Not an original idea , I did mass Google and found some neat idea when helping out a friend make some invitations for her daughters birthday.
Children often learn math best with concrete, real-life, physical examples that they can feel, touch, move and manipulate.
Candy Math (or Pasta Math): For this activity you will need either candy or pasta with different attibutes, such as colour, shape, type, flavour, etc. Playing Cards: These are great for matching, addition and subtraction games and studying probability. Pentominoes: These are arrangements of 5 square units joined along the sides to make various shapes. Follow the folding images above, folding and cutting or tearing along the dotted line in each. You will end up with two large triangles, one medium triangle and two small triangles; a square and a parallelogram.
Fractions:Fractions can seem confusing to some students, but really all they are is mini division questions.
It must have equal parts that form a whole that can be somehow identified (floor tiles of a whole room, or ones in the area marked off with masking tape, for example). It must be present, measurable and real in order to be considered concrete (time is not so concrete, but a calendar or analogue clock face can be).
Using food containers alone you could probably find examples of halves, thirds, quarters, fifths, sixths, eighths (hotdog buns), tenths, twelfths (hotdogs), 20ths, 24ths, etc. There will likely become a time not far into the discussion of fractions where some smaller and more manageable examples will become more practical.
Now choose one colour (usually centimeter graph paper, but you can vary this if desired) to keep whole as a base, and the other three to divide into equal parts. Of course, you may decide you want more than those fractions, so simply repeat the process by tracing your base rectangle and cut out more fractions as desired. As with all other manipulatives, it is best to encourage students to explore with the materials for a while and find their own patterns with them before providing them with additional challenges.
Write down the sequence of both each row, as well as the sum of all the tiles up to the end of each row. To make these, either print the template on paper that has different colours on each side, or print out a copy then glue a contrasting sheet of coloured paper to the back.
Mancala Game: For this you will need a clean egg carton (use a plastic or styrofoam one that can be thoroughly washed out) or an ice cube tray that holds 12 ice cubes. If the last stone a player drops is in an empty hole on their side, they capture that stone and any stones in the hole directly opposite.
Moves after the first one continue in the same way, with the player removing the stones from any hole and distributing one to each hole in a counter-clockwise direction. The player who still has stones on his or her side of the board when the game ends captures all of those stones.
The strategy involved in this graph paper and pencil game is similar to that used in the popular game "Blockus".
Boxes of different players may share a side as they pass each other, but must not overlap boxes.
Variation 1: Each player starts with a single box, and on each successive turn adds an extra box to their block.


Variation 2: Using either of the versions above, the goal is now to reach a square touching the opponent's original block before their opponent reaches theirs. Now you need to keep folding these triangles along your strip until you have 9 triangles (10 if you wish to use an extra flap to glue it together).
If you are using 9 triangles, tape the edges of the end triangles together; if you are gluing, fold over the remaining triangle and glue it.
Comparisons: graph the numer of seeds from several pumpkins and compare, compare weights and circumferences of pumpkins, compare the thickness of the skins. Educational suppliers have long known this, and sell many different kinds of math games and manipulatives.
For any shopping trip: try using cash for your transactions and share how to make change with your child as you pay for items. These shapes include: 5 in a row, which looks like a lower case l, 4 in a row with one at the side at the bottom, 4 in a row with one at the side one up from the bottom (and also flips of both of those), 3 in a row with one to the side at the top and one at the other side to the bottom (an "s" or a backward "s"), a "u" which is an "s" with both on one side, a "T" and a "t", and a double row of two plus one to the side.
You can also view them as little puzzle pieces that when assembled, come together to create a whole.You can start introducting fractions by using everyday objects around the house or classroom.
If you choose to use an egg carton, use marbles, pebbles, beans or other place holders to show what parts are used.
Some quantities seem to be more common than others, which is another cause for classroom discussion. Once you have exhausted examples of fractions in everyday life (ice cube trays, orange sections, pizza etc.), you may find you want a set of manipulatives you can work with on a smaller and more convenient scale. I've detailed a few challenges below, but when working with students on these, it is better to ask them more general questions and let them find their own patterns and solutions.
The top row will have one tile, the second row will have two, the third will have three and so on. For this one, your top row will have one tile again, but your next row will have three tiles. Decide on the size of your grid and draw dots in vertical rows that also line up horizontally (if you use graph paper for this, the dots would be at the intersecting corners). We tried this several ways but found that twisting it, as in the picture to the left, was the most effective way to do this and still account for the thickness of the paper. Fold your hexaflexagon both ways along each fold that connects opposite corners so that it will move smoothly from one position to the next. The seeds, when cleaned, make excellent counters, or you can colour one side and use them for statistical games as mentioned above.
Can you use this to predict the sum of the 10th row?For most students, you might just show them the first two or three rows then ask them to predict the 10th or 12th, challenging them to try it without using the tiles if they can. The board is a 4 x 8 series of sections (similar to Mancala) and beans are distributed around each player's own side, with rules for capturing beans from your opponent based on the comparative number of beans in adjacent sections. Starting at opposite corners of the page, each player colours in (or writes their symbol inside) two boxes on their turn.
Those boxes must each share a side with another box, and could be in a row or an L-shape, as long as they fulfill the one-side connection rule. Using a paper clip to hold all of the same sized pieces together also helps keep things organized. You can use the template above, or print from this PDF file (now with thinner lines).Algebra tiles can be used in a variety of ways to show concrete representations of equations and expressions.


The goal is to capture your opponents beans until they cannot make a further move in the game. Those boxes must share a side when they form a new "block", and after the first turn, they must touch another set of that player's boxes by touching only at a corner (the new block must not share a side with an older one of the same colour or symbol, which is similar to the game Blockus).
If you choose to use pasta, look for a variety of shapes, sizes and colours in your selection. Be sure that as you move your finger around the hexagon shape, each time you reach a place where the paper overlaps, it forms a pocket. Use online flyers to compare prices to determine which store will meet your shopping needs most economically based on your shopping needs. Pasta can be grouped by size, colour, shape and whether it can be threaded onto a string or not. If a player is caught making a multiplication or addition error, they must divide their score by the last card they played.
This is similar to the game "blockus".To make your own set, trace out the pieces (1 cm squares work well) and cut them out from construction paper, bristol board etc.
Give each student four sheets of different coloured paper (using a sheet of 1 cm graph paper as one of these sheets can help provide a stronger visual representation). The player who closes a square (by adding the line that completes the 4th side) puts their initial in the box and gains a point.
It doesn't matter if this happend for a clockwise or counterclockwise circle, as long as it is consistent.
If you don't have a great variety on hand, try buying in bulk so you can pick and choose how much and what types you would like to use.You may wish to start with addition, adding and counting out the items.
To take turns, players may either select a card from the deck or ask another player if they have a certain card. You can use the template in the picture here, or make your own, although it's even better if the learner builds the set to practice measuring. Division can come next (sharing the candy evenly between friends, stuffed animals, etc.) and multiplication by reversing the activity. Once they have measured and cut their pieces, they should have four rectangles of the same size but of different colours. You can sort by the various attributes, make Venn diagrams using needlework hoops, hula hoops, or lengths of string tied into circles. Try graphing by attributes as well--you can draw a graph or us the actual materials to form a graph on your work surface. Subtraction comes last, and if you are using candy you will subtract by eating them of course!
Base 10 sets are great for measurement, base 10 activities, and showing exponential growth.
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