lesson 3 algebra 1 generatesequences from practical contects

Entry Activity Count on and back in steps of 0.1, 0.2, 0.25, ½, ¼, ...

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Entry Activity Count on and back in steps of 0.1, 0.2, 0.25, ½, ¼, ...

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Today I will learn to:

Generate sequences from practical contexts and describe the rule Level 5

Challenge Objective:To find a term in a sequence from the rule Level 6

Key WordsSequence, Generate, Term, Common, Describe,

nth term

Check:

All will draw the next pattern in a sequenceMost will describe the sequenceSome will generate a future term without drawing the sequence

Count the number of matches in each drawing below, can you see a pattern?

Can we predict what the next pattern will look like? How many matches will there be?

Now we know the pattern, how can we find out how many matches will be in pattern 10?

Level 5 drawing

and describing

Level 6finding

10th and 20th

pattern from the

rule

Answers

1 10th pattern 31 matches, 20th pattern 61 matches2 10th pattern 51 matches, 20th pattern 101 matches3 10th pattern 32 matches, 20th pattern 62 matches4 10th pattern 41 matches, 20th pattern 81 matches5 10th pattern 42 matches, 20th pattern 82 matches6 10th pattern 42 matches, 20th pattern 82 matches

Using your planners show me how you found this

Today I will learn to:

Generate sequences from practical contexts and describe the rule Level 5

Challenge Objective:To find a term in a sequence from the rule Level 6

Key WordsSequence, Generate, Term, Common, Describe,

nth term

Check:

All will draw the next pattern in a sequenceMost will describe the sequenceSome will generate a future term without drawing the sequence

Look at the following pattern, how is it different to the last few we have looked at?

What is the difference between each pattern?

What is the next pattern?

What is the rule?

How many blocks are in pattern 10?

Extension Task – These patterns are a bit more tricky!

Answers

1 a 25 b 1002 a 15 b 553 a 30 b 110

Using your planners show me how you found this

Today I will learn to:

Generate sequences from practical contexts and describe the rule Level 5

Challenge Objective:To find a term in a sequence from the rule Level 6

Key WordsSequence, Generate, Term, Common, Describe,

nth term

Check:

All will draw the next pattern in a sequenceMost will describe the sequenceSome will generate a future term without drawing the sequence

PlenaryPick a box from below to copy and

complete in your book

Today the most important thing I have

learned is...

Next time I do a this topic I will make sure I...

One thing I need to remember from today's

lesson is...

One thing I have found hard today is...

To print out if wanted as a worksheet

Level 5 drawing

and describing

Level 6finding

10th and 20th

pattern from the

rule

Extension Task – these patterns are a bit more tricky!