Monday, 31 October 2011

Tues 1st Nov: Toolkit test, Answers and revision

LEARNING OBJECTIVE: To Find out which topics in Toolkit test you need to work on

SUCCESS CRITERIA: You will learn which of the 10 skills in Toolkit you will need to revise.

LESSON: Give students as long as they need to answer all Toolkit Test questions

Swap over answer papers and work through with students marking the papers.

If any time left in lesson.

PLENARY: Checking and marking test.

Wednesday, 19 October 2011

Fri Oct 21st – Toolkit test and test marking / review

LEARNING OBJECTIVE: Test for Maths Toolkit and then peer marking of Unit 1 Test

SUCCESS CRITERIA: You will know what Toolkit topics you need to improve on for next toolkit test, you will know which topics from Unnit 1 you need to do some extra work on

STARTER: Quickly Get organised and hand out toolkit tests

LESSON: Students use first lesson to complete the toolkit test, After lunch (or before if time) look at peer marking of the toolkit test feeding results back to students.

If any spare time hand out Unit 1 test scripts and continue to peer mark them

PLENARY: Students will know their test results and be able to pout into their planners what they need to improve upon before next test cycle in December

Tuesday, 18 October 2011

Weds Oct 19th – Ordering Decimal numbers

LEARNING OBJECTIVE: Learn How to order decimal numbers

SUCCESS CRITERIA: You will be able to sort decimal numbers into arithmetic order and also be able to recognise when one decimal is bigger (or smaller) than another decimal

STARTER: Put these decimal numbers into order

LESSON: Work through this lesson, play Ladder game a few times

Now work through this worksheet to put each row of decimals into order

PLENARY: After Checking answers play Three in a Row Decimals Game in pairs – each pair needs two dice

Thursday, 13 October 2011

Fri Oct 14th – Surface area of Cuboids (Continued)

LEARNING OBJECTIVE: To find the total surface area of a cuboid

SUCCESS CRITERIA: You will be able to find the surface area of a cuboid givens its length, width and height

STARTER: What is the surface area of these Cubes?

  1. A cube length 3cm
  2. A cube length 5cm
  3. A cube length 10cm
  4. A cube length n cm

LESSON: Remind students using the card cuboid how to unfold a cuboid and put the lengths on the appropriate sides, then work out the area of the SIX rectangles, before adding them up to find the Total Surface Area.

PLENARY: Checking answers as we work through questions.

Wednesday, 12 October 2011

Thurs 13th Oct – Surface Area of a Cuboid

LEARNING OBJECTIVE: To understand what is meant by the surface area of a cuboid and work out the total surface area of a cuboid

SUCCESS CRITERIA: You will be able to explain to someone what the surface area of a cuboid is and be able to work out the total surface area of a cuboid if you know its length, width and height.

STARTER: Work out the area of these rectangles

  1. Length 4cm, width 5cm, Area = 20 cm2
  2. Length 12cm, width 7cm, Area = 84 cm2
  3. Length 2.5m, width 6m, Area = 15 m2
  4. Length 5m, width 2.4m, Area = 12 m2
  5. Length 2.6 cm, width 1.4m, Area = 3.64 cm2
  6. Length 4.3cm, width 5.6cm, Area = 24.08 cm2
  7. Length 420m, width 565m Area = 237,300m2

LESSON: Use screens 1 and 2 from this Mymaths lesson to introduce the idea of unfolding a cube

Use next two screens to look at unfolding a cuboid.

Use The IWB To Look at a 3cm x 5cm x 6cm cuboid and show how to unfold it and work out the area of each face. Then add up all six faces.

Repeat with another example if necessary

Work through Surface area of Cuboids worksheet

EXTENSION QUESTIONS:

  1. Without drawing the net can you work out the Surface area of a cube 5cm or 8cm or 12cm
  2. Can you write down a rule to work out the surface area of any cube

PLENARY: Check student's answers. Use five finger feedback for

1. Unfolding a cuboid (working out the net),

2. Working out the surface area of a cuboid.

Tuesday, 11 October 2011

Weds OCt 12th More work on Area and perimeter

LEARNING OBJECTIVE: To use the knowledge we have of perimeter and area of rectangles to solve area and perimeter problems on compound shapes
SUCCESS CRITERIA: You will be able to find the perimeter and area of compound shapes
STARTER: Work through these wordy perimeter problems. You just have 5 mins 14 secs (the theme tune to Indiana Jones) to complete as many as possible
LESSON: Draw some compound shapes on IWB with lengths missing and work through finding the perimeter and area of them with students
Work through this worksheet finding the area and perimeter of each shape
PLENARY: Checking work as I wander around tables
EXTENSION CHALLENGE (Page 5 from this document)
PLENARY: Feedback from students on 1) Perimeter of rectangle, perimeter  of compound shapes, area of rectangle, area of compound shape

Thursday, 6 October 2011

Fri OCT 7th – Perimeter

LEARNING OBJECTIVE: Discover how to find the perimeter of rectangles and complex shapes made out of rectangular shapes.

SUCCESS CRITERIA: You will be able to work out missing lengths on complex shapes and subsequently find the perimeter of the shapes

STARTER:

A Farmer has 300m of fencing and needs to create a rectangular pen for his sheep.

What will the length and width have to be to create the largest possible pen for the sheep. Give students 10 mins to work on their solutions. Get students up to IWB to explain their solutions.

Tease out the maximum Area.

What is the largest area the farmer can have with 400m of fencing? What shape will the pen be?

Can you describe how to find the largest area given a set length of fencing?

LESSON: Do a quick reminder of perimeter with this MyMths Lesson, Use screen 5 a few times to generate different problem.

Work through these problems and then these problems

EXTENSION PROBLEM: The farmer has another 500m metres of fencing which he wants to create a pen up against a dry stone wall. The fencing only needs to make three sides now as the wall is the fourth side.

What is the largest pen he can make with this amount of fencing?

Can you work out a set of rules that the farmer can use for any length of fencing he has to build a pen up against a wall?

PLENARY: Checking Answers, Student feedback, Set Homework for Next Week

Wednesday, 5 October 2011

Thursday 6th Oct – Area of a rectangle

LEARNING OBJECTIVE: To understand what is meant by area and to work out how to quickly find the area of a rectangle

SUCCESS CRITERIA: You will be able to explain what area is and be able to work out the area of any rectangle given its width and length. Some of you will also be able to work out a length (or width if you know the area.

STARTER: Square it Game on paper in Pairs. Use this Onscreen Version of the game to demonstrate the rules. ON the dotty paper provided divide into grids that are 7 dots by 7 dots. And play the game a few times with another student. If you think you can beat the computer. Come up and have a go in the IWB

LESSON: Work through this Mymaths Lesson on Area of a rectangle.

Copy and complete all the gaps in the following table in the following table

Length

Width

Area

Perimeter

5m

3m

 15m2

   

7cm

9cm

  63m2

   

13cm

11cm

  143m2

   

6.5m

3.2m

  20.8m2

   

3.7cm

5.6cm

  20.72m2

   

1.5m

25cm

  37.5m2

   

   

   

   

   

5m

  12m

60m2

   

  7m

8cm

56cm2

   

25cm

  80cm

2m2

   

  
 

Check answers and Discuss results. Especially where units differ!!

EXTENSION: Fill in the final column which is the Perimeter of each rectangle

PLENARY: Checking answers, Use traffic light cards from planners to show confidence on finding area of a rectangle.

Thursday 6th Oct – Area of a rectangle

LEARNING OBJECTIVE: To understand what is meant by area and to work out how to quickly find the area of a rectangle

SUCCESS CRITERIA: You will be able to explain what area is and be able to work out the area of any rectangle given its width and length. Some of you will also be able to work out a length (or width if you know the area.

STARTER:

Tuesday, 4 October 2011

Weds Oct 4th – Generating a sequence from the nth term rule

LEARNING OBJECTIVE: Understanding and use nth term rules to generate and describe sequences

SUCCESS CRITERIA: You will be able to generate a sequence given its nth term rule and also be able to work out and nth term rule from a sequence

STARTER: Have a go at this starter

LESSON: Look at these sequences

Can we work out the 100th term?

Can we work out any term just by knowing what position it is in?

 Copy and Complete these sequences:

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

100th 

11 

  

  

  

... 

???? 

 
 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

100th 

12 

17 

22 

27 

  

  

  

... 

???? 


 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

100th 

-2 

10 

  

  

  

... 

???? 


 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

20th

100th

4

6

8

10

12

  

  

  

... 

  

      


 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

20th

100th

-1

2

5

9

13

17

  

  

... 

  

      


 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

20th

100th

11

21

31

41

51

  

  

  

... 

  

      


 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

20th

100th

9

14

19

24

29

  

  

  

... 

  

      


 


 


 


1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

20th

100th

-2

2

6

10

14

  

  

  

... 

  

      


 


 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

20th

100th

2.5

5

4.5

10

12.5

  

  

  

... 

  

      


 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

20th

100th

15 

21 

27 

33 

  

  

  

... 

  

      


 


 


 

Use above answers to establish a method of working out the nth term rule. Use this Mymthas Lesson if Necessary.

What is the nth Term for each of these sequences:

  • 2, 4, 6, 8, 10.....
  • 3, 8, 13, 18, 23, 28, ...
  • 6, 8, 10, 12, 14
  • 3, 7, 11, 15, 19, 23
  • -1, 0, 1, 2, 3, 4
  • -1, -2, -3, -4, -5, -6
  • -2, -4, -6, -8, -10
  • 1, 6, 11, 16, 21, 26,


     

PLENARY: Checking Answers, feedback from students on confidence using 5 finger feedback