Flipped Hundred Chart

Helping children conceptualize numbers and find meaningful ways to think about their relationships is a goal in our kindergarten classroom. We encourage problem solving and working with number strategies in daily number talks, and are always on the lookout for interesting ways to compliment the rich math learning opportunities we are observing in the children's play.

Recently I became a member of the National Council of Teachers of Math (NCTM https://www.nctm.org/). A highlight of membership is that I have access to the journal Teaching Children Mathematics, which is filled with research-based articles outlining interesting and developmentally appropriate practice for the early years. In the December 2017 (24, 3) issue there is a fascinating article by Jennifer M. Bay-Williams and Graham Fletcher called A Bottom-Up Hundred Chart? In this piece the authors challenge educators to consider the potential for enriching children's learning if the popular math tool is flipped upside down.

 

Click here for a downloadable copy!

Bay-Williams and Fletcher share that a flipped hundred chart makes sense because when children use the chart to solve equations, the language they use to describe direction on the chart matches their understanding of the operation - if adding the number appears to get taller, bigger and greater as physically modeled when children track the addition sentence by moving up on the chart and if subtracting the number appears to shrink, moving downwards and getting smaller by descending the chart (e.g., if a child is solving 13 + 12 s/he would first point to the thirteen, move upward one space and then to the right two). The authors also suggest a number of different activities for exploring the chart including cutting one into a 'number puzzle', encouraging children to find mystery numbers, and assigning children a number and challenging them to find all the number's 'neighbours'. These activities are great ways for children to physically and mentally manipulate the chart, helping them to become more comfortable working with the numbers.

After reflecting upon our math program I have created five additional activities that I believe will continue to challenge children and encourage them to strengthen their understanding and confidence working with the numbers 1 - 100.

Guess my number!

Display a flipped hundred chart and mentally think of a number that the children will have to guess. Give children one clue at a time to help guide them to your number (e.g., my number is less than 50, my number doesn't have a 6 in it, my number is odd). The children can consider the clues and cross out the numbers that don't follow the clues. With additional clues more numbers will be crossed off the chart until children guess the correct one. Reverse roles and invite the children to think of a number and give the clues to you!

Pentomino Trace

Our children love to manipulate pentominoes - using them to fill frames and trays and solving intricate puzzles. Children can also be encouraged to use them as tracers, matching them to the chart and outlining the numbers contained within. Once a collection of numbers has been traced, encourage children to find something that all numbers have in common (e.g., they each have a 4 in them; they are all greater than 36). Tip - ensure your flipped hundred chart is printed to the same size as your pentomino set to ensure an accurate match.

Dry Erase Number Write

Our children love to write with dry erase markers. Create a variety of 'missing number' flipped charts, laminate, and invite the children to practise filling in the missing numbers.

 

Click here for my downloadable copy!

Flipped Hundred Chart Coding

We spend a lot of time coding in our classroom and see potential for incorporating coding directions and spatial reasoning into exploring the flipped hundred chart. Display the chart and determine a starting number. Provide children with a series of verbal or written coding directions as they move from the starting number and reach the end number. Once the final number is determined encourage children to create an statement or equation that describes the relationship between the two numbers.

Start at 3.

Move up 4.

Move right 5.

The number is 48!

 What do you know about 3 and 48? (48 - 3 = 45, 3 + 45 = 48, 3 + 5 + 40 = 48)

Roll, Subtract and Race!

Use an enlarged copy of the flipped hundred chart as a board game. Two (or more players) can use recycled board game pieces and place them on the starting point 100 spot. Each player takes a turn rolling one die and moving their player backwards on the chart (or 2 to make the game more difficult). Students can be encouraged to think in equations (If I start at 100 and roll 5, 100 - 5 places me on the 95 spot). First player to move off the board into the 0 spot wins!

What other ways can children learn with the flipped hundred chart? 

Feel free to share other ideas in the comment section below or tweet #flipped100schart!

Mini Holiday Present Math

The children are very interested in presents and anything sparkly, so we decided to invite them to explore some mini holiday presents today.

 

In addition to the mini presents and number cards, we encouraged the children to practice writing numbers and craft addition sentences using laminated ten frames and dry erase markers.

 

The children counted out the presents, matched the corresponding number card, and then used the dry erase marker to practice writing the number.

 

Many were interested in showing their growing number sense and math abilities by writing addition sentences to match their ten frames.

 

We noticed lots of patterning happening too!

Some children drew their own presents!

 

At circle I placed the presents in a pile in the middle of the carpet and invited the children to estimate how many they thought were in the collection. They had very reasonable guesses, with many children's estimates falling in between 50 and 80.

I asked the children how we could quickly and efficiently count the presents. They suggested placing them in groups. At first groups of 3 was suggested but we decided this wasn't a friendly enough number (because then we'd have to count by threes, which can be challenging) so we decided to group the presents in fives.

We had a total of 50 presents!

 

We wanted to double check our work so the idea of placing the presents in order using a hundreds grid was suggested. Our final count was 50!

How Many Presents?

Today we displayed some mini presents and encouraged the children to practice counting how many there were by using the tools we've been exploring in the classroom: a hundreds chart and some ten frames.

 

The children knew they needed to start at the number 1 on the chart and add the presents one at a time in order so that they had an accurate number. We discussed what would happen if they randomly placed the presents on the chart.

 

The children also used the ten frames. They knew they had to fill one ten frame up before moving onto a new one.

 

Once the children had an accurate count, they were encouraged to record the number on a piece of paper at the centre. Some children counted the presents using both tools before recording their number in order to ensure their answer was correct.

Math Tools

With over 300 food items for our can drive, we are preparing the children for calculating a large amount of objects by using math tools in many situations this week. We presented a counting problem to our children during circle. After displaying some plastic food, the children suggested using a hundreds chart to help organize and accurately count the number in the collection.

 

They carefully placed each object on the hundreds chart...

 

...and were able to tell with every piece what number we were at.

 

When the chart was filled the children realized we had over a hundred items! We lined them up next to the chart to come up with a final count.

On a different day we asked the children to again help us count a large quantity of little vehicles. Our rule was we couldn't count them and couldn't use a hundreds chart. One child knew that 10 ten frames was the same as a hundreds chart, so we placed them on these instead.

We are going to continue to challenge our children by using large numbers. 10 frames and hundreds charts can be easily found online and printed. Why don't you consider counting some collections at your house using these strategies?