Patterns

Chapter 10B (Gr 9)

You will use these skills in household duties, urban planning, finance and company forecasting

You will be able to:

Prior Knowledge/Warm Up Activity:

Key Vocabulary:

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

New Knowledge:

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

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