In deze les zitten 23 slides, met interactieve quizzen en tekstslides.
Onderdelen in deze les
Good morning!
Schedule:
Learning goals
Homework
Problem solving question
Revision: Sets and Set notation
Properties of real numbers + homework
Slide 1 - Tekstslide
Learning goals
At the end of this lessons I can:
Name the properties of number sets
round to different degrees of accuracy
Slide 2 - Tekstslide
Any homework questions?
Slide 3 - Woordweb
Problem solving strategies
Slide 4 - Tekstslide
Problem solving strategies
- Take 1
- Easy numbers
- Draw it!
- Working backwards
Slide 5 - Tekstslide
Problem solving question
Slide 6 - Tekstslide
Which strategy did you use?
Slide 7 - Woordweb
Set Theory symbols
Slide 8 - Tekstslide
Universal and complementary set
The complementary set (notation: A' or Ac) of a set A contains all elements that DO NOT belong to A.
The universal set (notation: U) is a set which contains ALL ELEMENTS of a problem.
Example:
If U = { 1, 2, 3, 4, 5} and
A = { 2, 4, 5} then
A' = {1, 3}
Slide 9 - Tekstslide
Sets and set notation
A = { all positive even numbers } , B = {x : x ∈ N, x < 5}, C = {10, 20, 30, 40}
The universal set U = {all Natural numbers} or ℕ
True or false?
1. C ⊂ A
2. Ø ⊆ B
3. 0 ∈ A
4. A' = {all positive odd numbers}
5. B ⊆ A
Slide 10 - Tekstslide
A = { all positive even numbers } , B = {x : x ∈ N, x < 5}, C = {10, 20, 30, 40} The universal set U = {all Natural numbers} or ℕ True or false? 1. C ⊂ A
A
True
B
False
Slide 11 - Quizvraag
A = { all positive even numbers } , B = {x : x ∈ N, x < 5}, C = {10, 20, 30, 40} The universal set U = {all Natural numbers} or ℕ True or false? 2. Ø ⊆ B
A
True
B
False
Slide 12 - Quizvraag
A = { all positive even numbers } , B = {x : x ∈ N, x < 5}, C = {10, 20, 30, 40} The universal set U = {all Natural numbers} or ℕ True or false? 3. 0 ∈ A
A
True
B
False
Slide 13 - Quizvraag
A = { all positive even numbers } , B = {x : x ∈ N, x < 5}, C = {10, 20, 30, 40} The universal set U = {all Natural numbers} or ℕ True or false? 4.A' = {all positive odd numbers}
A
True
B
False
Slide 14 - Quizvraag
A = { all positive even numbers } , B = {x : x ∈ N, x < 5}, C = {10, 20, 30, 40} The universal set U = {all Natural numbers} or ℕ True or false? 5.B ⊆ A
A
True
B
False
Slide 15 - Quizvraag
Sets and set notation
A = { all positive even numbers } , B = {x : x ∈ N, x < 5}, C = {10, 20, 30, 40}
The universal set U = {all Natural numbers} or ℕ
True or false?
1. C ⊂ A
2. Ø ⊆ B
3. 0 ∈ A
4. A' = {all positive odd numbers}
5. B ⊆ A
Slide 16 - Tekstslide
Homework
P. 26: Practice 3(1, 2, 3, 4
Slide 17 - Tekstslide
Properties of real numbers (addition and multiplication)
Please read the information on P. 30 and do Practice 4.
If you want more explanation, open this Lessonup from Toddle > Class files > Unit 1 number systems and number sense And go to Slide 19
Done?
Homework:
P. 26: Practice 3(1, 2, 3, 4)
P. 30: Practice 4
Slide 18 - Tekstslide
Properties of real numbers: Commutative property
The Property: a + b = b + a
a ⋅ b = b ⋅ a
Example: 2 + 3 = 3 + 2
2 ⋅ 3 = 3 ⋅ 2
Is there a different operator that does not have this property?
Slide 19 - Tekstslide
Properties of real numbers: Associative property
The Property: a + (b + c) = (a + b) + c
(a ⋅ b) ⋅ c = a ⋅ (b ⋅ c)
Example: 1 + (2 + 3) = (1 + 2) + 3
1 ⋅ (2 ⋅ 3) = (1 ⋅ 2) ⋅ 3
Is there a different operator that does not have this property?
Slide 20 - Tekstslide
Properties of real numbers: Identity
The Property: a + i = a
a ⋅ i = a
What is the identity for the set of real numbers under addition ?
What is the identity for the set of real numbers under multiplication?
Slide 21 - Tekstslide
Properties of real numbers: Inverse
The Property: a + Inv = i (i = 0)
a ⋅ Inv = i (i = 1)
What is the inverse for the set of real numbers under addition ?
What is the inverse for the set of real numbers under multiplication?