MDM4U Unit 2:
Counting
2-1 Counting Principles
Learning Goal:
I am able to ...
- use tree diagrams, multiplicative counting principle and indirect methods to determine the number of outcomes.
Lesson:
Watch and take notes from the following videos.
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Note: Ignore the "Homework" assigned at the end of the video.
Summary:
Work:
1) Complete the following textbook questions:
3) Show your work to Mr Fisher.
- Page 229, # 2, 4, 6, 8, 10, 12, 14, 16, 18b, 22, 24
3) Show your work to Mr Fisher.
2-2 Factorial Notation and Permutations
Learning Goal:
I am able to ...
- explain Factorial Notation; and
- apply factorials to simple problems and to applications like permutations.
Lesson:
Watch and take notes from the following videos.
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Note: Ignore the "Homework" assigned at the end of the video.
Summary:
Work:
1) Complete the following textbook questions:
3) Show your work to Mr Fisher.
- Page 239, # 1 - 3, 6, 7, 9 - 14
3) Show your work to Mr Fisher.
2-3 Permutations and Clones
Learning Goal:
I am able to ...
- solve problems that involve arrangements using identical objects.
Lesson:
Watch and take notes from the following video.
Summary:
Work:
1) Complete the following textbook questions:
3) Show your work to Mr Fisher.
- Page 245, # 1 - 7, 10, 11, 16
3) Show your work to Mr Fisher.
2-4 Pascal's Triangle and Applying Pascal's Method
Learning Goal:
I am able to ...
- explain and apply Pascal's Triangle to a variety of real-world applications.
Lesson:
Watch and take notes from the following videos.
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Note: Ignore the "Homework" assigned at the end of the video
Summary:
Work:
1) Complete the following textbook questions:
3) Show your work to Mr Fisher.
- Page 256, # 1 - 7, 9, 10
3) Show your work to Mr Fisher.
2-5 Set Theory
Learning Goal:
I am able to ...
- explain and apply set theory when given a set of data.
Lesson:
Watch and take notes from the following videos.
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Note: Ignore the "Homework" assigned at the end of the video
Summary:
A set is a collection of elements (e.g. Alphabet).
An element is a term identified within a set (e.g. all the letters).
A subset is a group of elements from a larger set (e.g. the vowels).
A union is a set that was created by adding/combining 2 sets or subsets.
An element is a term identified within a set (e.g. all the letters).
A subset is a group of elements from a larger set (e.g. the vowels).
A union is a set that was created by adding/combining 2 sets or subsets.
An intersection is a set that is created by identifying the overlap between sets.
A disjoint set occurs when no elements are common between the sets.
A universal set is the set that contains all possible elements.
A complement is set containing the opposite elements.
A complement is set containing the opposite elements.
The null set is an empty set (contains no elements).
The cardinality of a set is the number of elements in the set.
The cardinality of a set is the number of elements in the set.
Two sets are equivalent if they contain the exact same elements.
Work:
1) Complete the following handout:
3) Show your work to Mr Fisher.
- Set Theory Handout # 1 - 7
3) Show your work to Mr Fisher.
2-6 Venn Diagrams
Learning Goal:
I can ...
- interpret, sketch and use VENN diagrams in real-world situations.
Lesson:
Watch and take notes from the following videos.
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Note: Ignore the "Homework" assigned at the end of the video
Summary:
Work:
1) Complete the following textbook questions:
3) Show your work to Mr Fisher.
4) Complete the following questions:
6) Show your work to Mr Fisher.
- Page 270, # 1 - 8
3) Show your work to Mr Fisher.
4) Complete the following questions:
- Venn Diagrams Handout, all questions
6) Show your work to Mr Fisher.
2-7 Combinations
Learning Goal:
I can ...
- explain and apply combinations to real-world applications.
Lesson:
Watch and take notes from the following videos.
Note: Ignore the "Homework" assigned at the end of the video
Summary:
Work:
1) Complete the following textbook questions:
3) Show your work to Mr Fisher.
- Page 279, # 3 - 9, 11 - 16
- Page 286, # 2, 4, 6, 8, 10, 12
3) Show your work to Mr Fisher.
2-8 Permutations and Combinations
Learning Goal:
I can ...
- identify whether the question is a permutation or combination; and
- apply the appropriate strategy.
Lesson:
Watch and take notes from the following videos.
Note: Ignore the "Homework" assigned at the end of the video
Summary:
Work:
1) Complete the following questions:
3) Show your work to Mr Fisher.
- Permutations and Combinations Handout, all questions
3) Show your work to Mr Fisher.
Unit 2 Review
Complete the following questions in order to prepare for the Unit 2 Test. Remember to check your answers to make sure you understand.
Unit 2 Test
When you are ready for the Unit 2 Test, ask Mr Fisher for it.
You will need a full period to complete the test.
You will need a full period to complete the test.