Weds 28th Sep – more Indices and Standard Index Form Numbers

LEARNING OBJECTIVE: To revise Indices Laws and Standard Index Form
SUCCESS CRITERIA: You will be able to answer indices and Standard Index form Exam questions

Practice Paper – unit 2 Higher - Set 1

STARTER/Part 1: Work through the questions on pages 100 & 101 in Unit 2 Higher Text book

Reminder of Standard Index Form Numbers both large and small.

Have a go at these questions:

Extension – Questions on Page 104

PLENARIES: Checking Answers

 

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Tues 27th Sep – Exam Revision – Indices and Standard Index Form

LEARNING OBJECTIVE: To revise Indices Laws and Standard Index Form
SUCCESS CRITERIA: You will be able to answer indices and Standard Index form Exam questions

Practice Paper – unit 2 Higher - Set 1

STARTER:

Answer at least three of these algebra questions:

Expand and simplify the following

6 – 4(3X – 5)	(3X + 3)(5X – 4)	3(x+5) – 2(x-6)
3x(2x – 5)	x2(2x-3)	-2x – 5(3x – 5)

 

LESSON: Work through Use this Powerpoint to first revise Muliplying power numbers, dividing power numbers, and raising a power number to a power.

Then show how we deal with negative and fractional powers

Work through the questions on pages 100 & 101 in Unit 2 Higher Text book

PLENARY: Checking Answers, feedback from students

Remind students of the rues for writing large and small numbers as a standard Index number

Have a go at these questions

PLENARY: Checking Answers

Mon Sep 26th - More Revision of Exam topics from Practice Paper 1

LEARNING OBJECTIVE: TO revise weaker areas of Syllabus from mistakes and omissions from the practice paper

SUCCESS CRITERIA: You will be able to answer similar questions in future test papers.

Practice Paper – unit 2 Higher - Set 1

STARTER: Have a go at these algebra questions

Expand and simplify the following

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

LESSON:

Question 9: Another Example

Rule to find next term is:

Multiply by three then subtract K. The second term is 11 and the fourth term is 83.

1st	2nd	3rd	4th
?	11	?	83

What is the first term



Question 10: Reminder of graphs – Gradients and intercepts, Rearranging into y = mx +c



Question 11: Reminder of rules of indices, Lots of examples on IWB – Use this Powerpoint

If time continue with

Question 12 – Algebraic Fractions. Reminder of addition of fractions then move to Algebraic Fractions



Question 13: reminder of Standard Index Form with lots of examples to try



Question 14: Rearrange formulae – leave for another FULL lesson



Question 15: Work through Exam question then have a go at this

x² + ax – 4 ≡(x – 2)² – b

PLENARIES: Checking answers with students throughout the lesson, getting them to check each others...

Thurs 22nd Sep – Using PRacticew papers to help revise weaker areas of Unit 2 Work

LEARNING OBJECTIVE: TO revise weaker areas of Syllabus from mistakes and omissions from the practice paper

SUCCESS CRITERIA: You will be able to answer similar questions in future test papers.

STARTER:

1. What is the approximate answer to this sum (3.5² x 1.92)÷8.76
   
2. A function machine has two operations – times 3 then subtract 5. What input number gives and output 5 times greater.
   
3. If x = 5, y = -4, z = -2 what is 3(x - y)÷ z
   
4. If 23.3 x 4.5 = 104.85. What is
   
   1. 104.85 ÷ 4.5
      
   2. 233 x 0.45
      
   3. 23.3 x 6.5
      

LESSON:

Unit 2 Higher – Practice Paper Set 1

Question 6. Reminder of how to find LCM and HCF of Two or more numbers



Question 7: Percentage Increase

REMEMBER: Difference / Original x 100

Starting weight 5 kg One month later weighed 6.5 kg. What is Percentage Increase?



Question 8. ALGEBRA and BODMAS and Expanding a quadratic (Multiplying two brackets together – lots of examples



Question 9: Another Example

Rule to find next term is:

Multiply by three then subtract K. The second term is 11 and the fourth term is 83.

1st	2nd	3rd	4th
?	11		83

What is the first term



Question 10: Reminder of graphs



Question 11: Reminder of rules of indices, Lots of examples on IWB



Question 12 – Algebraic Fractions. Reminder of addition of fractions then move to Algebraic Fractions



Question 13: reminder of Standard Index Form with lots of examples to try



Question 14: Rearrange formulae – leave for another FULL lesson



Question 15: Work through Exam question then have a go at this

x² + ax – 4 ≡(x – 2)² - b


Question 16 & 17 Leave for another lesson



Grade Boundaries for this Exam

43602 H Grade	Max. mark	A*	A	B	C	D
Boundary Mark	66	49	41	31	22	15

PLENARY: Check on confidence now –



Unit 2 Higher – Practice Paper Set 1

Weds 21st Sep; Practice Paper 1 Feedback and Revision

LEARNING OBJECTIVE: TO revise weaker areas of Syllabus from mistakes and omissions from the practice paper

SUCCESS CRITERIA: You will be able to answer similar questions in future test papers.

STARTER: Hand outr papers and give students 5 mins to talk about / share their results

LESSON.

Question 1 – Estimating results of a complex calculation. Look at question 1 on IWB and talk about how to round.

Estimate answers to these problems

19.7 x (9.62 -2.72)	(34.75 ÷ 5.8) x 4.7
(18.52 ÷ 38.5)2	(78.2 ÷7.3)/ (2.32 x 14.52)

 

Question 2: Using a given sum to solve similar problems

If 3 x 4 = 12 What else do we know

If 2.3 x 4.5 = 10.35 What else to we know?

From the above sum can we work out

1. 2.3 x 45
   
2. 23 x 4.5
   
3. 23 x 45
   
4. 0.23 x 0.45 etc
   

If 45.6 x 23 = 1048.8. how do we quickly work out 45.6 x 24

 

Question 3 – Practical Applications of Percentages/Fractions

Question 4 – Substitution and rules of BODAMS.

Question 5 - Function machines using algebra

INPUT......Add 3......MULTIPLY by 2.... Output. One value gives an output 3 times the input, can you find it

What number gives half of its input value

Question 6. Reminder of how to find LCM and HCF of Two or more numbers

Question 7: Percentage Increase

REMEMBER: Difference / Original x 100

Starting weight 5 kg One month later weighed 6.5 kg. What is Percentage Increase?

Question 8. ALGEBRA and BODMAS and Expanding a quadratic (Multiplying two brackets together – lots of examples

 

PLENARY: Check on confidence now – These two pages completed would give33/66 marks and would give a grade B

Tues 20th Sep – Equation of line between two points and equation of a line parallel to a given line Through a given coordinate

LEARNING OBJECTIVE: Use the skills in gradient, intercepts to find the equation of lines, including parallel lines, from given coordinates

SUCCESS CRITERIA: You will be able to:

1. Find the equation of a line from two given coordinates
   
2. Find the equation of a parallel
   

STARTER: Answer the first six questions on This sheet

LESSON: What is the equation of the line parallel to y = 3x + 4, that passes through the point (2,8)

Try the rest of the questions on This sheet

EXTENSION: Try these questions from yesterday and answer questions 6 onwards

PLENARY: Checking Answers.

Chapter Checklist for Five Finger Feedback

Level D		Draw the graph of a line, such as y = 3x – 5 without being given a table of values Solve problems such as finding where the line y = 3x – 5 crosses the line y = 4
Level C		Find the gradient of straight line graphs Find the midpoint of a line segment such as (1,5) and (3,7)
Level B		Find the gradient and equation of a line through two points such as (0,3) and (5,13) Find the equation of a line parallel to another line, such as y = 3x – 5, passing through a given point.

Mon Sep 19th – Finding the equation of a line from two coordinates, finding a line parallel to another line given a coordinate on the new line.

LEARNING OBJECTIVE: Use the skills in gradient, intercepts to find the equation of lines, including parallel lines, from given coordinates

SUCCESS CRITERIA: You will be able to:

1. Find the equation of a line from two given coordinates
   
2. Find the equation of a parallel line given the equation of the line and a coordinate on the new line
   

STARTER:

1. If the point (2,5) is on the line y = 2x + c, what is the value of c
   
2. If the point (-1,3) is on the line y = 3x + c what is the value of c
   
3. If the point (4,5) is on the line x + y =c what is the value of c
   
4. What is the equation of the line that passes through these two points (2,7) and 5,13)
   

LESSON: Use answers to above starter to generate discussion on how to solve problems like question 4.

Work through Questions 2 to 5 from these questions pages 64/65 Unit 2 Higher text Book)

PLENARY: Checking answers with students around class.

What is the equation of the line parallel to y = 3x + 4, that passes through the point (2,8)

Try the rest of the questions

PLENARY: Checking Answers.

Chapter Checklist for Five Finger Feedback

Level D		Draw the graph of a line, such as y = 3x – 5 without being given a table of values Solve problems such as finding where the line y = 3x – 5 crosses the line y = 4
Level C		Find the gradient of straight line graphs Find the midpoint of a line segment such as (1,5) and (3,7)
Level B		Find the gradient and equation of a line through two points such as (0,3) and (5,13) Find the equation of a line parallel to another line, such as y = 3x – 5, passing through a given point.

 

Thurs Sep 15th – Exam Paper Practice

LEARNING OBJECTIVE: Have a go at a sample exam paper to test unit 2 knowledge

SUCCESS CRITERIA: You will achieve your target grade in the exam

LESSON: Work in exam conditions on exam paper

Weds 14th Sep – Mid-point of a line segment, Lines between two given points and parallel Lines

LEARNING OBJECTIVE: Establish a method for finding the midpoint of a line segment, deriving the equation of a line given two points on the line and find the equation of parallel lines.

SUCCESS CRITERIA: You will be able to:

1. Find the midpoint of a line segment
   
2. Work out the equation of a line given two points on the line
   
3. Work out the equation of a parallel line given the equation of a line and a coordinate on the parallel line.
   

STARTER: Can you match the equations to the lines

 
 

LESSON: Explore on the IWB finding the mid point of a line segment

Use first two screens of this Mymaths Lesson to show how to find the mid-point of a line segment.

Have a go these Questions (page 62 higher unit 2 text Book) – 20 mins Max!. Check Answers with Students

Work through these examples on the iwb

1. What is the equation of the line that goes through these two points
   
   1. (0,3), (2,7)
      
   2. (2,4), 4,12)
      
   3. (2,3), (-1,9)
      

Now have a go at these questions pages 64/65 Unit 2 Higher text Book)

PLEANRY: Checking Answers, feedback from students

Tues – 13th Sep –More work on Gradient of straight lines

LEARNING OBJECTIVE: To discover the gradient and intercept values of a straight line graph from the linear function.

SUCCESS CRITERIA: You will be able to rearrange a function into the form y = mx + c and then write down the gradient and intercept of the function.

STARTER: Watch this Youtube Video on Gradients

LESSON: Continue working through These Questions in your exercise book, Extension Questions

PLENARY Checking Answers, Exam Question

Mon Sep 12th – Gradient and Intercept of a straight line graph

LEARNING
OBJECTIVE: To discover the gradient and intercept values of a straight line graph from the linear function.

SUCCESS
CRITERIA: You will be able to rearrange a function into the form y = mx + c and then write down the gradient and intercept of the function.

STARTER: Re arrange the following equations so they all read y = .....

2y = 4x + 18	5y = 10x – 15	4y – 2 = 6x
9y – 18 =27x	4x + 2y = 6	3y – 6x = 15
2y – 3x = 5	3y – 15 = 7x	3x = 5y + 20

 

LESSON: Use screens 1 to 7 from this Mymaths Lesson..

Try These Questions in your exercise book, Extension Questions

PLENARY: Checking answers throughout tlesson with individuals & groups (and class). Try an exam style questions

Thurs 8th Sep: Methods for quickly finding three cords from a Linear Equation and then draw the line on a graph

LEARNING OBJECTIVE: To recognise a linear equation and draw the straight line graph that represents it

SUCCESS CRITERIA: You will be able to find at least three coordinates form any linear equation that will enable you to draw the straight line that represents the equation

RULE: You can spot a linear equation as it will NOT have any squared or cubed letters in it.

BE CAREFUL IF a function has brackets in it YOU MUST expand the brackets first before applying the above rule (Give and example on IWB to demonstrate)

STARTER:

For each of these linear equations complete the table of x and y values and then draw the line

Y = 3x + 2 X 0 1 2 Y	Y = ¼x +4 X 0 1 2 Y
2x + 3y = 9 X 0   3 Y   0	4x – 5y = 20 X 0     Y   0 1

LESSON: Use answers to above starter to reinforce how to quickly find three coordinates from a linear equation

Continue from yesterday these questions

PLENARY: Checking Answers. Quickly find three cords for these two equations and sketch them

Y = 5x + 2, 3x + 2y = 12

Weds Sep 7th – Drawing Straight Line Graphs

LEARNING OBJECTIVE: To recognise a linear equation and draw the straight line graph that represents it

SUCCESS
CRITERIA: You will be able to find at least three coordinates form any linear equation that will enable you to draw the straight line that represents the equation

RULE: You can spot a linear equation as it will NOT have any squared or cubed letters in it.

BE CAREFUL IF a function has brackets in it YOU MUST expand the brackets first before applying the above rule (Give and example on IWB to demonstrate)

STARTER: Find three coordinates that are true for each of these four linear equations.

y = 3x -2		y = -5x +3
2x + y = 10		6x + 2y = 10

Use these examples above to check coordinate answers; Show how to organise answers in a table.

LESSON: Why Minimum of three Coordinates? 5 minute discussion in groups

Work through Questions 4 onwards from these questions

PLENARY: Checking Answers. Quickly find three cords for these two equations and sketch them

Y = 5x + 2, 3x + 2y = 12

Weds Sep 5th Expanding Brackets / Factorising Quadratics revision

Expanding Brackets Generator

Factorising Quadratics Powerpoint