Thurs Feb 2nd – Estimating the answers to problems (using 1 sig fig)

LEARNING OBJECTIVE: Use rounding skills (to 1 Sig fig) to find approximate answers to calculations

SUCCESS CRITERIA: You will be able toi find the approximate answer to a problem using approximations methods

STARTER: Two Starter Questions

LESSON:
Examples of using 1 sig fig to help find approximations to the solutions of problems to help avoid making errors when using a calculator

Ex 4E page 121

PLENARY: Checking answers throughout lesson, summary at end of lesson, Exam question from 2009 exam paper

Mon Jan 30th – Estimations / Approximations – Rounding DP’s, SF’s

LEARNING
OBJECTIVE: Look at estimating answers to calculations / writing numbers to significant figures and decimal Places

SUCCESS
CRITERIA: You will be able to quickly estimate the solution to a problem and also round numbers to significant places and decimal places

STARTER:

TASK 1 - Complete this table by rounding the numbers to the accuracy shown by the heading of each column

Number	Nearest 10 000	Nearest 1000	Nearest 100	Nearest 10
45 678
89 675
16 500
22 650
7 986
650	n/a
897	n/a
474	n/a

 
 

Task 2: Complete this table by rounding to the number of decimal places shown by the heading of each column

Number	1dp	2dp	3dp	Whole Number
5.6754
23.6787
0.0785
15.00786
0.0099
99.0909
8.5507
123.5009

 
 

LESSON: Answers To above and discussion on Decimal Places / Rounding and significant figures. Emphasise how to use significant figures.

Ex 4d on page 119 - just write answers down WITHOUT a calculator

Examples of using 1 sig fig to help find approximations to the solutions of problems to help avoid making errors when using a calculator

Ex 4E page 121

PLENARY: Checking answers throughout lesson, summary at end of lesson, Exam question from 2009 exam paper

Mon 23rd/Thurs 26th Jan - Working through Linear Calculator exam paper to discover main topics of weakness.

LEARNING OBJECTIVE: Discover higher topic weaknesses to work on

SUCCESS CRITERIA: You will be aware of the topics we need to work on during the next five weeks

STARTER: 5 / 10mins on square roots and surds.

Hand out Exam Calculator papers

LESSON: Work through exam paper, with support to revise topics / discover which topics we need to work on.

PLENARIES: Support around each table with answers / feedback

  
 

DATES FOR THE DIARY:

2^nd March – afternoon Paper 3h -1¾ hours

5^th March – afternoon Paper 4h - 1¾ hours        

Thurs 19th Jan / Fri 20th Jan - Working through Linear exam paper to discover main topics of weakness

LEARNING OBJECTIVE: Discover higher topic weaknesses to work on

SUCCESS CRITERIA: You will be aware of the topics we need to work on during the next five weeks

STARTER: Hand out Exam papers started on Monday, verbal feedback to class and show l;ist of weaker topics I have noted from marking Mondays questions

LESSON: Work through exam paper, with support to revise topics / discover which topics we need to work on.

PLENARIES: Support around each table with answers / feedback

 

DATES FOR THE DIARY:

2^nd March – afternoon Paper 3h -1¾ hours

5^th March – afternoon Paper 4h - 1¾ hours        

Fri – Jan 13th – Histogram Assessment test

LEARNING OBJECTIVE: Test knowledge on histograms via past paper questions

SUCCESS CRITERIA: You will gain full marks on exam questions

LESSON: Hand out exam questions on Histograms, encourage completion of questions IN EXAM CONDITIONS

EXTENSION: Work through section 2.3 – Scatter Diagrams on pages 47 – 49 to remind yourself about the following:

• Scatter Diagrams
  
• Correlation and
  
• Line of Best Fit
  

Have a go at the questions in Ex 2C on page 49

PLENARY: Check on Feedback from Students on understanding of Histogram Exam Questions, Check answers to any questions completed in text book from back of book

Thur 12th Jan - Mean, mode and Median from Histograms

LEARNING OBJECTIVE: To understand how to generate a Frequency table from a Histogram and use that to find mean, median and mode.

SUCCESS CRITERIA: You will be able to find mean, Median and Mode from a Histogram

STARTER: Can you work out the following values:

1. Half way between 14 and 17
   
2. 1/3 third of the way between 15 and 18
   
3. 2/3 of the way between 15 and 18
   
4. 1/6 of the way between 14 and 17
   
5. 2/5 of the way between 12 and 20
   
6. 3/5 of the way between 20 and 50
   
7. 2/7 of the way between 10 and 30
   
8. 3/8 of the way between 30 and 50
   
9. 13/45 of the way between 50 and 70
   
10. 17/60 of the way between 40 and 80
    

LESSON: Use question 5(b) on page 20 to work through a full problem.

Students then to have a go at question 5c ,6 7, ....

PLENARY: Checking answers from back of book, look at an Exam pro question on IWB

Mon Jan 9th – Solving Problems from Histograms

LEARNING OBJECTIVE: how to use a histogram to find the mode and an estimate of the median and the mean

SUCCESS CRITERIA: You will be able to solve statistics problems from histograms

STARTER: Screen 7 – Exam Question from This MyMthas Lesson

LESSON: Work through answer to onscreen question from starter.

Discuss how to find the mode from a histogram from above question

Work through together q5a from page 19 of text book

Students to have a go at q5b & 5c then check their answers.

EXTENSION: q 6,7,89

PLENARY: checking ANSWERS, SUMMARY OF Histograms from students

LEARNING OBJECTIVE: To understand and use Frequency density to help create a histogram from data

SUCCESS CRITERIA: You will understand the term frequency density and be able to create a histogram

STARTER: Use final screen 6 from this lesson to set up a histogram question for students to attempt in their books

Discuss their solutions and graphs as revision of yesterdays lesson

LESSON: Continue to work through Ex 1E on page 18 of higher text book

PLENARIES: Checking solutions, discussions/demonstrations

HOMEWORK: Mymaths Homework set on Histograms to be completed before next Thursdays lesson

Thurs Jan 5th – Frequency density and Histograms

LEARNING OBJECTIVE: To understand and use Frequency density to help create a histogram from data

SUCCESS CRITERIA: You will understand the term frequency density and be able to create a histogram

STARTER: Copy these two notes underneath today's learning Objective:

1. The area of a bar on a Histogram represents the frequency
   
2. Frequency Density = Frequency / Width
   

 

LESSON: Use this lesson to develop an understanding of Frequency density and histograms – GO SLOW, give students lots of chance to solve problems and find answers themselves.

If time work through Ex 1E on page 18 of higher text book

PLENARIES: Checking solutions, discussions/demonstrations if needed on particular questions