Code a City!

A favourite small world play activity that the children enjoy is our 'Code a City' challenge. This math invitation requires just a few materials - a city template, blocks, dice, and mini vehicles. The 'Skyscrapers' book is a perfect nonfiction resource to supplement the learning.

Children select a template. They can use one or multiple dice depending on their ability. Roll and add the pips on the dice together. 

Write the corresponding number in a space on the template.

Build a tower with that many blocks.

When your city is complete add mini vehicles for some small world play!

Printable Subitizing Cards

We use these subitizing cards for many games in our classroom. This past week we invited children to play a 'roll and record' game. Using one die or two dice, children would roll, subitize or add, and cover that number on their card using a holiday trinket. Click on the image of the card to download your own copy of the four subitizing cards!

Easy St. Patrick's Day Math Ideas

St. Patrick's Day is a fun holiday that helps jump start the spring season! Here are a few easy to plan math activities for children!

1. Shamrock Subitizing- Write different numerals in the center of each shamrock and encourage children to place dominoes with the corresponding number of pips in each leaf.

 

2. Estimation/Counting Jars - Fill jars with a variety of different seasonal loose parts. Encourage children to estimate how many objects are in each jar. They can then use a variety of math tools (e.g., number grid, ten frame, hundreds chart) to count the total objects. These can then be recorded on a paper for comparison.

3. Rainbow Numbers - Provide children with a variety of numbers and encourage them to explore these in different ways (e.g., sorting by colour, ordering, create number combinations).

4. Colour and Coin Sorting - Recycled marker caps can become 'pieces' of the rainbow. Add fun play coins and seasonal pots to the tray and encourage children to sort, count, and pattern with the loose parts.

5. Roll and Record - Here is a fun template that can be used by children to support many math explorations! Children can roll and subitize a die and colour in the corresponding number of shamrocks. Two children can each roll and colour in shamrocks using their own colour and try to get 4 in a row. Children can colour the shamrocks in using different colours to create patterns. The possibilities for this template are endless!

Get the free printable here: Shamrock Printable

 

6. Which One Doesn't Belong? -  Show children pictures of different shamrocks and ask them to articulate which picture does not belong. 

Get the free printable here: WODB Shamrocks

7. Gold Coin Count - Add dice, coins, number lines and writing materials to this game board and encourage children to create and play their own treasure games!

Get the free printable here: Gold Coin Count

8. Find the Gold Coding - Draw the path needed to get from home to the pot of gold! Use arrows to display direction of movement.

Get the free printable here: Gold Coding Mat 

 

 

 

Subitizing Game Printable

Subitizing is the ability to instantly recognize the number of objects without actually counting them.

 

This week we practised subitizing using a number cube and this subitizing grid. Children rolled the number cube and dabbed a corresponding square on the grid. There are so many possibilities for how else children can extend this game. It's perfect for small group math work, a math center or independent practice during whole group time. Visit the link to download a copy of the grid. Enjoy!

Algebra in Kindergarten? Absolutely!

 "Pure mathematics is, in its way, the poetry of logical ideas."

Albert Einstein

 

When you think about algebra you might have memories of sitting in a high school math class, searching for unknown values in linear and quadratic equations. Those long ago math courses may seem far removed from today's kindergarten classrooms but did you know that it is essential for educators to promote algebraic reasoning in early childhood education?

I devoured the most recent issue of Young Children (Volume 77, Number 3), especially the article Promoting Algebraic Reasoning in the Early Years by Lindsey Perry. 

In her work Perry advocates for algebra in early math programs that explore two main ideas: composition and decomposition of numbers and properties of operations. According to Perry (2022) algebraic reasoning "involves seeing and describing patterns and relationships between quantities that may be unknown...which builds upon students' understanding of patterns and relationships with known quantities and values" (pg. 17). Perry posits that if children can observe and describe number relationships they can begin to symbolically represent relationships between numbers. 

Composition and Decomposition of Numbers

When children compose they understand that a number can be put together using its parts (e.g., 5 plus 5 equals 10). Decomposition is the opposite where a number can be broken apart in different ways (e.g., 10 can be broken into 8 and 2 or 7 and 3). When children compose and decompose numbers they understand how to manipulate numbers in different ways, which helps them become flexible when solving calculations. For example mentally adding 68 + 22 can become easier when children realize that the ones values total 10 and then add this to the tens value (10 + 60 + 20). Adding 68 plus 22 is the same as adding 10 plus 60 plus 20 but the second strategy may be easier to mentally calculate for many people.

Properties of Operations

Properties of operations encourage children to work flexibly with numbers in order to recognize and manipulate their relationships. This helps them simply calculations in order to more efficiently and accurately solve them. For example the order of addends (numbers added together) does not matter in order to arrive at a sum. 

a + b = b + a 

6 + 4 = 4 + a therefore a must be 6.

The commutative property applies to addition and multiplication. The order of numbers can be switched and it does not change the answer of the operation.

2 + 7 = 9 and 7 + 2 = 9

4 x 5 = 20 and 5 x 4 = 20

The inversion property states that all integers have an inverse number that when added equal zero. 

3 + (-3) = 0

Although complicated young children can play with inversion when they become interested in, and work flexibly with equations.

3 + 2 - 2 = 3

So how can early childhood educators encourage children to participate in activities that promote early algebra? Here are some simple activities that can be used regularly to build children's confidence, ability and interest in number sense.

Equation Line

 

Provide children with a variety of subitizing cards and math symbols (addition sign, subtraction sign, equal sign). Encourage children to arrange the cards in different ways in order to create equivalencies.

 Make 5 (or 10)

Show children a total number of cubes (starting with 5 and then 10 is helpful). Hide the cubes behind your back and remove some. Show children the remaining number of cubes and encourage them to calculate how many are hiding.

Singing Songs with a Five/Ten Frame

When singing popular songs and finger plays with children (e.g., 5 Little Monkeys, 10 in the Bed) add a five or ten frame as a visual and manipulate the number of counters in the frame to match the number being sang. 

Counting Beads

   

A string of counting beads can easily be made using two colours of wooden beads secured on a pipe cleaner. Encourage children to use these when playing number games or engaging in number talks.

Domino Sort

Provide a mat for children (here a foam shamrock has been used but any shape will work). Write numbers on individual mats. Encourage children to sort dominoes and match their quantities to the mats in order to represent the many different dot arrangements possible for each number.

Roll a Ring

 

Seasonal rings are a fun tool to use in math games. Provide children with dice and encourage them to roll and add (or subtract) the numbers. Children can then wear the corresponding number of rings on their fingers. If two players play the game, they can each roll and wear rings and then compare hands to see who has more or less.

Name Equations

 

We enjoy representing children's names with boxes and encouraging them to think about the number, size and shape of the letters. These boxes are also fun to represent at equations so that children can play with their names and integrate a bit of math into literacy.

Calendar-based Number Talks

Morning message is a great time to encourage a daily number talk. We often represent the date in different ways (e.g., dice faces, dominoes, tallies, frames) and then encourage children to calculate the number by paying careful attention to the representations and operation signs used.

Which One Is Wrong?

 

Another favourite number talk is 'Which One is Wrong'. Different equations are displayed and children are challenged to explore each one using manipulatives (e.g., cubes, bead strings) to find the incorrect one. 

What other activities do you use to help children with early algebra? Let's connect on social media @McLennan1977!

Different Number Fonts

It's always interesting to see how children innovate math materials. This week we provided pages with the numbers 1 to 10 written in interesting fonts. We offered each child a dabber and two dice and encouraged them to create their own games.

Observing before interjecting allowed me to notice the amazing math repertoire children brought to their experiences as they manipulated the dice, examined the paper, made connections between the different representations of the numbers, and created their own games.

 

 

Click here for a copy of the number pages to use in your classroom! 

Spider Ring Roll

We played a fun game that capitalized on the children's love of spiders and encouraged subitizing and comparing quantities. Spider ring roll was a fun and easy way to infuse some math into a small group experience. You can see from the pictures that many children were interested in trying the activity out!

 

To play this game each player rolls a die (or multiple dice if you would like to encourage subitizing and adding). That player identifies the number rolled and puts that many spider rings on his or her fingers. For example if a four is rolled then you get to wear four sparkly spider rings.

 

Once every player is wearing their rings the hands are compared. First the rings are counted and a number is identified and then the children see who is wearing the most rings. Player with the most spiders on his or her hands wins the round!

 

 

Number Line Jump

In pairs each person takes turns rolling three or more dice. 

Subitize and add or count the dots to find the total. 

Find your place on the number line. Working with teen numbers can sometimes be tricky so this game encourages practise!

Person with the highest number wins!