Algebra L2 lesson 1 to 5

22
Algebra L2 Lessons 1-5 Wharekura

description

L2 Intro "Pedes".

Transcript of Algebra L2 lesson 1 to 5

Page 1: Algebra L2 lesson 1 to 5

Algebra L2 Lessons 1-5

Wharekura

Page 2: Algebra L2 lesson 1 to 5

Algebra – Level 2• What I need to know.

– continue a simple pattern– generalise the pattern– use the mathematical symbols

of =, <, > – partition numbers less than 10– know and use "teen" facts– solve addition problems by

making a ten, or making a decade

– solve addition problems involving measurements

– continue a sequential pattern– develop bar charts to show

relationships– draw the next shape in a pattern

sequence– see how the pattern continues

from one shape to the next– draw up a table of values– identify patterns in number

sequences– systematically “count” to

establish rules for sequential patterns

– use rules to make predictions

• What I can do.

Page 3: Algebra L2 lesson 1 to 5

Lesson 1• We are learning to:

– continue a simple pattern

– generalise the pattern

• How do I know when I have learnt this?– I am able to continue a

simple pattern.– I am able to make a

generalisation about the pattern that is accurate.

Page 4: Algebra L2 lesson 1 to 5

Lesson 1• On the planet Elsinore there

live a strange collection of insects. There is the Humped-Back Pede. The Humped Back 1-pede looks like this. 

• Can you see his eye? 

• Use powerpoint to make a Humped Back 3-pede with the green tiles.Underneath your insect, type in your generalisation about the pattern you see. Save your powerpoint as Algebra Week 7.

• Can you work our how many squares a Humped Back 4-pede has? Type in your answer under your generalisation.

And the Humped Back 2-pede looks like this. He has an eye too.

Page 5: Algebra L2 lesson 1 to 5

Lesson 1• On another slide, answer these

questions.• Can you tell me how many green squares

a Humped Back 5-pede will have?Can you tell me how many green squares a Humped Back 7-pede will have?Can you tell me how many green squares a Humped Back 10-pede will have?How many feet has a Humped-Back Pede with 12 squares?(The feet are the bottom squares).

• How many feet has a Humped-Back Pede with 18 squares?How many feet has a Humped-Back Pede with 20 squares?How did you work these out? Give a generalisation.

• Can you tell me how to get the number of squares that a Humped-Back Pede with a particular number of feet has?Can you tell me how to get the number of feet that a Humped-Back Pede with a particular number of squares has? (Write a maths sentence with ‘n’ as the number of square).

These are the feet.

Copy the questions and use a different colour for your answers.

Page 6: Algebra L2 lesson 1 to 5

Lesson 2• We are learning to:

– continue a simple pattern

– generalise the pattern

• How do I know when I have learnt this?– I am able to continue a

simple pattern.– I am able to make a

generalisation about the pattern that is accurate.

Page 7: Algebra L2 lesson 1 to 5

Lesson 2• There are other

insects on the planet Elsinore. They look as if they have been made up from squares. The ones with one foot are called 1-pedes. The ones with two feet are called 2-pedes and the ones with 3 feet are called 3-pedes.

Page 8: Algebra L2 lesson 1 to 5

Lesson 2• Did you know that

‘pede’ means ‘foot’?How many feet would a 4-pede have? What about a 5-pede?Tell me how many squares a 1-pede has?How many squares does a 2-pede have?What about a 3-pede?(Put the numbers of squares beside the insects). 

Copy the questions and use a different colour for your answers.

Hint: write the number of squares beside each Pede.

Page 9: Algebra L2 lesson 1 to 5

Lesson 2• Can someone tell

me what a 4-pede looks like?How many feet will it have?How many squares will it have?Can someone make one for me with these square tiles?Does everyone agree with you?

Copy the questions and use a different colour for your answers.

Hint: write the number of squares beside each Pede.

Feet

Page 10: Algebra L2 lesson 1 to 5

Lesson 2• How many squares

does a 5-pede have?

• What sort of Pede comes next?

• How many squares does a 6-pede have?

• Is there any pattern in the number of squares that Pedes have?

Copy the questions and use a different colour for your answers.

Hint: write the number of squares beside each Pede.

Feet

Page 11: Algebra L2 lesson 1 to 5

Lesson 3• We are learning to:

– continue a simple pattern

– generalise the pattern

• How do I know when I have learnt this?– I am able to continue a

simple pattern.– I am able to make a

generalisation about the pattern that is accurate.

Page 12: Algebra L2 lesson 1 to 5

Lesson 3• Here we are going

to explore the Spotted Pedes. This is what they look like.

• Talk about the number of squares they have and the number of blue and red squares. 

• Record these beside each of the Spotted Pedes.

1- S

potte

d Pe

de2-

Spo

tted

Ped

e

3- Spotted Pede

Page 13: Algebra L2 lesson 1 to 5

Lesson 3• Create the 4 – Spotted

Pede.• Answer these

questions.• How many red squares

does a Spotted 4-pede have?How many blue squares does a Spotted 4-pede have?How many squares all together?

• How did you work that out?Why are there more blue squares than red squares?

• How many more?

4- Spotted Pede

Page 14: Algebra L2 lesson 1 to 5

Lesson 3• Create the 5 and 6 –

Spotted Pede.• Answer these questions.• How many red squares

does a Spotted 5-pede have?

• 6-pede?How many blue squares does a Spotted 5-pede have?How many squares all together?

• How many blue squares does a Spotted 6-pede have?How many squares all together?

• How did you work that out?

4- Spotted Pede

Page 15: Algebra L2 lesson 1 to 5

Lesson 3• Challenge – • How many red

squares does a Spotted 10-pede have?

• How many blue squares does a Spotted 10-pede have?

10 - Spotted Pede

Page 16: Algebra L2 lesson 1 to 5

Lesson 3• What did you find

out about the Spotted Pedes?

• What patterns did you find?

• Make sure your answers are in the same powerpoint.

Page 17: Algebra L2 lesson 1 to 5

Lesson 4• We are learning to:

– continue a simple pattern

– generalise the pattern

• How do I know when I have learnt this?– I am able to continue a

simple pattern.– I am able to make a

generalisation about the pattern that is accurate.

Page 18: Algebra L2 lesson 1 to 5

Lesson 4• Here we are going to

explore the Big-Headed Pedes. This is what they look like.

• How many yellow squares does a Big-Headed Pede 4-pede have?How many yellow squares does a Big-Headed Pede 5-pede have?How many yellow squares does a Big-Headed Pede 6-pede have?

Do you need to draw the insects to work out how many squares they have? Why or why not?

Could you work out how many yellow squares a Big-Headed Pede 10-pede would have?

Page 19: Algebra L2 lesson 1 to 5

Lesson 4• What did you find out

about the Big-Headed Pedes?

• What patterns did you find? Think about the squares that make up the feet, and the squares that do NOT.

I saw a Big-Headed Pede with 16 yellow squares. How many feet did she have?

Feet

Page 20: Algebra L2 lesson 1 to 5

Lesson 5• We are learning to:

– continue a simple pattern

– generalise the pattern

• How do I know when I have learnt this?– I am able to continue a

simple pattern.– I am able to make a

generalisation about the pattern that is accurate.

Page 21: Algebra L2 lesson 1 to 5

Lesson 5• We are learning to:

– continue a simple pattern

– generalise the pattern

• How do I know when I have learnt this?– I am able to continue a

simple pattern.– I am able to make a

generalisation about the pattern that is accurate.

Page 22: Algebra L2 lesson 1 to 5

Lesson 5• Create a new powerpoint

called [Name]’s Pede.

• Create your own pede.

• Create the first three pedes.

• Save your powerpoint, then close it.

• COPY the file into your w_wharekura folder. Put it into a new folder called Algebra PPTs.

• I will put these into the Maths folder on the resources drive, and you need to complete pedes 4,5 and 6. Re-save the ppt and call it “Finished pede by [Your name]”. You should have saved 10 different pedes. Make sure these are in your algebra folder.