Starter quiz
- A ____________ is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its __________ is equal to 1
- integer
- reciprocal ✓
- common factor
- proportion
- ratio
-
- What is the additive relationship between the numbers shown?
- add 15 ✓
- subtract 15
- multiply by 4
- divide by 4
-
- Using the function machine, what is the multiplicative relationship between the numbers?
- add 15
- subtract 15
- multiply by 4 ✓
- divide by 4
-
- Match the numbers with their reciprocal.
- 2⇔21 ✓
- 3⇔31 ✓
- 23⇔32 ✓
- -3⇔(−31) ✓
- -2⇔(−21) ✓
- (−25)⇔(−52) ✓
- Which of these operations could connect these two numbers?
- plus 20 ✓
- minus (-20) ✓
- plus (-20)
- multiply by 3 ✓
- divide by $$\frac{1}{3} ✓
-
- Which of these would fit the multiplicative relationship?
- 1 to 5 ✓
- 35 to 1525
- 6 to 30 ✓
- 103 to 23 ✓
- 51 to 1 ✓
-
Exit quiz
- Only using one step, what is the additive relationship for the connection of these numbers?
- add 2
- add (-2) ✓
- add 21
-
- What two steps can be applied here for the connection of these numbers?
- subtract 10 then add 8 ✓
- add (-10) then add 8 ✓
- divide by 6 then multiply by 5 ✓
- add 8 then subtract 10 ✓
- divide by 5 then multiply by 6
-
- Using the function machine, what is the multiplicative relationship between the numbers?
- There is none as it is division not multiplication
- Multiply by 6
- Add 6
- Multiply by 61 ✓
- Subtract 6
-
- What is the single additive step that connects these numbers?
- add 18 ✓
- add (-18)
- add 42
- add (-42)
-
- Using the values in the table, match the following.
- The additive step from A to B⇔4 ✓
- The additive step from B to A⇔(-4) ✓
- The multiplier from A to B⇔23 ✓
- The multiplier from B to A⇔32 ✓
- What is the single multiplier?
- 37 ✓
- 146
- 73
- 2.5
-
Worksheet
Presentation
Video
Lesson Details
Key learning points
- Any value divided by itself is equal to one.
- One is the multiplicative identity.
- There exists a multiplier for any pair of values.
Common misconception
Using additive strategies instead of multiplicative.
Emphasise that proportional relationships maintain a constant multiplier so we are looking for a multiplicative relationship.
Keywords
Reciprocal - Reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1
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