With it being assessment week next week, the children will be recapping a variety of objectives that they have learnt throughout the year. They will be focusing on measurements and converting between each one.
Converting between metric and imperial units
Here are some examples of metric and imperial measures of length, mass and capacity:
||mm, cm, m, km
||inch, foot, yard, mile
||mg, g, kg
||ounce (oz), pound (lb), stone
||ml, cl, l
You will be expected to know some common conversions between metric and imperial units. Some of these are shown below, but check with your teacher which ones you need to learn.
- 1 km = 5/8 mile
- 1 m = 39.37 inches
- 1 foot = 30.5 cm
- 1 inch = 2.54 cm
- 1 kg = 2.2 lb
- 1 gallon = 4.5 litres
- 1 litre = 1 3/4 pints
Next week in Maths, we will be recognising the percent symbol (%) and understand that per cent relates to ‘number of parts per hundred’ and write percentages as a fraction with denominator 100, and as a decimal.
Per cent means ‘out of 100′
The sign % stands for ‘per cent’ which means ‘out of 100′.
- 40% means 40 out of 100
- 11% means 11 out of 100
Converting between percentages and decimals
To change a percentage to a decimal, divide by 100.
Change 48% to a decimal: 48 ÷ 100 = 0.48
To change a decimal to a percentage, multiply by 100.
Change 0.67 to a percentage: 0.67 x 100 = 67%
For extra support on this area, check out the bbc website that has a fun video on decimals and percentages for the children to use.
Next week in Maths, the children will be focusing on addition and subtraction using the column method. When writing down sums, separate the numbers into units, tens, hundreds and thousands. List the numbers in a column and always start adding with the units first.
So when adding together 7948 + 1223, you should write it down like this:
Writing it down
If the numbers are too high or too difficult to subtract in your head, write them down in columns. Always start subtracting with the units first.
The first week back after the holidays, we will be looking at place value. We will be rounding numbers up to 1,000,000 to the nearest 10, 100, 1000, 10000 or 100000.
Giving the complete number for something is sometimes unnecessary. For instance, the attendance at a football match might be 23745. But for most people who want to know the attendance figure, an answer of ‘nearly 24000‘, or ‘roughly 23700‘, is fine.
We can round off large numbers like these to the nearest thousand, nearest hundred, nearest ten, nearest whole number, or any other specified number.
Round 23745 to the nearest thousand.
First, look at the digit in the thousands place. It is 3. This means the number lies between 23000 and 24000. Look at the digit to the right of the 3. It is 7. That means 23745 is closer to 24000 than 23000.
Next week the children will be recognizing and using square numbers and cube numbers, as well as knowing the notation for square 2 and cubed 3.
Squaring a number
32 means ’3 squared’, or 3 x 3.
The small 2 is an index number, or power. It tells us how many times we should multiply 3 by itself.
Similarly 72 means ’7 squared’, or 7 x 7.
And 102 means ’10 squared’, or 10 x 10.
So, 12 = 1 x 1 = 1
22 = 2 x 2 = 4
32 = 3 x 3 = 9
42 = 4 x 4 = 16
52 = 5 x 5 = 25
1, 4, 9, 16, 25… are known as square numbers.
Cubing a number
2 x 2 x 2 means ’2 cubed’, and is written as 23.
13 = 1 x 1 x 1 = 1
23 = 2 x 2 x 2 = 8
33 = 3 x 3 x 3 = 27
43 = 4 x 4 x 4 = 64
53 = 5 x 5 x 5 = 125
1, 8, 27, 64, 125… are known as cube numbers.
Next week, we will be solving addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.
The children will be facing problems such as this;
239,990 people travelled by train in July and August.
12,890 more travelled by train in July than in August.
How many in total travelled by train in July and August?
How did you work this out?
From this, the children will break down the steps and figure out what calculation they have to do. In this instance, they will be adding the two sets of numbers to find the total amount of people who travelled on the train. They will have to show their workings out using the correct method.