# What’s new in Maths Matters Resources?

## MATHS GRAPHICS – CREATURES – Koala

Here is Duffy’s latest illustration, a gorgeous koala called Luis – the alpha male in the population at Hawks Nest NSW. Australian animals can be an effective focus for real-life maths activities. Koalas are not actually a bear – they are a marsupial so they raise their babies in a pouch. One joey is born each year and its about  2 cm long. It stays in the mother’s pouch for about 6 months. The adults eat about 500 g of eucalypt leaves each night but they can only absorb about 25% of this food as it is very tough to eat. They sleep for 18 – 20 hours each day so that they can digest all the toxins from the gum leaves. Although there are over 600 types of eucalyptus, koalas can eat only about 50 different types of eucalyptus leaves, including swamp mahogany (eucalyptus robusta). About 80% of koala habitat has disappeared in Australia and the estimate is that there are between 40 000 to 80 000 koalas left. Koalas live for 14-16 years in the wild. Koala fossils have been dated to 20 million years ago. Did you know that koalas also have very similar fingerprints to humans?

## NUMBER & ALGEBRA – FRACTIONS Activities – Comparing Halves 567

Playing around with models of equivalent fractions can help your students visualise equal areas. These models can also be useful for developing proportional reasoning skills. Comparing Halves challenges your students to find different ways to create a half from quarters and also from eighths. In this activity, Lee wants to create a flower garden with equal areas of red and yellow flowers so your students manipulate equivalent fractions while trying to work out a solution. This is a useful way to revise flexible thinking with your Stage 3 students.

## MATHS GRAPHICS – Measurement – November Calendar

Wow – the year is flying past and it is almost November! Here is a cheerful rainbow version calendar to use anywhere from Foundation through to Grades 6 or even 7. What are some key events happening with your class in November? In the school? In your town or city? Your country? Daily calendar questions are a useful way to reinforce days, months and seasons. What was the day and date 4 days before the 1st of November? What will be the day and date 3 days after 30 November? Two weeks after 13 November will be …?

## NUMBER & ALGEBRA – FRACTIONS/DECIMALS – Sliced Bread Mental Warm-up Stage 3

Any of our maths graphics can be used for a Mental Warm-up. This bread graphic is a lovely way to start your Maths Session. So where’s the maths in a loaf of bread I hear you ask? What a great question for your Stage 3 students! Your students need to be able to think and breathe mathematics on their own, without us always asking the questions for them. Challenge your students to create at least one new mathematical idea each day. Use the graphic on your electronic whiteboard or photocopy and laminate for regular use. Lots of suggested challenges to start them off if necessary. The sign of success is when you can sit back and let them do all the mathematical thinking.

## MATHS GRAPHICS – MEASURMENT – 500 g Peas

Peas, glorious peas. Here is Duffy’s latest graphic – 500 g Peas.

• Did you know that peas have been around since at least 4800 BC (Egypt)? How long ago is this? How many different ways can you work it out?
• The average mass of just one pea is between 0.1 and 0.36 g. How can your students verify this information? What different strategies can they suggest?
• This graphic shows a 500 g bag of frozen peas.How much might they cost? Is it cheaper to buy a 1 kg pack? Are baby peas more or less expensive than normal size peas? How many peas might be in a 500 g pack? What’s a quick way to estimate this?
• 95% of peas are sold frozen. Why would this be? What are the advantages? Disadvantages?
• Each year a town in Suffolk, UK, celebrates a Pea Festival. What would your students create as a festival event?

## NUMBER & ALGEBRA – PATTERNS & ALGEBRA – Pick my flower pattern F12

Your Early Stage 1 and Stage 1 students need plenty of practice creating and discussing patterns. Pick my flower pattern contains teacher instructions, 4 sets of flower cards, plus 2 sets of dot pattern cards, to help improve pattern skills using real-life objects. And they can also try recording their patterns or creating a new pattern card for another team to follow. Younger students can use the cards for sorting too and explain the basis for their sort.

## NUMBER & ALGEBRA – MONEY – Activities – What’s my sale price? Y567

Calculating a percentage discount can be quite tricky. Your students need lots of opportunities to try different strategies, try to work things out mentally, perhaps use a calculator to check. What’s my sale price? is a partner activity for Grade 5/6/7 (Stage 3) students. Practise buying multiples of up to 6 objects and then calculating a given discount – 10%, 20%, 25%, 40%, 50% or even 75% off.

Complete with easy-to-read answer sheets so your students can work independently. There’s even blank proformas so your students can create similar activities themselves. Change the prices, change the discounts.

Great as part of a unit on discounts. Your students can collect plenty of shopping brochures and catalogues for more real-life examples.

## MEASUREMENT – VOLUME & CAPACITY – Photographs – Sydney Aquarium 8 million L

Sydney Aquarium at Darling Harbour opened in 1988 and is one of the world’s largest aquariums. Over 1 million people visit this attraction each year.  Most people spend about 2 hours there. It is open from 9:00 am to 4:00 pm each day. There are 4000 square metres of exhibition space, including 2 oceanariums.

Over 11000 creatures live there in about 8 million litres of water. How much water is this? How can we visualise it? For example, how many litres of water in a normal bath? How many bathtubs of water would it take to make 8 million L? How heavy will this water be?Is it sitting on the harbour floor or in a built environment?

What is the largest aquarium in the world? How does Sydney Aquarium compare in size? e.g. Georgia USA (24 million L), Dubai Mall (10 million L)?

Your students will find plenty more aquarium facts to explore and compare at http://en.wikipedia.org/wiki/List_of_aquaria

## GEOMETRY – 2D SHAPES – Photographs – 90 degree parking sign

Parking signs like this 90 degree angle parking sign can be found on many streets. A great way to discuss both 2D angles and Position/Location with your students. Why do we sometimes park side on to the curb, front on, rear end to the curb. What are the advantages and disadvantages of parking at a 90 degree angle to the curb? What other angles are possible? Which parks take up more room on a street? If you were a member of the local council, which parking sign would you like to see in your area? Look at the other parts of this sign. What does 4P mean? Why is there a time included? What does the green arrow facing to the left mean?  All of these questions are examples of the sort of discussion you can have as part of your daily mental warm-up. Or of course as part of a unit on 2D angles.

## NUMBER & ALGEBRA – PLACE VALUE – Photographs – Truck 808

Yet another photo to add to our vast place value collection. Numbers all around us. So what will your students do with this one? How does Truck Number 808 link to your maths session? For example, Place Value: How many other palindromic numbers ( the same number written forwards or backwards) are there between 800 and 900? What’s 100 more/less than this number? How many 10s altogether? (80.8) How many 100s? (8.08) 1000s? (0.808) Addition & Subtraction: if I just bought this one and I now own 808 trucks, how many more do I need to buy before I have 1000? Multiplication & Division: If I own 808 trucks, how many different ways can I put them into equal size groups? How many wheels in my fleet if there are 808 trucks and each truck has 12 wheels? If I need 2 drivers on a roster to drive each truck how many drivers do I need to employ?

## NUMBER – MULTIPLICATION & DIVISION – Grades 3/4 Counting Posters

Posters are an effective way to count daily with your Stage 2 (Years 3 & 4) students. Before students are ready to just say the multiples on their own, counting real-life objects, or pictures of real-life objects, can help your students develop more effective visual images of the multiplication process. Remember multiplication is just another form of addition, but we want our students to create neural pathways so that the numbers arrive automatically. Counting these posters daily is one way to make this happen. Count groups of 4 geckos from 4 to 40, groups of 6 leopards from 6 to 60, groups of 6 eggs, groups of 7 apples, groups of 8 beetles or groups of 9 hippos. Start at 90 and count back by 9s. Continue counting groups past the 10 x group as far as you can go. You can enlarge these six posters to A3 and laminate each one for better storage.

## NUMBER – MONEY ACTIVITIES – What’s my change from \$20, \$50, \$100 Grades 3/4/5/6

And there’s more! You can see I have been busy this week working on new money activities. And they now all link to the new ACARA Syllabus Content Codes. These What’s my change from \$20, What’s my change from \$50 and What’s my change from \$100, encourage your Stage 2 and 3 students to develop effective mental strategies for working with common shopping prices and then working out how much change is needed. They are suitable for pairs of students or small groups to use.

## NUMBER – MONEY ACTIVITIES – Counting by 25s Money Posters Grades for 3/4

Effective mental strategies come from plenty of practice. Here are four  Counting by 25s Money Posters to help your Stage 2 students find a way to mentally add multiples of 25 without the need for pencil and paper or a calculator to help them. There’s a poster for 25 cents, \$2.50, \$25 and \$250. Daily practice counting aloud will help them find their own way to visualise the pattern.

And if you enjoy using those with your class, there is also a set of four Counting by 75s Money Posters too.

## MEASUREMENT – LENGTH – Photographs – Flood Levels

Measuring the height of flood water is an effective strategy for comparing the awful effect of floods on a community. This tree near Renmark South Australia is a river gum that is well over 200 years old. It has seen, and lived through, at least 16 floods so it is now referred to as the “Tree of Knowledge“. Imagine all the information your students can collect using this photograph. The official peak height was 10.2 metres, a gigantic amount of extra water. What was the height of all the other floods? You could replicate these heights in your school playground and imagine what it must be like to experience such an event.

## THE MATHS SESSION – PREASSESSMENT – 3D Objects

Open-ended assessments always seem to worry some teachers. How will I mark them? What will I expect as sensible answers? What will I do with the information I collect if it is all over the place? To help you we have included both an open-ended task and an example of a marking checklist. This is what I know about 3D Objects is great for assessing Stage 2 students. What do I know about Prisms and Pyramids is great for assessing Stage 3 students. Your students can reveal without any prompts what they do or don’t know about 3D Objects. Once you collect all their responses you can use the sample Checklist to tick each time they mention one of the content items. These are based on the expected outcomes for either Stage 2 students or Stage 3 students.

## NUMBER – MULTIPLICATION & DIVISION – Language and Symbol Cards F/1/2

When your Stage 1 students construct and talk about their multiplication or division stories with real objects, you can record these under the objects with digit and Multiply and Divide Word Cards. e.g. 4 rows of 5 make 20. Much later, once you think they are ready, switch to the digit and Multiply and Divide Symbol Cards before reinforcing written recording in their workbooks. e.g. 4 x 5 = 20. To get started you need to photocopy these colourful cards, laminate then cut them out and store in a clip lock bag for ready use by individuals and small groups.

Keep your eye on this What’s New? section because Duffy is also working on a matching set of neon symbols to go wit the neon digits. Coming soon!

## NUMBER – MULTIPLICATION & DIVISION – Activities: Skip Count by 2s, 5s and 10s Cards

These sets of early multiplication and division Skip Counting Cards  are great for small group discussion and counting multiples aloud with your Stage 1 students. Photocopy, laminate then cut out for more permanent use. Easy to store in an envelope or clip lock plastic bag. Count aloud by 2s, 5s or 10s as you place a card on the table. Talk about 6 groups of 2, 3 groups of 5 or 8 groups of 10. What will be 2 more? 5 more? 10 more? Match the number cards to each group as you count too. What other maths activities can your students create with these cards?

## WHOLE SCHOOL – MATHS IMPROVEMENT PLANS – Resources Checklists

Checking your current maths resources is an important job for your Maths Improvement Team. What is available in each classroom? Do you have a special Maths Storeroom? Do you have all the essential resources for each sub-strand you teach? Are there enough for the numbers of students you have in each class? We provide a wide variety of Resources Checklists that are easy-to-use and follow a suggested plan so that each Term you check just some of the sub-strands. You can mark the checklists with a tick, a number or whatever you like. They are live documents, not fixed pdfs, so you can adapt them to your own formats too. It’s never too late to start checking your resources, so what are you waiting for?

## WHOLE SCHOOL – STAFF MEETINGS – 2D Hexagon Workshop

One of Bev’s favourite shapes – the 2D Hexagon. Here are 18 beautiful Powerpoint slides all ready to go. A unique feature of our Maths Matters Resources website. A big help for your school’s Maths Improvement Team when planning our suggested 2D Shapes curriculum focus on hexagons. And always with an emphasis on how to develop and improve spatial visualisation skills in both your teachers and their students. Each slide comes with any necessary handouts, plus it is packed with Bev’s detailed suggestions about what to do, what to say and what to expect. Almost like having Bev look over your shoulder with words of encouragement.

## NUMBER – ADDITION & SUBTRACTION – Activities Y567 – Magic Hexagon 1-24

Are your Stage 3 students up for this Magic Hexagon 1 – 24 Number Puzzle? There are almost 60 million different ways to solve this number puzzle but finding just one could prove to be a nightmare. All they have to do is rearrange these 24 triangle-shaped number tiles on the hexagon grid so that every row adds to exactly 75. So simple!!!!