Wednesday, 14 December 2011

Thurs Dec 15th – Algebra - Substitution

LEARNING OBJECTIVE: You will discover how to substitute values into an equation and find the answer using the rules of BODMAS

SUCCESS CRITERIA: You will be able to find the answer to an algebraic expression given the val;ue of all the variables in that expression

STARTER: BODMAS Song

LESSON: Continue using this lesson to develop Algebra and Substitution skills

Use section 21 from this text book for more practise

PLENARY: Checking answers, feedback from students

Sunday, 4 December 2011

Mon Dec 5th – Mean from a Grouped Frequency Table

LEARNING OBJECTIVE: Learn how to find an approximation of the mean from a grouped frequency table

SUCCESS CRITERIA: You will understand why the mean from a grouped frequency table is always an approximation and know how to find it

STARTER:

LESSON: Quickly work through Screens 1,2,3,4 to recap a frequency table. Then work thorugh all but last screen to develop ideas for mean from a grouped frequency table;

Why is it an approximation?

Discrete Data and Continuous data and the notation that goes with it

Work through Ex 1C on page 9 of higher text book

PLENARY: Checking Asnwers, Looking at Exam Questions, checking answer to Why is it an approximation


 


 


 

Wednesday, 23 November 2011

Thurs 24th Nov- Exploring Higher Linear topics to discover which areas to focus on

LEARNING OBJECTIVE: to decide on topics to cover by attempting to answers some past exam papers

SUCCESS CRITERIA: You will know what areas of weakness to work on over the next few months

STARTER: Maths Rocks-Angles, Bodmas Song

LESSON: Use copies of 2009 Paper 3H (Non Calculator Paper 1). Mark Scheme

Let students work through exam questions for 30/35 mins. Support whilst working

PLENARY: . Go through answers with them, try and engage in dialogue and make notes (use lesson blog comments!) on any topics that will need further work.

Grade
Boundaries

    

 

    A*

A

B

C

D

E

Paper 3

85

68

51

34

20

13

Paper 4

91

73

54

36

20

12


 

PLENARY: Ask for students comments about lesson – how improve for them, any weak topics to consider, homework schedule...

Tuesday, 22 November 2011

Weds Nov 23rd – Area of Triangles, Parallelograms and Trapeziums – (Level D)

LEARNING OBJECTIVE: Discover how to find the area of Triangles, Parallelograms and Trapeziums

SUCCESS CRITERIA: You will be able to solve problems involving perimeter and area of Triangles, Parallelograms and Trapeziums

STARTER:

Calculate the areas and perimeters of rectangles measuring;

  • 3cm by 3cm
  • 6cm by 8cm
  • 9cm by 3.4cm
  • 8.4cm by 9.3cm
  • 1.2 metres by 80cm
  • 160cm by 0.9 metres.

LESSON:

Reminder on how to find the area of:

  1. A triangle
  2. A parallelogram

Have a go at Question 1 to 7 on worksheet

Show how to use Trapezium area formula = ½(a + b) x h

Have a go at rest of questions on worksheet

PLEANRY: Check Answers with students as they work, Use an Exam Pro Question in last 10 mins to check understanding of Triangles and Parallelograms

Thursday, 17 November 2011

Fri Nov 18th - Fractions and Decimals

LEARNING OBJECTIVE: Discover the relationship between fractions and decimals.

SUCCESS CRITERIA: You will be able to convert Fractions to Decimals and Convert Decimals To Fractions

STARTER: Can you write down the decimal equivalents to the following fractions

  1. ½
  2. ¼
  3. ¾
  4. 10
  5. 2/10
  6. 3/10
  7. 4/10
  8. 5/10
  9. 6/10
  10. 7/10
  11. 8/10
  12. 9/10

LESSON: Give answers to above. Then work through this Lesson. (first 5 screens)

Encourage participation in the matching grids.

PLENARY: Check all know ½ , ¼ , ¾, all tenths and all fifths – copy the lists into exercise book.

What about 20th's? Use calculators to work out what 1/20th is – use this to show fractions buttons on calculator, also use Mymthas lesson to show how a fraction is a shorthand way of writing a division sum.

List all twentieths

List all eights

List all 25ths

PLENARY: Checking answers, feedback on confidence using some sample sums on IWB and getting five finger feedback

Tuesday, 15 November 2011

Weds 16th Nov – Consolidation of Matching – Corrections from Homework -

LEARNING OBJECTIVE: Review Matching homeworks – compare with requirements for Exam questions

SUCCESS CRITERIA: You will be aware of what to include in an A* Exam question on Matching's.

LESSON:

Review of Homework. Take note of the following

  1. Must include the alternate paths you have considered
  2. Must include new matching's
  3. Must include any intermediate positions in ,matching's (Eg if more than two pairs of unmatched)
  4. Must include the final complete matching or best matching plus a reason why complete matching not possible
  5. Use homework questions to demo above
  6. If any time left then start working through Examination Style paper on page 173 of text book (Photocopy masters provided for questions 1, 4, 5, 7, and 8

Weds 16th Nov – Consolidation of Adding Fractions with Different Denominators

LEARNING OBJECTIVE: Adding more difficult fractions by finding equivalent fractions

SUCCESS CRITERIA: You will be able to add fractions

STARTER: Can you complete Task C

LESSON: Check answers to Task C. Use the answers to revise and develop the idea of adding fractions by finding equivalent fractions with Lowest Common Denominator. Use this IWB tool if needed to help students who still struggling

Have a go at these questions

EXTENSION: Final Screen of This MyMaths lesson. – Fractions Magic Square

PLENARY: Checking Answers, five finger feedback from students

Wednesday, 9 November 2011

Thursday 10th Nov – Past Paper revision

LEARNING OBJECTIVE: Exam Question revision

SUCCESS CRITERIA: Pass grade next weeks exam

Use May 2010 Module 5 Paper 2 Foundation with students to revise for next week's exam

Students to have a go at questions then work through questions with them.

Stop all students to go through any topics as neccesary

PLENARY: Checking answers, revision of topics, discussion on exam technique

Wednesday, 2 November 2011

Thurs Nov 3rd – Mock Exam Paper

Students to work through March 2011 Unit 2 Higher paper in exam Conditions

Tuesday, 1 November 2011

Weds Nov 2nd – Revision Using Practice Paper 3 Questions

LEARNING OBJECTIVE: Analysis and revision from Practice Paper 3

SUCCESS CRITERI: All understand how marks were allocated and understand how to tackle and answer level B A and A* questions

STARTER: Have a go at These 4 Revision Questions

LESSON: Work through Exam Questions From Practice Paper 3 exam paper, explaining how marks are allocated, errors that were made.. Where appropriate give students other example questions to have a go at

PLENARY: Checking on Student confidence

Weds Nov 2nd – Lots of Exam Question Practice

LEARNING OBJECTIVE: Lots of Exam Question Practice

SUCCESS CRITERIA: You will be able to answer exam questions

LESSON: Hand out these exam questions. Students to work through questions.

PLENARY: GO Around room marking each questions / checking answers support their revision ...

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.

Sunday, 30 October 2011

Monday 31st Oct – Collecting Data Using a Tally Chart

LEARNING OBJECTIVE: Discover how to accurately record data in a tally chart when collecting information

SUCCESS CRITERIA: You will be able to Accurately record data in a tally chart to create a frequency table

STARTER: Use the sorting Screens (1,2,3,4) From this MyMthas Lesson as a starter

LESSON: Work through screens 5,6,7 of this MyMthas Lesson, introducing the idea of collecting data using a tally chart.

Now use the tables provided to tally the following data

  1. Month of Birthday
  2. Shoe Size
  3. Eye Colour
  4. Number of brothers and sisters.

Complete the tally charts one at a time allowing students to wander around asking each other, Give them 7 / 8 mins for Each table then check the results with the students

EXTENSION
WORK

Alphabet Tally, Pokemon Data

PLENARIES: Checking tally charts with students when they have collected data, Feedback from students using five finger feedback

Wednesday, 19 October 2011

Fri Oct 21 – Solving Linear Programming Problems

LEARNING OBJECTIVE: To Understand how to use a mix of graphing techniques and algebra to solve linear programming problems

SUCCESS CRITERIA You will be able to solve Linear Programming Problems

LESSON 1: Work through this MyMaths Lesson to show how to find the minimum or maximum point from the Object Line and then use Simultaneous equations to work out exact values and the final Maximum or minimum values.

You should now be able to solve Ex 6B

LESSON: 2 Work through this second Lesson which looks at The Vertex method and consides integer solutions

You should now be able to solve Ex 6c and 6D

Homework: 6a, 6b, 6c, 6d plus Q8 page 164, q 18 page 167 and q 21 page 169

 

Thurs OCT 30th – Unit 1 test

Today students will work through the test for Unit 1.

If any time at end of lesson we will look at some questions, marking them together, they will mark someone else's test paper

Tuesday, 18 October 2011

Tues 18th & Weds 19th – Mock Exam Using June 2011 Exam Paper

Students to sit papers in as near exam conditions as possible. Have some extra work handy for those that finish early

Monday, 17 October 2011

Tues 18th OCT – Solving Money Problems

LEARNING OBJECTIVE: Practice solving money problems including change from a £1 questions

SUCCES
CRITERIA: You will be able to solve money problems

STARTER: Starter of the Day Money Investigation

LESSON Use Fireworks Shopping Questions to practice shopping bills and change questions

Give students a chance to play on this money game during lesson whilst others are working

PLENARY: Checking Answers, using Money game to look t change questions

Tuesday 18th OCT – Pie CHarts

LEARNING OBJECTIVE Discover how to read information off a Pie Chart and create a pie chart from a frequency table

SUCCESS CRITERIA: You will be able to interpret data and results from pie charts and create a pie chart from a frequency table

USEFUL
TOOLS – Interactive Pie Chart From Virtual Manipulatives, Interactive Pie Chart in Notebook Software

STARTER: Work out the answer to these fraction questions


 


 

  1. What is ½ of 16
  2. What is ½ of 24
  3. What is ½ of 30
  4. What is ½ of 38
  5. What is ½ of 46
  6. What is ½ of 56
  7. What is ½ of 84
  8. What is ½ of 92
  9. What is ¼ of 20
  10. What is ¼ of 28
  11. What is ¼ of 44
  12. What is ¼ of 80
  13. What is 1/3 of 21
  14. What is 1/3 of 27
  15. What is 1/3 of 36
  16. What is 1/3 of 45
  17. What is 1/3 of 60
  18. What is 1/3 of 90
  19. What is 1/5 of 10
  20. What is 1/5 of 25
  21. What is 1/5 of 30
  22. What is 1/5 of 40
  23. What is 1/5 of 100
  24. What is 1/7 of 14
  25. What is 1/7 of 35
  26. What is 1/7 of 140
  27. What is 1/9 of 18
  28. What is 1/9 of 90
  29. What is 1/6 of 60
  30. What is 1/6 of 180

Lesson: Use this Starter of the Day to remind students to think about proportions on a pie chart.

Have a go at these questions

Now can you work out these questions. Use the fractions to help you get the exact answers NOT Guesses.

Can you Draw a Pie chart of the following data, Use a compass, Ruler and Pencil to draw your Pie Charts neatly.

Pie Chart 1

Favourite Crisps

Favourite Crisps

Number of Votes

Cheese and Onion

12

Roast Chicken

12

Salt n Vinegar

24

  
 

Pie Chart 2

Colour of Socks

Frequency

Red

15

Black

5

Blue

5

Green

5

  
 

Pie Chart 3

Travel to School

Frequency

Car

20

Walk

20

Bike

12

Motor Bike

2

Skate Board

2

Minibus

4

  
 

PLENARY: Look at answers to above using on screen tools. Get student feedback on confidence


 

Saturday, 15 October 2011

Mon Oct 17th – Money questions

LEARNING OBJECTIVE: Recognise all coins and add and subtract them using change from a pound.

SUCCESS CRITERIA: You will know all the different coins we have and be able to add up shopping lists and work out change from a pound

STARTER: Use this random Coin Cards to do 10 quick Money Additions, then 10 double card additions

LESSON: Using Electronic Coins to generate some shopping lists, IN the first instance do change from 50p questions, then change from £1 questions.

Now work out all these money problems

EXTENSION WORK: Fireworks Shopping Questions

PLENARY: Checking answers throughout the lesson, then play this money game – as many people as possible to the iwb to have a go


 

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.

Tuesday, 11 October 2011

Fri Oct 14th - Scheduling

LEARNING OBJECTIVE: Understand and use GANTT charts to enable a project to be scheduled in the most efficient way possible

SUCCESS CRITERIA: You will be able to allocate workers to a project in order to complete the project in the minimum time with the minimum number of works. You will also be able to adjust the GANTT chart and schedule should any critical activities not complete on time.

LESSON: Work through this Mymaths Lesson to develop the ideas of scheduling.

Use the printouts of the network on screen 5, and the Gantt charts on screen 6 & 7 to help students answer questions

Now Work through Ex 5H Page 108

HOMEWORK: Ex 5F, 5G, 5H Plus q 4 & 5 from Mixed Exercise page 111

Monday, 10 October 2011

Tues Oct 11 – Writing out Sequences

LEARNING OBJECTIVE: To Work out the rule for a sequence and then add more numbers to the sequence

SUCCESS CRITERIA: You will be able to work out the rule for a sequence and extend the sequence.

STARTER:

Can you add 5 more numbers to these sequences?

  1. 1, 2, 3, 4, 5, 6,
  2. 2, 4, 6, 8, 10
  3. 1, 3, 5, 7, 9
  4. 10, 9, 8, 7, 6,
  5. 100, 90, 80, 70, 60

LESSON: Use this MyMaths lesson to build a sequence form a strating number and rule

Look at these sequences.

Can you spot the rule?

Can you copy these sequences and add three more numbers to the sequence

  1. 5, 8, 11, 14, 17,
  2. 3, 9, 15, 21, 27,
  3. 2, 7, 12, 17, 22
  4. 45, 43, 41, 39, 37
  5. 90, 85, 80, 75, 70
  6. 8, 17, 26, 35,
  7. 30,27,24,21,18
  8. 30, 50, 70, 90, 110

PLENARY: Checking answers

Sunday, 9 October 2011

Mon Oct 10th – Building a Cumulative Frequency Table and then Drawing the Cumulative Frequency Curve on a Graph

LEARNING OBJECTIVE: How to Add a cumulative Frequency Column to a Frequency Table and then draw the Cumulative Frequency Graph

SUCCESS CRITERIA: You will be able to add a cumulative Frequency Column to a frequency table and then draw the resulting Cumulative Frequency Curve.

STARTER: Use Screen 1 from this MyMthas Lesson

Cumulative Frequency Videos

LESSON: Use screens 2 – 4 to recap cumulative Frequency Curves and finding the median from the cumulative frequency.

Move on to This Mymaths Lesson to look at Cumulative Frequency From Grouped Data

Lots of Practice from this Worksheet. For each Table wirte down the Median value from your graph

PLENARY: Checking answers on MyMthas Screens, going around tables to check answers from Worksheet

Mon Oct 10th: Drawing Bar Charts

LEARNING OBJECTIVE: To understand how to draw a bar chart accurately and interpret the results from a bar chart

SUCCESS CRITERIA: You will be able to draw accurately a bar chart representing data that you have in a frequency table, and also interpret information from a bar chart

STARTER: Have a go at this Newspaper Bar Graph Question

Check Answers to Starter question with students.

LESSON: Use this MyMthas Lesson to revise / Recap Bar Charts.

Work through Questions 2,3,4 & 5 From Ex 1 C in Foundation text book pages 11 and 12

PLENARY: Checking answers, Supporting students at their tables.

Mon Oct 10th - Sequences

LEARNING OBJECTIVE: Discover the rule for a sequence of numbers and extend the sequence using the rule

SUCCESS CRITERIA: You will be able to spot how a sequence is built up and then extend the sequences using the pattern you have spotted

STARTER: Use this Notebook file to start students thinking about matchstick sequences.

  1. Can you draw Patterns 5, six and seven
  2. Copy this table and complete the Matchsticks in pattern column
  3. Can you work out how many Matchstick's there will be in patterns 8, 9 and 10 without draw the patterns
  4. What is the RULE to find the next pattern

LESSON: Use this Matchstick Pattern drawing tool to show more sequences for students to complete

Pattern 1: Triangles

Pattern 2: Hexagons

Pattern 3: Rectangles

Pattern 4: Big Squares

For each pattern get students to sketch 1st 5 patterns in exercise books, then make a table of pattern number and number of matchsticks in each pattern, then WITHOUT drawing patterns write down next three numbers. Finally what is the rule

EXTENSION: Can you make a new matchstick pattern up of your own.

  1. Draw the first 5 patterns
  2. Make a table show the number of matchsticks in each pattern
  3. Extend your table without drawing the patterns

What is the rule for your pattern?

PLENARY: Get students to write down in their exercise books these two Sentences:

In today's lesson I learned...

To improve tomorrow I must....

Tuesday, 4 October 2011

Weds Oct 5th – Metric Units

LEARNING
OBJECTIVE: You will leanr ho to convert from one metric unit to another one.

SUCCES
CRITERIA: You will be able to convert between the following units:

  • Cm to m
  • M to km
  • g
  • to kg
  • ml to l
  • mm to cm
  • cl to l
  • l to m3
  • t to kgs

STARTER:

Problem: Magazines are sorted in piles of 100.

Each magazine is 4mm thick

Calculate the height of one pile of magazines, giving your answer in centimetres

LESSON: Look at the following conversions

LENGTH

    10 millimetres = 1 centimetre

1000 millimetres = 100 centimetres = 1 metre

1000 metres = 1 kilometre.

CAPACITY

    10 millilitres = 1 centilitre

1000 millilitres = 100 centilitres = 1 litre

WEIGHT

    1000 grams = 1 kilogram

1000 kilograms = 1 tonne

VOLUME

    1000 litres = 1 metre2

    1 millilitre = 1 centimetre3

Use this lesson to show how to convert between metric units. Use final screen two or three times to give lots of practice. Keep checking answers with students

EXTENSION Ex 20 B Page 433

PLENARY: Ensure students work is checked regularly whilst touring the room

Monday, 3 October 2011

Tues OCT 4th – Telling the Time

LEARNING OBJECTIVE: You will revise how to tell the time on an analogue Clock, including Quarter past and quarter to

SUCCESS CRITERIA: You will be able to tell the time on an analogue clock and know how to draw hands on a clock for a given time

STARTER: What time is IT – Quarter Hours – Sheets 1

What Time is It – Sheet 2

LESSON: Work thorugh this lesson on telling the time, use screens to practice as much as possible and encourage students to participate from the floor on the IWB

What Time is It Sheet 3

What Time is It Sheet 4

What Time is It Sheet 5

What Time is It Sheet 6

Useful Resources: Clock Face, Hickory Dickory Dock Clock Game

EXTENSION: Time to nearest 5 mins – Sheet 1, Sheet 2

Saturday, 1 October 2011

Mon Oct 3rd – More Work on Two Way-Tables

LEARNING OBJECTIVE: To create and interpret information from two way tables

SUCCESS CRITERIA: You will be able to enter data into a two way table and be able to interpret information from a two way table.

STARTER: Work through this Powerpoint Two Way Tables Exercise

LESSON: Use Starter to recap information in a two way table. Emphasise the totals column and row, making the point that if they are not included in a question ADD THEM

Example

Class

Male

Female

9x1

23

21

9x2

24

25

9y1

20

23

9y2

26

18


 

Add a total row and a total column to this table

Answer these four questions – copy the table into your books first and add a total column and a total row BEFORE answering the question

EXTENSION: Page 80 & 81 in Foundation text book Q5 Onwards

PLENARY: Checking answers with students, get feedback from students

Tuesday, 27 September 2011

Mon 3rd October – Subtraction when you have to ‘borrow’

LEARNING OBJECTIVE: How to subtract one large number from another large number

SUCCESS CRITERIA: You will be able to subtract one 3 digit number from another three digit number using the column method WITHOUT a calculator

STARTER: Try and Match the 'What do I add cards' to their correct answers

LESSON: Remind Students of method for subtracting when you have to 'Borrow' from next column

Eg 1 490 – 354

Eg 2 521 – 256

Can you have a go at these

  1. 354 – 129
  2. 666 – 457
  3. 762 – 298
  4. 551 – 348
  5. 982 – 675
  6. 521 – 333
  1. 345 – 157 = 188
  2. 921 – 295 = 626
  3. 508 – 259 = 249
  4. 602 – 354 = 248
  5. 705 – 438 = 267
  6. 702 – 256 = 446

  
 

EXTENSION: Maxisum worksheet

PLENARY: Checking answers (First six are from the starter)

Monday, 26 September 2011

Tues Sep 27th – Subtract 2 and three digit number without using a calculator

LEARNING OBJECTIVE: Use your knowledge of basic number bonds to subtract whole numbers up to 3 digits.

SUCCESS CRITERIA: You will be able to subtract two or three digit numbers and get the correct answer WITHOUT using a calculator

STARTER: Set these add sums out in H T U columns and use the method we looked at yesterday to add them up

  1. 37 + 45
  2. 54 + 37
  3. 67 + 84
  4. 123 + 548
  5. 234 + 183

LESSON: Use Just in Time From Starter of the day – Twenty Single digit subtraction sums to have a go at.

Use this Subtraction Lesson from MyMthas to develop the method for subtracting up to 3 digit numbers

PLENARY: Checking all answers, Using MyMthas screens as a 'Race' to get the correct answers, students check their own answers from Teacher Screen

Explain 5 finger feedback to get a quick view of students confidence.

Sunday, 25 September 2011

Mon Sep 26th – Adding Whole numbers up to three digits

LEARNING OBJECTIVE: Use your knowledge of basic number bonds to add up whole numbers up to 3 digits.

SUCCESS CRITERIA: You will be able to add up two or more three digit numbers and get the correct answer WITHOUT using a calculator

STARTER: Just in Time From Starter of the day – Twenty Single digit sums to have a go at.

Discussion about any mistakes student make,

Complete this addition table

+

1

2

3

4

5

6

7

8

9

1

 2

3

4

5

6

7

8

9

10

2

3

4

5

6

7

8

9

10

11

3

4

5

6

7

8

9

10

11

12

4

5

6

7

8

9

10

11

12

13

5

6

7

8

9

10

11

12

13

14

6

7

8

9

10

11

12

13

14

15

7

8

9

10

11

12

13

14

15

16

8

9

10

11

12

13

14

15

16

17

9

10

11

12

13

14

15

16

17

18

Check answers to grid

LESSON: Use this MyMaths Lesson to show methods for adding up 2 and 3 digit numbers. Repeat question screens as often as necessary to give lots of practice.

PLENARY: Checking answers throughout the lesson from Mymaths Grids, Make questions into a game. Who Can finish first?, Checking own answers from teacher machine.

Monday, 19 September 2011

Tues 20th Sep – Place Value and ordering large numbers

LEARNING OBJECTIVE: Understand how to say large numbers and use commas to help. Use this to help put lists of large numbers into order

SUCCESS CRITERIA: You will be able to:

  1. Say large numbers
  2. Put a list of large numbers into order
  3. Understand whether a number is in the units, tens, hundreds, thousands, ten thousand, 100 thousand or millions column

STARTER: Watch (and sing along to) this Video

LESSON: On your grids write these numbers in the correct places.

  1. Three million two hundred and twenty six thousand five hundred and twenty seven
  2. Seven million, three hundred and eighty thousand, nine hundred and thirty two
  3. Six hundred and fifty five thousand nine hundred and thirty one
  4. Nine million, three hundred and twenty seven
  5. Thirty two million, eight hundred and forty seven thousand, four hundred and seven
  6. Two million, three hundred and five thousand, seven hundred and sixty

     
     

    Put each of these lists of numbers into order – smallest first

List 1

345

657

876

365

978

134

387

784

List 2

18,897

34, 567

17, 897

21, 786

16, 786

23, 894

16, 786

19, 491

List 3

123, 567

896, 345

674, 674

243, 675

143, 675

275, 786

354, 543

132, 864

List 4

1,234,685

1, 564, 345

1, 675, 564

1, 897, 564

1, 023,786

1, 007, 675

1, 123, 004

1, 708,004

List 5

678

3,245

2, 786

1, 345, 675

234, 678

23, 786

1, 000,087

230,004