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Generate Number Patterns (Sequences That Follow a Given Rule)
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What you will learn from this videoWhat you will learn
- How to identify patterns in a series of shapes or numbers.
- We can generate number patterns from a given rule, using operations like addition and multiplication.
- That number patterns can help us with road trips, science experiments and it can even helps us understand lightning!
- Discussion Questions
Before Video
What comes to mind when you hear the word “pattern”?ANSWERSomething that happens again and again, like getting up in the morning and going to sleep at night; a template for needlework or other crafts, like a pattern for a zigzag edge; the stripes on someone’s shirt, which may alternate between two colors
The ceiling tiles are all rectangles, they just move across the room; the bricks in the wall aren’t always whole at the corner of the room, they alternate between whole and half each row; the mini-blinds are like small line segments, with space in between each one
4, 6, 8, 10, 12, 14, …
Double 5 is 10. Plus 1 makes 11.
19, 16, 13, 10, 7, 4, 1
After Video
What advice would you give a student who was absent today about how to figure out shape patterns?ANSWERLook for descriptions of the direction an object points, where the curves and line segments are, where new pieces are, or for missing or empty parts of a figure.
Increasing by 5s: 5, 10, 15, 20; decreasing by 5s: 20, 15, 10, 5.
Multiply by three: 1, 3, 9, 27, 81; divide by ten: 1,000, 100, 10, 1.
The second rule has two steps. If you double 3 you get 6, but if you double 3 and add 10 you get 16.
"Multiply by 2” goes on forever; a fuel gauge goes down as a car drives, and stops when the gas tank is empty.
- Vocabulary
- Sequence DEFINE
Shapes or numbers in a certain order.
- Pattern DEFINE
Numbers, objects, or shapes arranged following a rule or rules.
- Repeating pattern DEFINE
A rule that gets used over and over.
- Increasing pattern DEFINE
A pattern where each new number is more than the previous one.
- Decreasing pattern DEFINE
A pattern where each new number is less than the previous one.
- 2D Shape DEFINE
Flat shapes made by straight or curved lines. Some examples of 2D shapes are circles, squares, rectangles, and triangles.
- Side DEFINE
one of the line segments that make a 2D shape. A triangle has 3 sides.
- Sequence DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide
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Level 1
A pattern shows a triangle, rectangle, and pentagon. What is the next shape in the pattern? Explain.
Level 2
What are the next two numbers in the pattern? Explain how you know. 3, 6, 10, 20, 24, 48, 52, ____, ____
Level 3
Adam starts a pattern in sidewalk chalk. He tells Brianne that she can fill in the next number in the pattern using the rule “double plus 1.” What number should Brianne write? 1, 3, 7, 15, ____. Brianne starts another pattern with a new rule. She tells Adam he can fill in the next number, but there’s a challenge! Her rule is a little bit like the one he used, but it’s definitely not the same. What number should Adam write? What is Brianne's rule? 1, 6, 26, 106, ____.
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