Module 1 Counting and understanding number
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Can I order two-digit and three-digit numbers and position these on a number line?

Example review questions

  • Where should these numbers be placed on this number line? 350, 699, 425, 862. Explain how you decided.
    A number line starting at zero and ending at 1000 with incremental markers every 100.
  • Can you mark on this number line the number that is 20 more than 56?
    A number line starting at zero and ending at 100 with incremental markers every 10.
  • Can you put numbers in each box so that all the numbers are in order?
    Seven boxes in a row. The first box contains the number 61. The second is empty. The third contains 200. The fourth is empty. The fifth contains 205. The sixth is empty. The seventh contains 413.
 

Teaching guidance

This teaching guidance document suggests some of the key vocabulary, models, images and practical equipment that children should experience and be able to use. It also includes some teaching tips to provide a few starting points for ways of supporting children with this area of mathematics.

DOC file Can I order two-digit and three-digit numbers and position these on a number line? - teaching guidance | 118KB new window

Consolidation and practice

These resources are to support children in guided or independent work. Roll over the highlighted resources for a description.

PDF file How to use ordering numbers ITP | 132KB new window

SWF file Ordering numbers ITP | 53KB new window

PDF file How to use decimal number line ITP | 128KB new window

SWF file Decimal number line ITP | 37KB new window

PDF file How to use measuring cylinder ITP | 128KB new window

SWF file Measuring cylinder ITP | 850KB new window

XLS file Midpoint | 37KB new window

DOC file Midpoint guide | 87KB new window

PDF file Springboard 3, Unit 1 Place value and ordering of numbers to 100 | 180KB new window

Ordering numbers

itp_ordering_numbers.png

This interactive teaching program (ITP) is an ICT-based tool that contains an animation to support the teaching of ordering numbers. Ordering numbers ITP can also be used to help children develop estimation skills and strategies for checking calculations.

Decimal number line

itp_decimal_number_line.png

This interactive teaching program (ITP) is an ICT-based tool to support the exploration of place value within whole and decimal numbers. Decimal number line ITP allows the child or teacher to select an interval from a given number line and show that interval divided into ten equal parts but on a bigger scale, which can then be repeated.

Measuring cylinder

itp_measuring_cylinder.png

This interactive teaching program (ITP) is an ICT-based tool to support the exploration of number, measures and problem solving. Measuring cylinder ITP allows the child or teacher to simulate varying intervals on a scale, pouring liquid into the cylinder and interpreting the scale. The ITP can be used to explore and consolidate the interpretation and reading of scales, mental calculation strategies and methods of recording.

PDF file Springboard 4, Unit 1 Place value and ordering (numbers to 1000) | 170KB new window

PDF file Models and images for ordering numbers to 100 | 111KB new window

Opportunities to use and apply

Possible contexts include:

  • rounding numbers: Place 368 on this number line. What is 368, rounded to the nearest 100? Explain how you know.
    A number line starting at zero and ending at 1000, going up in increments of 100.
  • calculation, e.g. Find the difference between 37 and 55.
    An unscaled number line showing the difference between 37 and 55. The numbers along the line are 37, 40, 50 and 55. The counting stages are 3, between 37 and 40, 10, between 40 and 50, and 5, between 50 and 55.
  • reading scales, e.g. Show where 115 grams would be marked on this scale.
    Weighing scale. Starting at zero grammes and finishing at 200 grammes going up in increments of 50.

Confirming learning

Ask probing questions such as:

  • When ordering a set of numbers, what do you look at first?
  • Which of these numbers would be placed between the two arrows? 330, 382, 403, 322, 345, 358
    A number line starting at 300 and ending at 400. There are five incremental markings between 300 and 400 and two arrows pointing at the second and third incremental markings.
  • What number lies halfway along this line? How do you know?
    A number line starting at 20 and finishing at 50 with one marking halfway between the two numbers, which has an arrow pointing to it.
  • Write down five numbers that lie between 750 and 850. Which of your numbers is closest to 750? 800? 850?