Decomposing Numbers - Guided Math Ideas

Hi again! I am thrilled to have been able to return to work today! After having 2 and a half weeks off recovering from surgery on my hand, I was absolutely chomping at the bit to get back to work with my little kiddies - and they certainly did not disappoint!

I would like to share some ideas I have used myself when beginning to work on decomposing numbers, but before that I wanted to share some photos from today.

Last week I shared a post all about hands on activities for learning word families, and I had a question on another post about whether I do these activities as a whole class or in small groups, or how they look in my own classroom.

I played a game of 'Hop it Out' today with my little munchkins and I thought I would show you an example of how I like to tweak games to suit the group size. The pictures on the right is the one I shared in my post last week, which is a great set-up for a small group situation. For this size grouping my kiddies would use a teddy to help them 'hop it out' and we would use the cards on the carpet. You can read about it HERE.

The picture on the left is from today - the same activity, just in a whole class setting. I had my kiddies sitting in a semi-circle, leaving enough space for my hoops. I started by showing the whole class the picture (ideally I would be using larger pictures and letters), and had the kiddies think about the sounds they could hear in the word. Next, one child hopped up and we sounded out the word. After this we went back through the word and spelled it out using the letter cards. We also had a little practise reading words by putting a word in each hoop and having the kiddies toss beanbags into the correct hoop as I said a word.

This is just an example of how I like to tweak games and activities I find to suit my classroom. Once you start, it is really easy to tweak activities like this.

 Anyway, on to the REAL post...

I haven't got any clever names or such for these activities, so you might just have to cope with my terrible explanations today. These activities are all about different quick and easy ways to decompose numbers. I have used small numbers to make the activities simpler, but I will eventually get around to sharing ideas for larger numbers.

For this activity I have the kiddies look at tens frames (given one focus number at a time), quickly identify the number of dots, and then talk about how you see the dots. This is a great stepping stone for subitizing and number recgonition. This is a great oral activity to do with a whole class with large flash cards. You don't even need to print cards. Just photocopy a tens frame multiple times and either draw on the counters or use sticky dots. Or even better, use a small magnetic whiteboard and magnetic counters to show numbers quickly and easily.

This is such an important skill that repetition is the key. To avoid my munchkins getting bored I like to mix it up with different manipulatives - blocks, teddy bears, two-sided counters and beads are just a couple of ways you can keep this concept fresh for your own kiddies. In each activity, give the kiddies a starting number and have them experiment to decompose their number, show it, and record it.

Who doesn't love bowling? And I just adore these little 'Old McDonald's Farm' skittles I picked up at a clearance store, and so do my kids! You can make your own with old bottles with a little rice in the bottle. I have a set made up with mini coke bottles, rice inside, a foam sphere on top and painted with bright acrylic paints which work just as well :)

This was is great for whole class activities it is much larger and all kids love playing with beanbags.

More ways to show decomposition. I have found that sometimes it can help to show the different parts in separate containers. I also like to use my flash cards with tens frames on them to help kids visualise the numbers.

And this is a quick game which my kiddies enjoy playing in my guided math groups for decomposing the number 10. They each have 10 cubes to begin with and a blank tens frame, whiteboard and marker, and a die. The kids roll their die and place that number of cubes in the tens frame. They they work out how many more will make 10 by looking at the empty squares and write their response.

Lastly, this is a very cute idea I found over at the Math Coach's Corner. Donna has shared a few different ideas for how to use these cards within a guided math context, which you can check out HERE.

Anyway, that's all from me :)

Hope you have a great night all and... TGIF!!!!!

Hands On Addition

Welcome back all! Today I thought I would share a few ideas for exploring addition in a hands on way. I have played various versions of each of these activities with my students, both in Grade 1 and Prep, and they have all enjoyed them. I have tried to choose games which can be very easily manipulated, and which require very little prep work from you. All of these can be played at both a whole class and a small group level, depending on what your focus is.

Apple Addition

If this game looks familiar, it probably does! This activity is just a tweaked version of my Apple Tree counting game which I shared in my first post about 'Number Sense Warm Ups'.

There are 2 ways to play this game, both requiring the same set-up. All you need are 2 Cardboard cut-out trees, paper plate numbers to 10 (or beyond), whiteboards and markers, and scrunched up red and green paper for the apples. Have the students help you place the number plates in order to form a numberline, and scatter the apples around the trees.

Game #1: Scatter both red and green apples between the trees. If you are focusing on count-ons, try putting out only 4 or 5 red and 10 or more green. In most cases, this will help the students collect count-on facts to solve. Invite 2 students to collect as many apples as possible and place them on their trees. After the students have filled their trees, they will count up the number of each colour and write the addition on a whiteboard. This is a good opportunity to discuss how to write the larger number first. The students solve their additions and stand by their number. The class can then compare who has the greatest number of apples.

Game # 2: Scatter only one color of apples between the trees. Again invite the students to collect as many as they can to fill their trees. Collaboratively write the addition sum on a whiteboard and solve together as a class.

Fishing Addition

Again, this game is a twist on a fishing game I have already shared in my 'Number Sense Warm Up' post. Set up 2 'ponds' using hula hoops and fill with magnetic fish - I just added paperclips to some cardboard ones. Invite 2 students up to go fishing. To make this even more fun I chose 2 of our class teddies who the students would be helping out. Give the students 30 seconds to pick up as many fish as they can with their rods (time to practise counting to/from 30!). Once you reach 30 (or 0), count up each collection, write the sum, and solve to see how many fish the kids caught!

Modelling Count Ons

When working with count on facts, I try to only have the 'count on' part in materials to encourage the students to actually 'count on' not 'count all'. For this game, you will need some sort of moveable numberline. In the photo I have used cups with sticky notes but you could also use tent-folded cardboard numbers - I find it best if the numbers are standing up to make them easier to see. Place a paper plate number down next to an empty plate. Count out a number of counters onto the empty plate. Use the numberline numbers to model the addition sum shown. I chose to add in cups showing the addition and equals signs to help make the number sentence clear.

Paper Bag Count Ons

Again, for this activity I like to have a moveable numberline to show how we can use a numberline to solve additions. Place a number on a sticky note on an empty bag and scatter 1, 2 or 3 objects in front of it. I suggest using 2 counters. With one counter, make the number you are counting on from (the number shown on the bag). With the other, show the jumps you will make to 'count on' to get the solution.

Rainbow Facts

This game is very easy to set up and play - all you need are 2 plates, a moveable numberline, and 10 of something. This size is perfect for small group work, but if you are looking at it as a whole class, I would be replacing the plates with hula hoops, the cups with paper plates, and the counters with bean bags or something else relatively large. To play, just choose a number for the first group, count out that number of counters, and place the rest in the second group. As you work, This would be a great opportunity to record the students discoveries to create an anchor chart.

Roll and Count On

Again, very easy to set up and play. See that die? Guess what it is... a Rubiks Cube! I kid you not! I have just Blu Tacked a set of pictures of collections of 1, 2 and 3 apples to each side. This would work perfectly in a pocket die. No need for fancy pictures either - just add some dot cards :)

Pick a number to start with and have a student locate it on the numberline and mark it with a counter. Have a student roll the picture die, and model the count on with another marker (I used plastic jets - great to keep the boys engaged!)

Roll 'n' Add

Yep! That's the same Rubik's Cube picture die there! Just add a large regular die (or again add numbers to a pocket die and you have a game ready to go. Have a student roll each die and state and solve the resulting count on fact. Because of it's very quick play, this is a great game to play as a warm-up to build fluency with count on additions.

Target Practise

Remember those paper plate numbers? Scatter them in a group, add a beanbag, a tens frane and some markers (chalk and sports markers works great!) and you have a Rainbow Fact addition game ready to play. Invite a student to toss the beanbag onto a paper plate and show that number in the tens frame. Have the class identify how many more you need to make ten. Fill the tens frame with markers of another colour and record the rainbow fact.

Teddy Addition

I am all about making math fun, and what better way to do that than by adding teddies? When I taught Grade 1, in Term 4 I made every Friday 'Teddy Math' day. This was our FAVOURITE time! One of our Teddy Math games was to simply show and solve additions like you see here. You could easily alter this to focus on count ons by placing a bucket or a box upside down and have a number of teddies 'hiding' in a cave. Heaps of fun - your kids will love it, I guarantee it!

Toss 'n' Roll

This is another fun count on fact game. Take out those paper plate numbers again, the picture die, and a beanbag (or one of those scrunched-up apples you now have) and set them up as shown here. Invite a student to toss the beanbag onto a plate, then roll the die and solve the addition fact you have made.

Remember, all of these games can be very easily tweaked to suit whatever your focus may be. Maths is my favourite time of day because we play so many games and the kids are so engaged. I hope this has given you a few ideas to play with too.