### Teaching and Group Activities for Understanding

**Day 1 Teaching**

Write on the board 4,351,468. Discuss the commas or spaces used to separate parts. Cover the first four digits. Read the number. Uncover the next three digits and read it. Uncover the final digit and read again. Repeat with other 7-digit numbers. Practise some ‘place value’ calculations, e.g. 2,743,561 – 40,000? Now subtract 500. Subtract 700,000. Subtract 3001. What’s left?

Write on the board ☐,☐☐☐,☐☐☐ > ☐,☐☐☐,☐☐☐. Roll a 0–9 dice and ask children where to place the digit. Explain that they are to try to make the first number greater than the second number. Repeat until all the spaces are filled.**Group Activities**

Use the ‘Sometimes we lose things’ in-depth problem-solving investigation from NRICH as today’s group activity.

Or, use these activities:

- Use dice rolls to construct and subtract from 7-digit numbers.

- Order 7-digit numbers with consecutive digits.

**Day 2 Teaching**

Use the IWB calculator’s constant function to repeatedly add then subtract 1, 10, 100, 1000, 10,000, 100,000 and 1,000,000 to/from 5,555,555. Take care when crossing boundaries of powers of ten.

Group Activities

- Use dice rolls to add/subtract 1, 10, 100, 1000, 10,000, 100,000 or 1,000,000 from 5,000,000.

- Turn a 7-digit number into 5,555,555 by adding and subtracting multiples of 1, 10, 100, 1000, 10,000, 100,000.

**Day 3 Teaching**

Children mark halfway on a sketched 1,000,000 to 2,000,000 number line. Ask them to mark a number rounding to 1,000,000 and one rounding to 2,000,000.

Repeat for rounding to the nearest 100,000 between 2,500,000 and 2,600,000.

Repeat for rounding to the nearest 10,000 between 2,530,000 and 2,540,000.**Group Activities**

- Mark numbers on a 2,000,000 to 3,000,000 landmarked line and round them.

- Round 7-digit numbers to the nearest 100, 1000, 10,000, 100,000