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