Starter Questions 1.Multiply out the brackets and simplify: a) 4(x + 3) + 2b) 3 + 2( x + 4)c) (3x + 4) 2. Find the highest common factor of: a) 8 and 12b) 16 and 18c) 18x and Factorise the following: a) 10p + 15qb) 8d – 12fc) 4a + 10b +14c

Fractions Learning Intention To understand the term Fraction and be able to simplify fraction.

A Fraction consists of 2 parts. 3 5 Top number is called the numerator Bottom number is called the denominatorFractions The denominator tells us the type of fraction we have The numerator tells us the how many we have

It is possible to find a fraction equivalent to any fraction that you have by multiplying the numerator and the denominator by any number. Find a fraction equivalent to : x3 x3 x2 x2 Fractions

We can sometimes simplify a fraction by finding a HCF between the numerator and denominator. Simplify the fractions below : ÷2 ÷2 ÷ 3 ÷3 Fractions

Fractions of a quantity Learning Intention To explain the 2 step process of finding a fraction of a quantity.

Q. Do the calculations below. Fractions of a quantity of 120 Simply divide by the bottom number

Q. Do the calculation below. Fractions of a quantity of 24 Simply divide by the bottom number Then multiply the answer by top number Step 1:Step 2:

Q. Do the calculation below. Fractions of a quantity of 360 Simply divide by the bottom number Then multiply the answer by top number Step 1:Step 2:

Learning Intention To understand how to calculate simple percentages without a calculator. Simple Percentages

Remember money 2 decimal places Q. Find 17% of £450 Percentages = £76.50 of means times Calculator Keys 1 1 x 4 =

Copy down and learn the following basic percentages Simple Percentages

Q. Find 25% of £40 Percentages

Q. Find 5% of £300 Percentages

Copy down and learn the following basic percentages Extended Percentages

Q. Find 30% of £40 Extended Percentages

Q. Find 75% of £600 Extended Percentages

Learning Intention To understand how to add and subtract basic fractions. Add / Sub Fractions

Fractions A fraction, like, where the numerator is bigger than the denominator is called a ‘Top-Heavy’ fraction. A number,like, consisting of a ‘whole number’ part and a ‘fraction’ part is called a Mixed fraction

Top Heavy to Mixed means seven thirds

NUMERATOR  DENOMINATOR Top Heavy to Mixed can be written as 7  3 remainder 1

NUMERATOR  DENOMINATOR Top Heavy to Mixed can be written as 17  5 remainder 2

Changing a mixed fraction to a top-heavy. WHOLE NUMBER  DENOMINATOR then add NUMERATOR 5  4  3 7  5  2 Mixed to Top Heavy  23 quarters  37 fifths

Top Heavy to Mixed Examples

Top Heavy to Mixed Examples

Subtract Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part

Harder Fractions Learning Intention To understand how to add and subtract fractions with different denominators.

Harder Fractions How can we add /subtract fractions that have different denominators Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify We are going to use the kiss and smile method

2 + Harder Fractions Example 1 Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify 8 4 ÷2

6 - Harder Fractions Example 1 Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify 30 25

18 + Harder Fractions Example 1 Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify ÷2 General

Harder Fractions How can we add /subtract mixed fractions that have different denominators When dealing with mixed fractions deal with ‘whole’ part first then the fraction part Simple !

Harder Fractions

Most Difficult Fractions

Subtracting Fractions

Most Difficult Fractions

Subtract Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part

Multiplying Fractions Learning Intention To show how to multiply basic fractions.

Multiplying Fractions Example 1 Example 2 Multiplying basic fractions 1. Multiply the numerators 2. Multiply the denominators

Multiplying Fractions Example 3 Example 4 Multiplying basic fractions