Fractions General www mathsrevision com Simplifying Fractions of

  • Slides: 62
Download presentation
Fractions General www. mathsrevision. com Simplifying Fractions of a quantity Finding (Simple) Percentages More

Fractions General www. mathsrevision. com Simplifying Fractions of a quantity Finding (Simple) Percentages More Simple Percentages Reminder of Mixed Fractions Add & Subtract Fractions Multiplying Fractions 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com General 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com General 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Fractions www. mathsrevision. com General Learning Intention 1. To understand the term Fraction and

Fractions www. mathsrevision. com General Learning Intention 1. To understand the term Fraction and be able to simplify fraction. Success Criteria 1. To know what the terms fraction. 2. Be able to simply fractions. 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Fractions www. mathsrevision. com General A Fraction consists of 2 parts. 3 5 Top

Fractions www. mathsrevision. com General A Fraction consists of 2 parts. 3 5 Top number is called the numerator Bottom number is called the denominator The denominator tells us the type of fraction we have The numerator tells us the how many we have 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Fractions www. mathsrevision. com General Write down the fraction that is shaded in light

Fractions www. mathsrevision. com General Write down the fraction that is shaded in light blue. 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Fractions www. mathsrevision. com General It is possible to find a fraction equivalent to

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 : x 3 x 2 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Fractions www. mathsrevision. com General We can sometimes simplify a fraction by finding a

Fractions www. mathsrevision. com General We can sometimes simplify a fraction by finding a HCF between the numerator and denominator. Simplify the fractions below : ÷ 2 ÷ 3 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Fractions www. mathsrevision. com General Now try Ex 1 Ch 11(page 126) 27 -Nov-20

Fractions www. mathsrevision. com General Now try Ex 1 Ch 11(page 126) 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com General 6 cm 10 cm 27 -Nov-20 Compiled by

Starter Questions www. mathsrevision. com General 6 cm 10 cm 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Fractions of a quantity www. mathsrevision. com General Learning Intention 1. To explain the

Fractions of a quantity www. mathsrevision. com General Learning Intention 1. To explain the 2 step process of finding a fraction of a quantity. Success Criteria 1. To know the 2 step for finding a fraction of a quantity. 2. Be able to calculate the fraction of a quantity. 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Fractions of a quantity General www. mathsrevision. com Q. Do the calculations below. of

Fractions of a quantity General www. mathsrevision. com Q. Do the calculations below. of 120 Simply divide by the bottom number 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Fractions of a quantity General www. mathsrevision. com Q. Do the calculation below. of

Fractions of a quantity General www. mathsrevision. com Q. Do the calculation below. of 24 Simply divide by the bottom number Then multiply the answer by top number Step 1: 27 -Nov-20 Step 2: Compiled by Mr. Lafferty Maths Dept.

Fractions of a quantity General www. mathsrevision. com Q. Do the calculation below. of

Fractions of a quantity General www. mathsrevision. com Q. Do the calculation below. of 360 Simply divide by the bottom number Then multiply the answer by top number Step 1: 27 -Nov-20 Step 2: Compiled by Mr. Lafferty Maths Dept.

Fractions of a quantity www. mathsrevision. com General Now try Ex 2 Ch 11

Fractions of a quantity www. mathsrevision. com General Now try Ex 2 Ch 11 (page 126) 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com General 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com General 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Simple Percentages www. mathsrevision. com General Learning Intention 1. To understand how to calculate

Simple Percentages www. mathsrevision. com General Learning Intention 1. To understand how to calculate simple percentages without a calculator. 27 -Nov-20 Success Criteria 1. Calculate basic simple percentages. 2. Show all working. Compiled by Mr. Lafferty Maths Dept.

Simple Percentages General www. mathsrevision. com Copy down and learn the following basic percentages

Simple Percentages General www. mathsrevision. com Copy down and learn the following basic percentages 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Percentages General www. mathsrevision. com Q. 27 -Nov-20 Find 25% of £ 40 Compiled

Percentages General www. mathsrevision. com Q. 27 -Nov-20 Find 25% of £ 40 Compiled by Mr. Lafferty Maths Dept.

Percentages General www. mathsrevision. com Q. 27 -Nov-20 Find 5% of £ 300 Compiled

Percentages General www. mathsrevision. com Q. 27 -Nov-20 Find 5% of £ 300 Compiled by Mr. Lafferty Maths Dept.

Percentages www. mathsrevision. com General Now try Ex 3 Ch 11 (page 128) 27

Percentages www. mathsrevision. com General Now try Ex 3 Ch 11 (page 128) 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com General 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com General 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Extended Percentages www. mathsrevision. com General Learning Intention 1. To explain some more basic

Extended Percentages www. mathsrevision. com General Learning Intention 1. To explain some more basic percentages. Success Criteria 1. To know the basic percentages. 2. Calculate basic percentage without a calculator. 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Extended Percentages General www. mathsrevision. com Copy down and learn the following basic percentages

Extended Percentages General www. mathsrevision. com Copy down and learn the following basic percentages 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Extended Percentages General www. mathsrevision. com Q. 27 -Nov-20 Find 30% of £ 40

Extended Percentages General www. mathsrevision. com Q. 27 -Nov-20 Find 30% of £ 40 Compiled by Mr. Lafferty Maths Dept.

Extended Percentages General www. mathsrevision. com Q. 27 -Nov-20 Find 75% of £ 600

Extended Percentages General www. mathsrevision. com Q. 27 -Nov-20 Find 75% of £ 600 Compiled by Mr. Lafferty Maths Dept.

Extended Percentages www. mathsrevision. com General Now try Ex 4 Ch 11 (page 129)

Extended Percentages www. mathsrevision. com General Now try Ex 4 Ch 11 (page 129) 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com General 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com General 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Add / Sub Fractions www. mathsrevision. com General Learning Intention 1. To understand how

Add / Sub Fractions www. mathsrevision. com General Learning Intention 1. To understand how to add and subtract basic fractions. Success Criteria 1. To know that to add and subtract fractions the denominators must be the same. 2. To be able to do simple fraction calculations. 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Fractions www. mathsrevision. com General A Fraction consists of 2 parts. 3 5 Top

Fractions www. mathsrevision. com General A Fraction consists of 2 parts. 3 5 Top number is called the numerator Bottom number is called the denominator The denominator tells us the type of fraction we have The numerator tells us the how many we have 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Fractions www. mathsrevision. com General A fraction, like, where the numerator is bigger than

Fractions www. mathsrevision. com 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 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Top Heavy to Mixed www. mathsrevision. com General means seven thirds 27 -Nov-20 Compiled

Top Heavy to Mixed www. mathsrevision. com General means seven thirds 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Top Heavy to Mixed General www. mathsrevision. com NUMERATOR DENOMINATOR can be written as

Top Heavy to Mixed General www. mathsrevision. com NUMERATOR DENOMINATOR can be written as 7 3 remainder 1 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Top Heavy to Mixed General www. mathsrevision. com NUMERATOR DENOMINATOR can be written as

Top Heavy to Mixed General www. mathsrevision. com NUMERATOR DENOMINATOR can be written as 17 5 remainder 2 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Mixed to Top Heavy www. mathsrevision. com General WHOLE NUMBER DENOMINATOR then add NUMERATOR

Mixed to Top Heavy www. mathsrevision. com General WHOLE NUMBER DENOMINATOR then add NUMERATOR Changing a mixed fraction to a top-heavy. 5 4 3 23 quarters 7 5 37 fifths 2 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Top Heavy to Mixed General www. mathsrevision. com Examples 27 -Nov-20 Compiled by Mr.

Top Heavy to Mixed General www. mathsrevision. com Examples 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Top Heavy to Mixed General www. mathsrevision. com Examples 27 -Nov-20 Compiled by Mr.

Top Heavy to Mixed General www. mathsrevision. com Examples 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Add / Sub Fractions www. mathsrevision. com General You can only add or subtract

Add / Sub Fractions www. mathsrevision. com General You can only add or subtract fractions if: DENOMINATORS ARE THE SAME NUMBER Example 1 27 -Nov-20 Example 2 Compiled by Mr. Lafferty Maths Dept.

Add Fractions www. mathsrevision. com General When dealing with mixed fractions deal with ‘whole’

Add Fractions www. mathsrevision. com General When dealing with mixed fractions deal with ‘whole’ part first then the fraction part 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Subtract Fractions www. mathsrevision. com General When dealing with mixed fractions deal with ‘whole’

Subtract Fractions www. mathsrevision. com General When dealing with mixed fractions deal with ‘whole’ part first then the fraction part 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Mixed Fractions www. mathsrevision. com General Now try Extension Booklet Ex 5 E (page

Mixed Fractions www. mathsrevision. com General Now try Extension Booklet Ex 5 E (page 46) 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com General 5 cm 7 cm 27 -Nov-20 Compiled by

Starter Questions www. mathsrevision. com General 5 cm 7 cm 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com General 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com General 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Harder Fractions www. mathsrevision. com General Learning Intention 1. To understand how to add

Harder Fractions www. mathsrevision. com General Learning Intention 1. To understand how to add and subtract fractions with different denominators. 27 -Nov-20 Success Criteria 1. Apply ‘ rules for adding and subtracting fractions. 2. Simplify fractions. Compiled by Mr. Lafferty Maths Dept.

Before we can add or Harder subtract. Fractions they MUST have the same denominator

Before we can add or Harder subtract. Fractions they MUST have the same denominator www. mathsrevision. com MTH 3 -07 b MTH 3 -07 c MTH 4 -07 b How can we add or subtract fractions that have different denominators 27 -Nov-20 Step 1 : Find the LCM for the denominators Step 2 : Convert to equivalent fractions Step 3 : Add or Subtract the numerator and simplify Compiled by Mr. Lafferty Maths Dept.

LCM of 2 and 4 Harder Fractions 4 MTH 3 -07 b MTH 3

LCM of 2 and 4 Harder Fractions 4 MTH 3 -07 b MTH 3 -07 c MTH 4 -07 b www. mathsrevision. com Step 1 : Find LCM Step 2 : Equivalent Fractions Example 1 Step 3 : 27 -Nov-20 Add/Subtract the numerator and simplify Compiled by Mr. Lafferty Maths Dept. 2+1 4 4 3 4

LCM of 5 and 6 Harder Fractions 30 MTH 3 -07 b MTH 3

LCM of 5 and 6 Harder Fractions 30 MTH 3 -07 b MTH 3 -07 c MTH 4 -07 b www. mathsrevision. com Step 1 : Find LCM Step 2 : Equivalent Fractions Example 1 Step 3 : 27 -Nov-20 Add/Subtract the numerator and simplify 25 30 Compiled by Mr. Lafferty Maths Dept. - 12 30 13 30

LCM of 4 and 6 Harder Fractions 24 MTH 3 -07 b MTH 3

LCM of 4 and 6 Harder Fractions 24 MTH 3 -07 b MTH 3 -07 c MTH 4 -07 b www. mathsrevision. com Step 1 : Find LCM Step 2 : Equivalent Fractions Example 1 Step 3 : 27 -Nov-20 Add/Subtract the numerator and simplify 20 24 + 18 24 38 19 7 = = 1 24 12 12 Compiled by Mr. Lafferty Maths Dept.

Harder Fractions www. mathsrevision. com General How can we add /subtract mixed fractions that

Harder Fractions www. mathsrevision. com 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 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

LCM of 2 and 3 Harder Fractions 6 www. mathsrevision. com MTH 3 -07

LCM of 2 and 3 Harder Fractions 6 www. mathsrevision. com MTH 3 -07 b MTH 3 -07 c MTH 4 -07 b 1 =5+1 6 1 =6 6 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept. 3 6 4 + 6 7 1 =1 6 6

LCM of 8 and 3 Harder Fractions 24 www. mathsrevision. com MTH 3 -07

LCM of 8 and 3 Harder Fractions 24 www. mathsrevision. com MTH 3 -07 b MTH 3 -07 c MTH 4 -07 b 5 =3+ 24 5 =3 24 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept. 21 16 24 24 5 = 24

LCM of 4 and 6 Harder Fractions 12 www. mathsrevision. com MTH 3 -07

LCM of 4 and 6 Harder Fractions 12 www. mathsrevision. com MTH 3 -07 b MTH 3 -07 c MTH 4 -07 b 7 =4+1 12 7 =5 12 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept. 9 10 + 12 12 19 7 =1 12 12

Adding a negative LCM of 4 and 3 is the same as. Most Difficult

Adding a negative LCM of 4 and 3 is the same as. Most Difficult subtracting Fractions MTH 3 -07 b 12 www. mathsrevision. com MTH 3 -07 c MTH 4 -07 b 5 =4+ 12 5 7 =4 =3 12 12 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept. 3 12 - 8 12 5 = 12

Adding a negative LCM of 5 and 3 is the same as. Most Difficult

Adding a negative LCM of 5 and 3 is the same as. Most Difficult subtracting Fractions MTH 3 -07 b 15 www. mathsrevision. com MTH 3 -07 c MTH 4 -07 b 7 =6+ 15 7 8 =6 =5 15 15 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept. 3 15 - 10 15 7 = 15

Multiplying Fractions www. mathsrevision. com General Now try Extension Booklet Ex 6 E (page

Multiplying Fractions www. mathsrevision. com General Now try Extension Booklet Ex 6 E (page 48) 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com General 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com General 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions www. mathsrevision. com General Learning Intention Success Criteria 1. To show to

Multiplying Fractions www. mathsrevision. com General Learning Intention Success Criteria 1. To show to multiply basic fractions. 1. To know the simply rule for multiplying basic fractions. 2. Apply fraction rules correctly. 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions www. mathsrevision. com MTH 3 -07 b MTH 3 -07 c MTH

Multiplying Fractions www. mathsrevision. com MTH 3 -07 b MTH 3 -07 c MTH 4 -07 b Multiply basic fractions 1. Multiply the numerators 2. Multiply the denominators Example 1 27 -Nov-20 Example 2 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions www. mathsrevision. com General Multiplying basic fractions Example 3 27 -Nov-20 Example

Multiplying Fractions www. mathsrevision. com General Multiplying basic fractions Example 3 27 -Nov-20 Example 4 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions MTH 3 -07 b MTH 3 -07 c MTH 4 -07 b

Multiplying Fractions MTH 3 -07 b MTH 3 -07 c MTH 4 -07 b www. mathsrevision. com Multiplying Mixed Fractions 1. Make fractions top-heavy 2. Multiply the numerators 3. Multiply the denominators 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions MTH 3 -07 b MTH 3 -07 c MTH 4 -07 b

Multiplying Fractions MTH 3 -07 b MTH 3 -07 c MTH 4 -07 b www. mathsrevision. com Example 1. Make fractions top-heavy 2. Multiply the numerators 3. Multiply the denominators 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions MTH 3 -07 b MTH 3 -07 c MTH 4 -07 b

Multiplying Fractions MTH 3 -07 b MTH 3 -07 c MTH 4 -07 b www. mathsrevision. com Example 1. Make fractions top-heavy 2. Multiply the numerators 3. Multiply the denominators 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.

Multiplying Fractions www. mathsrevision. com General Now try Extension Booklet Ex 7 E (page

Multiplying Fractions www. mathsrevision. com General Now try Extension Booklet Ex 7 E (page 50) 27 -Nov-20 Compiled by Mr. Lafferty Maths Dept.