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Worksheettextbook

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Worksheettextbook

Sample Scheme of Work and

Lesson Plans

OCR GCSE in Mathematics B: J567

Foundation Silver/Higher Initial Stage

This Support Material booklet is designed to accompany the OCR GCSE Mathematics B

specification for teaching from September 2010

? OCR 2010

Introduction 3

    Sample Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage 4

    Sample Lesson Plan GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage 23

    Published Resources 24

2 of 25 GCSE Mathematics B

    In order to help you plan effectively for the implementation of the new specification we have produced sample schemes of work and lesson plans for Mathematics B. These support materials are designed for guidance only and play a secondary role to the specification. Each sample scheme of work and lesson plan is provided in Word format. You should use it as a foundation to build upon, and amend or add to the content to suit your teaching style and learners‟

    needs.

    This booklet provides examples of how to structure the teaching of this Stage; the teaching hours are suggestions only.

    The specification is the document on which assessment is based and specifies what content and skills need to be covered in delivering the course. At all times, therefore, this support material booklet should be read in conjunction with the specification. If clarification on a particular point is sought then that clarification should be sought in the specification itself.

GCSE Mathematics B 3 of 25

     Sample GCSE Scheme of Work

    Suggested Topic 3 hours FSN1/HIN1 - Calculating with fractions teaching time

    Suggested teaching and Topic outline Suggested resources Points to note homework activities

    ; Multiplication of simple fractions. ; Banks of questions ; This does not include multiplication and Multiply and divide simple Could demonstrate method with division of mixed numbers. fractions diagrams, eg 1/3 of 1/4: show 1/4 being

    divided into thirds to demonstrate that

    answer is 1/12, building on knowledge

    of finding a fraction of a quantity

    ; Division of simple fractions, starting

    from concepts such as “how many

    halves are there in 4?” into division as

    multiplicative inverse

    ; Addition and subtraction of mixed Add and subtract fractions numbers

    ; Recap and build on skills of converting

    mixed numbers into improper fractions

    and adding and subtracting fractions

    4 of 25 GCSE Mathematics B

     Sample GCSE Scheme of Work

Suggested Topic 3 hours FSA1/HIA1 - Formulae teaching time

    Suggested teaching and Topic outline Suggested resources Points to note homework activities

    ; Substitute values into expressions and Use real-life formulae and those in other subjects, such as ; Eg (1) 4x 2; Use and generate 2formulae science, where possible. ; (2) 3x + 4; formulae. Substitute 3; Generate simple formulae and use to ; (3) V = 2a positive and negative calculate unknown values numbers into a formula or

    an expression

    GCSE Mathematics B 5 of 25

     Sample GCSE Scheme of Work

    Suggested Topic 2 hours FSG1/HIG1 - Lines and angles teaching time

    Suggested teaching and Topic outline Suggested resources Points to note homework activities

    ; Deducing the theorems: ; Appropriate software Understand and use the

    ; Use of dynamic geometry software to ; or straws (or similar) plus angle measurers angle properties of demo angles or ; Worksheet/textbook parallel and intersecting ; Straws/Sticks: give pairs of students 3 lines × sets of 3 straws. Ask them to arrange

    1st set with one intersection, 2nd set

    with two intesections, 3rd set with three

    ; Draw results and measure all angles -

    ask students to explain what they notice

    ; Link observations to angle theorems:

    vertically opposite angles and parallel

    lines

    ; Find missing angles, giving reasons for

    answers

    6 of 25 GCSE Mathematics B

     Sample GCSE Scheme of Work

    Suggested Topic 2 hours FSS1/HIS1 - Probability teaching time

    Suggested teaching and Topic outline Suggested resources Points to note homework activities

    ; Introduce/recap basic ideas about ; An amusing video for introducing probability (requires access to YouTube.com): Identify different mutually http://www.youtube.com/watch?v=CEYoU5BhGl4 - can ask students what the given probability means probability exclusive outcomes and and whether they agree with it ; Probabilities from mutually exclusive know that the sum of the outcomes find from various given probabilities of all these scenarios. Start with simple situations outcomes is 1 and questions, such as boys and girls.

    Suggested Topic 2 hours NFSN2/HIN2 - Fractions and percentages teaching time

    Suggested teaching and Topic outline Suggested resources Points to note homework activities

    ; The problem - give students an ; Bank of questions and/or newspaper headlines (can ; Will need to include examples where Express one quantity as a example e.g. 3 different test scores as fractions are given explicitly and where generate your own headlines here: fraction or percentage of fractions with different denominators. students write the amount as a fraction http://www.fodey.com/generators/newspaper/snippet.asp), another Ask which is best score. Discuss why it Survey results etc is difficult to compare

    ; The solution - change to percentages.

    Use examples to practice

    ; Students could also use examples from

    newspapers/magazines/surveys, eg x

    out y people agreed with this statement

    - what percentage is that? What

    percentage of home/away games has a

    football team won etc

    ; Percentage profit (or

    loss/increase/decrease: How to

    calculate

    GCSE Mathematics B 7 of 25

     Sample GCSE Scheme of Work

    Suggested Topic 2 hours FSA3/HIA3 - Brackets teaching time

    Suggested teaching and Topic outline Suggested resources Points to note homework activities

    ; Multiply out single brackets ; Support worksheet: multiply out single brackets Manipulate algebraic http://dl.dropbox.com/u/588647/algebra/mult-out-single-; Link to numeric examples: discuss how expressions by multiplying brackets.doc (Word)/ to calculate eg 2(3 + 4), 5(7 - 3), 8(10 - a single term over a http://dl.dropbox.com/u/588647/algebra/mult-out-single-3) and area of compound shapes, eg bracket and by taking out brackets.rtf (RTF) 7 4 common factors nb Final section is a „gap fill‟ starting to think about 3 factorisation skills, but factorisation not mentioned at this

    point ; Two ways of approaching these. ; Get some more practice with brackets section of ; Then consider algebraic examples e.g. PacAlgebra game from www.10ticks.co.uk : 2(x + 4), 5(7 - y), 8(10a ? 3) http://www.10ticks.co.uk/s_showGames.aspx?gameid=

    ; Introduce technique of multiplying 23

    out/expanding brackets ; Support worksheet: factorising:

    ; Multiply out brackets - more complex http://dl.dropbox.com/u/588647/algebra/factorising-

    examples: eg 3 terms inside bracket, intro.doc (Word)/

    more challenging algebra http://dl.dropbox.com/u/588647/algebra/factorising-

    intro.rtf (RTF) ; Factorising: Single brackets. Could use

    a „gap fill‟ exercise with partially

    completed examples to introduce

    factorisation skills

    8 of 25 GCSE Mathematics B

     Sample GCSE Scheme of Work

Suggested TOPIC 3 hours FSG2/HIG2 - Constructions teaching time

    Suggested teaching and Topic outline Suggested resources Points to note homework activities

    ; Construct triangles etc could demo ; http://www.mrreddy.co.uk/geometrytoolbox.swf ; If students all use same size of circle to Construct triangles and methods either on paper, or ask groups start with, provides opportunity for displays ; Rulers, angle measurers etc other 2-D shapes using a of students to follow different examples of tessellating/non-tessellating polygons ; Card, rulers, angle measurers etc ruler and a protractor, from textbook and then show rest of given information about class how to do each type, or use the their sides and angles. Flash program on the right.

    Use a straight edge and a ; Construct inscribed regular polygons by

    equal division of a circle pair of compasses to do

    ; Construct nets - could use these to constructions.

    make gift boxes or packaging. Could Construct inscribed link to surface area (FSG4/HIG4) regular polygons.

    Construct nets of cubes,

    regular tetrahedra,

    square-based pyramids

    and other 3-D shapes

GCSE Mathematics B 9 of 25

     Sample GCSE Scheme of Work

Suggested TOPIC 3 hours FSS2/HIS2 - Averages from grouped data teaching time

    Suggested teaching and Topic outline Suggested resources Points to note homework activities

    ; Calculate the mean from a table - start ; Sets of data, organised into tables Identify the modal class of with small data set (10 - 15 items) and ; Worksheet/textbook grouped data. Calculate demo mean both ways - from list and the mean of grouped from table, move onto larger data sets - discrete data need for tables should become obvious

    ; Calculate the mean from grouped data -

    use of mid-points

    ; Identify the modal class

Suggested Topic 3 hours FSN3/HIN3 - Percentage increases and decreases teaching time

    Suggested teaching and Topic outline Suggested resources Points to note homework activities

    ; Percentage increases - eg inflation, pay ; Banks of questions, or collection of newspaper Increase and decrease rises, VAT etc. Work out increases headlines to use as starting points. (Can generate your quantities by a percentage using step methods or single multipliers own headlines here:

    ; Percentage decreases - e.g. reduced http://www.fodey.com/generators/newspaper/snippet.asp

    prices in sales, discounts, falling NRICH “Are you a smart shopper?” populations etc. Work out decreases http://nrich.maths.org/110 using step methods or single multipliers

    10 of 25 GCSE Mathematics B

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