Maths Workout Year 4 Fractions Week 2 Deepening

Maths Workout Year 4 – Fractions Week 2 ©Deepening Understanding LTD 2020

Two Order the fractions on the number line. Four One Write a sentence to explain to an alien what a fraction is. 3 Thre e Monday 1 4 4 2 1 0 2 4 ? Five Which representation shows 3 Odd one out? How many different ways can you 1 show the fraction ? 2 2 1 1 2 ©Deepening Understanding LTD 2020

Four One A fraction is a part of a whole. The denominator is the amount of parts the whole has and the numerator is the amount of parts taken. 1 1 3 4 2 4 1 0 Possible answers include: Thre e e Monday Answers Five Two 2 4 1 2 ©Deepening Understanding LTD 2020

= One Two Four Shade the equivalent fraction: How many different equivalent fractions can you see in this array? Alfie believes… Write 3 fractions which are 1 equivalent to 2 “Two thirds of 12 is the same as four sixths of 12. ” Thre e fractions which are equivalent to Tuesday 1 3 Five Use a fraction wall to write the Is Alfie correct? Explain your reasoning! ©Deepening Understanding LTD 2020

Four Any fraction where the numerator is half the denominator. 2 3 4 5 4 6 8 10 1 3 = 2 6 = 3 9 = 4 12 Tuesday Answers = 1 4 = 2 4 2 8 = 4 8 3 4 = 6 8 D – Alfie is correct. A –Two thirds of 12 is 8 and four sixths is 8 too. B– Five Thre e Two One = 1 2 ©Deepening Understanding LTD 2020

Four One Use the model to find equivalent fractions. Caleb says… 8 = 12 ? = ? 32 4 = ? Use the model to write the equivalent fractions: 1 Thre e 3 = 3 3 Wednesday “I have 8 of the sweets and Ranjit has of them. I have more sweets than Ranjit because 4 is larger than 3. ” ? ? 2 ? 3 ? = ? ? Five Two Complete the sequence. 6 Explain the relationship between the numerators and denominators in equivalent fractions. 3 6 Is Caleb correct? Prove it! ©Deepening Understanding LTD 2020

= Two 6 8 4 10 = 2 5 10 10 = 5 5 3 5 8 10 = 4 5 5 10 = 1 2 = 12 16 = 24 32 1 Thre e 3 = = 3 3 Four 6 10 = 1 5 In equivalent fractions, whatever happens to the numerator needs to happen to the denominator. 48 D - Caleb is incorrect. 64 A– 2 2 6 3 6 = 6 Wednesday Answers = 4 6 Five One 2 10 4 8 and 3 6 are equivalent fractions of a half so Caleb and Ranjit both have the same amount of sweets. B 3 4 6 8 ©Deepening Understanding LTD 2020

Complete the partwhole model to show the fractions greater than one. Four One 3 How many different ways can you partition this fraction? Asha says… Two 12 9 4 7 6 + Thursday 4 6 = ? ? ? Five 5 Thre e Jane ran 1 5 km and 8 Marlon ran 5 km. Draw a model to help you work out the total run. is smaller than 4 2 Is Asha correct? Explain your reasoning! ©Deepening Understanding LTD 2020

Four One 1 Two + 4 2 4 + + 11 3 4 10 4 4 + + 9 5 4 8 4 6 4 4 + + 7 = D - Asha is correct. 4 16 A- 4 9 7 is smaller than 4 2 B 6 + 4 6 = 1 3 6 Thursday Answers Five Thre e 5 ©Deepening Understanding LTD 2020

4 5 5 5 3 1 1 5 Complete the number line: Two 4 ? ? ? 4 4 ? ? ? 14 1 1 14 Write the fraction that can come next in the sequence in two ways. Four One Write the next 3 numbers in the sequence… 14 5 Friday , 25 , ? ? ? , 3 1 5 , 12 5 ? Five Thre e 2 3 7 5 7 , 7 7 , 9 7 , ? ? Odd one out… Write the missing numbers in the sequence: 2 3 2 2 5 1 7 5 3 3 5 ©Deepening Understanding LTD 2020

5 3 1 5 5 3 4 5 6 7 8 4 4 4 14 2 3 5 25 2 4 5 Thre e 2 2 3 14 1 1 Friday Answers 14 3 11 4 Four 1 3 12 5 1 5 7 ? Five 2 Two One 1 2 2 5 1 4 7 1 7 5 3 3 5 ©Deepening Understanding LTD 2020