Starter quiz
- Which word best goes in the gaps? The __________ root of the perfect __________ is the integer that has been multiplied by itself and then itself again to give that perfect __________ number.
- square
- cube ✓
- array
- product
-
- Complete the calculation: ______
- '12' ✓
- Work out
- 1
- 10 ✓
- 100
- 500
-
- Starting with smallest, put these roots in order of size.
- 1⇔
- 2⇔
- 3⇔
- 4⇔
- 5⇔
- 6⇔
- Find the closest integer to
- 4
- 5 ✓
- 6
- 7
-
- Find the closest integer to
- 9
- 10 ✓
- 11
- 12
- 13
-
Exit quiz
- Here is . What does this mean?
-
- ✓
-
- 4 lots of 5
-
- Here is . What does the number 2 represent?
- the base ✓
- the exponent
- the factor
- the multiple
- the power
-
- Use exponents to simplify:
-
- ✓
-
-
-
- Match each calculation with how it should be said out loud.
- ⇔Five squared multiplied by eight cubed ✓
- ⇔Six squared multiplied by eleven to the power of five ✓
- ⇔Five squared multiplied by three to the power of eight ✓
- ⇔Six squared multiplied by five to the power of eleven ✓
- ⇔Five cubed multiplied by eight cubed ✓
- Match each calculation written using exponents with its equivalent calculation.
- ⇔✓
- ⇔✓
- ⇔✓
- ⇔✓
- Starting with the smallest, put these numbers in ascending order of size.
- 1⇔
- 2⇔
- 3⇔
- 4⇔
- 5⇔
- 6⇔
- 7⇔
Worksheet
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Presentation
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Lesson Details
Key learning points
- There is special notation for squares and cubes and each part can be named.
- Repeated multiplication of the same number can be written using integer exponents.
- Numbers written with positive integer exponents can be expressed as products of the base.
- Products that include repeated multiplication of different base numbers may be simplified using exponents.
Common misconception
When different bases are used student multiply the bases. e.g. 2 x 5^2 = 10^2
Calculate and compare the 2, 2 x 5^2 = 50 & 10^2 = 100
Keywords
Base - The base is the number or term that has been multiplied by itself.
Exponent - An integer exponent identifies how many times the base number has been multiplied by itself.
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