Weekly Maths

Converng units of Measure

Words we will use:

Bar method

Number line method Day One

1-6-2020 LI: To use knowledge of place value to convert between kilograms and grams and vice versa.

Steps to Success: • I know that there are 1000g in 1kg • I know there are 1000m in 1km • I know to divide by 1000 to convert from g to kg and m to km • I know to x 1000 to convert from kg to g and km to m

Fluency warm-up:

Watch this clip:

hps://www.bbc.co.uk/bitesize/clips/zbvgkqt

Make up some of your own pairs that make up 1kg.

Answers:

There are lots of possible answers.

Some of them might be:

100g + 900g 0.1kg + 0.9kg 200g + 800g 0.2kg + 0.8kg 300g + 700g 0.3kg + 0.7kg 400g + 600g 0.4kg + 0.6kg 500g + 500g 0.5kg + 0.5kg

Use the signs to help you answer these quesons.

This means there is not enough space on the bar to ﬁt in 930 boxes, so they have doed a middle box to represent all the missing ones.

We need to know how many metres are in 930km, so we have to mulply it by 1000, as there are 1000m in 1km.

Dividing by 1000 means moving each digit three decimal places to the right so the number gets smaller.

How many grams are in one kilogram? (Check back to the previous slide for the answer.) Are you mulplying by 1000 or dividing by 1000?

Lee’s number is not a whole number….How does that eﬀect his strategy?

Your turn now. Have a go at the following quesons,

Remember: 1kg=1000g 1km=1000m

Plenary:

Answers:

Day Two 2-6-2020 LI: To use knowledge of place value to convert between millimetres and metres or cenmetres, and between millilitres and litres.

Steps to Success: • I know that there are 1000mm in 1m • I know there are 10mm in 1cm • I know there are 100cm in 1m • I know there are 1000ml in 1l • I know to divide by 1000 to convert from ml to l and mm to m • I know to x 1000 to convert from l to ml and m to mm Fluency warm-up:

Write down as many diﬀerent units for measuring things as you can think of.

Sort them in old fashioned ones (imperial) and modern ones (metric).

Watch this clip to help you.

hps://www.bbc.co.uk/bitesize/clips/zdqxn39

Answers:

Imperial: Metric: ounce (oz), gram (g) pound (lb), kilogram (kg) stone (st), millilitre (ml) pint (pt), litre (l) gallon, millimetre (mm) inch (in), cenmetre (cm) foot ( ), metre (m) yard (yd) kilometre (km)

You may have found other ones too, but these are the ones we will be using. Remember that there are 1000mm in every m.

You will need to esmate the amount between the lines. Converng m to mm, means you have to x1000.

Converng litres to ml means you will have to divide by 1000. There are 10mm to each cm.

Using either a place value grid or a bar will help you to convert from one unit to the other.

There are 1000ml in each litre. Look back at the previous slides to help you answer Q2.

Q3 is linked to our work on fracons. Answers

Your Turn:

Plenary:

Answers:

How did you do?

Day Three

3-6-2020 LI: To use knowledge of metric units of length, mass and capacity to problems that require calculang with diﬀerent units.

Steps to Success: • I know that there are 1000mm in 1m • I know there are 10mm in 1cm • I know there are 100cm in 1m • I know there are 1000ml in 1l • I know that there are 1000g in 1kg • I know there are 1000m in 1km Fluency warm-up:

Match the equivalent units:

1000g I km

1000mm 0.5 l

1000ml 1kg

500g 0.5m

500mm 1l

500ml 0.5 kg Answers:

1000g I km

1000mm 0.5 l

1000ml 1kg

500g 0.5m

500mm 1l

500ml 0.5 kg Lemonade = 0.25l, Orangeade = 500ml

What would the missing numbers be on this scale?

Either read the number line or divide by 100.

(Why do you need to divide by 100?)

Remember that 1000ml = 1 kg Answers in grams please! So convert the kg to g to start with.

You will need to convert the 300cm to metres.

Your Turn!

Plenary:

Answers

Day Four

4-6-2020 LI: To convert between all combinaons of mm, cm, m and km and apply these in mul-step problem-solving contexts.

Fluency warm-up:

Spend 10 minutes trying to build up your score on RockStars Timestables.

How many cm are in 1km?

How many 1p are in £1?

If there are 10mm in 1cm, what do you need to mulply the answer to Q1 by to ﬁnd the answer to Q2?

There are lots of x 10, x100 and x1000!

How many cm are in 600mm?

1cm 2cm 3cm 4cm 5cm 6cm 7cm

10 10 10 10 10 10 10 10 mm mm mm mm mm mm mm Mm 1 1 1 1 1 1 1 1 coin coin coin coin coin coin coin coin

Your Turn:

Plenary:

Answers:

Day Five

5-6-2020 LI: To understand imperial units of lengths and use approximaons to convert from imperial to metric units.

Steps to Success: • I know there are 12 inches in 1 foot • I know there are 3 feet in 1 yard • I know 1 inch is about 2.5cm

Fluency warm-up:

Watch this video clip to ﬁnd out the origins of some units of measure.

hps://www.bbc.co.uk/bitesize/clips/zhqmpv4

Measure the length of your foot and compare it with the the length of other people’s feet. What do you noce. Answers:

Everyone has diﬀerent size feet!

That’s why we needed to ﬁnd a system where we could be sure the measurements were always the same.

How many inches are in one foot?

(The plural of foot is feet)

Do you know your 12 x table?

It helps with mulplying inches to ﬁnd the number of feet. How does this bar help you to answer the queson?

12 inches = 1 foot 3 feet = 1 yard

Your Turn

Plenary:

Answers: