- Year 7
Power notation
I can understand and use correct notation for positive integer exponents.
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.
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.
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
Equipment
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.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.
Q2.Complete the calculation: $$\sqrt{144} = $$
Q3.Work out $$\sqrt[3]{1000}$$
Q4.Starting with smallest, put these roots in order of size.
Q5.Find the closest integer to $$\sqrt{30}$$
Q6.Find the closest integer to $$\sqrt[3]{1100}$$
Assessment exit quiz
6 Questions
Q1.Here is $$4^5$$. What does this mean?
Q2.Here is $$2^3$$. What does the number 2 represent?
Q3.Use exponents to simplify: $$2\times2\times2\times2\times2\times2\times2\times2\times2\times2$$
Q4.Match each calculation with how it should be said out loud.
$$5^2\times8^3$$ -Â Five squared multiplied by eight cubed
$$6^2\times11^5$$ -Â Six squared multiplied by eleven to the power of five
$$5^2\times3^8$$ -Â Five squared multiplied by three to the power of eight
$$6^2\times5^{11}$$ -Â Six squared multiplied by five to the power of eleven
$$5^3\times8^3$$ -Â Five cubed multiplied by eight cubed
Q5.Match each calculation written using exponents with its equivalent calculation.
$$2^3\times3^4$$ -Â $$2\times2\times2\times3\times3\times3\times3$$
$$2^4\times3^2$$ -Â $$2\times2\times2\times2\times3\times3$$
$$3^2\times4^4$$ -Â $$3\times3\times4\times4\times4\times4$$
$$3^2\times4^3$$ -Â $$3\times3\times4\times4\times4$$
Q6.Starting with the smallest, put these numbers in ascending order of size.
