### Target Age Range: PK-6th

### Skills Covered: finishing patterns, growing patterns, symmetry, naming patterns, area, perimeter, charting, relationships between patterns, number patterns, problem solving

# PK-2 Activities

**Top Photo:** Begin a simple pattern (using any manipulative you like) and ask your child to continue the pattern.

To help young children begin to understand what a pattern is, I like to orally say the pattern with a rhythm of some sort. For example, RED, green, yellow, RED, green, yellow. I place extra emphasis on the word capitalized.

I might also do a clapping pattern as I am talking to reinforce the idea that a pattern repeats itself. For example, using the above pattern of blue, blue, green, I might clap, clap, stomp along with the words.

**Bottom Photo:** Simple growing patterns are easy for little ones to understand. In the first picture, I placed both the top row (1 block) and the second row (2 blocks) and asked my kindergartener how many he thought might be in the 3rd row. We kept building new rows until he understood each row grows by one block. I used the same approach in the second picture.

Symmetry is a tough concept for young learners. An easy way to help gain understanding is by using a small mirror. I built very simple 2 and 3 piece pictures from pattern blocks. Then, I held a mirror up next to the blocks so Eli would see the entire shape that I wanted him to build. While I held the mirror in place, he would use pattern blocks to build what he saw. After doing this a few times, I was able to leave him alone to create some on his own from start to finish.

Using a book like Developing Mathematics with Unifix Cubes, K-3 can help you (the teacher) understand how to use your math manipulatives and offer you all kinds of wonderful lesson ideas. Using pages from an out-of-print book, in the photos above Eli was able to practice both patterning and logic/critical thinking using our unifix cubes. I love having some open-and-go, hands-on resources!

# 3rd-6th Activities

Naming patterns is an easy way to document them. It’s much easier to write, “I have an ABBC pattern”, than it is to write, “I have a red, blue, blue, yellow pattern.” Additionally, naming patterns begins to solidify the early algebraic understanding that letters can represent other things.

In this activity, I simply named some patterns on notecards and asked my son to build the patterns with color tiles. We reversed the activity, too, where he named the patterns and I made them from color tiles.

I love this next activity! It measures the area or perimeter of a pattern’s unit and remeasures as each additional unit is added to the pattern. A chart is created that shows relationships between the growing numbers.

Let me see if I can explain it…

1. Build an AB pattern from pattern blocks. One unit includes both the A and B. In the photos on the left (above), the unit contains a yellow hexagon and a blue diamond.

2. Using a green triangle (the smallest of all the pattern blocks), measure either the area or perimeter of the AB pattern.

3. Make a chart with two columns. On the left hand side, note how many pattern blocks are in the pattern. (In this case there are 2.) On the right hand side, note how many green triangles it took to measure the area or perimeter.

4. Add another unit to the pattern. (In this example, it will now look like ABAB.)

5. Again, measure the area or perimeter of the entire pattern and fill in the chart.

6. Continue adding one unit at a time, remeasuring and noting data until your child can tell you the “rule”. In other words, the rule for the number of cubes in this pattern is +2, while the rule for the area is +8.

**Your Chart Might Look Something Like This:**

**# In Unit Area In Green Triangles**

2 8

4 16

6 24

8 32

10 40

Rule + 2 Rule + 8

With Christmas approaching, I thought this was a fun math activity. It’s based on the song, “The Twelve Days of Christmas.” Your child’s job is to create a chart showing how many of each gift is given over the course of the song. Then, using addition and/or multiplication, figure out how many of each item is given over the twelve days, as well as how many items total. Fun!

**Need a living math “how-to” guide?** You might like Loving Living Math!

Be sure to skip your way through all the other bloggers taking part in the Hopscotch, too!

Heather says

Fun stuff Cindy! I’m excited to read the rest of your posts! I’ll be sharing how we use notebook paper in our math fun…of course, right?

Heather

Mary says

Thanks for the great ideas, Cindy! I have a total numbers guy in my house (he’s 7) and I’ll use some of these ideas with him. I might have to snag that ebook, too!

Tricia @ Hodgepodge says

I just love all of your living math posts – and your eBook! Thank you for freeing us and helping us learn more in this area.