graphic

Lesson Plans - Grade 8 Math

graphic[ Family Math] 

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

OBJECTIVE: Identify parallel lines and their properties (5-1, Pp176ff) ACTIVITIES: Using one side of one sheet of notebook papers, students are to DRAW(with a ruler) and label a set of parallel lines with a transversal. Identify and label the congruent angles to include INTERIOR, EXTERIOR, and CORRESPONDING angles. Draw and label the symbol for PARALLEL. NOTES: HOMEWORK: Write a paragraph describing parallel lines 

1-4-2000
1. HW Parallel Para.2. Triangle Notes...3. .................
4. .................5. .................6. .................

OBJECTIVE: Classify triangles (5-3, Pp183ff) ACTIVITIES: Using one side of one sheet of notebook papers, students are to DRAW(with a ruler) and label a set of diagrams which show triangles classified by SIDES; then DRAW (with a ruler) and label a set of diagrams which show triangles classified by ANGLES. Draw and label the symbol for perpendicular. NOTES: HOMEWORK: In a paragraph, briefly describe the relationship between right angles and the term perpendicular. Use labeled diagrams to help your explanation. 

1-5-2000
1. HW RightAng Para.2. Quadrilat. Notes.3. .................
4. .................5. .................6. .................

OBJECTIVE:Distribute Progress Report #7; Classify Quadrilaterals. ACTIVITIES: Using one side of one sheet of notebook papers, students are to DRAW(with a ruler) and label a set of diagrams which show Quadrilaterals classified by PARALLEL lines; CONGRUENT sides; and ANGLES; NOTES: HOMEWORK: Page 188 mini-lab

graphic[Space and shape in Geometry] 
1-6-2000
1. ProgReport#7.....2. HW 188 Mini-lab..3. P199-200 1-15....
4. .................5. .................6. .................

OBJECTIVE: Identify congruent figures and similar figures (5-6, Pp197ff) ACTIVITIES: Explain how the following statement is true. "All congruent figures are similar; similar figures are not always congruent." Read 197-199, Do Page 199-200 1-15 NOTES: HOMEWORK: Page 200 20 and 21; Bring a compass! 

1-7-2000
1. HWP200 20&21.....2. P201(5-6B).......3. Problem/Week.....
4. .................5. .................6. .................

OBJECTIVE: Construct a triangle congruent to another triangle (5-6B, P201) ACTIVITIES: Model the activity on the board while students follow; Have students construct a 3cm/4cm/5cm triangle by a) drawing the lines with a ruler; b) using congruent line segments to construct the triangle; c)using the modeled method, construct a congruent triangle. NOTES: HOMEWORK: P209 Even

Problem of the week (check the scoring guide) The problem of the week is due on Friday. Students are to use diagrams, charts, and tables as needed. Explain the process used to solve the problem. Be neat. Last Week's solution...

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?

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

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

H  H H  T T  H T  T
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
H
T		 H
T
H		 H
T
T		 T
H
H		 T
H
T		 T
T
H		 T
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.

H
H
H
H
H 		The questions you need to answer in your solution this week are:
  1. How many equally likely outcomes are there when flipping 10 coins?
  2. 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
  3. What is the most likely outcome for flipping ten coins?
  4. What pattern(s) did you find while exploring this problem?
T
T
T
T
T