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Year 6: Counting and Understanding Number

Back to Contents (this slide). Previous Slide. Next Slide. Action Button (click when it flashes). Year 6: Counting and Understanding Number. Contents - Please click the Go Button. Number Lines Using Negative Numbers. -30. -10. 0. 10. 20. 30. -20. 40. -20. 0. 10. 20. 30. -10.

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Year 6: Counting and Understanding Number

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  1. Back to Contents (this slide) Previous Slide Next Slide Action Button (click when it flashes) Year 6: Counting and Understanding Number Contents - Please click the Go Button

  2. Number Lines Using Negative Numbers -30 -10 0 10 20 30 -20 40 -20 0 10 20 30 -10 -40 -20 -10 0 10 20 -30

  3. Number Lines Using Negative Numbers 20 10 30 0 10 0 20 -10 0 -10 10 -20 -10 -20 0 -30

  4. Negative Number Square

  5. Number Sequences Next Number Go -35 -30 -25 -20 -15 -10 -5 0 5 Next Number Go 30 24 18 12 6 0 -6 -12 -18 Next Number Go 20 17 14 11 8 5 2 -1 -4 Next Number Go -1.2 -0.9 -0.6 -0.3 0 0.3 0.6 0.9 1.2

  6. Number Sequences Next Number Go 260 210 160 110 60 10 -40 -90 -140 Next Number Go -40 -33 -26 -19 -12 -5 2 9 16 Next Number Go 0.25 0.5 0.75 1 1 .25 1.5 1.75 2 2.25 Next Number Go 1 2 4 8 16 32 64 128 256

  7. Decimal Place ValueClick on the digit to show its value (Click again to hide) 4 2 4 4 2 5 2 8 44 units 0.22/10 0.044/100 0.0044/1000 22 units 0.55/10 0.022/100 0.0088/1000 3 9 7 8 1 0 4 7 33 units 0.99/10 0.077/100 0.0088/1000 1 1 unit 0.00/10 0.044/100 0.0077/1000 5 0 4 8 7 8 3 7 7 55 units 0.00/10 0.044/100 0.0088/1000 77 units 0.88/10 0.033/100 0.0077/1000 707 tens www.visuallessons.com

  8. Counting - Using Number Lines 3 4 0 1 2 6 7 8 9 10 5 7.5 8.5 1.5 2.5 3.5 4.5 5.5 6.5 0.5 Next Number 7 8 1.0 2 3 4 5 6 0 1 2 3 4 5 6 7 8 9 10 1.5 3 4.5 6 7.5 9 Next Number 0 1 2 3 4 5 6 7 8 9 10 0.8 1.6 2.4 3.2 4 4.8 5.6 6.4 7.2 8 9.6 8.8 Next Number www.visuallessons.com

  9. 0 0.7 0.9 0.3 0.4 1 Can you guess where the decimals will appear on the number line? 0.2 0.6 0.5 0.8 0.1

  10. Decimal numbers can become even smaller too! 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0.2 0.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28 0.29 0.3 These decimal numbers are all in-between 0.2 and 0.3

  11. 0 1 2 3 4 5 6 7 8 9 10 Can you estimate where these decimals will appear on the number line? 1.6 2.8 5.55 8.71 9.6

  12. Understanding Decimals Whole Numbers 0 1 2 3 4 5 6 7 8 9 10 Tenths (1 decimal place) 3 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4 Hundredths (2 decimal places) 3.4 3.41 3.42 3.43 3.44 3.45 3.46 3.47 3.48 3.49 3.5

  13. Click on a decimal to place it on the number line 10 0 5 0.6 1.4 2.6 4.5 6.7 8.9 4.5 8.9 1.4 2.6 0.6 6.7 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 1.94 1.13 1.43 1.6 1.75 1.75 1.94 1.43 1.6 1.13

  14. Ordering Decimals To order these decimal numbers we need to make sure the decimal places are lined up. 0 4 2 3 4th 4.23 2nd 0 5 5 0 5.5 5th(smallest) 0 4 0 5 4.05 3rd 0 4 6 0 4.6 1st(largest) 4 0 1 0 40.1 www.visuallessons.com

  15. Ordering Decimals Can you place these decimal numbers in order? Click on the decimal to put in in order. 2 9 0 Largest 2.53 2 5 3 2nd Largest 0.98 2 5 0 2.5 3rd Largest 2.9 2 4 9 4th Largest 2.49 0 9 8 Smallest www.visuallessons.com

  16. Making 1 from 2 Decimal Place NumbersA Demonstration 0.54 + 0.46 www.visuallessons.com

  17. Making 1 from 2 Decimal Place NumbersA Demonstration 0.38 + 0.62 www.visuallessons.com

  18. 1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8 Equivalent Fractions 1/4 1/4 1/4 1/4 1/2 1/2 1/10 2/10 3/10 4/10 5/10 6/10 7/10 8/10 9/10 10/10 1/5 2/5 3/5 4/5 5/5 1/12 2/12 3/12 4/12 5/12 6/12 7/12 8/12 9/12 10/12 11/12 12/12 1/6 2/6 3/6 4/6 5/6 6/6 1/3 2/3 3/3

  19. Fraction Wall 1 1/2 1/2 1/3 1/3 1/3 1/4 1/4 1/4 1/4 1/5 1/5 1/5 1/5 1/5 1/6 1/6 1/6 1/6 1/6 1/6 1/7 1/7 1/7 1/7 1/7 1/7 1/7 1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10

  20. Common DenominatorsClick on the statement to see why the fractions are the same 1/2 is the same as 2/4 2/3 is the same as 4/6 2/5 is the same as 8/20 x2 x4 x2 1 2 2 4 2 8 2 4 3 6 5 20 x2 x2 x4 Both the denominators can be divided by 2. Both the denominators can be divided by 3. Both the denominators can be divided by 5.

  21. Finding Equivalent FractionsClick on a fraction to watch it being placed 1/3 1/2 1/4 3/4 3/12 7/14 2/6 12/16 4/16 2/4 7/21 5/15 15/20 6/8 6/24 5/10 4/12 9/12 3/6 5/20 www.visuallessons.com

  22. Finding Equivalent FractionsClick on a fraction to watch it being placed 2/3 3/5 1/5 5/6 25/30 15/25 9/15 4/20 20/24 3/15 14/21 10/15 15/18 6/10 6/30 8/12 2/10 10/12 12/20 6/9 www.visuallessons.com

  23. Improper FractionsClick on the shapes to reveal the improper fractions This is divided up into quarters. There are 5/4. This is divided up into halves. There are 3/2. This is divided up into sixths. There are 14/6. This is divided up into quarters. There are 6/4. This is divided up into thirds. There are 5/3.

  24. Ordering FractionsClick on the fractions to watch the steps The Fractions To Order Change the Denominator The ‘Ordered’ Fractions 3/5 24/40 11/40 4/10 16/40 3/10 7/20 14/40 7/20 11/40 11/40 4/10 3/10 12/40 3/5

  25. Equivalent Decimals, Fractions & PercentagesClick on a fraction to watch it being placed 25% 0.4 ¾ ½ 2/4 12/30 8/20 75% 0.5 0.75 5/20 0.25 5/10 4/10 15/20 3/12 9/12 50% 40% ¼ www.visuallessons.com

  26. Chloe is having a party. For every person, she needs 2 small cakes, 3 balloons and 10 sweets. Having a Party!

  27. To make a pizza topping for 4 people, you need: • 300g cheese; • 500g Tomatoes • 2 Peppers; • 12 slices of pepperoni Pizza Time

  28. ? 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 ? ? -0.4 0 0.4 0.8 1.2 1.6 2 ? ? 0 0.15 0.3 0.45 0.6 0.75 0.9 ? ? 1.5 3 6 12 24 48 96 192 ? ? Number Patterns. Click the “?” to reveal the missing answers.

  29. Number Patterns 07:25 07:50 08:15 08:40 09:05 Adding 25 minutes each time! What comes next? The triangle rotates 90° each time! July March May December January August Months with 31 days!

  30. What comes next?

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