Problem Solving Block

Skill Block ReviewDECIMALS

Find the EXACT answer.

*Remember to line up your decimals!

2.31+ 9 + 5.6 + 0.31 + 16 =

Skill Block ReviewMultiplication/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?

Probability

Review

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

Tiles in a Bag

Activity

How can we predict possible outcomes?Activity 1: PairsAs 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.

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.

When you are finished, you need to create a visual representation of your data by creating a bar graph.

0

2

4

6

8

10

12

14

16

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 ClassBegin 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