Thurs Feb 2nd - Volume and Surface Area of a Sphere

LEARNING OBJECTIVE: To learn and use the formulae for the volume and surface area of a cone

SUCCESS CRITERIA: You will be able to solve problems involving surface area and volume of a sphere

STARTER: Four cubes of ice with an edge 4 cm each are left to melt in a cylindrical glass with a radius of 6 cm. How high will the water rise when they have melted?

LESSON: Work through the Sphere section of this lesson.

Then work through Ex 11H in Higher text book.

EXTENSION PROBLEM: A cylindrical container with a radius of 5 cm and a height of 10 cm is filled with water. If the total mass of the filled container is 2 kg, what is the mass of the empty container?

PLENARY: Check Answers. Have a go at Question 7 on page 261

Weds Feb 1st – More work on Volume of Pyramids and Cones

LEARNING OBJECTIVE: Understand how to solve more complex Pyramid and cone questions

SUCCESS CRITERIA: You will be able to solve complex pyramid and cone questions

STARTER: Volume of a Frustum Example

LESSON: Quick reminder about volume of Pyramids and cones. 1/3 x Base Area x height

Have a go at Ex 11G (ignore questions about total surface area)

PLENARY: Checking Answers, look at an exam question on IWB

Tues Jan 31st – Density & revision of Volume of Pyramids/Cones

LEARNING OBJECTIVE: Understand the relationship between Mass, Volume and Density and use this alongside Volume questions

SUCCESS CRITERIA: You will be able to find volumes of pyramids and cones as well as use these when solving problems involving mass and density

STARTER: Volume of a square based pyramid, Volume of a Cone

FORMULA: Mass = Density x Volume

LESSON: Work through this MyMaths Lesson on Density. Give students time to work out the question screens.

If not completed yesterday, have a go at Q 4 – 7 on page 257. Then have a go at Ex 11G on page 259

PLENARY: Check answers, work with tables who are struggling, stop if any questions cause problems acroos many tables. Exam Question

Mon Jan 30th – Volume of Pyramids and Cones

KEYWORDS: APEX, FRUSTUM, PYRAMID, VOLUME

LEARNING
OBJECTIVE: Discover how to find the volume of a Pyramid and Cone

SUCCESS
CRITERIA: You will be able to solve successfully problems involving the volume of pyramids and cones

STARTER: Demo Of volume of a pyramid, Online Pyramids

LESSON: Work through This Lesson (Up to screen 5), Use question screen to help solve problems

Work through Ex 11F pages 256 & 257.

PLENARY: Checking Answers, look at Exam pro question if time

Fri 27th Jan – Specific Topic revision(30mins), then time to complete Paper 4H

LEARNING
OBJECTIVE: To revise Basic Algebra, Indices and area before trying to complete exam paper

SUCCESS
CRITERIA: You will gain a grade B (Or higher) overall on the 2009 Exam Paper

STARTER: Hand out exam papers, put grade boundaries on the board, short discussion on grade boundaries.

LESSON;

Algebra – Expanding and Simplifying

Indices – Basic Rules

Area – Square, Rectangle, Triangle, Trapezium, Circle, Sector

Time to complete Exam Paper

PLENARIES: Supporting students at their tables. Verbal feedback on confidence

Thurs Jan 26th – More time to develop skills solving volume of prisms problems

LEARNING OBJECTIVE: To develop enough expertise to solve level B Volume of prism questions

SUCCESS CRITERIA: You will be able to complete all Volume of prism Questions up to and including the level B questions

STARTER: Watch this video

LESSON: Reminder of ratios of m³ to cm³ and cm³ to mm³. Continue to work through Volume questions

PLENARY: Checking answers – Exampro question if time.

Weds Jan 25th – More work on Volume of Prisms

LEARNING OBJECTVIE: To use knowledge of area to find the volume of prisms

SUCCESS CRITERIA: You will be able to find the volume of a prism

STARTER: Have a go at finding the volume of the two shapes on this sheet

LESSON: Use two starter questions to revise volume of a prism.

VOLUME OF A PRISM = Area of Cross Section x Length

Work through these questions (pages 67 – 69 from Higher unit 3 text book)

PLENARY: Checking answers – look at an exam question from Exam pro

Tues Jan 24th – Volume of a Prism

LEARNING
OBJECTVIE: To use knowledge of area to find the volume of prisms

SUCCESS
CRITRIA: You will be able to find the volume of a prism

DEFINITION: A solid with two parallel congruent polygonal ends (with their corresponding sides parallel) and a number of parallelogram faces joining the two ends. If the ends and the other faces are perpendicular, then it is a right prism. If the ends of a right prism are regular polygons, then it is a regular prism. 
A triangular prism has triangular ends; a square prism has square ends, etc.

STARTER: Use screen 8 from this lesson as a starter Investigation. Test understanding of volume using screen 7 questions (repeat if necessary)

LESSON: Work through this prism Lesson. Show some more complex Prisims on IWB and how to solve them

Work through Ex 11D on pages 252 and 253 of Higher Text Book.

EXTENSION WORK: Pages 66, 67, 68 & 69

PLENARY: Checking answers, If time look at an Exam pro question.

 

Mon Jan 23rd – Short Assessment on Similar Triangles

LEARNING
OBJECTIVE: Test knowledge of similar triangles using past Paper Questions

SUCCESS
CRITERIA: You will be able to solve all exam questions

STARTER: Hand out exam questions

LESSON: IN exam Conditions work through exam questions –SHOW ALL WORKING OUT ON EXAM PAPER –Calculators are Allowed

PLENARY: IF any time left at the end go over some of the questions together on IWB

Thurs 19th Jan – Similar Triangles continued....

LEARNING OBJECTIVE: Using ratio of corresponding sides to solve similar triangle problems

SUCCESS CRITERIA: You will be able to solve similar triangle problems

STARTER: Use examples on IWB leave for students to try and solve

LESSON Use above starters to discuss and demonstrate (get students to demonstrate) how to solve similar triangle problems. Continue working through Ex 16A page 366, Ex 16b page 367-368 and ex 16c page 369.

EXTENSION: Section 42. Similarity from Higher electronic Textbook

PLENARY: Checking answers

Tues 24thth Jan – Area Scale factors when dealing with similar shapes

LEARNING OBJECTVIE: Discover the relationship between the scale factor of enlargement and the area scale factor and then use this to solve problems

SUCCESS CRITERIA: You will be able to solve area problems using the relationship between area scale factor and linear scale factor

STARTER:

Here are the dimensions of some rectangles.

1. Which are similar
   
2. What is the scale factor of enlargement of the similar rectangles
   

	Rectangle A	Rectangle B	Similar	Enlargement Scale Factor
1	3cm x 5cm	6cm x 10cm
2	2.5cm x 8 cm	7.5cm x 24cm
3	1.2 x 6.4	16cm x 3cm
4	3.5cm x 7.8	10.15cm x 22.3
5	2.4m x 3.7m	25.532m x 16.56

1. PLEANRY: Checking answers, reminder of similarity
   

LESSON: Work through this lesson on Area scale factors, repeat questions screens if necessary

Weds 18th Jan – Similar Triangles continued....

LEARNING OBJECTIVE: Using ratio of corresponding sides to solve similar triangle problems

SUCCESS CRITERIA: You will be able to solve similar triangle problems

STARTER: Watch these You Tube Videos

Video 1 (problem 1 Only), video 2

LESSON Use above starters to discuss and demonstrate how to solve similar triangle problems. Continue working through Ex 16A page 366, Ex 16b page 367-368 and ex 16c page 369.

EXTENSION: Section 42. Similarity from Higher Electronic Textbook.
Similar Triangles Past Paper questions

PLENARY: Checking answers

Tues Jan 17th – More work on Similar Triangles

LEARNING OBJECTIVE: You will discover how to use your expertise in ratio to solve similar triangle problems

SUCCESS CRITERIA: You will be able to identify two similar triangles and use ratio knowledge to solve problems

STARTER: Use example 2 & 3 from pages 366 and a367 on IWB with whole class

LESSON: Using answers to examples above show how to deal with Similar triangle problems with overlapping triangles.

Finish Ex 16A on page 365 first then move ontot Ex 16B on page 367

PLENARY: Checking Answers, similar triangles Exam Pro Question if Time

Thurs 12th Jan – Solving problems in Similar and Congruent Triangles

LEARNING
OBJECTIVE: Practice using ratio skills to solve Similar and Congruent triangle problems

SUCCESS
CRITERIA: You will be able to solve similar triangle problems

NOTES:

CONGRUENCE: Triangles are congruent when all angles are equal and corresponding sides are equal length Iie the two triangles are identical

SIMILARITY: Two triangles are similar if all their angles are equal.

STARTER: Watch this YouTube Video as a reminder of how to deal with similar triangles

LESSON: Continue to Work through Ex 16A on Page 365 –From q2 onwards

PLENARY: Checking answers and an exam pro question if time

Weds Jan 11th – Similar triangles

LEARNING OBJECTIVE: You will discover how to use your expertise in ratio to solve similar triangle problems

SUCCESS CRITERIA: You will be able to identify two similar triangles and use ratio knowledge to solve problems

STARTER: Look at these shapes and answer the following questions

1. What is the scale factor of enlargement from shape A to shape B
   
2. What is the scale factor of enlargement from shape B to Shape A
   
3. What is the scale factor of enlargement from shape C to shape D
   
4. What is the scale factor of enlargement from shape D to Shape C
   
5. Now draw your own shape using the squares in your book as a guide and label it E
   
6. Draw the image of E after it has been enlarged by a scale factor of 2.5 and label it F
   
7. What is the scale factor of enlargement from F to E
   

LESSON: Work through the MyMaths lesson on similarity. Use the question screens repeatedly if necessary.

PLENARY: Checking answers to onscreen questions on teacher screen

Work through Ex 16A on Page 365 –From q2 onwards

PLENARY: How do we know when two triangles are similar?

Mon 9th Assessment of Loci work

LEARNING OBJECTIVE: To test knowledge and understand of Loci problems.

SUCCESS CRITERIA: You will be able to solve loci problems

STARTER: Hand out assessment questions and paper

LESSON: Students to work through questions in silence (exam conditions)

PLENARY: Stop test with 5 mins left to give students a chance to feedback on their confidence with the questions.

Thurs 5th Jan - Locus – Exam type questions and short assessment

LEARNING OBJECTIVE: You will use your skills in constructions to solve exam type problems

SUCCESS CRITERIA: You will be able to solve locus problems using accurate constructions

STARTER: Locus of Tea-Cup Ride

LESSON: Discussion from Starter – encourage students to show suggestions on IWB

20 mins to work through questions from yesterdays lesson

25 mins 'Test' from Assess page in Unit 3 Higher text Book (need paper for answers with compass and Protractors

PLENARY: Checking answers around classroom

 

Tues 3rd Jan / Weds 4th – 2012 – Locus (plural loci)

LEARNING OBJECTIVE: To explore and draw solutions to problems involving the idea of a locus

SUCCESS CRITERIA:

LEVEL D:    You will understand the idea of a locus

LEVEL C:     Construct the locus of points equidistant from two fixed points

        Construct the locus of points equidistant from two fixed lines

        Solve loci problems

STARTER: Q1 page 233 of Unit 3 higher text book – Windscreen wipers

LESSON: Work through the MyMthas lesson on Loci – Set tasks from screens for students to try in their own exercise books

Work through Pages 234 and 235 of Unit 3 Higher etx book – Loci Problems

EXTENSION: Exam questions from Page 237 of Unit 3 Higher Text Book

PLENARY: Checking Answers throughout lesson with individuals / whole class/ tables