Sunday, 11 December 2011

Mon Dec 12th – Using Box plots to compare two or more sets of data

LEARNING OBJECTIVE: To develop and understanding of the information in a box plot to help compare two or more sets of data

SUCCESS CRITERIA: You will be able to read Median and Interquartile range from a box plot and use these to compare two or more sets of data

STARTER: Try these starter questions

LESSON: Work through this Lesson from Screen 2 onwards.

Then work through Ex 2E in Higher GCSE Text Book (All Level B Questions)

PLENARY: Checking answers as questions are completed from back of book, have a go at a couple of exam questiosn to finish with.


 

Thursday, 8 December 2011

Fri Dec 9th – Median and interquartile Range from Cumulative Frequency Curves

LEARNING OBJECTIVE: How to use the cumulative frequency to find the median and interquartile Range.

SUCCESS CRITERIA: You will be able to list the cumulative frequency from a frequency table and use it to estimate the Median, Upper quartile and lower quartile. Using these results you will be able to find the Interquartile range to make comparisons between sets of data.

STARTER Reminder of How to find cumulative Frequency, draw graph and find interquartle range

 LESSON

Try q2 onwards from Ex 2D in Exercise books

PLENARY: Checking answers, Look at a past paper question

Wednesday, 7 December 2011

Thurs Dec 8th – Cumulative Frequency

LEARNING
OBJECTIVE: How to use the cumulative frequency to find the median and interquartile Range.

SUCCESS
CRITERIA: You will be able to list the cumulative frequency from a frequency table and use it to estimate the Median, Upper quartile and lower quartile. Using these results you will be able to find the Interquartile range to make comparisons between sets of data.

STARTER: Look at the data in this frequency table. IF all these people were stood in shoe size order can you work out what shoe size:

  1. The middle person would be wearing
  2. The person stood a quarter of the way along would be wearing
  3. The person stood three quarters of the way along would be wearing
  4. Between what shoe sizes does the middle half of the people wear

Shoe Size 

Frequency 

2 

7

3 

14

4 

16

5 

23

6 

34

7 

25

8 

17

9 

10

11 

3

12 

1


 

LESSON: Work through this lesson to show the use of Cumulative Frequency Graphs

Work through q1 on page 55 of Higher Text book together on IWB to show how to deal with a grouped frequency table when plotting lesson 2 if this is found difficult

Try rest of questions from Ex 2D in Exercise books

PLENARY: Checking answers, Look at a past paper question

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 Answers, Looking at Exam Questions, checking answer to Why is it an approximation


 


 


 

Thursday, 1 December 2011

Fri – Dec 2nd – More work on The mean – Finding the mean from a Frequency Table

LEARNING OBJECTIVE: To solve various types of problems using the mean average

SUCCESS CRITERIA: You will be able to find the mean of any set of data presented in a list, a table or a graph

STARTER: Find the Mean from this table of data (Maths Lesson Screen 1)

LESSON: Work through the rest of the MyMaths Lesson Finding the mean from a frequency table.

Have a Go at exercise Section 67 and Section 68 questions on the worksheet.

PLENARY: helping students around the room, checking answers with them – have a look at an Exam pro question

Tuesday, 29 November 2011

Thurs 1st Dec – more work on the mean

LEARNING OBJECTIVE: To solve a variety of mean problems

SUCCESS CRITERIA: You will be able to solve mean problems

STARTER:

Question 1

5 numbers have a mean of 16, a different set of 6 numbers has a mean of 12. What is the mean of all 11 numbers?

Question 2

10 people have a mean weight of 95 kgs. An 11th person joins the group. He weights 115 kgs, what is now the mean weight of all 11 people

LESSON: Use above examples to explore solving mean problems.

Have a go at exercise 4 on your question sheet

EXTENSION: Work through section 66 questions

PLENARY: Check answers, look at a couple of exam pro questions, get some feedback on their confidence

Friday, 25 November 2011

Mon Nov 28th – Revision of Mean, Median, Mode and Range

LEARNING OBJECTIVE: To ensure students understand the terms mean, median, mode and range

SUCCESS CRITERIA: You will be able to find the mean, median, mode and range of data in exam type questions

STARTER: Write down a definition of the four terms: Maths Dictionary, Maths Dictionary

Mode

Median

Mean

Range

LESSON: Quick reminder of how to work out each of the different term. Try and emphasise the fact that they are all mathematical averages but give different measures of middleness

Work Through these questions (Section 65 then Section 66)

Have Answers Available for students to double check their work

PLENARY: Checking Answers, Exam Question

Thursday, 24 November 2011

Fri 25th 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: 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

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...

Friday, 18 November 2011

Monday Nov 21st – Linear Maths – What Topics 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: The Circle Song, Range, Mean, Median and Mode SOng

LESSON: Hand out copies of 2001 Paper 3H (Non Calculator Paper 1). Hand out Topic list for whole course

Give students 10 mins to have a go at first five questions. Support whilst working.

PLENARY: Look at answers to questions with students – take note of any weaknesses (use lesson blog comments!)

Repeat above procedure as many time as possible in lesson.

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