Transcript Ten Minute Math

Warm Up
1. 56 x 3 =
3. The table below shows the number of
spiders in
each case.
Number of
Cases
Number of
Spiders
4
48
8
96
16
192
32
How many spiders are in 32 cases?
2. 138 ÷ 6 =
4. The Davis family purchased 8,786
pieces of candy to hand out on
Halloween night. If they gave one
piece of candy to each kid that came
by, how many kids did they give candy
to if they had 2,597 piece of candy
left?
Ten Minute Math
Quick Images
Show image for 3 seconds
Write several different equations to find the total number of
dots
Try to look for groups of patterns in the image
First View…
Ten Minute Math
Quick Images
Take a couple of minutes to write down equations.
You may find it helpful to draw the image, jot down
information about what you saw or write equations.
Second view…
Ten Minute Math
Quick Images
You may want to revise your drawings, notes, or equations on the basis of the second viewing.
After a few minutes, show the image again for the third time, but leave the image displayed.
Would anyone like to explain how they saw the image (including any revisions they made)?
How were you able to remember this image after seeing it briefly?
What did you notice in the image that helped you?
Randi, at 15, is three times as old as her younger
sister, Misty. Randi is using this recipe card to
bake a cake to surprise her younger sister.
CAKE
Preheat oven to 350 degrees F.
In a large bowl mix:
1/2 cup butter or margarine
3 eggs
1 cup sugar
1 cup applesauce
Add: 4 cups flour
2 teaspoons baking powder
½ teaspoon salt
3 teaspoon vanilla
Pour into greased pan and bake:
________________________________
Pan Size
Number of Minutes
9 X 13
35 min
8 in. square
42 min
Cupcakes
28 min
2. The oven preheats in 10
minutes. After 5 minutes
the temperature is 175
degrees. How many
degrees must it heat in the
next 5 minutes?
Multiplication Clusters
Multiplication Clusters are a set of problems that are related in some way to the
final problem. Although they are not all related to one another. They are all
related to the final problem.
13 x 2 =
13 x 4 =
3x8=
12 x 8 =
Final Problem: 13 x 8 =
For example, 12 x 8 is not closely related to 13 x 4, but it is related in a
different way to 13 x 8, the final product you are trying to solve in this cluster.
Work with your shoulder partner to solve the Multiplication Cluster. Solve the
first four problems first and chose one or more problems in the cluster to
help you solve the final problem,
Discussion: Multiplication Clusters
13 x 2 =
What strategies did you use to solve the
final problem? (Record some strategies
on Chart Paper to be used later)
13 x 4 =
3x8=
12 x 8 =
Final Problem: 13 x 8 =
Possible Strategy #2
3 x 8 = 24
10 x 8 = 80
13 x 8 = 104
Q: What is happening in this strategy?
A: 13 is broken apart by place value.
Students use 3 x 8 from the cluster and
then add 10 x 8, which is not in the
cluster.
Possible Strategy #1
13 x 2 =26
13 x 4 = 52
13 x 8 = 104
Q: What is happening in this strategy?
A: One of the factors is doubled each time,
which doubles the product.
Possible Strategy #3
12 x 8 = 96
96 + 8 = 104
13 x 8 = 104
Q: What is happening in this strategy?
A: Some of you may just know that
12x8=96. So you can just add 8 more to
solve for 13x8.
Independent Work: Multiplication Cluster Problems
Complete Student Activity Pages 57 and 58 (Give students
about 25 mins)
In the space beside each set of cluster problems you solve,
explain which set of cluster problems you used to solve for
the final product and explain how you used them.
Once your paper is complete: Play Multiplication Migration
in groups no larger than 4.
Discussion: Representing Cluster Problems with Arrays
Let’s look back at the strategies you used to solve 13 x 8. How can we
use arrays to show how you used the problems in the cluster?
13
8
I am going to start by drawing just the finaly problem 13 x 8. We will imagine all
the squares are there that make up the array.
How many rows are in this array?
How many squares are in each row?
Discussion: Representing Cluster Problems with Arrays
10
8
13
10 x 8
3
3x8
Possible
Strategy #2
3 x 8 = 24
10 x 8 = 80
13 x 8 = 104
For example, let’s use possible strategy #2.
How should I break up this array to match Possible Strategy #2?
Now that you have seen an example, draw areas to match the strategies you
used to solve for the final problem.