Y10 Lesson Content

Powers and Roots:

• Powers show repeated multiplication of the same number.
• For example: 2³ is the same as 2×2×2 = 8
• The index (the little number at the top/ superscript) represents the number of times the multiplication is repeated.
• The base (the big number) is the number that is repeatedly multiplied.
• Powers are written in the form of: base ^index
• if the base is negative and index is an odd number number then the answer will be negative.
• If the base is negative and the index is even then the answer will be positive.
• Roots reverse the effect of powers.
• The most common root is the square root, which 'undoes' squaring.
• For example: √4 = 2 because 2² = 4

For more practice

https://www.mathsisfun.com/worksheets/ws-ops.html?ops=asmb&nops=4&n=10&amin=2&amax=12&seed=3635

Revision - Extra Practice on Number

http://www.bbc.co.uk/schools/gcsebitesize/maths/number/

Maths Games

https://www.mathplayground.com/index_fractions.html

Fractions

A fraction is a whole divided into equal parts, sometimes called a rational number.

The top line of the fraction is called the numerator.

The bottom line of the fraction is called the denominator.

• A proper fraction is a fraction where the numerator is smaller than the denominator.
  • e.g. ³⁄₄ and ¹⁄₅ are proper fractions.
• An improper fraction is a fraction where the numerator is bigger than the denominator.
  • e.g. ⁸⁄₇ and ¹⁵⁄₄ are improper fractions.
• A mixed number is an integer and a fraction written together.
  • e.g. 3¹⁄₂ and 1¹⁄₄ are mixed numbers.
• Equivalent fractions represent the same number. They can be simplified or cancelled down to fractions with equal values.
• e.g. {¹⁄₂, ⁴⁄₈, ⁹⁄₁₈, ²⁷⁄₅₄} are equivalent fractions because they can all be simplified to ¹⁄₂ .

Conversions - Fractions, Decimals, Percentages