Tues – 1st Nov – More work on real Life Graphs / Review of Algebraic Fractions

LEARNING OBJECTIVE: To understand and interpret results from a Distanvr time graph, and be able to add/subtract algebraic fractions

SUCCESS CRITERIA: You will understand how to work out average speeds, distance travellend, time taken from Distance time graphs and be able to simplify algebraic fractions questions

STARTER: Continue working through Ex 21B on Page 461. – 25 mins max!

LESSON: Revision of adding and subtracting algebraic fractions

Use q1 page 536 of Higher text book as examples – students to work through Q2 & Q3 themselves

If too easy Jump to Q5 onwards

EXTENSION WORK: Level A* questions on page 538

PLENARY: Checking Answers, look at Practice paper three Algebraic fractions question

Mon 31st Oct – Real Life Graphs

LEARNING OBJECTIVE: Discover how to interpret Distance time graphs

SUCCESS CRITERIA: You will be able to read real life information from Distance time graphs and understand how the gradient of a line represents the average speed between two time points

STARTER:

1. Change 15 metres per second into kilometres per hour
   
2. Change 24 kph to metres per minute
   

LESSON: Use this Lesson to get over initial ideas of real life graphs

Have a go at Ex 21 A on page 458 of Higher GCSE text Book – (15/20 mins)

PLENARY: Use answers in back of book to check

Have a 5 min discussion on IWB on how gradient of a line on a distance time graph represents average speed.

Have a go At Ex 21B on Page 461

PLENARY: Checking answers

EXTENSION: Q1, 2, 3, 4 & 5 on page 465

Thurs 20th Oct – More Revision from Mock Exam

LEARNING
OBJECTIVE: Analysis and revision from Mock Exam

SUCCESS
CRITERIA: 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 Second Half of Exam Questions From June 2011 exam paper, explaining how marks are allocated, errors that were made.. Where appropriate give students other example questions to have a go at

Extra Question

If x ¤ y = 3x + 2y

Work out

1. 2 ¤ 4
   
2. -3 ¤ -2.5
   

If a § b = a² + 3b - 5 Work out

1. 2 § 5
   
2. 1.5 § -4
   

Hand out Practice Paper 4 for Half-Term, start questions if any time left.

PLENARY: Checking on Student confidence

Weds Oct 19th – Review of Mock Exam Questions

LEARNING OBJECTIVE: Analysis and revision from Mock Exam

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 June 2011 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

Tues 18th Oct – More revision on Solving Inequalities

LEARNING
OBJECTIVE: Discover how to solve inequalities when there are negative values involved.

SUCCESS
CRITERIA: You will be able to solve inequalities when the variable is a negative

STARTER: Solve these Inequalities, then these inequalities

LESSON: Use questions above to show how to solve inequalities

Now have a go at these questions

PLENARY: Checking answers, looking at past exam paper questions from Exam Pro

Mon Oct 17th – Mock Exam For Unit 2

Use all lesson to sit Jun 2011 Unit 2 Exam Paper in Exam Conditions

Thurs – Oct 13th – Revision – Expanding / Factorising Quadratics

LEARNING OBJECTIVE: To revise manipulating quadratics by expanding and factorising quadratics and be able to solve reverse percentage questions

SUCCESS CRITERIA: You will be able to quickly expand a bracket (using FOIL/Grid....) and also be able to factorise a quadratic. You will be able to recognise and solve reverse percentage problems

STARTER:

Expand the following equations:

(x + 2)2	(x - 3)2	(x + 5)2	(x - 5)2
(2x + 2)2	(3x + 1)2	(2x -42)2	(3x -5)2
(4 – 3x)2	(3x - 5)2	(5 – 4x)2	(2 - 4x)2

 
 

LESSON: Checking solutions to above, follow up on any issues

Look at how to factorise and then solve these equations

1. x² + 5x + 6 = 0, (x+2)(x+3), x = -2, x = -3
   
2. x² + 6x + 9 = 0, (x+3)(x+3), x = -3
   
3. x² - 5x + 6 = 0, (x-2)(x-3), x = 2, x= 3)
   
4. x² + 9x + 18 = 0, (x+3)(x+6), x = -3, x = -6
   
5. 2x² + x – 12 = 0, (2x )(x )
   
6. 3x² +2x – 8 = 0, (3x - 4)(x + 2 )
   
7. 6x² +7x +6 = 0, (
   

PLENARY: Check answers to above, check issues

Have a go at these questions.

PLENARY: Check Answers and issues

Weds Oct 12th Simultaneous Equations - Substitution

LEARNING OBJECTIVE: To discover how to use an alternative method (Substitution) to solve a simultaneous equation problem

SUCCESS CRITERIA: You will be able to solve simultaneous equation problems using any method we have covered.

STARTER: Screen 5 from this MyMaths Lesson

LESSON: Video 1,

Example Solve x - y =12 and 3x + 2y = 46

Solve Ex 19L

Q7 2x + y = 4, and x – y = 5

Q 15 x – 5y = 15 and 3x – 7y = 17

Q1 page 425 (briefly looked at yesterday) solve on IWB

Work through Ex 19M page 425.

PLENARY: Checking answers – look at Q 15 From Practice Paper 2. Can you solve it now?

Solve the simultaneous equations     y²
= x + 3 and
y = x – 3

 

Tuesday 11th Oct – More difficult Simultaneous Equations

LEARNING OBJECTIVE: To come up with more methods for solving difficult simultaneous equations.

SUCCESS CRITERIA: You will come up with new ways of solving more difficult simultaneous equations.

STARTER: Rabbits and Chickens, Extension to Rabbits and Chickens

LESSON: Solve 3x + y = 5 and 5x – 2y = 12.

Work through Ex 19K on page 423 .

How do we solve 4x + 3y = 27 and 5x – 2y = 5

Work through Ex 19L page 424

EXTENSION: Ex 19M page 425

PLENARY: Checking answers, writing up methods used to solve equations

Mon Oct 10th – Solving Simultaneous equations

LEARNING OBJECTIVE: To discover a method for finding the solutions of a pair of simultaneous equations

SUCCES CRITERIA: You will be able to find solutions to a pair of simultaneous equations

TODAY I AM NOT ALLOWED TO ANSWER ANY QUESTIONS DIRECTLY. IF YOU ASK ME A QUESTION I MIGHT ASK YOU ANOTHER QUESTION RATHER THAN ANSWER YOUR QUESTION

STARTER:

Problem 1

One day I went to a coffee shop and bought two coffees and 1 tea and was charged £1.40. Another day I went to the same coffee shop and bought 3 coffees and 1 tea and was charged £1.70

How much was the tea and coffee?

Problem 2

A different coffee shop (in France) charged me 1 day €24 for 5 coffees and 2 teas and on another day charged €16 for 3 coffees and 2 teas, How much was the tea and the coffee

LESSON: Use Screen 4 from this MyMthas Lesson to generate lots of different example questions for them to have a go at. Let them develop a method. Get students up to IWB to explain how they got their results

EXTENSION: Ex 19J page 421 of higher text book

PLENARY: Write down in Your text book the method you used to solve the equations

Thurs Oct 6th – Even more Drawing Inequalities on a graph practice

LEARNING OBJECTIVE: To understand how to plot a line on a graph and use it to shade an inequality region

SUCCESS CRITERIA: You will be able to plot any straight line on a graph and work out the region required from an inequality

STARTER: inequalities question from Exam pro – 5 mins to have a go then discuss

LESSON: Work through inequalities worksheet, supporting students at individual tables.

Checking answers throughout the lesson

PLENARY: Get feedback on Confidence on Graph Drawing and Inequalities

Have a go at this question

On a coordinate grid, indicate clearly the region defined by the three inequalities

x ≥ 1
y ≥ x – 1
x + y ≤ 7

          Mark the region with an R.

Weds 5th OCT – Sketching Inequalities on a graph

LEARNING OBJECTIVE: Practise sketching inequalities on a coordinate grid

SUCCESS CRITERIA: You will be able to sketch straight lines on a graph and determine which side of the line represents the region of the inequality

STARTER: Plot the following lines on a coordinate grid:

Y = 2x +3	Y = 3x – 1	Y = 2x +5	Y = -2x -3
2y = 4x +8	2y-6x = 10	10x - 5y = 20	4y + 6x = 10

 
 

Discuss plotting the points to revise y = mx + c work and quickly plotting a straight line on a graph

LESSON: Watch this video on deciding which side to shade.

Now continue to work through the questions on this worksheet.

PLENARY: Checking answers, Have a go at Q9 on exam paper

Tues OCT 4th- Inequalities and Graphs

LEARNING OBJECTIVE: To solve inequalities and then plot the solutions on a graph

SUCCESS CRITERIA: You will be able to solve an inequality and then be able to plot the resulting area on a graph

STARTER: You have 15 mins to solve as many of these questions as you can (You should all be ablt to complete ALL q 1 to 5 in this time

LESSON: Work through this MyMaths Lesson to introduce the idea of shading in the unwanted area of a graph. Now try Page 78 / 79 from Unit 2 Higher text Book

PLENARY: Checking answers using MyMthas Screens, and give out answers to worksheet questions. Get Feedback from students on confidence levels.

Mon Oct 3rd – Solving Inequalities

LEARNING OBJECTIVE: To manipulate and solve inequalities

SUCCESS CRITERIA: You will be able to solve inequalities using algebraic manipulation.

STARTER: Hand back Exam Papers, give them 5 mins to talk about them. Look at Q1,2 and 3 together on IWB after giving students 5 minutes around their tables to explain to each other how to do these questions

LESSON: Solving Inequalities

Use these examples to show how to solve Inequalities:

1. x + 15 > 25
   
2. x – 21 < 4
   
3. 2x – 3 > 5
   
4. 3(x +3) < 21
   

Work Through Ex 26A on page 565 of Higher text book, Check answers as you work through questions

If Level C questions too easy for some skip to level B questions (Q4 onwards)

EXTENSION: Page 76 from Unit 2 Higher text Book

PLENARY: Have a go at Q 9(a) on exam paper.