Lesson Plans - Grade 7 Math

1-3-2000
1. .................2. .................3. .................
4. .................5. .................6. .................

OBJECTIVE: Students will explain equivalent fractions. (Review appropriate parts of chapter 4) ACTIVITIES: Review common multiples and common denominators; multiplication by one; Students may work together to generate information for thier PERSONAL explanation of equivalent fractions. NOTES: HOMEWORK: Paragraph on Equivalent Fractions - models/diagrams/etc.

1-4-2000
1. HW Equiv/Frac....2. P167 Various.....3. .................
4. .................5. .................6. .................

OBJECTIVE: Comparing and ordering fractions and decimals (4-10, Pp164ff) ACTIVITIES: Review the steps of a)reduce to simplist form; b) change to equivalent fractions with the same deominator; c) compare AND change both fractions to equivelent dxecimal forms by dividing the NUMERATOR by the DENOMINATOR Do page 167 Various NOTES: HOMEWORK: P581(4-10) 9-16 Show ALL work

1-5-2000
1. HW582(4-10)9-16..2. Pp168-170 even...3. .................
4. .................5. .................6. .................

OBJECTIVE:Distribute Progress Report #7 ; Study Guide and Review(Chapter 4) ACTIVITIES: Do the study Guide and review on pages 168-170, even numbered problems. NOTES: HOMEWORK: Finish the Study Guide and Review.

1-6-2000
1. ProgReport#7.....2. HW168-170 even...3. .................
4. .................5. .................6. .................

OBJECTIVE: Review the Study Guide and Review on 168-170 (Step by Step) ACTIVITIES: Model/review problems on the study guide and review. NOTES: HOMEWORK: Page 168 #7

1-7-2000
1. HW P168 #7.......2. .................3. .................
4. .................5. .................6. .................

OBJECTIVE: Change mixed numbers to improper fractions and vice versa(5-1, Pp175ff) ACTIVITIES: Read/do pages 174-177 various NOTES: HOMEWORK: P177 54, 58, 59, 60

Flipping Over Pennies

This problem is a learning experiment. Follow the process and look for patterns along the way.

Start with one penny. Flip it. What did you get?

Head

Chances are that the coin landed either heads side up or tails side up. These two events are equally likely.

Tail

Flip two pennies at the same time. What happened? The possible results are listed in the chart below.

HH	HT	TH	TT

Are all of these events equally likely? Yes they are. However, there are two different ways that we can get one head and one tail. So the probabilities would be:

• 1/4 for two heads,
• 2/4 or 1/2 for one head and one tail,
• 1/4 for two tails.

This information would tell us that in flipping two coins it is more likely that we are going to get one head and one tail.

Now on to three pennies. Here are the eight equally likely outcomes.

H H H

H H T

H T H

H T T

T H H

T H T

T T H

T T T

Use this information to find the probability for getting:

• three heads,
• two heads and one tail,
• one head and two tails,
• three tails.

What is the most likely outcome for flipping three coins?

Now on to four pennies. How many equally likely outcomes are there? What is the probability of getting:

• four heads,
• three heads and one tail,
• two heads and two tail,
• one head and three tails,
• four tails.

What is the most likely outcome for flipping four coins?

Keep making lists and looking for patterns. Try to make some generalizations as you work and see if the pattern continues.

The questions you need to answer in your solution this week are: How many equally likely outcomes are there when flipping 10 coins? What is the probability of getting: 10 heads 9 heads and 1 tail 8 heads and 2 tails 7 heads and 3 tails 6 heads and 4 tails 5 heads and 5 tails 4 heads and 6 tails 3 heads and 7 tails 2 heads and 8 tails 1 head and 9 tails 10 tails What is the most likely outcome for flipping ten coins? What pattern(s) did you find while exploring this problem?