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Compiled by Mr. Lafferty Maths Dept. Fractions General Simplifying Fractions Fractions of a quantity Finding (Simple) Percentages More Simple Percentages Reminder of Mixed Fractions www.mathsrevision.com Add & Subtract Fractions Multiplying Fractions 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions General www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Fractions General Learning Intention Success Criteria To understand the term Fraction and be able to simplify fraction. To know what the terms fraction. Be able to simply fractions. www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Fractions General A Fraction consists of 2 parts. Top number is called the numerator 3 5 Bottom number is called the denominator www.mathsrevision.com The denominator tells us the type of fraction we have The numerator tells us the how many we have 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Fractions General Write down the fraction that is shaded in light blue. www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Fractions www.mathsrevision.com General 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 : x2 www.mathsrevision.com x3 x2 x3 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Fractions www.mathsrevision.com General We can sometimes simplify a fraction by finding a HCF between the numerator and denominator. Simplify the fractions below : ÷3 www.mathsrevision.com ÷2 ÷3 ÷2 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Fractions General Now try Ex 1 Ch11(page 126) www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions General 6cm 10cm www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Fractions of a quantity General Learning Intention Success Criteria To explain the 2 step process of finding a fraction of a quantity. To know the 2 step for finding a fraction of a quantity. Be able to calculate the fraction of a quantity. www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Fractions of a quantity General Q. Do the calculations below. of 120 of 120 www.mathsrevision.com Simply divide by the bottom number 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Fractions of a quantity General Q. Do the calculation below. of 24 www.mathsrevision.com Simply divide by the bottom number Then multiply the answer by top number Step 1: Step 2: 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Fractions of a quantity General Q. Do the calculation below. of 360 www.mathsrevision.com Simply divide by the bottom number Then multiply the answer by top number Step 1: Step 2: 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Fractions of a quantity General Now try Ex 2 Ch11 (page 126) www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions General www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Simple Percentages General Learning Intention Success Criteria To understand how to calculate simple percentages without a calculator. Calculate basic simple percentages. Show all working. www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Simple Percentages General Copy down and learn the following basic percentages www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages General Q. Find 25% of £40 www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages General Q. Find 5% of £300 www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Percentages General Now try Ex 3 Ch11 (page 128) www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions General www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Extended Percentages General Learning Intention Success Criteria 1. To explain some more basic percentages. To know the basic percentages. Calculate basic percentage without a calculator. www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Extended Percentages General Copy down and learn the following basic percentages www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Extended Percentages General Q. Find 30% of £40 www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Extended Percentages General Q. Find 75% of £600 www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Extended Percentages General Now try Ex 4 Ch11 (page 129) www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions General www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Add / Sub Fractions General Learning Intention Success Criteria To understand how to add and subtract basic fractions. To know that to add and subtract fractions the denominators must be the same. www.mathsrevision.com To be able to do simple fraction calculations. 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Fractions General A Fraction consists of 2 parts. Top number is called the numerator 3 5 Bottom number is called the denominator www.mathsrevision.com The denominator tells us the type of fraction we have The numerator tells us the how many we have 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Fractions A fraction, like, where the numerator is bigger General 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 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Top Heavy to Mixed General means seven thirds 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Top Heavy to Mixed General NUMERATOR  DENOMINATOR can be written as 7  3 remainder 1 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Top Heavy to Mixed General NUMERATOR  DENOMINATOR can be written as 17  5 remainder 2 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Mixed to Top Heavy WHOLE NUMBER  DENOMINATOR then add NUMERATOR General WHOLE NUMBER  DENOMINATOR then add NUMERATOR Changing a mixed fraction to a top-heavy. 5  4  3  23 quarters 7  5  2  37 fifths 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Top Heavy to Mixed General Examples 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Top Heavy to Mixed General Examples 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Add / Sub Fractions General You can only add or subtract fractions if: DENOMINATORS ARE THE SAME NUMBER Example 1 Example 2 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Add Fractions When dealing with mixed fractions General When dealing with mixed fractions deal with ‘whole’ part first then the fraction part 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Subtract Fractions When dealing with mixed fractions General When dealing with mixed fractions deal with ‘whole’ part first then the fraction part 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Mixed Fractions General Now try Extension Booklet Ex 5E (page 46) 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions General 5cm 7cm www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions General www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Harder Fractions General Learning Intention Success Criteria To understand how to add and subtract fractions with different denominators. Apply ‘ rules for adding and subtracting fractions. 2. Simplify fractions. www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Before we can add or subtract they MUST have the same denominator Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b How can we add or subtract fractions that have different denominators Step 1 : Find the LCM for the denominators Step 2 : Convert to equivalent fractions Step 3 : Add or Subtract the numerator and simplify 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. LCM of 2 and 4 4 Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b Example 1 Step 1 : Find LCM Step 2 : Equivalent Fractions Step 3 : Add/Subtract the numerator and simplify 2 1 + 4 4 4 3 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. LCM of 5 and 6 30 Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b Example 1 Step 1 : Find LCM Step 2 : Equivalent Fractions Step 3 : Add/Subtract the numerator and simplify 25 12 - 30 30 13 30 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. LCM of 4 and 6 24 Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b Example 1 Step 1 : Find LCM Step 2 : Equivalent Fractions Step 3 : Add/Subtract the numerator and simplify 20 18 + 24 24 38 24 19 12 7 12 = = 1 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Simple ! Harder Fractions General How can we add /subtract mixed fractions that have different denominators Simple ! When dealing with mixed fractions deal with ‘whole’ part first then the fraction part 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. LCM of 2 and 3 6 Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b 1 6 3 4 + = 5 + 1 6 6 1 6 7 6 1 6 = 6 = 1 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. LCM of 8 and 3 24 Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b 5 24 21 16 - = 3 + 24 24 5 24 5 24 = 3 = 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. LCM of 4 and 6 12 Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b 7 12 9 10 + = 4 + 1 12 12 7 12 19 12 7 12 = 5 = 1 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Most Difficult Fractions Adding a negative is the same as subtracting LCM of 4 and 3 12 Most Difficult Fractions MTH 3-07b MTH 3-07c MTH 4-07b 5 12 - 3 8 - = 4 + 12 12 5 12 - 7 12 5 12 - = 4 = 3 = 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Most Difficult Fractions Adding a negative is the same as subtracting LCM of 5 and 3 15 Most Difficult Fractions MTH 3-07b MTH 3-07c MTH 4-07b 7 15 - 3 10 - = 6 + 15 15 7 15 - 8 15 7 15 - = 6 = 5 = 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions General Now try Extension Booklet Ex 6E (page 48) 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Compiled by Mr. Lafferty Maths Dept. Starter Questions General www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions General Learning Intention Success Criteria 1. To show how to multiply basic fractions. To know the simply rule for multiplying basic fractions. Apply fraction rules correctly. www.mathsrevision.com 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions MTH 3-07b MTH 3-07c MTH 4-07b Multiply basic fractions 1. Multiply the numerators 2. Multiply the denominators Example 1 Example 2 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions General Multiplying basic fractions Example 3 Example 4 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions MTH 3-07b MTH 3-07c MTH 4-07b Multiplying Mixed Fractions Make fractions top-heavy 2. Multiply the numerators 3. Multiply the denominators 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions MTH 3-07b MTH 3-07c MTH 4-07b Example Make fractions top-heavy 2. Multiply the numerators 3. Multiply the denominators 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions MTH 3-07b MTH 3-07c MTH 4-07b Example Make fractions top-heavy 2. Multiply the numerators 3. Multiply the denominators 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions General Now try Extension Booklet Ex 7E (page 50) 5-Apr-17 Compiled by Mr. Lafferty Maths Dept.