get got the same shape.
Sounds pretty good, but the final judgement I am non certain what they hateful yesteryear that. If you lot know I'd dearest to withdraw heed what you lot think. If wholes are identical doesn't that hateful they are the same shape? Anyway, my activity is for the get down judgement of this standard.
Activity Name: Partitioning shapes (equally!). Any kids tin partition shapes... Yep, drawing lines through objects is easy, but how tin nosotros brand all the sections equal!? Get out the rulers, compasses, too protractors students! For the slow agency you lot tin crimp papers, but I recommend trying the measurements too.
Concepts: Geometry (knowing to a greater extent than than only the shape, but to dissever upwards a circle nosotros volition ask to know the oculus indicate too hash out grade measurements perhaps), early on partitioning (in fellowship to brand things really equal nosotros volition travel dividing a bit), too fractions (please permit your students know that fractions are partitioning problems too).
Supplies: Ruler, compass, protractor, pencil (and paper).
Time Needed: This actually depends on your class. You mightiness desire to only accept i sort at a fourth dimension too produce i each day. We are doing both a rectangle too a circle today.
Instructions:
- Have your students pull a circle amongst their orbit (marking the oculus dot) too a rectangle--making certain that they get got xc grade angled corners. (You tin too should hash out this amongst them)
- Discuss partitioning. What does it mean? If nosotros seat iii partitions inwards whatsoever rectangle would it brand each travel 1/4? Discuss the importance of having each travel go equal.
- Teach how to discovery the equal partition.
- With the circle, explicate that a sum rotation is 360 degrees. For whatsoever business to dissever the circle it needs to transcend through the oculus point. (challenge: if you lot don't know the oculus indicate you lot tin cutting out the circle too produce this do amongst exact folds for halves too quarters) Drawing a business that goes through the oculus indicate volition dissever it inwards half, but when nosotros produce a minute business (as to larn inwards into 4 parts, nosotros ask to brand certain that at that topographic point is a xc grade angle to ensure exact partitioning of parts). But what close the 1/3 of a circle? See if the kids tin figure it out or get got ideas how to discovery 3 parts amongst 360 degrees. Eventually they volition discovery too you lot tin instruct that each angle volition ask to travel 120 degrees coming out from the oculus point.
- With the rectangle, it is of import for the kids to sympathise inwards fellowship to brand equal parts it is of import to stair out (or brand exact folds). With rectangles at that topographic point are to a greater extent than ways than i to brand one-half too a 4th (due to using vertical too horizontal lines). It may travel easiest to cutting the newspaper out too only produce folds, but it would travel groovy for students to produce the measurements too discovery the half-way points.
Can the students discovery the one-half agency mark? Here, I know one-half of v is 2.5 too thence I ask to transcend along going to one-half 0.3 (0.15).
- Have kids play too discover. The to a greater extent than they produce these types of hands-on activities the to a greater extent than they tin grasp other geometric concepts too!
