Difference between revisions of "Analysis of the Squares: Trinomial"
From wikisori
(New page: === Age === <br> === Materials === <br> === Preparation === <br> === Presentation === <br> === Control Of Error === <br> === Points Of Interest === <br> === Purpose...) |
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Line 1: | Line 1: | ||
=== Age === | === Age === | ||
− | <br> | + | 6-9.<br> |
=== Materials === | === Materials === | ||
− | + | *Box of colored bead bars 1-10 | |
+ | *One each of the squares of 1-10 | ||
+ | *Rubber bands | ||
=== Preparation === | === Preparation === | ||
− | <br> | + | <br> |
=== Presentation === | === Presentation === | ||
− | <br> | + | #This time we'll decompose the square in a different way. |
+ | #Count 3 along one side, and place the rubber band around the square. | ||
+ | #Count 3 along the other side and put on a rubber band. | ||
+ | #Now continue counting 5 more beads, and put a rubber band around. | ||
+ | #Do the same on the other side. | ||
+ | #Directress asks the child; "Into how many parts have we decomposed the square?". | ||
+ | #Observe how each of the 9 parts is composed. | ||
+ | #Notice the three squares which all lie on the diagonal, and the various rectangles formed. | ||
+ | #As before, we'll construct the squares as we write it all down. | ||
+ | |||
+ | 3 x 3 = 09<br>3 x 5 = 15<br>3 x 2 = 06 | ||
+ | |||
+ | 30 | ||
+ | |||
+ | 5 x 3 = 15<br>5 x 5 = 25<br>5 x 2 = 10<br> +50 | ||
+ | |||
+ | 2 x 3 = 06<br>2 x 5 = 10<br>2 x 2 = 04<br> + 20<br> = 100<br> | ||
=== Control Of Error === | === Control Of Error === | ||
− | <br> | + | Compute the sums of the three columns and add them together. Then slide all the bead bars toward the center, and place the 100-square on top. These are the two ways to prove that this equals one hundred.<br> |
=== Points Of Interest === | === Points Of Interest === | ||
− | <br> | + | <br> |
=== Purpose === | === Purpose === | ||
− | <br> | + | <br> |
=== Variation === | === Variation === | ||
− | <br> | + | <br> |
=== Links === | === Links === | ||
− | <br> | + | <br> |
=== Handouts/Attachments === | === Handouts/Attachments === | ||
− | <br> | + | <br> |
− | [[Category:Mathematics]] | + | [[Category:Mathematics]][[Category:Mathematics_6-9]] |
Latest revision as of 04:14, 20 July 2009
Contents
Age
6-9.
Materials
- Box of colored bead bars 1-10
- One each of the squares of 1-10
- Rubber bands
Preparation
Presentation
- This time we'll decompose the square in a different way.
- Count 3 along one side, and place the rubber band around the square.
- Count 3 along the other side and put on a rubber band.
- Now continue counting 5 more beads, and put a rubber band around.
- Do the same on the other side.
- Directress asks the child; "Into how many parts have we decomposed the square?".
- Observe how each of the 9 parts is composed.
- Notice the three squares which all lie on the diagonal, and the various rectangles formed.
- As before, we'll construct the squares as we write it all down.
3 x 3 = 09
3 x 5 = 15
3 x 2 = 06
30
5 x 3 = 15
5 x 5 = 25
5 x 2 = 10
+50
2 x 3 = 06
2 x 5 = 10
2 x 2 = 04
+ 20
= 100
Control Of Error
Compute the sums of the three columns and add them together. Then slide all the bead bars toward the center, and place the 100-square on top. These are the two ways to prove that this equals one hundred.
Points Of Interest
Purpose
Variation
Links
Handouts/Attachments