'LEARNING OBJECTIVE: TO use skills learned on area and perimeter of circles to solve problems
SUCCESS CRITERIA: You will be able to solve difficult problems involving area and circumference of a circle
STARTER: Have a go at Questions 10, 11 & 12 from Page 30 of Unit 3 higher text book
LESSON: Work through answers to problems on IWB.
Now try solving these wordy problems
PLENARY: Checking Answers, Discussing problems, Confidence feedback
LEARNING OBJECTIVE: To practise solving using the circumference and area formulas to solve circle problems
SUCCESS CRITERIA: You will be able to use the area and circumference formulas to solve many different types of circle problems
STARTER: Watch this video
LESSON: Quick revision of the two formulas and the variations of the formulas, especially 'back-to-front- problems such as finding radius from circumference and finding Diameter from area.
Continue top work through the questions from higher level GCSE text book Work through Ex 11a page 245.
EXTENSION: Page 30 of Unit 3 higher text book
PLENARY: Checking answers, exam pro question to finish
LEARNING OBJECTIVE: To Understand the significance of the number pi and how to use it to work out the area and circumference of a circle
S UCCESS CRITERIA: You will know what the number pi is and how to use it to solve circle problems involving area and circumference
STARTER: Can you name all these different parts and sections of a circle
PLENARY: Checking answers to Starter
LESSON:
What is pi?
Discussion on what it is, how big it is, what pi represents, rational / irrational numbers, approximations for pi.
Examples of Area questions and circumference questions
Work through Ex 11a page 246.
PLENARY: Check Answers, Exam Pro Questions
LEARNING OBJECTIVE: Solve problems which need area of Triangles, Parallelograms and Trapeziums
SUCCESS CRITERIA: You will be able to solve problems involving perimeter and area of Triangles, Parallelograms and Trapeziums
STARTER: Quick reminder on How to find the area of a trapezium using the rule
A= ½ ( a + b)h where a and b are the two sides of the trapezium that are parallel.
Start filling in this table then get students to complete it themselves
| Side a | Side b | Perpendicular Height | Area |
a | 8 cm | 4 cm | 5 cm |
|
b | 10 cm | 12 cm | 7 cm |
|
c | 7 cm | 5 cm | 4 cm |
|
d | 5 cm | 9 cm | 6 cm |
|
e | 3 m | 13 m | 5 m |
|
f | 4 cm | 10 cm |
| 42 cm2 |
g | 7 cm | 8 cm |
| 22.5 cm2 |
h | 6 cm |
| 5 cm | 40 cm2 |
LESSON: Check above answers, then students to work through questions 2 onwards on page 247 of Higher Text Book
EXTENSION: Q9 onwards on worksheet from yesterday
PLENARY: Checking answers. Exam Pro Questions with some feedback from Students
HOMEWORK: There are three MyMaths Homework tasks set for next Thursday – I expect 'Green' from everyone on these three level D/C topics. Please repeat if you DO NOT get a green
LEARNING OBJECTIVE: Discover how to find the area of Triangles, Parallelograms and Trapeziums
SUCCESS CRITERIA: You will be able to solve problems involving perimeter and area of Triangles, Parallelograms and Trapeziums
STARTER:
Calculate the areas and perimeters of rectangles measuring;
LESSON:
Parallelogram Area, Trapezium Area
Reminder on how to find the area of:
Have a go at Question 1 to 7 on worksheet
Show how to use Trapezium area formula = ½(a + b) x h
Have a go at rest of questions on worksheet
PLENARY: Check Answers with students as they work, Use an Exam Pro Question in last 10 mins to check understanding of Triangles and Parallelograms
LEARNING OBJECTIVE: Use the knowledge gained last lesson on the angle properties of polygons
SUCCESS CRITERIA: You will be able to solve problems involving: total angles in a polygon, interior angle of a regular polygon and exterior angle opf a regular polygon
Play this video as kids are arriving and settling doen
STARTER: Polygon Song by Algebra Man,
LESSON: Quick review of polygon properties then have a go at Ex 13B on page 310 and 311 of Higher GCSE Text book – check answers regularly.
EXTENSION Three worksheets on Polygons
PLENARY: Checking answers, checking feedback from students, exam pro question
LEARNING OBJECTIVE: To derive the rules for angles in regular and irregular polygons
SUCCESS CRITERIA: You will derive rules for the following:
STARTER:
Complete the names of all the polygons on this sheet:
Number of sides | Name | No Of Triangles | Sum Of Interior Angles | One angle of Regular Polygon | Exterior angle of Regular Polygon | Exterior angle multiplied by number of sides |
|
3 | Triangle | 1 | 1x180=180 | 60 | 120 | 360 |
|
4 | Quadrilateral | 2 | 2x180=360 | 90 | 90 | 360 |
|
5 | Pentagon | 3 | 3x180 = 540 | 108 | 72 | 360 |
|
6 | Hexagon | 4 | 4 x 180 = 720 | 120 | 60 | 360 |
|
7 | Septagon | 5 | 5 x 180 = 900 | 128.571428 | 51.43(2dp) | 360 |
|
8 | Octagon | 6 | 6 x 180 = 1080 | 135 | 45 | 360 |
|
9 | Nonagon | 7 | 7x180 = 1260 | 140 | 40 | 360 |
|
10 | Decagon | 8 | 8x180 = 1440 | 144 | 36 | 360 |
|
12 | Dodecagon | 10 | 10 x 180 = 1800 | 150 | 30 | 360 |
|
20 | Icosagon | 18 | 18x 180 = 3240 | 162 | 18 | 360 |
|
N - sides | No Name | n-2 | 180x(n-2) | 180x(n-2)/n | 180 - 180(n-2)/n | 360 |
|
NOTES: A regular polygon has Equal angles and equal length sides
LESSON:
Look at building up total angles inside a polygon using the 'Number of triangles' method.
Demonstrate using triangle, quadrilateral and pentagon on the IWB
Get students to complete the table, adding the columns
Number of Triangles, Sum of All Angles, One Interior angle of a regular polygon
TASK 1: Now complete the table for the rest of the polygons including n-sides.
PLENARY: Discussion on results and entries for n – sides – encourage answers/descriptions from students
Explain what is meant by the external angle(supplementary angle) ie interior + exterior angle = 180
TASK 2 Add these columns to your table and complete for ALL rows:
One Exterior Angle of a regular polygon, Sum of all exterior Angles, Sum of all Angles / 360
Explain your findings IN YOUR OWN WORDS
PLENARY: Discussion on results
LEARNING OBJECTIVE: Deduce missing angles in parallel lines, triangles and quadrilaterals
SUCCESS CRITERIA: You will be able to use your knowledge of the properties of triangles and quadrilaterals to solve missing angle geometry problems
STARTER: Triangle Example 1, Triangle Example 3
LESSON:
Task1 : Solve all the problems on Work Sheet 1 (topic 36 – triangles), then solve worksheet 2 (topic 34 - Angles and triangles) problems
Extension Tasks: Use the information on Page 306 to make your own notes on the properties of Trapeziums, Parallelograms, rhombus and kites
Using this information and your knowledge of angles in a triangle and between parallel lines to solve Q4 onwards on page 307 of Higher Text Book
PLENARY: Checking answers (at end of each Exam text Book), Triangle Example 2,
LEARNING OBJECTIVE: Deduce missing angles in parallel lines, triangles and quadrilaterals
SUCCESS CRITERIA: You will be able to use your knowledge of the properties of triangles and quadrilaterals to solve missing angle geometry problems
STARTER:
STARTER: What are the following angles on a clock face
LESSON:
Task1 : Solve all the problems on Work Sheet 1 (topic 36 – triangles), then solve worksheet 2 (topic 34 - Angles and triangles) problems
Extension Tasks: Use the information on Page 306 to make your own notes on the properties of Trapeziums, Parallelograms, rhombus and kites
Using this information and your knowledge of angles in a triangle and between parallel lines to solve Q4 onwards on page 307 of Higher Text Book
PLENARY: Checking answers (at end of each Exam text Book), Exam pro Question to finish with
LEARNING OBJECTIVE: To deduce missing angles in lines, and shapes
SUCCESS CRITERIA: You will be able to use your knowledge of angles to deduce missing angles in shapes
STARTER:
LESSON: Work through this Mymaths Lesson on Angle reasoning
Then work through this lesson on angles in parallel lines
Look at properties of special quadrilaterals on page 306 of Higher test book
Work through Ex 13A page 306
PLENARY: Checking answers,
LEARNING
OBJECTIVE: Revision of Exam technique / Exam Questions/Unit 2 topics
SUCCESS
CRITERIA: You will be able to solve Unit 2 questions and gain your target grade.
LESSON: Hand out Nov 2010 Unit 2 Higher paper and give students the lesson to work through it, supporting each other as they need.
Also work in smaller groups at student tables on any areas they want extra support on.
Have Mark Scheme available on teacher machine / IWB
PLENARY: Check on Answers /grade levels – confidence for Mondays exam – review of what they can do over weekend
SUNDAY NIGHT: Early night, at least 9 hours sleep, up 20 mins earlier on Monday morning and have a good breakfast – don't rush to school thirsty and on an empty stomach –
DO NOT REVISE AFTER 6 0'Clock on Sunday, relax have a pleasant evening (watching telly, listening to music, facebooking!!.... and go to bed early – TV's, Computers, Phones OFF at 10:30 at the latest.
LEARNING OBJECTIVE: To go over answers and issues from paper, or revise exam topics by completing questions
SUCCESS CRITERIA: You will gain your target grade in the exam
STARTER: Try These questions
LESSON: Students who wish to go over paper Sit at front ot look at March 2011 paper 2, March 2011 Paper 2 mark Scheme
Rest of students work through These exam type levelled questions.
PLENARY: Checking Answers
LEARNING OBJECTIVE: To go over answers and issues from both papers, revising exam topics
SUCCESS CRITERIA: You will gain your target grade in the exam
Work through exam papers on IWB showing common errors, give example questions for them to try.
LEARNING OBJECTIVE: Discover how to use the techniques for solving equations to rearrange equations, making another letter be the subject of the equation
SUCCESS CRITERIA: You will be able to answer exam questions that ask you to "make ? the subject of the equation.."
STARTER: Have a go at These 4 Revision Questions
LESSON: Use this MyMthas Lesson to practice rearranging equations of increasing difficulty
Extra Questions Page 427 - Q13 onwards of Higher GCSE Text book
EXTENSION: Use this Mymthas Lesson if above becomes easy
PLENARY: Checking answers, looking at past exam paper questions, looking at questions in papers attempted that were missed out previously
Students to work through March 2011 Unit 2 Higher paper in exam Conditions
LEARNING
OBJECTIVE: Analysis and revision from Practice Paper 3
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 Exam Questions From Practice Paper 3 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
