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Understanding Decimal Numbers Through Number Lines - Year 4 Lesson

Explore decimal numbers using number lines in this interactive Year 4 lesson based on the National Numeracy Strategy. Practice locating tenths and hundredths, zoom in on intervals, and understand fractions. Enhance mental math skills through engaging tasks and challenges.

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Understanding Decimal Numbers Through Number Lines - Year 4 Lesson

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  1. A mental model of decimal numbers by working with number lines. Dr Fog Presents Year 4 (National Numeracy Strategy) (Based on DFEE Sample Lessons) www.DrFog.co.uk

  2. Resources • None!

  3. Mental Learning Objective • I can represent numbers with up to two decimal places using number lines.

  4. Mental Learning Task • Today’s lesson is about drawing number lines that show the decimal numbers ‘hidden between’ whole numbers.

  5. 0 10 Mental Learning Task • Look at the line. What number is the arrow pointing at?

  6. 0 10 Mental Learning Task • What number goes here?

  7. 0 10 Mental Learning Task • When the bar is in intervals of one, it is impossible to be accurate with parts of a number less than one.

  8. 0 10 Mental Learning Task • I am now going to zoom in one part of the line and magnify it.

  9. 6 7 Mental Learning Task • What does this line show? • It shows the numbers between 6 and 7.

  10. 6 7 Mental Learning Task • What is each interval (the space between to markers) worth?

  11. 6 7 Mental Learning Task • What is the number where the arrow is? • Count along the line with your teacher.

  12. 6 7 Mental Learning Task • Can someone write the decimal numbers that belong to each of the markers?

  13. 6 7 Mental Learning Task • These intervals are worth one tenth or 0.1. • If we zoom in again, and look at the bit between 6 and 6.1, what might the intervals be worth?

  14. 6.00 6.10 Mental Learning Task • Each interval is now worth one hundredth or 0.01. • Call out what number now belongs to each marker.

  15. 6.00 6.10 Mental Learning Task • What is this number in fractions?

  16. 6.00 6.10 Mental Learning Task • What is this number in fractions?

  17. 6.00 6.10 Mental Learning Task • What is this number in fractions?

  18. Mental Learning Objective • I can represent numbers with up to two decimal places using number lines.

  19. Main Learning Objective • I can use decimal notation for tenths and hundredths.

  20. Key idea There are tenths and hundredths numbers between each whole number.

  21. Main Learning Task • Copy the number line on the next screen. • Choose one section to zoom into tenths and write a new number line. • Choose one section of the tenths line to make a decimals line showing hundredths.

  22. 0 1 2 3 4 5 6 7 8 9 10 Main Learning Task

  23. Main Learning Task • Challenge:- Choose a section of the hundredths line to magnify, and construct a decimal line showing thousandths.

  24. Main Learning Objective • I can use decimal notation for tenths and hundredths.

  25. Plenary 15.37 5.96 23.17 124.58 • Ask the pupils to read one of the numbers. • Point to a particular digit and ask for their value.

  26. Plenary 15.37 5.96 23.17 124.58 • Point to the numbers on the board one at a time. • Say together the number that is a tenth more, a tenth less, a hundredth more or a hundredth less.

  27. Plenary • Copy down this list from the board and put these in order.

  28. Review of Key Idea • There are tenths and hundredths numbers between each whole number. • Did you learn this today?

  29. Where Can I Find More Resources Like This? • You can now visit my teaching resource website at http://www.DrFog.co.uk • You can click here to search for more of my teaching resources. • Click here to visit my TES shop!

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