Transcript Ten Minute Math

Problem Solving Block
Skill Block Review
DECIMALS
Find the EXACT answer.
2.31+ 9 + 5.6 +
0.31 + 16 =
*Remember to line up your decimals!
Skill Block Review
Multiplication/Division
56 x 48=
564 ÷ 4 =
REVIEW: Data Tables
REVIEW: Geometry
REVIEW: Elapsed Time
The program started at 4:45pm and was
over at 7:05. How long was the program?
If one flower is chosen and put into a vase, how many
possible combinations can be made?
How many different meals can be made if one item
is chosen from each category?
Sandwich
Side
Dessert
How can we predict possible outcomes?
Activity 1: Pairs
As students are watching, place four tiles in a bag,
one red and three blue. If I shake up the bag and
don’t look while I’m drawing, what color do you think I
am more likely to draw out, red or blue? Why?
Today you are going to conduct and experiment that
will help test the question of whether red or blue will
occur more often.
Each pair of students will put one red and three blue
tiles in a bag. Then, without looking, you will take a
tile out and record if it is red or blue and then place it
back in the bag. You will do this 20 times.
16
14
Each pair of students needs to record your data on a
sheet of notebook paper by numbering 1 to 20 and
recording what color you draw each time.
12
10
8
6
When you are finished, you need to create a visual
representation of your data by creating a bar graph.
4
2
0
Blue
Red
How can we predict possible outcomes?
Discussion:
Have each pair share their results and record on class chart.
• Did every pair of students get the same result? Why?
•Did more red or blue occur for the class? Was there a big difference?
•If you added up all the reds and all the blues in the class, about how many times
more did you get blue?
•What would happen if we repeated this experiment? Would blue always come up
more often?
• What is the probability of drawing a red tile?
•What is the probability of drawing a blue tile?
The theoretical probability is 1 out of 4 of drawing red and 3 out of 4 of drawing
blue. Discuss with students the various ways of stating these probabilities (these
ways include: 1 out of 4, one-quarter chance, ¼ , 25% chance for red; 3 out of 4,
three-quarter chance, ¾ , 75% chance for blue; better chance for blue; unequal
chances).
•Are the results of the experiment similar to the theoretical probability? With just a
few trials, they may not be similar, but with many trials the results will look more and
more like the theoretical probability.
How can we predict possible outcomes?
Activity 2: Whole Class
This is a mystery bag. No one can look in the bag until the end of
the activity.
There are some green and some yellow tiles in this bag. There
are a total of 10 tiles in all. We’re going to pass the bag around
the class and each student will draw out one tile, tell the color, and
then replace it in the bag.
As we draw tiles, each of you will record the results on a sheet of
notebook paper. As we draw out tiles, I want you to be thinking
about whether there are more yellow tiles, more green tiles or five
of each color.
How many draws do you think we will need to make before we
can decide if there is more of one color or the same number of
each color? Why?
How can we predict possible outcomes?
Activity 2: Whole Class
Begin passing the bag around and have students draw and tell the color. Be sure
students don’t look in the bag.
After two draws, ask the students to look at the information they’ve recorded. Is there
enough information to decide if there is more of one color or the same number of each
color? Why? Repeat this question after 5 draws, 10 draws and 20 draws.
Continue passing the bag around until each student has had the chance to draw out and
replace a tile.
Then have students look at the data they collected and ask them if they can make
predictions as to the exact number of green tiles and yellow tiles. Let some students
share their thinking about this.
Have students write down their predictions on their notebook paper and explain why
they think there is that combination of tiles.
To show how many green and yellow tiles are in the bag, draw tiles out one at a time
and do not replace them.
How can we predict possible outcomes?
Discussion:
Did the data that we collected leas us to believe that there were 7
green yellow tiles in the bag? Why or why not?
Can you make an accurate prediction of what’s in the bag after 10
draws? why not? What about after 20 draws? How many draws
from the bag would take before you could be sure your prediction
would be correct?
What if there were only 3 or 4 tiles in the bag? Would we need as
many draws make an accurate prediction? What if there were 100
tiles in the bag?
How can we predict possible
outcomes?
Independent Work
Tiles in a Bag
MM