Term Numbers and Term Values Mr Hendy Industries

Term Numbers and Term Values Mr. Hendy Industries

Learning Goal WALT: Determine a term value from a given term number

Success Criteria ISWIC: Determine the 57 th term of a pattern

So, what is a TERM? A TERM is a location in a pattern

So, let’s look at a simple pattern

3, 6, 9, 12…

Do you notice anything now that we have the pattern in a table? Term Number Term Value 1 3 2 6 3 9 4 12

Do you notice anything now that we have the pattern in a table? Term number times 3 or nx 3 or Term Number Term Value 1 3 2 6 3 9 4 12 3 n

What is the pattern? Term Number Term Value 1 5 2 10 3 15 4 20

Term Number Term Value 1 5 2 10 nx 5 3 15 5 n 4 20 What is the value of the 57 th term? Term number times 5

What is the pattern here? Term Number Term Value 1 7 2 12 3 17 4 22

Term Number Term Value 1 7 2 12 nx 5+2 3 17 5 n + 2 4 22 What is the 57 th term? Term number times 5 plus 2

What is the pattern? Term Number Term Value 1 8 2 15 3 22 4 29

Term Number Term Value 1 8 2 15 nx 7+1 3 22 7 n + 1 4 29 What is the 57 th term? Term number times 7 plus 1

What is the pattern? Term Number Term Value 1 4 2 10 3 16 4 22

Term Number Term Value 1 4 2 10 n. X 6– 2 3 16 6 n - 2 4 22 What is the 57 th term? Term number times 6 minus 2

How we represent patterns Term number times 2 minus 1 2 n - 1 Term Number Term Value 1 2 3 4 1 3 5 7

Make a value table for the following patterns and do two things: 1. figure out the pattern rule using a variable expression th 2. identify the 57 term

1. 3, 7, 11, 15… 2. 11, 21, 31, 41… 3. -5, 0, 5, 10… 4. 11, 14, 17, 20… 5. 8, 20, 32, 44… 6. 21, 30, 39, 48… When done, create a pattern using shapes Represent this pattern using words, numbers, and a table

1. 4 n - 1 2. 10 n + 1 3. 5 n – 10 4. 3 n + 8 5. 12 n - 4 6. 9 n + 12 Let’s see some patterns. Who wants to come up and show us all?

Now for some independent practice