Fractions (including decimals)
Counting Up and Down in Tenths Recognise that tenths arise from dividing one-digit numbers by 10 0 1 Can you label this number line accurately? Note the starting number, the ending number and how many parts in-between!
Counting Up and Down in Tenths Recognise that tenths arise from dividing one-digit numbers by 10 1 2 3 4 5 6 7 8 9 0 1 10 10 10 10 10 10 10 10 10 How did you do?
Counting Up and Down in Tenths Recognise that tenths arise from dividing one-digit numbers by 10 Work out the missing fractions. 2 3 5 6 9 0 1 10 10 10 10 10 Which fractions are missing from this number line?
Counting Up and Down in Tenths Recognise that tenths arise from dividing one-digit numbers by 10 Work out the missing fractions. 2 3 5 6 9 0 1 10 10 10 10 10 Did you get them all correct?
Counting Up and Down in Tenths Recognise that tenths arise from dividing one-digit numbers by 10 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 We have looked at the number line written in fractions but it can also be represented with decimals!
Counting Up and Down in Tenths Recognise that tenths arise from dividing one-digit numbers by 10 Fill in the missing parts of the number line. 0 0.1 0.4 0.6 0.7 0.8 1 Can you fill in the missing decimals? Can you remember how they would be written as fractions too?
Counting Up and Down in Tenths Recognise that tenths arise from dividing an object into 10 equal parts What fraction of each shape is shaded/unshaded? Shaded: Shaded: Shaded: Unshaded: Unshaded: Unshaded:
Counting Up and Down in Tenths Recognise that tenths arise from dividing an object into 10 equal parts What fraction of each shape is shaded/unshaded? 3 6 9 Shaded: Shaded: Shaded: 10 10 10 7 4 1 Unshaded: Unshaded: Unshaded: 10 10 10
Dividing into Equal Parts Recognise that tenths arise from dividing an object into 10 equal parts 0cm 20cm 60cm 90cm 100cm This is a 100cm long (1 metre) piece of wood. It has been divided into tenths. Fill in the missing measurements.
Dividing into Equal Parts Recognise that tenths arise from dividing an object into 10 equal parts 0cm 10cm 20cm 30cm 40cm 50cm 60cm 70cm 80cm 90cm 100cm Great job!
Dividing into Equal Parts Recognise that tenths arise from dividing an object into 10 equal parts Reasoning Challenge Jayden divided this bar of chocolate into tenths. Explain what he has done wrong.
Dividing into Equal Parts Recognise that tenths arise from dividing an object into 10 equal parts Reasoning Challenge Jayden divided this bar of chocolate into tenths. Explain what he has done wrong. How could he have made sure each piece was the same size?
What is a fraction?
What is a fraction? For example: 8 The numerator shows how many parts you There would be 10 need/are shaded! equal parts/groups 10 altogether but only 8 of them The denominator shows how many parts would be shaded. there are!
Tenths Recognise that tenths arise from dividing quantities by 10 How many tenths are circled here?
Tenths Recognise that tenths arise from dividing quantities by 10 3 Yes, three tenths 10 are circled.
Tenths Recognise that tenths arise from dividing quantities by 10 How many tenths are circled here?
Tenths Recognise that tenths arise from dividing quantities by 10 5 Yes, five tenths 10 are circled.
Tenths Recognise that tenths arise from dividing quantities by 10 Reasoning Challenge 5 Isla was asked to circle of the apples. Here is her answer. Explain 10 what she has done incorrectly.
Tenths Recognise that tenths arise from dividing quantities by 10 Reasoning Challenge 5 Isla was asked to circle of the apples. Here is her answer. Explain 10 what she has done incorrectly. Answer: Isla should have circled 5 of the apples. 5 out of 10 is .
Unit Fractions Recognise and write fractions of a discrete set of objects: unit fractions. On the next slide, match the shaded objects to the correct unit fractions in the circles.
1 1 1 1 1 1 4 5 6 7 9 8
1 1 1 1 1 1 4 5 6 7 8 9 Next, workout the missing unit fractions.
Non-Unit Fractions Recognise and write fractions of a discrete set of objects: non-unit fractions with small denominators. On the next slide, Match the objects which are shaded to the correct fractions in the circles.
3 2 4 5 2 4 3 5 9 6
3 2 4 5 2 4 3 5 9 6 Only move on if you are confident with what we have looked at so far!
Finding Fractions Find these fractions of objects. Think about how many parts/groups there are and how many you need shaded… 1 1 1 of 8 pens = of 6 bananas = of 8 bags = 2 3 4
Finding Fractions 1 1 1 4 2 2 of 8 pens = of 6 bananas = of 8 bags = 2 3 4
Finding Fractions Find these fractions of objects. Think about how many parts/groups there are and how many you need shaded… 2 3 2 of 9 sweets = of 8 rulers = of footballs = 3 4 4
Finding Fractions 2 3 2 6 6 2 of 9 sweets = of 8 rulers = of footballs = 3 4 4
Equivalent Fractions Use the fraction wall to help you find equivalent fractions. Remember that whatever you do to the numerator, you MUST do to the denominator! 3 = 6 2 = 3 5 = 5 2 = 4 1 = 3
Equivalent Fractions Here are some answers you may have had but there are many more! 3 2 1 = or 6 4 2 2 4 = 3 6 5 1 = 5 2 3 1 = or 4 6 2 1 2 = 3 6
Equivalent Fractions Recognise and show, using diagrams, equivalent fractions with small denominators. Complete the fractions and shade in the correct fraction of the shapes. 1 4 2 8 = 1 = 2 4
Equivalent Fractions Recognise and show, using diagrams, equivalent fractions with small denominators. Complete the fractions and shade in the correct fraction of the shapes. 1 4 2 8 = 1 2 = 2 4
Equivalent Fractions Recognise and show, using diagrams, equivalent fractions with small denominators. Complete the fractions and shade in the correct fraction of the shapes. 2 = 8 1 = 3
Equivalent Fractions Recognise and show, using diagrams, equivalent fractions with small denominators. Complete the fractions and shade in the correct fraction of the shapes. 2 1 = 8 4 1 2 = 3 6
Add and Subtract Fractions Add and subtract fractions with the same denominator within one whole. 3 6 + 2 4 9 + 4 16 + 6 7 6 = 9 = 16 = 8 _ 3 12 _ 6 14 _ 5 5 7 9 8 = 12 = 14 = When the denominators are the same, we only add or subtract the numerators (look at the operation to know what to do). The first one has been done for you…
Add and Subtract Fractions Add and subtract fractions with the same denominator within one whole. 2 + 2 1 6 = 5 9 + 4 4 9 = 8 16 + 6 7 16 = 13 6 9 16 8 _ 3 12 _ 6 14 _ 5 5 8 = 2 7 12 = 1 9 14 = 4 8 12 14 If the denominators were different, you need to find a common denominator first BEFORE trying to work out the equation. If you are confident, keep moving through the slides…
Compare and Order Fractions Compare and order unit fractions, and fractions with the same denominators. Order from largest to smallest : 1 1 1 1 1 1 6 3 2 8 4 Order from smallest to largest : 4 2 6 3 7 5 1 8 8 8 8 8 8 8
Compare and Order Fractions Compare and order unit fractions, and fractions with the same denominators. Order from largest to smallest : 1 1 1 1 1 1 6 3 2 8 4 1 1 1 1 1 1 2 3 4 6 8 Which one When in was easier doubt, find a Order from smallest to largest : to compare? common 4 2 6 3 7 5 1 Why? denominator 8 8 8 8 8 8 8 1 2 3 4 5 6 7 8 8 8 8 8 8 8
Solve Fraction Problems Time to practise what you have learnt… 1. What comes next…..four tenths, 2. Which fraction should come 8 five tenths? between and 1? 10 3. The piece of wood is 1m long. I 4. There are 28 grapes. I ate ¼ of cut a piece that was 70cm long. them. How many are left? How many tenths are left?
Solve Fraction Problems 1. What comes next…..four tenths, 2. Which fraction should come 8 five tenths? between and 1? 10 9 six tenths. 10 3. The piece of wood is 1m long. I 4. There are 28 grapes. I ate ¼ of cut a piece that was 70cm long. them. How many are left? How many tenths are left? ¼ of 28 = 7 grapes already 3 eaten therefore 28 – 7 = 10 21 grapes left.
Solve Fraction Problems 5. Tyler can use half of the 50m 6. Parminder’s mum said she track for sprinting practise, how could choose her pocket money 1 much of the track is allowed this week. The choice was of 3 to use? £1.50 or ¾ of £4.00. Which should she choose? 2 1 7. Which is better of £3.00 8. Jakob drank of the milkshake. 3 6 4 1 or of £3.00? Nina drank of the milkshake. 6 3 Who drank more?
Recommend
More recommend
