Math 1B
Wk 5: 8/30-9/3
Gibson
Periods 1, 2
Georgia Performance Standards for the week:
MM1D1 Students will determine the number of outcomes related to a given event.
a. Apply the addition and multiplication principles of counting
b. Calculate and use simple permutations and combinations
TUESDAY
MONDAY
MM1D2. Students will use the basic laws of probabilities
d. Use expected value to predict outcomes
Essential Questions: How do you determine the outcomes for a given event? - Combinations
Instruction:
1. Recap Fundamental Principle of Counting and it relationship to permutations (review
GO#3).
2. Grade and discuss homework responses (p.344:1-18) via CPS units.
3. Shift topic to combinations. Go to p.346 and do the Investigating Math Activity on sticky
paper in teams 4. Lead the teams through each step before moving on. Try the Draw
Conclusions as well.
Homework: Take home: p.349 2-16 even.
Essential Questions: How do you determine the outcomes for a given event? - Combinations
Instruction:
1. Quiz on calculating permutations. (I am going to try a verbal 5-question quiz with
responses to CPS to see if the weakness is in the area of reading and/or comprehension.)
2. Briefly discuss quiz results.
3. Go back to team illustrations of permutations from yesterday. Where permutations
consider the members in the group and the members order or positions; combinations
only consider the group members. Combinations do not care about the order of the
members. Therefore, there are always more permutations than combinations.
4. Review GO #4 and combination formula. Use CPS units to calculate combinations on pg.
347. Highlight that you can find the permutations then cross out the duplicate groups to
find the combinations.
5. Do p. 347-48 Guided Practice Examples 1 and 2.
6. If time permits, do p.349: 1-15 odd responses via CPS.
Homework: pg. 350:1-15 all
Essential Questions: How do you determine the outcomes for a given event? When do you
WEDNESDAY
use combinations and when do you use permutations?
Instruction:
1. Discuss Take home: p.350: 1-15 all responses via CPS.
2. If no questions, give 8 question verbal quiz to determine proficiency in calculating simple
permutations and combinations. Allow students to use formula sheet.
3. Pick a random student to explain the difference between permutations and
combinations.
4. Using ELMO and CPS, look at word problems from Math 1 pgs. 342-350. If the problem
speaks to placement or position, then it is a permutation. Combinations define a group;
THURSDAY
permutations define the group and its order. Model how to circle and underline key
words in problem.
Homework: Permutations and Combinations Worksheet (5 problems)
Essential Questions: How do you determine the outcomes for a given event? How do you use
the expected value to determine the outcome of a given event over time?
1. Review take home worksheet.
2. Play “There It Is” challenge game with Package made from CPS questions.
Homework:
Essential Questions: How do you determine the outcomes for a given event? How do you use
FRIDAY
expected value to determine the outcome of a given event over time?
Instruction:
1. Review simple (single event) probability, compound and conditional probability.
2. Review permutations and combinations as the ways to generate all possible
outcomes of events.
3. Discuss a process by which you find outcomes and favorable outcomes before
attempting to find the actual probability value.
4. Introduce expected value and view the “Probability Expected Value” video lesson;
working through the responses with my students.
5. Use Math 1: pgs. 355-356 as guided practice; responses via CPS.
Homework: