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Lesson 1: Finding Patterns

About 15-20 minutes -- Screen-free lesson

What You Will Learn

By the end of this lesson, you will be able to:

What Is a Pattern?

Look around you right now. Can you see anything that repeats? Maybe the tiles on the floor go dark, light, dark, light. Maybe your shirt has stripes that repeat. Maybe the fence outside has posts that are evenly spaced.

All of these are patterns. A pattern is something that repeats in a way you can predict. Once you spot the rule, you can figure out what comes next.

Pattern: Something that repeats in a regular, predictable way. When you know the rule of a pattern, you can predict what comes next.

Talk About It

Ask your child: "Can you find three patterns in this room right now?" Look for patterns in floor tiles, wallpaper, fabric, bookshelves, or window panes. Patterns are everywhere once you start looking!

Patterns in Shapes and Colors

The simplest patterns use shapes or colors that repeat. Look at these and see if you can spot the rule:

circle square circle square circle square ___

Try It: What Comes Next?

What shape should fill the blank?

Answer: Circle! The pattern is: circle, square, circle, square... It keeps switching back and forth. The rule is "circle then square, repeating."

Here is a harder one with colors:

red red blue red red blue red red ___

Try It: What Color Comes Next?

Answer: Blue! The pattern is: red, red, blue, red, red, blue... The rule is "two reds then one blue, repeating."

How to Find the Rule

To figure out any pattern, ask yourself these questions:

  1. What repeats? Look for a group of items that shows up more than once.
  2. How long is the repeating part? Is it 2 items? 3 items? 4 items?
  3. Can I predict what comes next? If you can, you found the rule!

Patterns in Numbers

Numbers can have patterns too! When you count by twos (2, 4, 6, 8...), you are following a pattern. Let us look at some number patterns.

2, 4, 6, 8, 10, ___

Try It: What Number Comes Next?

Answer: 12! The rule is "add 2 each time." 2+2=4, 4+2=6, 6+2=8, 8+2=10, 10+2=12.
5, 10, 15, 20, 25, ___

Try It: What Number Comes Next?

Answer: 30! The rule is "add 5 each time." This is counting by fives!
1, 2, 4, 8, 16, ___

Try It: This One Is Trickier!

Answer: 32! The rule is "double it each time" (multiply by 2). 1x2=2, 2x2=4, 4x2=8, 8x2=16, 16x2=32. This is called a "doubling pattern."

Rule: The instruction that tells you how to get from one part of the pattern to the next. For the pattern 2, 4, 6, 8, the rule is "add 2." Every pattern has a rule.

Patterns in Nature

Nature is full of incredible patterns! Scientists and mathematicians have studied these patterns for hundreds of years.

Patterns You Can Find Outside

  • Snowflakes: Every snowflake has six sides (six-fold symmetry). The branches repeat around the center.
  • Sunflowers: The seeds in a sunflower are arranged in spirals. If you count the spirals, you often get numbers like 21 and 34.
  • Honeycombs: Bees build their honeycombs using hexagons (six-sided shapes) that fit together perfectly with no gaps.
  • Zebra stripes: Each zebra has a unique pattern of black and white stripes, but the pattern of alternating stripes is the same idea.
  • Tree branches: A big branch splits into smaller branches, which split into even smaller ones. The same splitting pattern repeats at different sizes.
  • Waves: Ocean waves repeat in a rhythm. They come in, go out, come in, go out.

Unplugged Activity: Nature Pattern Hunt

Go outside (or look out a window) and try to find at least 5 patterns in nature. Here are some places to look:

  • Leaves on a plant (how are they arranged?)
  • Petals on a flower (how many? are they evenly spaced?)
  • Bark on a tree (do you see repeating lines or shapes?)
  • Clouds (do they form rows or groups?)
  • Shadows (do fence shadows make a repeating pattern?)

Draw or describe the patterns you find!

Patterns in Music

Music is built on patterns! Every song has a beat, and that beat is a pattern. Clap along to your favorite song and you will feel the pattern.

Musical Patterns

  • Beat: The steady pulse of a song. Tap your foot -- that is the beat pattern.
  • Rhythm: The pattern of long and short sounds. "LONG short short LONG short short" is a rhythm pattern.
  • Chorus: The part of a song that repeats. Verse, Chorus, Verse, Chorus -- that is a pattern!
  • Scales: Musical notes go up in a pattern (do, re, mi, fa, sol, la, ti, do).

Unplugged Activity: Clap a Pattern

Create a clapping pattern and teach it to your parent! Try these:

  • Easy: clap clap pause clap clap pause (repeat)
  • Medium: clap clap stomp clap clap stomp (repeat)
  • Hard: clap stomp clap clap stomp stomp (repeat)

Take turns! One person creates a pattern, the other has to figure out the rule and join in.

Talk About It

Ask your child: "Why do you think songs repeat the chorus? What would a song be like if nothing repeated?" Help them see that repetition makes things easier to follow and remember -- for people AND for computers!

Spot the Pattern Challenge

Try It: Can You Find All the Rules?

Pattern A:

A B C A B C A B ___
Answer: C! The rule is the group "A B C" repeating.

Pattern B:

1, 4, 7, 10, 13, ___
Answer: 16! The rule is "add 3 each time."

Pattern C:

big small small big small small big ___
Answer: small! The rule is "one big, two smalls" repeating. The next one after that would be "small" too.

Pattern D:

100, 90, 80, 70, 60, ___
Answer: 50! The rule is "subtract 10 each time." This is a decreasing pattern -- it goes down instead of up.

Check Your Understanding

1. What is a pattern?

Answer: A pattern is something that repeats in a regular, predictable way. When you know the rule, you can predict what comes next.

2. What is the "rule" of a pattern?

Answer: The rule is the instruction that tells you how to get from one part of the pattern to the next. For example, in the pattern 5, 10, 15, 20, the rule is "add 5."

3. Name two places you can find patterns in nature.

Answer: Any two from: snowflakes, sunflowers, honeycombs, zebra stripes, tree branches, waves, flower petals, leaf arrangements, spider webs, and many more!

Key Takeaways

Ready for More?

Next Lesson

In Lesson 2, you will practice completing and extending patterns -- filling in missing pieces and creating your own!

Start Lesson 2

Module Progress

Great job finishing Lesson 1! Three more lessons to go.

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