Being efficient means finding a way to solve a problem quickly whilst also maintaining accuracy.

Being precise is being exact. In this case, it is when numbers are given as exact values and are not rounded.

Solving calculations efficiently

Maths

Rounding 7-digit numbers to the nearest million

Rounding seven-digit numbers to any power of 10

Explore mental and written strategies to solve problems

Solve problems explaining which strategy is most efficient

In this unit pupils will use their knowledge of the composition of 7-digit numbers to solve problems adding and subtracting numbers whilst crossing the millions boundary They will round  7-digit numbers to the nearest million and nearest hundred thousand and solve addition and subtraction problems. In the future unit pupils round to any number of decimal places and learn about significant figures.

In the prior unit pupils estimated the value and position of numbers, including negative numbers, on unmarked or partially marked number lines and calculated intervals across 0. In this unit pupils will use their knowledge of the composition of seven-digit numbers to solve problems, adding and subtracting numbers whilst crossing the millions boundary.

In this unit pupils will use their knowledge of the composition of seven-digit numbers to round them and to solve problems, adding and subtracting numbers whilst crossing the millions boundary.

Rounding and solving problems with numbers up to 7 digits

Written methods are often most efficient to use to solve problems when the numbers __________.

Mental strategies methods are often most efficient to use to solve problems when the numbers __________.

Look at the table. How much taller is Mount Everest than K2?{{ }} m

Look at the table. What is the combined height of Scafell Pike, Table and Ben Nevis? {{ }} m

Look at the table showing distances to some cities from London. How much further is it to New York than Paris? {{ }} m

Look at the table showing distances to some cities from London. Lucas’ dad flies to New Delhi and his mum flies to Oslo. What is the combined distance that they flew? {{ }} m

Look at this table. What is the average mass of a blue whale?

Using this equation, what else can you determine? 300 + 450 = 750

Complete the missing value: 145,000 = 100,000 + {{ }} + 5,000

Lucas wins 5,000 points in a game. Aisha wins 2,500 points in the same game. How many more points does Lucas win? {{ }} points

Aisha wins 24,506 points in a game and Lucas wins 913 points. How many points do they win in total? {{ }} points

Solving calculations efficiently

Lesson outcome