17th Dec - Working on D1 Past Papers

LEARNING OBJECTIVE: To prepare for actual exam by attempting a full Past D1 paper in exam conditions

SUCCESS CRITERIA: You will achieve for target grade or higher in this 'mock' exam

LESSON: Hand out exam papers, ensure students are aware of exam rubrick. 

Second 30 mins of lesson 2 is to be used to start marking 

PLENARY: If completed in time check results against grade boundaries, discuss areas for revision.

Tues 18th Dec - Test on Coordinate Geometry in (x,y, Plane)

LEARNING OBJECTIVE: Revision of Work on COordinate Geometry

Students have 30 mins to complete the test. We will then swao scripts and use the mark shcheme to mark each other work

Week Beginning 10th Dec - Working on Sequences Questions

LEARNING OBJECTIVE: Understand how to sum an arithemetic sequence and solve problems involving series.

SUCCESS CRITERIA: YOu will be able to solve problems involving artihmetic series.


Work through exercises 6A, 6B, 6C, 6D, 6E AND 6F AND 6G - deadline is Tuesday for B,C & D 
Friday for E,F and G

Week Beginning 10th Dec - Attempt a Past D1 paper in exam conditions

LEARNING OBJECTIVE: To prepare for actual exam by attempting a fullPast D1 paper in exam conditions

SUCCESS CRITERIA: You will achieve for traget grade or higher in this 'mock' exam

LESSON: Hand out exam papers, ensure students are aware of exam rubrick. Use rest of leeson 1 and 30 mins of lesson 2 to attempt the paper

Second 30 mins of lesson 2 is to be used to start marking the exam paper. Swap scripts and hand out marks schemes so students can mark each others attempts.

PLENARY: If completed in time check results against grade boundaries, discuss areas for revision, with a view to repeatng this exercise with another paper next week..

Fri Dec 7th - working on Sequences questions

LEARNING OBJECTIVE: Understand how to sum an arithemetic sequence and solve problems involving series.

SUCCESS CRITERIA: YOu will be able to solve problems involving artihmetic series.


Work through exercises 6A, 6B, 6C, 6D, 6E AND 6F AND 6G - deadline is Tuesday for B,C & D 
Friday for E,F and G

Thursday 6th Dec - Sum of an Arithemetic Sequence

LEARNING OBJECTIVE: UNderstand how to sum an arithemetic sequence and solve problems involving series.

SUCCESS CRITERIA: YOu will be able to solve problems involving artihmatic series.

LESSON: Remind students of Tuesdays work using the last screens of this lesson.
Then look at summing and arithmetic sequence using this lesson.

Work through exercises 6A, 6B, 6C, 6D, 6E AND 6F AND 6G - deadkine is Tuesday for A,B,C & D Friday for E,F and G

Tues 4th Dec - Sequances ANd Series - Intorduction

LEARNING OBJECTIVE: Discover and use the notation for both inductive and deductive sequences

SUCCESS CRITERIA: You will be able to manipulate and work out values in both inductive and deductive sequences

ENGAGEMENT ACTIVITY:  ou Have 10 mins to solve all parts of all questions in Ex 6A on page 83(old Book) - 93 (new Book)

LESSON: Work through this Lesson  using questions to give students practice with both inductive and deductive sequences

You should now be able to solve all problems in Ex 6B and 6C

PLENARIES: Students checking answers to onscreen questions, support at tables.

Week beginning 3rd Dec - D1 REVISION

LEARNING OBJECTIVE: Revision of D1 Units

SUCCESS CRITERIA: You will be able to solve D1 exam questions on all topics in D1 exam.

LESSON: Work your way through ALL these questions:

Chapter 1 - Page 22 q 2, 4, 7
Chapter 2 - Page 38 - q 3, 4, 5
Chapter 3 - Pages 59 - 2, 3*, Page 60 6, 7
Chapter 4 - Page 75 q5, 6
Chapter 5 - Page 110 q 1, 3 Page 111 q4, 5
Chapter 6 - Page 145 q1, q3 Page 147 q 5

then work through Exam Style Paper Pages 173 - 176

PLENARIES: Checking answers with answer book / cd-rom. working with individual students.

week Beginning 26th Nov - Using Mixed Exercises questions to revise D1 topics

LEARNING OBJECTIVE: Revision of D1 Units

SUCCESS CRITERIA: You will be able to solve D1 exam questions on all topics in D1 exam.

LESSON: Work your way through ALL these questions:

Chapter 1 - Page 22 q 2, 4, 7
Chapter 2 - Page 38 - q 3, 4, 5
Chapter 3 - Pages 59 - 2, 3*, Page 60 6, 7
Chapter 4 - Page 75 q5, 6
Chapter 5 - Page 110 q 1, 3 Page 111 q4, 5
Chapter 6 - Page 145 q1, q3 Page 147 q 5

then work through Exam Style Paper Pages 173 - 176

PLENARIES: Checking answers with answer book / cd-rom. working with individual students.

Thurs 22nd /Fri 23rd Nov - Equation of a straight Line and Intersecing lines

LEARNING OBJECTIVE: You will discover methods for finding equations of lines, parallel lines, intersecting lines and perpendicular lines as well as associated coordinates.
SUCCESS CRITERIA: You will be able to solve A level exam questions on Coordinate Geometry

LESSON: Use these lessons to introduce and consolidate all concepts and processes in coordinate geometry:
Lesson 1 - y = mx +c
Lesson 2 - Equations of a line
Lesson 3 - Intersections of lines

We will use next weeks lessons to practice these concepts looked at this week. I will expect the following to be completed and handed in by 30th Nov

HOMEWORK FROM THESE LESSONS: Ex 5A, 5B, 5C, 5D, 5E plus Question 1,2 & 3 from Mixed Exercises

Weds 21st Nov - Bipartite Matchings

LEARNING OBJECTIVE: To Discover how to use the alternate path matching algorithm to solve Bi-part graph matching problems

SUCCESS CRITERIA: You will understand and know how to use the alternate path algorithm to solve matching problems.

LESSON: Work through this Lesson First, then this lesson

PLENARIES: Checking solutions to on screen problems, students to put answers into interactive on screen questions.

After studying these two lessons you should be able to solve all questions in Ex 6A and 6B

Tues Nov 21st Coordinate Geometry - Straight lines, gradients, intercepts, parallel and perpendicular

LEARNING OBJECTIVE: TO Understand how to use coordinates and Pythagoras theorem to find mid-points, line length and gradients of straight lines

SUCCESS CRITERIA: You will understand how information from coordinates with Pythagoras theorem to find the distance between two points and the gradient of lines

LESSON: Work through these lessons on mid-points and gradients of straight lines - mid-points, gradients

PLENARY: Checking answers to Mymaths screens, giving students a chance to work on on screen problems, supporting at their tables.

Mon 19th nov - Linear programmin - Integer Solutions

LEARNING OBJECTIVE: TO discover how to find integer solutions to linear programming problems

SUCCESS CRITERIA: You will understand why some solutions will require integer answers and be able to find the optimum integer solution to a problem.

LESSON: Work through this Lessson:
You should now be able to solve all problems in Ex 6D, and 6E

Thurs 15th / Fri 16thNov - Sketching Curves by considering transformations

LEARNING OBJECTIVE: To quickly sketch curves through understanding how transformations of curves affect them.

SUCCESS CRITERIA: You will be able to sketch quadratic, cubic, and reciprocal curves using transformations

ENGAGEMENT: Hand back tests, feedback on test results - retesting, after school revision for test

LESSON: Use this Notebook file to help revise work on curve sketching

Students to continue working through Exercise 4E, 4F & 4G

HOMEWORK FOR TUESDAY 20th Nov - Make sure you have nothing missing from last weeks homework - Ex 4A, 4B, 4C, 4D and then make sure ex 5E, 4F, 4G, and question 5 from 4H.

Tues 13th Nov - Test on Equations & Inequalities (30 mins) The more on Plotting Curves

LEARNING OBJECTIVE: Understand how to solve exam style questions on Inequalities and Simultaneous equations

SUCCESS CRITERIA: You will gain your predicted grade in the test.

LESSON: Students have 30 mins to answer questions on test.

When they finish they are to continue you with Ex  4E, 4F, 4G and Q5 from Ex 4H

PLENARIES: Checking answers, supporting students at their tables.

HOMEWORK: EX 4E, 4F, 4G and q5 from Ex 4H (You will have Thursdays lesson time towards this as well as homework time)

Mon Nov 12th / Weds Nov 14th - Formulating and illustrating graphically a Linear programming problem

LEARNING OBJECTIVE: Discover how to formulate a linear programming problem and then illustrate it graphically.

SUCCESS CRITERIA: You will be able to illustrate a linear programming problem graphically.

LESSON: Work through this lesson  MyMaths - Formulating a Problem. You Should now be able to solve all problems in Ex 6A

Work through this lesson , You should now be able to solve ex 6B (provide Graph Paper for each question)

HOMEWORK: Ex 6A and 6B completed for Friday 16th November

Thurs / Fri 9th and 10th Nov - Plotting and transforming curves

LEARNING OBJECTIVE: A chance to work though Plotting curve problems.

SUCCESS CRITERIA: You will be able to sketch quadratic, cubic, reciprocal and square root functions and be able to find the coordinates of intersections with the axes and intersections of two curves.

LESSON: Work through Exercise 4D and 4E in C1 text Book.
Please check answers to each question as you complete them.

As I am not in school on Friday PM please leave ALL HOMEWORK with Mr Nathan in Maths Dept - this should include ALL QUESTIONS from Ex 4D plus

Homework for FridayNov 10th - Ex 4A, 4B, 4C

HOMEWORK FOR NEXT FRIDAY: EX 4E, 4F, and 4G

Weds 7th Nov- Critical Path Analysis - questions to solve

LEARNING OBJECTIVE: Understand all the concepts and techniques associated with Critical Path Analysis questions
SUCCESS CRITERIA: You will be able to solve D1 Critical Path Analysis exam questions

LESSON: Students to use the lesson time to work through all exercise in CHapter 5 plus Q 5 of Mixed Questoins exercise

Mon 5th Nov - Gantt CHarts & Scheduling as Project

Work through Mymaths Lesson on Scheduling & Gantt charts
5A,5B,5C,5D,5E For Fri 9th Nov
5F,5G,5H,Plus q5 from 5I to be completed fof Fri Nov 16th

Tues 6th November- Sketching two functoins on a pair of axes and show points of intersections and solutions to equations

LEARNING OBJECTIVE:Plotting two functions on a pair of axes and plotting ALL intersections and solutions to equations

SUCCESS CRITERIA: You will be able to efficiently sketch graphs of functions and use algebraic techniques to show intersections and solutions to equations: Techniques will include factorising, simultaneous equations and knowledge of intercepts

STARTER: Feedback from homework, revision of plotting curves to be help determine which set of values are the solution to an inequality
examples to use:

• Ex 3E - 5b -  x² – 5x – 14 >0
• Ex 3E - 7b  - (x - 1)(x + 2) > 18
• Ex 3E q9 - Find the values of k for which kx² + 8x + 5 = 0 has real roots 
• Ex 3E - Q 11b Find the set of values for which 

       2(x + 1)(x - 4) - (x - 2)² >0

PLOTTING 2 functions 
Example 8 page 48 - On the same diagram sketch the curves with equations y = x(x - 3) and y = x²(1 - x) then find the coordinates of the points of intersection

Example 9 page 49 On the same diagram sketch the curves with equations y = x²(x - 1) and y = 2/x
Explain how your sketch shows that there are two solutions to the equation x²(x - 1) - 2/x = 0  ( NB solving this algebraicaly is beyond the skills of C1)

Work through Ex 4D (Part of homework for Friday 17th Nov)

Homework for FridayNov 10th - Ex 4A, 4B, 4C

Fri 26th Oct - Opportunity to sketch curves from exercises in text book with My support

LEARNING OBJECTIVE: To Practice plotting and transforming graphs

SUCCESS CRITERIA: You will be able to sketch any quadratic, cubic or reciprocal graph

LESSON: Students start working on exercises that have been set to be completed for 10th November

WORK DUE IN: Ex 3D, 3E and 3F

Homework for FridayNov 10th - Ex 4A, 4B, 4C

Weds OCt 24th - Critical Activities, Critical Events, Critical Path and Activity Float

LEARNING OBJECTIVE: You will discover how to find critical events & activies from a network and from these work out the critical path(s). You will also discover how to work out the total float of an activity

SUCCESS CRITERIA: YOu will be able to analyse an activity netwrok to discover the critical path and be able to determine the total float of the activities in the network

LESSON: Using these two lessons develop the sklills of criticla path analysis

Crtical Activites, Events and Critical Path

Time analysis including Gantt Charts

HOMEWORK: 5C, 5D, 5E, (5F??)

Thurs 25th Oct - Sketching Curves (Cont)

LEARNING OBJECTIVE: Discover how to sketch a reciprocal graph and transform a quadratic/cubic and reciprocal  graph

SUCCESS CRITERIA: You will be able to sketch and transform quadratic, cubic and reciprocal graphs.

LESSON:  Work through these lessons:

Sketching Graphs
Reciprocal Graphs (from Screen 4 onwards)
 Transforming Graphs


Homework for FridayNov 10th - Ex 4A, 4B, 4C

Tues 23rd Oct - Sketching Curves

LEARNING OBJECTIVE: Discover how to sketch a cubic graph once it is in factorised form
SUCCESS CRITERIA: You will be able to sketch a quadratic curve by discovering its roots and +ve and -ve limits

LESSON: Look at plotting the following cubic graphs

• y = (x-2)(x-1)(x+1)
• y=(x-2)(1 - x))(1+x)
• y = x(x+ 1)(x + 2)
• Y=(x-1)² (x+1)
• Y=x³ - 2x² -3x

Now work through this Mymaths Lesson on recognising and tranforming graphs

Mon Oct 21st - Critical Path Analysis - Forward and Backward passes and Critical activities

LEARNING OBJECTIVE: You will discover how to carry out forward and backward passes using early and late event time, to identify critical events and critical paths.

SUCCESS CRITERIA: Given an activity network(or a precedence table) you will be able to identify the critical activities / critical path.

LESSON:  Earliest / Late Event Times, Critical Path 

PLENARIES: Checking understanding with students / Getting them to complete onscreen activities and/or complete them in books and check against answers on the screen

Fri 19th OCT - Working on Linear and Quadratic Equation Questions / Remedial work from Test/Re-test.

LEARNING OBJECTIVE: An Opportunity to solve problems using techniques we have developed during this weeks lessons

SUCCESS CRITERIA: You Will be able to solve linear and quadratic exam questions.

LESSON: Work through Ex 3D, 3E  and 3F - all to be completed for homework for Next Friday

PLENARIES: Supporting students at their desks when in difficulty, checking answers from text book

Weds 15th Oct - Critical Path Analysis - Precedence tables & Activity Networks

LEARNING OBJECTIVES: Understand how to model a project using an activity network, Build a network from a Precedence table

SUCCESS CRITERIA: You will be able to model a project by creating a precedence table and then an activity network from that precedence table.

LESSON: Feedback from D1 Test.

Intro to Critical Path Analysis using these lessons:CPA 1 - Precedence tables, CPA 2 - Use of Dummies

HOMEWORK: Read through Example1 on page 88m example 2 on page 89 and Example 3 on page 90. All questions from Ex 5A and 5B if we manage to work thorugh Dummies Lesson 

Tues 16th / Thurs 18th OCT - Solving Linear and Quadratic Inequalities

LEARNING OBJECTIVE: Discover how the rule snad techniques for solving equations can be appllied to inequalities

SUCCESS CRITERIA: You will be able to solve linear and quadratic inequalities.

REMEMBER: If you multiply or divide by a negative number in an inequalities the sign switches over.

LESSON: Work through thes two lessons: Linear inequalities, Quadratic Inequalities

HOMEWORK: Ex 3D and Ex 3E  PLUS EX 3F

Mon 15th Oct D1 test

Today we will use the lesson to test the first 3 chapters of D1

Fri 12th OCT - Solving Simultaneous equations and Linear Inequalities

LEARNING OBJECTIVE: To review methods for solving linear equations and linear inequalities
SUCCESS CRITERIA: You will be able to solve  simultaneous equations using Elimination and substitution methods, You will be able to solve linear/quadratic equations using substitution methods
You will be bale to solve linear inequalities using similar methods you are aware of for solving equations

LESSON: Examples to work through on IWB demonstrating both elimination and substitution methods:

1. 2x + 3y = 8, 3x - y =23
2. 4x - 5y = 4, 6x + 2y = 25
3. 2x - y = 1, 4x + 2y = -30
4. x + 2y = 3, x² + 3xy = 10
5. 3x - 2y = 1, x² +y² = 25

HOMEWORK FOR FRIDAY 19th OCT Ex 3A, 3B, 3C

Examples of solving linear inequalities or pairs of linear equations

1. 2x - 5 < 7
2. 6x + 9 ≥ x + 20
3. 12 - 3x < 27
4. 3(x - 5) > 5 - 2(x - 8)
5. 3x - 5 < x + 8 and 5x > x - 8
6. x - 5 > 1 - x and 15 - 3x > 5 + 2x
7. 4x + 7 > 3 and 17 < 11 + 2x

Show how draw results using a number line

HOMEWORK FOR FRIDAY 19TH OCT Ex 3D

Thurs 11th Oct - Review / Analysis of Core 1 Test 1 - ALgebra

LESSON OBJECTIVE: To review all 12 questions from test 1 - revising all topics covered so far in C1 C-course
SUCCESS CRITERIA: You will be in a position to gain your target grade in the re-test next week

ENGAGEMENT ACTIVITY: Hand Back Marked Scripts

LESSON: Work through all questions pointing out where mistakes were made / how marks were allocated - guidance on what to learn/revise/remember for resit of test and C1 exam

Encourage feedback / contributions from students

PLENARY: Feedback from students on confidence, questioning from students over areas of misunderstanding and weaknesses.

HOMEWORK REMINDER FOR FRIDAY, Check on what is expected by next Friday

Mon Oct 15th - D1 test - First Three CHapters

Test

Tues 9th - c1 test on Algebra - Chapters 1 & 2

Algebra Test

Test Aswers

Mon Oct 8th -ROute INspection Problem (Chinese Postman Problem)

LEARNING OBJECTIVE: TO Discover when a Network is traversable and to use the route inspection algorithm to find the shortest inspection cycle in a network.
SUCCESS CRITERIA: You Will Understand how to spot a traversable network and know how to solve Route Inspection Problems - finding the shortest inspection cycle route.

LESSON: Work thorugh these two lessons: Route Inspection 1, Route Inspection 2

HOMEWORK: Ex 4a, 4b and 4c

Weds - 3rd Oct - Working on Prims,Kruskals and Djiktra's Algorithms

LEARNING OBJECTIVE: To develop the use of algorithms to solve network problems
SUCCESS CRITERIA: You will be able to solve exam level problems involving Prims, Kruskals and Djikstra's algorithms

LESSON: Work through Exercise 3C, 3D and 3E.

PLENARY: Checking answers / supporting students

YEAR 11 Students: To continue working on Prims and Kruskals Algorithms via MyMaths Exercises, then try to complete Ex 3A, 3B and 3C
PLENARY: Supporting them working through on-line exercises.

Tue 2nd OCt - Review of Chapters 1 & 2 - Practise Test

LEARNING OBJECTIVE: TO have the opportunity to review all topics in first two chapters of C1 in preparation for a 1 hour test.

SUCCESS CRITERIA: You will be able to solve all the test questions with little problem

ENGAGEMENT ACTIVITY: Return homework's, feedback opportunity to ask questions - read comments.

LESSON: Use this Practise Paper test, Practise Paper model answers.

Use these questions to revise chapter 1 & 2 ready for the test at end of this week.

PLENARIES: Supporting students - individually/at tables/as a group depending on need. Let students use model answers to self mark / peer mark

Mon 1st Oct - Dijkstra's Algorithm to find the shortest path between two vertices in a network.

LEARNING OBJECTIVE: Discover how to use Dijkstra's algorithm  to find the shortest route between to vertices in a Network.
SUCCESS CRITERIA: You will be able to find the shortest route between two vertices in a network using Dijsktar's algorithm

LESSON: Work thorugh this Lesson, using question screens with students.

Part 1
Part 2
Part 3

PLENARY: Checking Answers, Supporting Students as they work thorugh problems

Fri - Sep 28th - Solving a quafratic Equatoin using "the Formula"

LEARNING OBJECTIVE: DIscover and use  'The Formula" for solving quadratic equations

SUCCESS CRITERIA: : You will be able to solve any quadratic equation using the quadratic formula

ENGAGEMENT ACTIVITY: 

LESSON: Use this lesson to show how to use "The Formula" to solve quadratic equations

HOMEWORK: After this weeks lessons you should now be able to work thorugh Ex 2C, D and 2E (Deadline is Oct 5th)

Thurs 27th Sep - Solving a quadratic by completing the square

LEARNING OBJECTIVE: You will discover how to complete the square to rewrite an equation and then be able to solve it.
SUCCESS CRITERIA: You will be able to solve an equation by completing the square

ENGAGEMENT ACTIVITY: Hand back Homework - feedback, comments.....

LESSON: Work through this lesson on completing the square to solve a quadratic.You Should now be able to solve a quadratic by completing the square - Ex 2C page 18 (Friday Oct 5th)

IF time start looking at solving an Equation using THE FORMULA

PLENARIES: Using questions on screen to check student work, repeating questions with different numbers where necessary.


NB Students who were present on Tuesdays Lesson are to work through Exercise2C and 2D on pages 18 and 19.

Tues 25th - Solving a quadratic by completing the square

LEARNING OBJECTIVE: You will discover how to complete the square to rewrite an equation and then be able to solve it.
SUCCESS CRITERIA: You will be able to solve an equation by completing the square

ENGAGEMENT ACTIVITY: Hand back Homework - feedback, comments.....

LESSON: Work through this lesson on completing the square to solve a quadratic.You Should now be able to solve a quadratic by completing the square - Ex 2C page 18 (Friday Oct 5th)

IF time start looking at solving an Equation using THE FORMULA

PLENARIES: Using questions on screen to check student work, repeating questions with different numbers where necessary.

Mon 24th Sep - PRims Algorithm using an incidence MAtrix &

LEARNING OBJECTIVES: Discover how to complete Prims algorithm using an incidence matrix,  Discover how to find the shortest route between two vertices using Djikstr'a algorithm
SUCCESS CRITERIA: You will be able to find a minimum spanning tree using Prims algorithm on an incidence matrix. You will understand the basic concepts of Djikstra's algorithm to find the shortest route between two vertices on a network.
LESSON: 
Minimum Spanning Tree - Prims algorithm using an incidence matrix.

Finding the shortest route between two vertices on a network using Djikstra's Algorithm - Part 1, Part 2.

Use lessons with students solving problems together and also trying them individually.

PLENARY: Checking answers with students, supporting them whilst working on individual questions

Weds 19th Sep - Kruskals Algorithm & Prims Algorithm to find minimum spanning tree

LEARNING OBJECTiVE: To understand how to find the minimum spanning tree using Kruskals and prims Algorithms

SUCCESS CRITERIA: You will be able to find a minimum spanning tree using either of the algorithms.

LESSON:
Explain Kruskals Algorithm using This Lesson
Explain Prims Algorithm Using this Lesson

Use questions in lesson to give students practice.

PLENARIES: Constant checking with students for understanding. Use questions on lesson for student practice:

HOMEWORK: Ex 3A and 3B for Friday 21st

Tues Sep 17th Plotting Quadratic Equations and Solving Quadratics using Factorisation

LEARNING OBJECTIVE: TO Revise graphin Quadratics by plotting coordinates and Solving quadratics using factorisation
SUCCESS CRITERIA: You will be able to find a set of coordinates from the equation of a quadratic and then plot the quadratic on graph paper. You will be able to solve a quadratic using factorisation

ENGAGEMENT ACTIVITY
Watch this Video

LESSON:

More work on solving Quadratics using factorisation via This Lesson.

You should now be able to work through Ex 2A (on Graph paper) and 2B (Deadline Friday 28th)

Mon Sep 17th - Graphs and Networks (Chapter 2) Introduction

LEARNING OBJECTIVE: Discover how graphs and Networks can be used to create mathematical models
SUCCESS CRITERIA: You will be able to use and understand the terminology and concepts needed in graph theory

LESSON:
Introduction to Graphs
Types of Graph
Defining GRaphs

Read and Learn all the different types of graphs listed on pages 32 and 33 of the New text book.
You should now be able to answer all questions in Ex 2a, 2b, 2c

PLENARY: Checking responses to onscreen questions, support of individuals when they are trying to answr questions / solve problems

Thurs/Fri - 13th/14th Sep - Surds - Review of Chapter 1

LEARNING OBJECTIVE: Why Surds?, Simplifying Surds, Rationlising a Fraction with a Surd Expression on the denominator
SUCCES CRITERIA: You will be able to Simplify a SURD and be able to rationalise a fraction with a Surd expressions in the denominator.

LESSON: Work Through these lessons:
Surds 1
Surds 2

You Should now be able to complete all questions in Ex 1E, 1F,1G &  1H - Deadline for these handing in is Friday 21st September

PLENARIES: Feedback from MyMthas lesson, Checking around room for progress / understanding. Participation on IWB.

Weds Sep 12th - Bin Packing Algorithms

LEARNING OBJECTVIE: To Understand how to implement Bin Packing algorithms and be aware of their limitations
SUCCESS CRITERIA: YOu WIll Understand how to implement the Full-bin, Firt Fit, and First Fit decreasing algorithms to solve Bin Packing Problems

LESSON
First Fit Algorithm Lesson
First Fit Decresing Algorithm
You Should now be in a position to complete all exercise in Chapter 1 - ie Ex C, D & E (we will use the mixed exercise in a couple of weeks as revision)

PLENARIES: CHecking answers to on screen problems together / using feedback from Lesson

Tues 11th Sep - FActorising Expressoins and Quadratics, including Difference of two Squares

LEARNING OBJECTIVE: TO revise methods of factorising expressions and quadratics especilaly specila case of Difference of two squares.
SUCCCESS CRITERIA: You will be able to factorise expressions and quadratics

LESSON: Work thorugh this lesson to recap on factorising quadratics and How to SPot D.O.T.S.

You Sould now be able to answer questions in Ex 1E and remembering what we did last Friday Ex 1F

HOMEWORK DUE THIS FRIDAY: Ex 1A, 1B, 1C, 1D

HOMEWORK For Next week (Friday) Ex 1E, 1F 1G and 1H

Mon 10th Sep - Bubble Sort and Quick Sort

LEARNING OBJECTIVE: Understand and be able to carry out a bubble sort and a quick Sort

SUCCESS CRITERIA: You will be able to show all the steps to carry out a bubble sort and a quick sort

LESSON: Work throught the Bubble Sort Lesson and the Quick Sort Lesson

You should now be able to complete ex 1C

PLENARY: Encourage participation at IWB from all students, double check answers when they are having a go themselves

Weds 5th - year 13 intro to D1

LEARNING OBJECTIVE: Use and understand algorithms givern in words or a flowchart

SUCCESS CRITERIA: You will be able to follow an algodithm and explain what process the alorith is taking you thorugh.

ENGAGEMENT ACTIVITY: - the Happy Algorithm
Step 1: Write down any integer
Step 2: Square its digits and find the sum of the squares
Step 3: if you answer is one your starting number is 'Happy' If not 1 goto to step 1 with this new number.

NB If you get stuck in a cycle without reaching 1 the starting number is 'Not Happy'

LESSON: Work thorugh this Lesson and this lesson on Algorithms and Flowcharts.

PLENARY: Feedback from onscreen work.

HOMEWORK: Ex 1A and 1B

Thurs 6th/Fri 7th Sep - year 12 Intro to A Level Course / Start C1

LEARNING OBJECTIVE: Outline the demands of the course and the way lessons are split. Expectations, workload, homeowrk - lesson blogs etc. Look At C1 Algebra work

SUCCESS CRITERIA: You will be aware of what is expected of you in this A level Maths course and be able to:
Sinmplify Algebraic expressions Including indices
Expand and Simplify Algebraic expressions including brackets
Factorise simple expressions and quadratic expressions

ENGAGEMENT ACTIVITY: Ex 1A  page 2

LESSON:

• We are Following the Edexcel Modular A Level Course, aiming to complete C1, C2 and S1 modules to complete your AS Maths in Year 12.
• 3 lessons per week with Mr Sp8 - C1  (aiming for January entry)
• 2 Lesson per week with Mr Nathan - S1 (possibly aiming for January Entry - depends on progress!!)
• Homework will be set by both staff - at least 5 hours per week (on average)
• You will check (and Mark) your own work from answers in Exercise book / CD Rom) and also hand in for double checking by staff
• You will always have plenty of time to complete homework tasks, never set work to be completed the following day
• We will use iforms and *forms system to congratulate / Chastise where appropriate
• We will always be available for extra support/explanations, but prior notice to arrange this may be necessary - speighk01@leedslearning.net, nathanm01@leedslearning ,net
• We will aim for A grades (100%) at all times.
• We will test regulalry and if you do not reach or exceed your target grades in a test you will have to revise and retake further tests until you do (in your own time)
• Please be aware that A level maths requires this extra time input every week, you will not be successful trying to 'cram' in the weeks before the exam.

C1 - Chapter 1 

Checking any problems with Ex 1A

Rules of Indices - Multiplying, Dividing - Ex 1B

Algebra revision

Expanding and Simplifying - Ex 1C

Factorising Expressions - Ex 1D

Review of Ex 2b,2c,2d and 2E - More on Functions

LEARNING OBJECTIVE: TO Develop further skills in handling Functions - Odd even and Periodic Functions


SUCCESS CRITERIA: You will be able to solve C3 exam questions on Functions


LESSON - Revision from exercises in text book:
NOTES: CAre with presentaion - much work was dificult to follw - all questions should be labelled as the question
CAreful not to miss sections - EG Q 2C1 parts i and ii
Careful with notation when defining the range and domain - show examples
Ex 2C q 5,6 & 7
Composite functions - Carefull!! remember the functions work 'Inside out'
Q 6,7, & 8 - proofs - dealing with a fraction on the bottom of a fraction


Ex E needs FINISHING by EVERYBODY!!!


Use This Lesson to develop ideas of odd, even and periodic functions


WEDNESDAYS LESSONS WORK Ex 2F page 28,29.


Use page 30's summary to make yourself some Revision cards / prompts to regularly check the main points from the functions chapter - Anyone fancy making a short video from these points over summer!!!


SUMMER WORK_ Work Through ALL Extra MyMaths Homeworks I have set you all - 6 in all repeat until ALL SIX are at least green but ideally 100%

Mon 25th / Weds 17th – Exercises to consolidate Work oin Functions

LEARNING OBJECTVIE: Practice solving problems on functions

SUCCESS CRITERIA: After completing all the work in Chapter 2 you should be able to:

• Represent a mapping by a diagram, an equation or a graph
  
• Understand the terms: FUNCTION, DOMAIN and RANGE
  
• Combine two or more functions to make a composite function
  
• Know the diference between a 'one to one' and a 'many to one' function
  
• Know how to find the inverse of a function
  
• Know the relationship between the graph of a function and its inverse
  

LESSON: Work through Ex 2c,2d and 2E

If appropriate (ie are students ready) Work through a revision lesson on Transforming graphs

Also possible extension work is

Lesson on odd, even and periodic functions

Modulus graphs

Weds Jun 13th / Mon June 18th – Introduction to Functions – (C3 Chapter 2)

LEARNING OBJECTIVE: Discover how to represent a function as a mapping diagram, equation, or graph, and understand what is meant by domain, range and composite function

SUCCESS CRITERIA: You will understands the terms, Domain, Range and Composite function and will be able to represent functions as mapping diagrams, equations or graphs.

DEFINITION: A mapping transforms one set of numbers into a different set of numbers. The mapping can be represented in words or through an algebraic equation. It can also be represented by a Cartesian graph

LESSON:

Look at the two examples on page 13 of text book. Work through them with students extablishing what is meant by domain and range.

Give them 15 mins to have a go at Ex A on page 14

Now work through this lesson, giving time to solve the question screens. Get students up to screen as much as possible to lead the work themselves.

HOMEWORK (To be completed and handed in by next Weds) Ex 2B page 16and by week after Ex 2C page 19

Mon May 14th – Coordinates in three dimensions

LEARNING OBJECTIVE: To understand and use coordinates in 3 dimensions to fix a point in space

SUCCESS CRITERIA: You will be able to work out the coordinates of points in 3D given x, y, z axes.

STARTER:

LESSON: Use this Lesson to show the concepts of Coordinates in 3 Dimensions.

Try and solve this puzzle

Work through These Questions

PLENARY: Checking Answer

 
 

Tues/Weds Apr 24th/25th – more Integration Practice

LEARNING OBJECTIVE: TO practice using various Integration techniques to solve problems

SUCCESS
CRITERIA: You will be able to solve Integration examination questions

LESSON: Work through ex 6L page 118 of C4 Text Book

Fri Apr 20th – Review of Integration Techniques

LEARNING OBJECTIVE: TO Revise methods used/needed to integrate various functions

SUCCESS CRITERIA: You will be able to integrate any function.

LESSON: Work through this lesson

Give students a chance to discuss various techniques shown.

Any Time Look at associated homework with this lesson, encourage finishing homework off in their own time.

Tues Apr 17th - Solids of Revolution

LEARNING OBJECTIVE: Understand how to use integration to find the volume of a solid defined by a function and rotated around the x or y axis

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

LESSON: Work through this lesson, using question screens to give students lots of practice

PLENARY: Checking answers

If time have a go at questions in Ex 6I page 113

PLENARY: Checking answers

 

Fri Mar 30th – Integration by parts

LEARNING OBJECTIVE: Discover and use the Integration by Parts methods

SUCCESS CRITERIA: You will be able to solve difficult Integration using the 'by parts' method

LESSON: Work through the two Mymthas Lessons

1. Integration by parts
   
2. Integrating twice by parts
   

HOMEWORKS:

You should be able to solve the problems in Ex 6E from our previous work

You should be able to solve the problems in Ex 6G

 

Tuesday Mar 20th – Integrating Fractions

LEARNING OBJECTIVE: To discover and use processes to integration fractional functions

SUCCESS CRITERIA: You will be able to integrate a function when it is written as a fraction

LESSON: Work through the lesson on Integrating Fractions, use questions screens repeatedly to give students lots of practice where needed.

PLENARY: checking answers, individual support.

HOMEWORK: Integrating Fractions on MyMaths

Fri – Mar 16th – Integration by inspection & Integrating exp(x) and 1/x

LEARNING OBJECTIVE: Recap on the principles of Integration and then how to solve integration by thinking of the reverse of differentiation, including exp(x) and 1/x

SUCCESS CRITERIA: You will be able to solve simple integration problems using inspections methods

LESSON: Work through these two lessons, using question screens to give students an oppoertunity to solve some integrations themselves.

Integrate By Inspection and Integrate exp(x) and 1/x

PLENARY: Checking student results, discussion on methods, support of individuals

HOMEWORK: The two online homeworks for each of the above lessons has been set to be completed BEFORE Tuesdays lesson.

 

Weds 7th March: How to Calculate the angle between two lines

LEARNING OBJECTIVE: Discover how to work out the angle between two lines

SUCCESS CRITERIA: You will be able to find the angle between two lines defined with vector equations

LESSON: Work through This Lesson. Use Question screens to give students an opportunity to develop their skills.

Any time left in lesson work through Ex 5j page 82.

HOMEWORK: Complete Ex 5j and the first 8 questions of 5K for Weds 14^th March you have Fridays lesson to use towards this work)

Tues 6th March – Intersecting lines in 2d and 3d

LEARNING OBJECTIVE: Discover how to show that two lines either intersect of are parallel in 2D or Intersect, are parallel or are skew in 3D

SUCCESS CRITERIA: You will be able to show that two lines intersect or are parallel (or are skew in 3d), also find the coordinates of the point of the intersection if the lines do intersect.

LESSON: Work through This Lesson on IWB. Use the question screens with students to help them practice the skilss demonstrated. If any time left in lesson have a go at Ex 5l page 80

HOMEWORK: Complete Ex 5l (for Weds 14^th March)

Fri 2nd Mar – Vectors – Angle between two vectors and Vector Equation of a Line

LEARNING
OBJECTIVE: To solve exam level questions on Angle between two vectors and Vector Equation problems

SUCCESS
CRITERIA: You will be able to solve all problems

LESSON: Students have this hour to work through Ex 5G and 5H with my Support.

HOMEWORK: Both exercises must be completed for Next Wednesdays lesson

Tues 28th Feb – More Work on Scalar Product of Two Vectors

LEARNING OBJECTIVE: Use the Scalar product to find the angle between two lines and use tha scalar product to determine whether two lines are perpendicular or not.

SUCCESS CRITERIA: You will be able to find the angle between two lines and decide whether two lines are perpendicular or not.

LESSON: Work through this lesson (vey slowly!) using the examples for students to practice on.

If time have a look at Example 28 in Text book on page 73

Have a go at Ex 5G pages 74 & 75

Fr Feb 24th – Intro to Scalar Product of two vectors

LEARNING
OBJECTIVE: You will discover how to evaluate the angle between vectors

SUCCESS
CRITERIA: You can work out the angle between two vectors.

LESSON: Use the first four screens of this Lesson to introduce and practise finding the scalar product of two vectors.

Screen three to be used for worked examples and there are some questions to have a go at on Screen 4

HOMEWORK REMINDER: Ex 5D, 5E and 5F for next Tuesday

Tues Feb 21st – Vectors and Coordinates in 3 Dimensions

LEARNING
OBJECTIVE: Explore vectors and coordinates in 3 dimensions

SUCCESS
CRITERIA: You will be able to solve vector problems in 3 dimensions

LESSON: Use this lesson to introduce and develop vector manipulation in 3D

Use questions in lesson to give students a chance to solve some problems of their own

Solve problems in Ex 5D and 5E (homework for Tuesday 28^th)