Fractions – Adding – Complete Lesson Preview the presentation to check ability-level, AFL questions, and the animations during demonstrations. It is recommended to delete slides/sections not needed for your class.

Starter A task at the beginning of the lesson that reviews a skill required for the learning. Knowledge Check Questions to assess students’ current understanding and to consequently show progress. Real-Life Example A ‘hook’ to raise interest and provide a concrete example. Demonstration Slides for a teacher to lead students – didactically or via questioning – through a mathematical method. AFL Questions Assessment For Learning Questions, used to assess students’ competency for independent tasks/activities. Plenary An opportunity for students to prove/evaluate their learning.

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TRONCIFA FRACTION LUASEQ EQUALS DDA ADD EMRANURTO NUMERATOR ACBTRSUT Starter ACBTRSUT SUBTRACT RNATOENODMI DENOMINATOR

Medium worksheets

Small worksheets

Complete the fraction pyramids. Every block is the sum of the two blocks below it. A) B) 1 5 2 5 2 7 1 7 3 7 C) D) 7 16 12 16 14 16 3 16 5 16 8 10 4 10 3 10 3 10

Answers Complete the fraction pyramids. Every block is the sum of the two blocks below it. A) B) 1 5 2 5 3 5 5 5 = 1 5 7 3 7 2 7 2 7 1 7 1 7 C) D) 1 1 2 5 16 7 16 12 16 14 16 1 5 8 3 16 2 16 8 10 7 10 4 10 4 10 3 10 1 10 3 10 1 10 2 10

27 September 2019 Adding Fractions

KNOWLEDGE CHECK 1 3 + 1 4 = 2 3 + 1 5 = 3 4 + 3 5 =

KNOWLEDGE CHECK 1 3 + 1 4 = 7 12 2 3 + 1 5 = 13 15 3 4 + 3 5 = 27 20 =1 7 20

Josh ate 1 2 of a cheese pizza and 1 4 of a pepperoni pizza. How much of a whole pizza did he eat in total? Check animations 2 4 1 2 1 4 3 4

Sally ate 1 3 of a cheese pizza and 1 6 of a chicken pizza. How much of a whole pizza did she eat in total? Check animations 2 6 1 3 1 6 3 6

Jane ate 1 4 of a mushroom pizza and 1 8 of a chicken pizza. How much of a whole pizza did she eat in total? Check animations 2 8 1 4 1 8 3 8

1 2 2 4 1 4 3 4 + = ? To add fractions, they must have the same denominator (they must be split into the same size pieces) If all the denominators are the same, the calculation is easy!

1 3 2 6 1 6 3 6 = 1 2 + = ? To add fractions, they must have the same denominator (they must be split into the same size pieces) If all the denominators are the same, the calculation is easy!

1 3 5 15 1 5 8 15 3 15 + = ? To add fractions, they must have the same denominator (they must be split into the same size pieces) If all the denominators are the same, the calculation is easy!

Adding Fractions Complete the equivalent fractions for each calculation. Example: 4) Shade 1 2 of the shape. Shade 1 4 of the shape. Write the total as a fraction = 1 4 2 3 = 1 2 2 9 = 1 9 5) 1) 1 5 = 1 2 1 4 = 1 2 = 1 20 1 3 = 1 2 1 2 = 1 2 = 1 6 6) 2) 3 5 = 1 2 1 3 = 1 2 = 14 15 2 3 = 1 2 1 6 = 1 6 7) 3) 1 3 = 1 2 3 7 = 1 2 = 1 21 1 4 = 1 2 1 8 = 1 8

What rule can we write for Adding Fractions Complete the equivalent fractions for each calculation. Example: 4) Shade 1 2 of the shape. Shade 1 4 of the shape. Write the total as a fraction = 1 4 2 3 = 1 2 2 9 = 1 9 5) 1) What rule can we write for adding fractions without drawing boxes? 1 5 = 1 2 1 4 = 1 2 = 1 20 1 3 = 1 2 1 2 = 1 2 = 1 6 6) 2) 3 5 = 1 2 1 3 = 1 2 = 14 15 2 3 = 1 2 1 6 = 1 6 7) 3) 1 3 = 1 2 3 7 = 1 2 = 1 21 1 4 = 1 2 1 8 = 1 8

Adding Fractions Complete the equivalent fractions for each calculation. Answers Example: 4) Shade 1 2 of the shape. Shade 1 4 of the shape. Write the total as a fraction = 3 4 2 3 = 6 9 2 9 = 8 9 5) 1) 1 5 = 4 20 1 4 = 5 20 = 9 20 1 3 = 2 6 1 2 = 3 6 = 5 6 6) 2) 3 5 = 9 15 1 3 = 5 15 = 14 15 2 3 = 4 6 1 6 = 5 6 7) 3) 1 3 = 7 21 3 7 = 9 21 = 16 21 1 4 = 2 8 1 8 = 3 8

We need the denominators to be the same. Which fraction should we change to make the calculation easy? 1 2 1 4 + = Double the denominator Double the numerator 2 4 1 4 3 4 + =

We need the denominators to be the same. Which fraction should we change to make the calculation easy? 1 3 1 6 + = Double the denominator Double the numerator 2 6 1 6 3 6 = 1 2 + =

We need the denominators to be the same. Which fraction should we change to make the calculation easy? 1 5 1 10 + = Double the denominator Double the numerator 2 10 1 10 3 10 + =

We need the denominators to be the same. Which fraction should we change to make the calculation easy? 1 3 1 9 + = Triple the denominator Triple the numerator 3 9 1 9 4 9 + =

We need the denominators to be the same. Which fraction should we change to make the calculation easy? 2 3 1 9 + = Triple the denominator Triple the numerator 6 9 1 9 7 9 + =

We need the denominators to be the same. Which fraction should we change to make the calculation easy? 1 3 5 12 + = Denominator × 4 Numerator × 4 4 12 9 12 9 12 = 3 4 + =

Complete these calculations in your book. Example Complete these calculations in your book. 1) Choose which fraction you need to change 2) Make an equivalent fraction 3) Add the fractions! (Remember to simplify your answer!) 1 2 + 1 4 = 1 3 + 1 6 = 2 3 + 1 6 = 1 3 + 2 9 = 1 4 + 3 12 = 2 9 + 2 3 = 2 5 + 4 15 = 2 3 + 1 4 = 4 5 + 1 6 =

Complete these calculations in your book. Example Complete these calculations in your book. 1) Choose which fraction you need to change 2) Make an equivalent fraction 3) Add the fractions! Answers (Remember to simplify your answer!) 1 2 + 1 4 = 3 4 1 3 + 1 6 = 3 6 = 1 2 2 3 + 1 6 = 5 6 1 3 + 2 9 = 5 9 1 4 + 3 12 = 6 12 = 1 2 2 9 + 2 3 = 8 9 2 5 + 4 15 = 10 15 = 2 3 2 3 + 1 4 = 11 12 4 5 + 1 6 = 29 30

Complete these calculations in your book. Example Complete these calculations in your book. 1) Choose which fraction, or fractions, you need to change 2) Make equivalent fractions 3) Add the fractions! (Remember to simplify your answer!) 2 3 + 2 9 = 3 4 + 1 12 = 1 2 + 3 10 = 1 3 + 1 2 = 2 3 + 1 5 = 3 4 + 4 5 = 5 6 + 1 4 = 5 9 + 5 6 = 2 3 4 +2 4 7 =

Complete these calculations in your book. Example Complete these calculations in your book. 1) Choose which fraction, or fractions, you need to change 2) Make equivalent fractions 3) Add the fractions! Answers (Remember to simplify your answer!) 2 3 + 2 9 = 8 9 3 4 + 1 12 = 10 12 = 5 6 1 2 + 3 10 = 8 10 = 4 5 1 3 + 1 2 = 5 6 2 3 + 1 5 = 13 15 3 4 + 4 5 = 31 20 =1 11 20 5 6 + 1 4 = 13 12 =1 1 12 5 9 + 5 6 = 25 18 =1 7 17 2 3 4 +2 4 7 =5 9 28

1 3 1 2 + = Jo ate 1 2 of a ham pizza and 1 3 of a chicken pizza. How much of a whole pizza did she eat in total? 1 3 1 2 + = To elicit the need to change both denominators. How can we compare these fractions? Can we add them?

We can’t add these fraction because we can’t multiply 2 by anything to get 3. Is Hannah right? 1 3 1 2 + =

1 3 1 2 + = 2 6 3 6 5 6 + = To add fractions they must have a common denominator. We will need to change both fractions. What common denominator could we use? 1 3 1 2 + = Numerator & Denominator × 3 Numerator & Denominator × 2 2 6 3 6 5 6 + =

1 4 1 3 + = 3 12 4 12 7 12 + = To add fractions they must have a common denominator. We will need to change both fractions. What common denominator could we use? 1 4 1 3 + = Numerator & Denominator × 4 Numerator & Denominator × 3 3 12 4 12 7 12 + =

What common denominator could we use? 1 3 1 5 + = Numerator & Denominator × 3 Numerator & Denominator × 5 5 15 3 15 8 15 + =

What common denominator could we use? 1 4 3 5 + = Numerator & Denominator × 4 Numerator & Denominator × 5 5 20 12 20 17 20 + =

What common denominator could we use? 3 5 1 6 + = Numerator & Denominator × 5 Numerator & Denominator × 6 18 30 5 30 22 30 11 15 + = =

What common denominator could we use? 1 6 4 9 + = Numerator & Denominator × 2 Numerator & Denominator × 3 3 18 8 18 11 18 + =

Whiteboards

What common denominator EXAMPLE What common denominator could we use? 1 2 1 3 + = Numerator & Denominator × 2 Numerator & Denominator × 3 3 6 2 6 5 6 + =

What common denominator EXAMPLE What common denominator could we use? 1 3 1 4 + = Numerator & Denominator × 3 Numerator & Denominator × 4 4 12 3 12 7 12 + =

What common denominator EXAMPLE What common denominator could we use? 2 5 1 4 + = Numerator & Denominator × 5 Numerator & Denominator × 4 8 20 5 20 13 30 + =

What common denominator EXAMPLE What common denominator could we use? 1 6 5 9 + = Numerator & Denominator × 2 Numerator & Denominator × 3 3 18 10 18 13 18 + =

What common denominator EXAMPLE What common denominator could we use? 2 7 2 3 + = Numerator & Denominator × 7 Numerator & Denominator × 3 6 21 14 21 20 21 + =

EXAMPLE 1 3 + 1 4 = 2 3 + 1 5 = 2 7 + 3 4 = 1 4 + 1 5 = 4 5 + 1 6 = 3 10 + 3 4 =

? Answers EXAMPLE 1 3 + 1 4 = 7 12 2 3 + 1 5 = 13 15 2 7 + 3 4 = 29 28 1 4 + 1 5 = 9 20 4 5 + 1 6 = 29 30 3 10 + 3 4 = 21 20

Adding Fractions with Different Denominators 1) a) 1 3 + 1 4 = b) 2 5 + 1 4 = 1 6 + 3 5 = 1) a) 1 3 + 1 4 = b) 2 5 + 1 4 = c) c) 1 6 + 3 5 = 4 12 + 3 12 = 7 12 8 20 + 5 20 = 13 20 5 30 + 6 30 = 11 30 4 12 + 3 12 = 7 12 8 20 + 5 20 = 13 20 5 30 + 6 30 = 11 30 d) 1 7 + 2 3 = e) 3 5 + 2 7 = f) 1 10 + 1 8 = d) 1 7 + 2 3 = e) 3 5 + 2 7 = f) 1 10 + 1 8 = 3 21 + 14 21 = 21 35 + 10 35 = 4 40 + 5 40 = 3 21 + 14 21 = 21 35 + 10 35 = 4 40 + 5 40 = 5 9 + 1 6 = 3 10 + 1 6 = 3 8 + 1 12 = 5 9 + 1 6 = 3 10 + 1 6 = 3 8 + 1 12 = 2) a) b) c) 2) a) b) c) 6 21 + 8 14 = 3 10 + 7 15 = 5 8 + 5 9 = 6 21 + 8 14 = 3 10 + 7 15 = 5 8 + 5 9 = d) e) f) d) e) f) 3) John ate 5 7 of a chicken pie and 2 9 of a vegetable pie. Sally says John ate more than a whole pie in total. Is Sally correct? 3) John ate 5 7 of a chicken pie and 2 9 of a vegetable pie. Sally says John ate more than a whole pie in total. Is Sally correct? 2 5 + 1 4 + 3 10 = 5 6 + 5 8 + 2 3 = 2 5 + 1 4 + 3 10 = 5 6 + 5 8 + 2 3 = b) c) b) c)

Adding Fractions with Different Denominators 1) a) 1 3 + 1 4 = b) 2 5 + 1 4 = c) 1 6 + 3 5 = 4 12 + 3 12 = 7 12 8 20 + 5 20 = 13 20 5 30 + 6 30 = 11 30 d) 1 7 + 2 3 = e) 3 5 + 2 7 = f) 1 10 + 1 8 = 3 21 + 14 21 = 21 35 + 10 35 = 4 40 + 5 40 = 5 9 + 1 6 = 3 10 + 1 6 = 3 8 + 1 12 = 2) a) b) c) 6 21 + 8 14 = 3 10 + 7 15 = 5 8 + 5 9 = d) e) f) 3) John ate 5 7 of a chicken pie and 2 9 of a vegetable pie. Sally says John ate more than a whole pie in total. Is Sally correct? 2 5 + 1 4 + 3 10 = 5 6 + 5 8 + 2 3 = b) c)

Answers She is not correct. Adding Fractions with Different Denominators 1) a) 1 3 + 1 4 = b) 2 5 + 1 4 = c) 1 6 + 3 5 = 4 12 + 3 12 = 7 12 8 20 + 5 20 = 13 20 5 30 + 18 30 = 23 30 d) 1 7 + 2 3 = e) 3 5 + 2 7 = f) 1 10 + 1 8 = 3 21 + 14 21 = 17 21 21 35 + 10 35 = 31 35 4 40 + 5 40 = 9 40 5 9 + 1 6 = 13 18 3 10 + 1 6 = 14 30 3 8 + 1 12 = 11 24 2) a) b) c) = 7 15 6 21 + 8 14 = 6 7 3 10 + 7 15 = 23 30 5 8 + 5 9 = 85 72 d) e) f) =1 13 73 She is not correct. 3) John ate 5 7 of a chicken pie and 2 9 of a vegetable pie. Sally says John ate more than a whole pie in total. Is Sally correct? 5 7 + 2 9 = 59 63 2 5 + 1 4 + 3 10 = 19 20 5 6 + 5 8 + 2 3 = 51 24 =2 3 8 b) c)

Extension Josh ate a third of a pie, Sally ate three-quarters of a pie, Jack ate five-sixths of a pie and Mark ate four-ninths of a pie. How many pies did they all eat together?

Extension Answer 1 3 + 3 4 + 5 6 + 4 9 = 85 36 =2 13 36 Josh ate a third of a pie, Sally ate three-quarters of a pie, Jack ate five-sixths of a pie and Mark ate four-ninths of a pie. How many pies did they all eat together? 1 3 + 3 4 + 5 6 + 4 9 = 85 36 =2 13 36 Answer

GCSE Edexcel Foundation: November 2017 Paper 1, Q22 (a) Work out 1 3 + 2 5 1 11 15 1 3 + 2 5 = 5 15 + 6 15 = 11 15 (2) (b) Write down the value of 2-4 1 16 1 24 = 1 16 (1) (Total for Question 1 is 3 marks) Answers

Check your success! I can add fractions with the same denominator. I can add fractions with different denominators. I can add fractions using two equivalent fractions.

Check your success! I can add fractions with the same denominator. I can add fractions with different denominators. I can add fractions using two equivalent fractions.

How to add fractions that have different denominators. Write a text message to a friend describing… How to add fractions that have different denominators.

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