Patterns
Chapter 10B
Chapter 10B
You will use these skills in household duties, urban planning, finance and company forecasting
You will be able to:
Identify a pattern
create a rule from a pattern
Use and read input/output tables
Prior Knowledge/Warm Up Activity:
Key Vocabulary:
Input, output, rule, formula
Answer:
Read the problem first...
Find all of the important information: ladders, same length, increasing pattern
Find the instruction: How many pieces needed
i) 4 rung: find the pattern (increasing by 3) from 11 pieces
1 2 3 4
5, 8, 11, 14
ii) 5 rung: +3 17 pieces
iii) 12 rungs: counting from n=1 to 12 = 38 pieces
same as Un = Un-1 + 3
next ans previous ans
slow way, can do this quicker
12 rungs = Un = U0 + 3 x 11
U12 = 5 + 33 = 38 pieces of metal
b) let m represent # metal pieces and r represent # rungs
5 + 3 x r(n-1) = m
1st rule - expression is 2 x input, difference is +2
2nd rule - 3 x exp. + 1, difference is +3
Let's go through some more.....
Notes:
Find the pattern from the input (initial number) by using standard operations to calculate the output
Find the difference in each output number and search for the common multiple or divisor
Always check your rule
2 things to remember; need a starting number or value and an operating value
Textbook Questions: Chapter 10B Qu 1- 2
A number is multiplied by 2 then subtracted from 3. Write this rule in mathematical notation
Create a mindmap in your summary book highlighting all of the key vocabulary words and provide examples
Create a problem to solve