### Teaching and Group Activities for Understanding

**Day 1 Teaching**

Two children stand at either end of the room. One holds 4600; the other holds 4700. Quietly support a third child to stand where 4654 might be between these two multiples of 100. Children discuss, in groups, what the number might be. Then they say what two multiples of 10 they would like on the line, then revise guesses. Round 4654 to the nearest 10. What is 4655 rounded to the nearest 10?**Group Activities**

-- Create 4-digit numbers to mark on a number line. Then round to nearest 10.

-- Create 4-digit numbers. Mark the numbers on a section of number line between neighbouring multiples of 10. Circle the nearest 10.

-- Quick-fire rounding to nearest 10.

**Day 2 Teaching**

Two children stand at either end of the room. One holds 5000; the other holds 6000. A third child stands where 5579 belongs. In groups, children guess the number. Children choose two multiples of 100 to ‘zoom in’ on, to replace the end numbers on the line; groups then revise their estimates. Round 5579 to the nearest 100 (5600). Agree a number between 5500 and 5600 which rounds to 5500. Ask a child to hold this number in approximately the right place. Which 100s number would we round 5550 to? (5600)**Group Activities**

-- Create 4-digit numbers to mark on a number line. Then round to nearest 100.

-- Create 4-digit numbers. Mark the numbers on a section of number line between neighbouring multiples of 100. Circle the nearest 100.

-- Quick-fire rounding to nearest 100.

**Day 3 Teaching**

Show children a 0–10,000 line marked in 1000s, with three numbers marked but not labelled. Children work out which of the six numbers written underneath the line each number on the line might be. Reason about positions on the line. Round each marked number to the nearest 1000. Write a number between 3000 and 4000 which rounds down to 3000/ up to 4000.**Group Activities**

Use the in-depth problem-solving investigation ‘The Thousands Game’ from NRICH as today’s group activity.

Or, use these activities:

-- Create 4-digit numbers to mark on a number line. Then round to nearest 1000.

-- Play a game, rounding numbers 0 to 10,000 to the nearest 1000.