Download presentation

Published byJeremiah Joyce Modified over 4 years ago

1
Everything you need to know about in grade 6 Number Patterns

2
Using pattern rules to find outputs

3
**Pattern Rule: x3 -1 Input Output 1 2 3 2 5 8 (x 3 – 1) (x 3 – 1)**

4
Using input/output tables to find pattern rules

5
**x2 is Input Output 1 3 2 5 7 4 9 +1 I notice… +2 This means important**

for my pattern rule! 1 x 2 = 2 What can I do to get from 2 to 3? 2 x 2 = = 5 3 x 2 = = 7 4 x 2 = = 9 +1 Let’s see if x2 +1 works with the other inputs and outputs. Yes, I found my pattern rule!

6
Recursive Patterns

7
**+ 2 recursive pattern We can also find and extend patterns**

in a series of numbers. For example: 2, 4, 6, 8, 10… When we apply the pattern rule to the term instead of an input number we call it a recursive pattern Can you tell the pattern rule? + 2 For this pattern we must add 2 to each term in order to find the next term

8
**x2 -1 X 2 Recursive patterns can have pattern rules with**

more than one step OR +2 +4 +8 For example: 3, 5, 9, 17 These numbers are all multiples of 2 So… X 2 is important for our pattern rule Can you tell the pattern rule? Now to test my pattern rule x2 -1 5 x 2 = 10 – 1 = 9 9 x 2 = 18 – 1 = 17 It works! Here’s a trick: When you can’t figure out the pattern rule, compare the differences between terms If I check this, 3 x 2 = 6, but I want to get to 5 so I will then do -1 17 – 9 = 8, 9 – 5 = 4, 5 – 3 = 2

9
Growing Patterns

10
**We can use cubes to create patterns We call the first image Frame 1,**

the second Frame 2, etc.

11
**x2 is important What is the pattern rule? We can put this info.**

but I need to get to 1 2 – 1 = 1 Let’s test if x2 -1 is the pattern rule Frame 1: Frame 2: Frame 3: Frame 4: Yes! By putting the info in the drawings into a table, I found the pattern rule. I notice the outputs go up by 2 So… x2 is important What is the pattern rule? 2 x 2 = 4 – 1 = 3 3 x 2 = 6 – 1 = 5 4 x 2 = 8 – 1 = 7 We can put this info. into a table Frame # (Input) # of Cubes (Output) 1 2 3 5 4 7

12
Graphing patterns

13
**We can take the info. from our input/output table and graph it**

Can you tell how the ordered pair is created? Right! The input is the first number. The output is the second number. Input Output Ordered Pair 1 (1, 1) 2 3 (2, 3) 5 (3, 5) 4 7 (4, 7)

14
**on the x-axis (horizontal) and the second number **

Input (frame #) Output (# of cubes) Ordered Pair 1 (1, 1) 2 3 (2, 3) 5 (3, 5) 4 7 (4, 7) Reminder: In an ordered pair, the first number goes on the x-axis (horizontal) and the second number goes on the y-axis (vertical). 8 7 6 5 4 3 2 1

15
Finding Patterns in Rates

16
**If I jog an average of 10 km an hour, how much distance**

will I cover in 3 hours? Now I can plot this on a graph Let’s put this info. in a table Hours Distance Ordered Pair 1 10 km (1,10) +10 2 20 km (2,20) +10 3 30 km (3,30)

17
**I can see the path and visualize what comes next 1 10 km (1,10) 2**

Hours Distance Ordered Pair 1 10 km (1,10) 2 20 km (2,20) 3 30 km (3,30) I can see the path and visualize what comes next 40 35 30 25 20 15 10 5 KM Hours

18
**So… If you are given a graph, can you place the info. in**

an input/output table? If you are given info. in an input/output table, can you graph it? Do you use strategies to find pattern rules? If you are given info. drawn in frames, can you place it in an input/output table? If you are given info. about rates, can you graph it? If you answered yes to all five questions… WELL DONE!!!

19
Thanks for watching!

Similar presentations

Presentation is loading. Please wait....

OK

PSSA Preparation.

PSSA Preparation.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google

Ppt on fdi in retail sector 2012 Ppt on hindu religion history Training ppt on leadership Ppt on central limit theorem for dummies Ppt on bmc remedy user Ppt on computer languages 1gl Ppt online open section Ppt on power system restructuring Ppt on lost city of atlantis mystery Ppt on amplitude shift keying formula