Mathematical Patterns and Functions

Unit 6: Patterns

Today I will identify rules for numeric patterns using my knowledge of addition, subtraction, and multiplication. 

So that I can make predictions about important numbers in my life. 

I’ll know I have it when I can complete a patterns Quizziz activity with 4/4 correct solutions

Word Cloud

What is a pattern?

Patterns

Predictable behaviors in numbers, objects, people, etc.

In math, we think of patterns in numeric lists, visual representations, shapes, and contextual problems where something is growing or shrinking in a consistent way.

Visual patterns can represent growing patterns. Assess how they are growing to predict what would come next!​

Concrete / Pictorial Patterns

Labelling

Match the rule to the pattern image:

Drag labels to their correct position on the image

Add 2

Add 4

A list of numbers that grows in a particular and consistent way (following a RULE)

Numeric Patterns

​Addition Rule Example: m + 3
3, 6, 9, 12, 15, __, __


Subtraction Example: d - 5
62, 57, 52, 47, 42, __, __


Multiplication Example: p x 2
18, 36, 72, 144, __,

Growing Addition Example:
10, 20, 35, 55, 80, __, __

Match

Match the rule to the pattern

• 1, 5, 25, 125, 625...

• 12, 16, 20, 24, 28...

• 81, 72, 63, 54, 45...

• 14, 27, 53, 105, 209...

5n

n + 4

n - 9

2n - 1

• 5n

• n + 4

• n - 9

• 2n - 1

Categorize

Options (6)

4, 6, 8, 10, 12...

75, 80, 85, 90, 95..

62, 56, 50, 44, 38...

100, 75, 50, 25, 0...

5, 10, 20, 40, 80...

3, 9, 27, 81, 243...

Match the pattern to its correct function:

​ ​

Addition (+)

Subtraction (-)

Multiplication (x)

Function machines are images that give you a rule for what goes in and comes out of the machine.

​

Function Machines

Draw

The function machine has a rule of +2. Label the function machine and fill out the in/out table for the function machine using the values:

3

8

12

Input/Output tables track the results of pattern rules based on what the starting numbers and results are.
The numbers in an input/output table MUST follow the same rules

​

Input/Output Tables

Multiple Choice

What is the rule for the numbers in this function table?

• x 2

• + 1

• + 3

• x 3

Quick Check

Multiple Choice

If this pattern keeps growing, how many marbles will there be at Step 9?

• 17

• 9

• 21

• 11

Dropdown

Which numbers belong in the blanks to continue this sequence?

3,462 3,412 3,362 3,312 3,262 ​

Select answer

​

Select answer

​

Select answer

Multiple Choice

What would be the correct value of A in this input/output table?

• 10

• 4

• 14

• 1

Categorize

Options (4)

24

12

38

5

Match the correct input to its output.

36

24

50

17

Poll

How are you feeling about patterns?