Thur 17th / Fri 18th – Work through Mock Paper 4H

LEARNING
OBJECTIVE: TO Get more exam question practice to revise weak areas of higher paper

SUCCESS
CRITERIA: You will be able to gain your target grade or higher in this exam.

LESSON: Questions as a class on any problems from paper studied during the week.

Students work on their own papers, with support from each other and myself as needed.

Take some loop cards in for Level B for students to practice in specific areas.

PLENARIES: Checking answerst o questions, small group teaching of specific questions/topics. Extra question practice in specific areas using loop cards and/or text book.

Fri 27th / Mon 30th Apr – Past Exam Paper

LEARNING
OBJECTIVE: Practice Exam Questions

SUCCESS
CRITERIA: You will gain grade B or A in the exam

LESSON: Hand out papers and let students work through questions with support

PLENARY: Checking Answers with mark scheme

Mon Apr 23rd / Thurs Apr 26th – Going Over Nov 2010 Exam Papers

LEARNING OBJECTVIE: To revise Higher questions using Past Exam Paper Questions

SUCCESS CRITERIA: You will be able improve your exam attainemtn in next past paper attempt

STARTER: Hand out any papers I still have, students to look thorugh questions to suggest topics/Questions to look at.

Nov 2010 paper 3H, Mark Scheme Paper 3H

Nov 2010 Paper 4H , Mark Scheme Paper 4h

LESSON: Working through exam paper questions, with more questions for students to practice where possible.

PLENARY: Checking student confidence

Fri Apr 20th – Using the Cosine rule to solve Triangle problems

LEARNING OBJECTVIE: TO be able to solve problems when triangles are NOT right angled

SUCCESS CRITERIA: You will know when, and how to use the Cosine rule to solve problems

ENGAGEMENT ACTIVITY

LESSON: Cosine Rule using this lesson.
If time more problems on page 488 – Ex 22H of Higher Text Book

 

PLENARIES: Checking Answers throughout the lesson, Student feedback

 

Thurs 19th Apr – Revision of Sine Rule and How to Use the Cosine Rule

LEARNING OBJECTVIE: TO be able to solve problems when triangles are NOT right angled

SUCCESS CRITERIA: You will know when, and how to use the Sine rule to solve problems, you will know when, and how to use the Cosine rule to solve problems.

ENGAGEMENT ACTIVITY:
Sine Rule Problems to Have a Go At

LESSON: Use above problems to revise Sine Rule.

If Sine Rule questions are being solved fairly easily move onto Cosine Rule using this lesson.

PLENARIES: Checking Answers throughout the lesson, Student feedback

Mon Apr 16th – Trigonometry, Sine, Rule, Cosine Rule

LEARNING OBJECTIVE: TO revise Trigonometry including Sine rule and introduce the cosine rule

SUCCESS CRITERIA: Students Will be able to solve exam problems involving triangles

ENGAGEMENT ACTIVITY: How high is that tree?

LESSON: Collect in homework – two past papers

Get as much as possible out of students regards their knowledge and understanding of trigonometry(SOHCAHTOA and Sine Rule)

Look at some problems on IWB Pages 56 & 57 of this document.

If time introduce the cosine rule as well, using this lesson.

PLENARY: Checking answers, student feedback and confidence.

 

Mon Mar 26th – More work on Vectors

LEARNING OBJECTIVE: Further practice and extensions of the vector notation and concepts

SUCCESS CRITERIA: You will be able to solve vector problems using drawings and sketches to help to work out answers

ENGAGEMENT ACTIVITY: Watch this Video

LESSON: Use Question 5 in Higher text book to consolidate Fridays lesson – introducing vectors.

Continue to work through Ex 18 A Q 6 Onwards.

EXTENSION WORK: Have a go at the A* questions on page 396

 

Fri Mar 23rd – Vectors – What they are and how to add and subtract them

LEARNING OBJECTIVE: Discover what a vector is and understanding what adding and subtracting a vector means

SUCCESS CRITERIA: You will understand a vector is a numerical way of representing a movement on a grid and appreciate how movements on a grid can be written as additions and sbtyractions of vectors.

KEYWORDS: VECTOR, MAGNITUDE, DIRECTION

ENGAGEMENT ACTIVITY: Have a go at these three questions

LESSON: Work through this MyMthas Lesson.

The use this Vector Grid to develop the ideas and notation of vectors.

If any time left have a go at ex 18A page 394

PLENARY: Answers, Checking understanding with students

 

Thurs Mar 22nd – Exam question Practice – Quadratic Equations / Expanding Brackets

LEARNING OBJECTIVE: Applying skills leaned in Solving quadratic equations to solve higher level exam questions

SUCCESS CRITERIA: You will be able to solve higher level algebra questions

ENGAGEMENT ACTIVITY: Hand out difference of two squares questions for students to have a go at

LESSON: Quick check on Starter questions, then hand out exam questions for them to have a go at.

Support students working on exam questions around the room.

PLENARIES: Checking on solutions, supporting small groups / individuals. Stopping whole class to go over problems
if necessary.

Fri – 16th Mar – Solving Quadratics that do not factorise using the ‘Quadratic Formula’

LEARNING OBJECTIVE: TO solve quadratic equations using the quadratic formula

SUCCESS CRITERIA: You will be able to solve equations that DO NO factorise using the quadratic Formula

ENGAGEMENT ACTIVITY:

Use these values to work out what these expressions are equal to:

a = 3, b = -2, c = -4, d =-½

1. ab + c
   
2. a(b - c)
   
3. a + b + c
   
4. bc + ac
   
5. abc/d
   
6. ad(c – b)
   
7. cd – ab
   
8. abc – b + c +d
   

LESSON: Work through Quadratic Formula Lesson, use question screens over and over again to give lots of practice in using the formula. Give students a chance to solve all questions on final screen

Have a go at Ex 20J page 226 of Higher Text Book

PLENARY: Checking answers, exam question if time

Thurs – 15th Mar – Solving a quadratic that will not factorise

LEARNING OBJECTIVE: Discover other methods of solving quadratics when they will not factorise

SUCCESS CRITERIA: You will be able to solve quadratics that do not factorise.

ENGAGEMENT ACTIVITIES:

Can You expand these equations

1. (x+2)²
   
2. (x-4)²
   
3. (x+5)²
   
4. (x- 3)²
   
5. (x+1.5)²
   
6. (x – 3.5)²
   

LESSON

Look at the following quadratics,

1. Can you factorise them?
   
2. If no, can you guess a solution using trial and improvement methods?
   

x² + 4x – 8 = 0

x² - 8x – 4 = 0

1. 
    Look at (x+2)² and the expression x² + 4x + 2 – How are they different?
   

   What can we do to make this equation balance correctly
   

   (x+2)² ????? = x² + 4x + 2
   

   Examples
   

   1. x² + 8x - 7
      
   2. x² - 14x - 11
      
   3. x² + 7x - 4
      

   Can you write the following equations in this form
   

   (x + a)² –b or (x - a)² –b
   

2. x² + 14x - 1
   
3. x² - 6x + 3
   
4. x² + 6x + 7
   
5. x² - 4x - 1
   
6. x² + 3x + 3
   
7. x² - 5x - 5
   
8. x² + x - 1
   
9. x² + 8x - 6
   
10. x² + 2x -1
    
11. x² - 2x - 7
    

    Look at these pairs of equations, can you complete the square and then solve the equations (leave your answer in surd form)
    

12. x² + 14x – 5 = 0 , (x + 7)²
    
13. x² -6x + 3 = 0 ,(x - 3)²
    
14. x² +6x + 7 = 0 ,(x + 3)²
    
15. x² - 4x - 1 = 0 ,(x - 2)²
    
16. x² + 3x + 3 = 0 ,(x + 1½ )²
    
17. x² - 5x – 5 = 0 ,(x - 3)²
    
18. x² + x - 1 = 0 ,(x + ½)²
    
19. x² + 8x - 6 = 0 ,(x + 4)²
    
20. x² + 2x -1 = 0 ,(x + 1)²
    
21. x² -2x - 7 = 0 ,(x - 1)²
     
    

PLENARY: Checking answers, stopping class and going over problems when stuck.

Mon 12th Mar – Solving quadratic Equations by Factorising

LEARNING OBJECTIVE: How to spot the factors in a quadratic equation and then use these to solve it.

SUCCESS CRITERIA: You will be able to factorise a quadratic equation and then work out the solutions.

ENGAGEMENT ACTIVITY:

Expand the following:

1. (x + 2) (x + 4)
   
2. (x - 2) (x + 5)
   
3. (2x +3) (x – 2)
   
4. (3x – 4)( 5 – 2x)
   
5. (3x + 5)²
   

LESSON: Using the answers to the above explain the process of factorising: Then have ago at factorising and then solving these equations:

1. x² + 8x + 16 = 0
   
2. x² + 6x + 9 = 0
   
3. x² - 16x + 64 = 0
   
4. x² + 11x + 30 = 0
   
5. x² + x – 12 = 0
   
6. x² -5x - 24 = 0
   
7. 2x² + 8x + 6 = 0
   
8. 6x² + 19x + 10 = 0
   
9. x² + 6x + 9 = 0
   
10. 8x² -3x -10 = 0
    

Check Answers

Then have a go at question 14 onwards in second exercise on worksheet

PLENARY: Checking Answers and understanding, Exam question if time

Fri 9th March – Dealing with algebraic Fractions

LEARNING OBJECTIVE: You will discover how to adapt the addition of fractions skills to algebraic fractions

SUCCESS CRITERIA: You will be able to solve algebraic fractions problems

ENGAGEMENT ACTIVITY: Try These Questions

LESSON: Using adding Fractions examples to show how to add algebraic fractions on IWB.

Examples

Work through Page 18 of questions from Online Text Book

PLENARY Checking Answers, Exam questions.

Thurs 9th March – Algebra – Solving equations – From simple to Quadratic Equations

LEARNING
OBJECTIVE: Revise and extend skills in algebra to solve equations

SUCCESS
CRITERIA: You will be able to solve equations using algebra of these difficulties

1. Simple equations (unknown on one side only)
   
2. Expanding brackets and simplifying
   
3. Unknown on both sides
   
4. Expand brackets on either side of equality and then simplify and solve
   
5. Equations with x² in them – Quadratics that will factorise
   
6. Equations that are written as fractions
   
7. The difference of two squares type problems
   

ENGAGEMENT
ACTIVITY:

Can you solve these equations:

1. 5x + 4 = 19
   
2. 6x + 3 = 4x + 23
   
3. 3(2x-3) = 5(1-3x)
   
4. x² - 4x + 12
   

LESSON: Discuss answers to above questions, and revise skills needed to solve them.

Work through Page 18 from this text book

PLENARY: Checking Answers, If time look at a past paper question

Mon 5th March – Higher Level Calculator Paper revision

LEARNING OBJECTIVE: Revise Topics on Higher Level Calculator Paper.

SUCCESS CRITERIA: You will be able to achieve / improve your target grade.

STARTER: Have a go at these questions

LESSON: Look at this exam paper (Nov 2011)

These topics /Questions

BODMAS – question 1

Compound Interest – Q2

HCF/LCM – Q3

Area Problem – q 8b

Exchange Rate questions – Q9

Straight Line Graphs - Q13

Moving Average Q15

Similar Triangles Q17

Using Quadratic Rule Formula = Q19 (Very Hard)

Cosine Rule – q20 Part 2

Histograms / Frequency density – Q21

Geometric Proof – Q22

Difficult Algebra Factorising – Q 23

Surface Area of Hemisphere – Q 24 (Area / Volume /TSA)

Accuracy – Upper and Lower Bounds) – q25

 

 

Thurs/Fri 1st/2nd march – Using Past exam papers November 2010)to revise exam questions and exam techniques

LEARNING OBJECTIVE: To revise Higher level topics

SUCCESS CRITERIA: You will be able to solve higher level exam questions and gain a grade B or higher in the exam paper

STARTER: Hand back all marked exam papers, give students a chance to look at their results and talk to each other (and me about them). Show grade boundaries on IWB so students can assess their levels.

LESSON: Work through questions that were badly done / not done with all students – encourage them to do the explaining.

Jun 2010 3H, Mark Scheme

Nov 2010 4H, Mark Scheme

PLENARY: Looking at individual questions

Fri 24th/Mon 26th Feb – Using Past exam papers to revise exam questions and exam techniques

LEARNING OBJECTIVE: To revise Higher level topics

SUCCESS CRITERIA: You will be able to solve higher level exam questions and gain a grade B or higher in the exam paper

STARTER: Hand back all marked exam papers, give students a chance to look at their results and talk to each other (and me about them). Show grade boundaries on IWB so students can assess their levels.

LESSON: Work through questions that were badly done / not done with all students – encourage them to do the explaining.

Nov 2009 3H, Mark Scheme

Nov 2009 4H, Mark Scheme

PLENARY: Looking at individual questions throughout the lesson, Use Exam pro for further examples of questions if needed.

Thurs 23rd Feb – More work using The Sine Rule

LEARNING
OBJECTIVE: Understand and use the Sine rule

SUCCESS
CRITERIA: You will be able to find lengths and angles of triangles using the sine rule and also apply these techniques to solve problems involving triangles.

STARTER:

1. A triangle ABC has side AB = 8cm, angle ACB = 74°, and CAB = 59°.
   

Draw a diagram of this triangle with all given dimensions add to it.

Use sine rule to find the length of BC.

1. Ship A is 9Km due north of a lighthouse L. Ship B is 11km from Ship A, on a bearing of 072° from the lighthouse
   

   Calculate the bearing of B from A
   

   Draw a diagram of this problem and then use the sine rule to solve it.
   

    
    

LESSON: Use above two examples to revise the sine rule from Mondays lesson.

Have a go at the questions on this worksheet.

 
 

PLENARY: Checking answers, supporting students at their tables, Confidence feedback from students.

  

Mon – 20th Feb – The Sine Rule

LEARNING OBJECTIVE: To understand and use the Sine Rule to solve triangle problems

SUCCESS CRITERIA: You will be able to remember and write down the SINE RULE and use it to solve problems

STARTER: Use your calculator to write down to 3DP these values, (Collect Half Term Exam Papers in)

1. Sine 30°
   
2. Sin 60°
   
3. Sin 45°
   
4. Sin 0°
   
5. Sin 90°
   
6. Sin 1°
   
7. Sin 99°
   
8. Sin 45.6°
   

   Find the value of these to 1 dp
   

9. Sin-1(.4226)
   
10. Sin-1(1)
    
11. Sin-1(0)
    
12. Sin-1(.5)
    
13. Sin-1(0.8746)
    
14. Sin-1(0.23344)
    
15. Sin-1(0.99027)
    
16. What angle has a sin value of 0.996194
    
17. What angle has a sin value of 0.22495
    

LESSON: Short discussion on TRIGONOMETRY and what students can remember about it.

Work through this Lesson on The Sine Rule (Don't do Screens 8 & 9)

Have a go at Questions 1 & 2 on page 484

PLENARY: Checking Answers, have a look at an Exam Pro question if time.

Thurs 9th Feb – Working through A past Exam Paper

LEARNING OBJECTIVE: Revision of Higher exam questions by working through a past paper

SUCCESS CRITERIA: You will be able to gain a grade B or higher on the Linear Maths Exam Papers

LESSON: Hand out exam papers, allow students tot work through them with support from myself and discussion amongst themselves.

PLENARY: Checking on exam questions throughout the lesson with individuals, tables whole class.

HOMEWORK: Complete all questions on both exam papers and hand in to be marked on 20^th Feb – first day back.

Mon 6th Feb – Problems with Fractions

LEARNING OBJECTVIE: TO Be able to solve problems that involve fractions arithmetic including Reciprocals

SUCCESS
CRITERIA: You will be able to use the techniques for adding, subtracting, multiplying and dividing fractions to solve problems

STARTER: Question 5 on the worksheet we used on Friday

LESSON: What is a reciprocal? Lots of examples on Board including decimals

Work through Question 4 on page 28 of the worksheet.

Then continue with Question 6 onwards.

PLENARY: Checking answers, support at tables and individuals, stopping whole class if common problems occur, student feedback on confidence

Friday 3rd Feb – Revise Fractions

LEARNING OBJECTVIE: TO Revise all aspects of Fractions and Arithmetic with fractions

SUCCESS CRITERIA: You will be able to solve problems with fractions and including fractions

STARTER: Use this Notebook File – Page 1 for Starter – Mixed and Top Heavy Fractions

LESSON: Check all understand the very basics of fractions. Check all can do the following operations quickly

• Equivalence of Fractions – ordering / sorting fractions
  
• Adding and Subtracting Fractions
  
• Adding and Subtracting with Mixed Numbers
  
• Multiplying Fractions
  
• Multiplying Fractions with Mixed Numbers
  
• Dividing Fractions
  
• Dividing Fractions with Mixed Numbers
  
• Fractions – Decimal Equivalents / Conversions
  

Use Fractions Questions from Unit 2 Higher text Book pages 25 - 30

PLENARY: Checking Answers throughout lesson,. Working with tables to check on understanding

 

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