Cracking Maths

12/06/20

The answers for The Market are below in BLUE!

08/06/20

The Market

Here are some money problems to solve. The answers will be up on Friday morning!

I have highlighted the most important numbers and words. Use these clues and the poster to solve the problems. You will probably need and pencil and paper for these sums. Remember to line up the numbers carefully, especially for sums like: €378 + €86 =

1. On the bread stall, rolls cost 12c each. How much do 5 rolls cost? 12c x 5 = 60c
2. A lettuce costs 45c. How much do 2 lettuces cost? 45c + 45c = 90c
3. Mrs. Brewster spent €14 at the meat stall. How much change did she get from €20? E20 - E14 = E6

1. Tomatoes cost €1.50 per kilogram and brocolli 80c per kilogram. How much more does a kilo of tomatoes cost? 150c - 80c = 70c
2. Apples cost 70c per kilogram and oranges cost 80c per kilogram. How much does one kilo of apples and one kilo of oranges cost altogether? 70c + 80c = 150c or E1.50
3. Bananas costs €1.80 per kilogram. How much does half a kilo cost? half of 180c = 90c
4. Mr. Brown spent €7.30 at the meat stall. How much change did he get from €8? 800c - 730c = 70c

1. A loaf of seeded bread costs 47c and a loaf of brown bread costs 57c. How much more expensive is the brown bread? 57c - 47c = 10c
2. On Saturday, the cheese stall was open all day and made €378. On Sunday, it only opened for 2 hours and made €86. How much money did it make during the whole weekend? E378 + E86 = E464
3. Mr. Smith spent €3.74 on cheese, €2.26 on vegetables and €1.45 on bread. How much did he spend altogether? E3.34 + E2.26 + E1.45 = E7.05

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Here is our problem-solving poster to help. You can make the poster bigger by finding it at the end of this page and clicking on it!

02/06/20

Problem-Solving

The answers for the Viking problems are below in GREEN!

The Vikings

Here are some Viking problems to solve! The answers will be up on Friday morning.

I have highlighted the most important numbers and words. Use these clues and the poster to solve the problems. You will probably need and pencil and paper for these sums. Remember to line up the numbers carefully, especially for sums like: 1066 - 793 =

1. The English alphabet has 26 letters. The Viking alphabet had only 16 letters. How many more letters does the English alphabet have? 26 - 16 = 10 more letters
2. Harold I was Viking king from 1035 until 1040. For how long was he king? 1040 - 1035 = 5 years
3. With a good wind, a Viking long ship could travel 200 km in a day. How far could it travel in half a day? 100km

1. The Vikings came to Ireland in long ships. Each of these was 24 metres long and could carry 60 men. How many men could fit into 2 long ships? 1 ship = 60 men, so 2 ships = 60 + 60 = 120 men
2. How many men could 10 ships carry? 60 men x 10 ships = 600 men
3. A Viking spear was 300cm long and a Viking sword was 80cm long. How much longer was a spear than a sword? 300 - 80 = 220cm longer

1. The Vikings who came to Ireland from 795 to 840 were mainly from the area now known as Norway. For how many years did they travel here? 840 - 795 = 45 years
2. The Vikings starting building towns in 841 such as Dublin, Wexford, Cork and Limerick. The Irish high king Brian Boru did not want the Vikings in Ireland and he fought a big battle with them in Dublin in 1014, called the Battle of Clontarf. How long were the Vikings building towns before this battle started? 1014 - 841 = 173 years of building
3. The Vikings travelled and settled in other countries from 793 to 1066. How many years did they do this for? 1066 - 793 = 273 years

25/05/20

Problem-Solving

The answers are below in blue!

Ms. Lindon/Ms. O'Rourke's group click HERE

You already know that we learn maths because it can be really helpful in real life. For example - using money in the shop, telling the time, measuring the sitting room for new paint, etc.

This week you will solve some problems about teeth. This is real life maths for the tooth fairy (and maybe the dentist!)

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Teeth

Important information before you start:

• Children can have a total of 20 milk/baby teeth.
• Adults can have a total of 32 permanent teeth.

If you cannot see the full 3 columns - you can find the table at the end of this page - it's the 2nd last picture.

If you cannot see the full poster - you can also find it at the end of this page - it's the last picture.

Lots of the questions ask "How many altogether?" If you're not sure what sum to do, find it on the maths poster first.

Lots of questions also ask "How many more?" and "How many less?" If you're not sure what sum to do, again, find it on the maths poster first!

1. How many teeth does Carmen have altogether? 15 + 4 = 19
2. How many more milk teeth does Maisie have than Gita? 11 - 4 = 7
3. How many less teeth does Ahmed have than Charlie? 18 - 14 = 4 if you only count milk teeth, 18 - (14+3) = 1 if you count milk and adult teeth

1. How many more adult teeth than milk teeth does Winston have? 21 - 2 =19
2. How many adult teeth do Sally and Mrs. Tyler have altogether? 28 + 32 =60
3. How many more adult teeth does Sally have than Gita? 28 - 12 = 16
4. An adult has 32 teeth. How many teeth do 2 adults have altogether? 32 + 32 = 64

1. How many teeth do Ahmed and Maisie have altogether? 14 + 3 + 11 + 5 = 33
2. How many more teeth does Winston have altogether than Carmen? Winston has 23 teeth (21 + 2), Carmen has 19 (15 + 4), so 23 - 19 = 4
3. How many teeth do Gita, Winston and Sally have altogether? Gita 4 + 12 = 16 Winston 2 + 21 = 23 Sally 28, so 16 + 23 + 28 = 67

I will put up the answers to the questions here on Friday morning!

18/05/20

Weight and Capacity

This week we are practising measures - weight and capacity.

Weight is a measure of how heavy an object is. The object is always solid - sugar, pencils, books, people, etc. It is measured in kilograms and grams.

Bathroom Scales

Kitchen Scales

Suitcase Scales

Truck Scales

Vet Scales

Capacity is a measure of volume. Capacity measures liquids - water, milk, toothpaste, creams, etc. It is measured in litres and millilitres.

One litre of milk

2 litres of water

30 millilitres of suncream

95 millilitres of toothpaste

You have done lots of practise of kilograms and grams, and litres and millilitres in your Maths Time book during the year. We always ask ourselves "Do we hear the word cent?" The answer for kilograms and litres is, of course, "No". So we know we are dealing with thousands. Remember how we always cross out the 1kg and change it to 1,000g? And how we cross out 1L and change it to 1,000ml? Well done! That is one of the most important pieces of information to know. It will make this week's work much easier!

Activities

Here are some activities to practise Weight and Capacity.

Click on any game title to access it.

Mostly Postie

1. Choose your measure from the list
2. Pop the parcel on the scales
3. Tap in the weight
4. Check!

Reading Scales

There are 6 levels to choose from.

1. Start with level 1
2. Type an answer into each blue box
3. Tap/click the "check" button at the end
4. Try again or go to level 2!

Coconut Ordering

1. In this activity, you can choose Mass (weight) or Capacity
2. Choose any of the levels on the left (these are the ones we've been learning!)
3. Put the coconuts in order
4. Try again or attempt a new level

Capacity Countdown

1. Choose a set of measurements
2. A rocket will appear with a number line on it
3. Look carefully and type in the correct volume
4. If you're correct, the rocket will take off!

11/05/20

Ms. Lindon/Ms. O'Rourke's group, remember to check in HERE

This is a practice week for multiplication and division. There is a range of games and activities below. You do not have to do them all!! Choose your favourites and off you go!

1. Click HERE for an ice-cream sundae tables game.

2. Click HERE to practise mental maths in a hot air balloon!

3. Click HERE to save some penguins with your maths skills.

4. Click HERE to pop some bubbles and practise your doubles.

05/05/20

This week's theme is 3D shapes. We have been noticing them all year in our Maths Time book. Now we will focus on them and make sure you know them.

3D shapes are not flat like 2-D shapes. They are measured in 3 ways: the length, the width and the height. This week we are going to focus on 7 shapes:

• Cube
• Cuboid
• Cylinder
• Cone
• Sphere
• Triangular prism
• Pyramid

We are learning to:

• name, describe and sort the 7 shapes
• explain how many faces, edges and vertices (corners) the shapes have
• decide if the shapes can roll, slide or stack
• identify 3D shapes in real life
• solve problems about 3D shapes

Watch this song to remind you of some of the shapes:

Activity 1:

At the bottom of the page there are pictures of the properties of each shape we are learning this week. (They are the last 7 pictures). This includes what they look like and how many faces, edges and vertices (corners) they have. Look and read carefully and point out the properties in each shape.

Activity 2:

3D shape hunt: Go on a hunt try to find examples of all 7 3D shapes. You could play with someone at home and make it a competition. Or if you're out for some exercise, take photos of the 3D shapes you see along the way. Have fun, make your own rules.

Activity 3:

Find some materials in your house to help you construct 3D shapes. You could use Blu Tac (from your pack) or Play Doh and some toothpicks to construct 3D shapes. Here is a video to show you how:

Activity 5:

Finally an online challenge about cubes. As you know cubes have 6 faces. Imagine a cube made of paper. If you unfolded it, it might look like this:

This flat picture is called the NET of a cube. Click HERE for a cube quiz. Click on a net and decide if it could fold up to make a real cube. You will need to visualize carefully, I even made a few mistakes! On a phone or tablet, you may need to zoom out to see the game properly.

27/04/20

Lines and Angles is this week's topic. We always spend lots of time on the questions in the Maths Time book and I always tell you that it will pay off when we get to the chapter in Cracking Maths. Lines and Angles is one of those chapters - you've seen most of the questions already during the year. Hard work pays off so well done for everything you've done so far!

Lines

Let's get started on the lines. There are three types of lines we must be able to recognise:

• vertical
• horizontal (like the horizon)
• parallel (like the 2 Ls in the middle of the word parallel)

Have a look at this video to remind yourself of the three types of lines:

Now you're ready to find some activities.

Activity 1 Eye Spy

Look around your home and find at least 5 examples of each type of line. Some of the lines might be easier to find than others. You could make it a competition - decide on some rules. Maybe the player who finds the longest (or shortest) of each line gets a point, or the player who finds the most of each line, or the most unusual.

Activity 2 Spot the Lines

Find as many vertical, horizontal and parallel lines as you can. (This picture can be seen more clearly by clicking on it at the bottom of the page)

Activity 3 Drawing

Practise drawing all 3 types of lines. Use a ruler for the straight lines. Try drawing a picture made from a mixture of these lines. You could use a different colour for each type of line.

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Angles

We have come across right angles during the year. We described that they look like a capital letter L or the corner off a square (or rectangle). They are always made with straight lines. This week we will be hunting for some right angles. We also need to be able to figure out if an angle is bigger or smaller than a right angle. Here's a video to remind you that right angles are all around us.

Activity 1 Eye Spy

Look around your home and find some examples of right angles.

Activity 2 Spot the Angles

Find as many right angles as you can. (This picture can be seen more clearly by clicking on it at the bottom of the page)

Activity 3 Drawing

Practise drawing some right angles.

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Click HERE for a quiz about angles. You can practise 10 every day for free.

20/04/20

Quick reminder to Ms. Lindon's group to check her page. Click HERE.

Data is our topic for this week. Data is another word for information. We will collect data (information) and show it in 3 different ways:

• Pictograms
• Block graphs
• Bar charts

You have all learned about data in second class with Ms. Staunton and we have questions about data in our Maths Time book. Now it's time to focus on it for a week.

The first task is about this field of flowers.

If you are looking at this page on a phone, the pictures and charts might not show up properly (my phone cuts off half the picture!) They are all down at the bottom of this page, you can click on them to see them properly. They are the last 4 pictures.

The flowers are scattered everywhere. A pictogram will help us to organise the data. The word pictogram starts with the same letters as picture. So, a pictogram uses pictures to show the data (information).

We could also show this data using a block graph. A block graph uses coloured blocks to show the data instead of pictures. The blocks stack one on top of another.

Another way to show the data about flowers is by using a bar chart. A bar chart is like a block graph, but the blocks have been joined together. Kind of like the pieces in a chocolate bar!

If you want to see any of these charts bigger, they are at the bottom of this page (the last 4 pictures).

Use any of the 3 charts to answer these questions:

1. How many pink flowers are in the field?
2. How many yellow flowers are in the field?
3. How many red flowers are in the field?
4. How many blue flowers are in the field?
5. What is the total number of flowers in the field?
6. What is the total number of red and blue flowers?
7. Which is the most popular colour?
8. Which is the least popular colour?
9. How many more blue flowers are there than red flowers?
10. How many more pink flowers are there than red flowers?

Activities:

Bar Chart Activity : Read the bar chart to answer questions and score points

Pictogram Fishing Activity : Catch the fish to create a pictogram (but watch out for the jellyfish!)

Pictogram Fruit Fall Activity : Catch the falling fruit to create a pictogram. Make up and answer 10 questions about the pictogram you created.

Pictogram Book Activity : Read the pictogram to answer the questions

You could also try creating your own charts

First, decide what data you want to collect. Here are some ideas:

• Choose your favourite fruit: apple, orange, strawberry, kiwi, banana (ask as many family and friends as you can and write down their answers!)
• How many pairs of shoes do you own: mammy? daddy? sister? brother? me? nanny? (choose any 5 people to ask and record their answers)
• How many jumping jack can you do in a minute? choose any 4 or 5 people and get them to do jumping jacks for 1 minute while you count

Once you have collected the data, use it to create a pictogram, a block graph, or a bar chart.

Here is a link to a website where you can Make Your Own Bar Chart.

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30/03/20

This week, maths is all about 2-D shapes. They are called 2-D because they can be measured in 2 ways: the length and the width. We are focusing on 7 shapes, 6 you already know and 1 that we learned this year - the hexagon.

So our 7 shapes are:

• square
• rectangle
• triangle
• hexagon
• circle
• semi-circle
• oval

We want to be able to:

• recognise all 7 of the shapes (in pictures and the world around us)
• draw all 7 shapes
• tessellate the first 4 shapes
• decide if a shape is regular or irregular

Here is a song to get you started!

Activity 1 Eye Spy

Look around your home and find at least 2 examples of each shapes. Some of the shapes will be easier to find than others. You could make it a competition - decide on some rules. Maybe the player who finds the biggest (or smallest) of each shape gets a point, or the player who finds the most of each shape.

Activity 2 Spot the Shapes

Click on first picture at the bottom of the page and count how many of each 2-D shape you can find.

Activity 3 Drawing

Practise drawing all 7 shapes. Use a ruler for the straight lines. Try drawing a picture only using the 7 shapes.

Activity 4 Tessellate

Remember what I always say: "T for tessellate, T for tiles". Can the shape be used to tile a wall or floor leaving no gaps. Here is a fun activity to explore tessellating. Tessellating Activity You can make your own pattern or choose one of the pattern puzzles and match up the shapes.

Activity 5 Regular or Irregular

Triangles and hexagons can be regular or irregular. If a triangle has 3 equal sides, we say it is a regular triangle. If all 3 sides are not equal, we say it is an irregular triangle. The same is true for hexagons. If a hexagon has 6 equal sides, we say it is a regular hexagon. If all 6 sides are not equal, we say it is an irregular hexagon. So all shapes with 6 sides are hexagons, some are regular and some are irregular. Have a look at my regular and irregular shapes and try some of your own.

Finally, I have put the pages from Cracking Maths at the bottom of this page for you to look at. You could write the answers into a copy or just say them out loud. There is a fun puzzler on page 151 and also an art activity on page 153.