© OCR 2010 Contents 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 2 of 25 24 GCSE Mathematics B Introduction 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 GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching time 3 hours Topic outline Multiply and divide simple fractions Topic Suggested teaching and homework activities Suggested resources Points to note Add and subtract fractions 4 of 25 FSN1/HIN1 - Calculating with fractions Multiplication of simple fractions. – Could demonstrate method with 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 Banks of questions This does not include multiplication and division of mixed numbers. Addition and subtraction of mixed numbers Recap and build on skills of converting mixed numbers into improper fractions and adding and subtracting fractions GCSE Mathematics B Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching time 3 hours Topic outline Use and generate formulae. Substitute positive and negative numbers into a formula or an expression GCSE Mathematics B Topic FSA1/HIA1 - Formulae Suggested teaching and homework activities Substitute values into expressions and formulae Generate simple formulae and use to calculate unknown values Suggested resources Points to note Use real-life formulae and those in other subjects, such as science, where possible. Eg (1) 4x – 2; (2) 3x2 + 4; (3) V = 2a3 5 of 25 Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching time 2 hours Topic outline Understand and use the angle properties of parallel and intersecting lines Topic Suggested teaching and homework activities 6 of 25 FSG1/HIG1 - Lines and angles Deducing the theorems: Use of dynamic geometry software to demo angles or Straws/Sticks: give pairs of students 3 × 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 Suggested resources Points to note Appropriate software or straws (or similar) plus angle measurers Worksheet/textbook GCSE Mathematics B Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching time 2 hours Topic outline Identify different mutually exclusive outcomes and know that the sum of the probabilities of all these outcomes is 1 Suggested teaching time 2 hours Topic outline Express one quantity as a fraction or percentage of another Topic Suggested teaching and homework activities Suggested resources Introduce/recap basic ideas about probability Probabilities from mutually exclusive outcomes – find from various given scenarios. Start with simple situations and questions, such as boys and girls. Topic Points to note An amusing video for introducing probability (requires access to YouTube.com): http://www.youtube.com/watch?v=CEYoU5BhGl4 - can ask students what the given probability means and whether they agree with it NFSN2/HIN2 - Fractions and percentages Suggested teaching and homework activities Suggested resources Points to note GCSE Mathematics B FSS1/HIS1 - Probability The problem - give students an example e.g. 3 different test scores as fractions with different denominators. Ask which is best score. Discuss why it 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 Bank of questions and/or newspaper headlines (can generate your own headlines here: http://www.fodey.com/generators/newspaper/snippet.asp), Survey results etc Will need to include examples where fractions are given explicitly and where students write the amount as a fraction 7 of 25 Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching time 2 hours Topic outline Manipulate algebraic expressions by multiplying a single term over a bracket and by taking out common factors Topic FSA3/HIA3 - Brackets Suggested teaching and homework activities Suggested resources Multiply out single brackets Link to numeric examples: discuss how to calculate eg 2(3 + 4), 5(7 - 3), 8(10 3) and area of compound shapes, eg 7 4 3 8 of 25 Two ways of approaching these. Then consider algebraic examples e.g. 2(x + 4), 5(7 - y), 8(10a − 3) Introduce technique of multiplying out/expanding brackets Multiply out brackets - more complex examples: eg 3 terms inside bracket, more challenging algebra Factorising: Single brackets. Could use a ‘gap fill’ exercise with partially completed examples to introduce factorisation skills Points to note Support worksheet: multiply out single brackets http://dl.dropbox.com/u/588647/algebra/mult-out-singlebrackets.doc (Word)/ http://dl.dropbox.com/u/588647/algebra/mult-out-singlebrackets.rtf (RTF) nb Final section is a ‘gap fill’ starting to think about factorisation skills, but factorisation not mentioned at this point Get some more practice with brackets section of PacAlgebra game from www.10ticks.co.uk : http://www.10ticks.co.uk/s_showGames.aspx?gameid= 23 Support worksheet: factorising: http://dl.dropbox.com/u/588647/algebra/factorisingintro.doc (Word)/ http://dl.dropbox.com/u/588647/algebra/factorisingintro.rtf (RTF) GCSE Mathematics B Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching time 3 hours Topic outline Construct triangles and other 2-D shapes using a ruler and a protractor, given information about their sides and angles. Use a straight edge and a pair of compasses to do constructions. Construct inscribed regular polygons. Construct nets of cubes, regular tetrahedra, square-based pyramids and other 3-D shapes GCSE Mathematics B TOPIC FSG2/HIG2 - Constructions Suggested teaching and homework activities Construct triangles etc – could demo methods either on paper, or ask groups of students to follow different examples from textbook and then show rest of class how to do each type, or use the Flash program on the right. Construct inscribed regular polygons by equal division of a circle Construct nets - could use these to make gift boxes or packaging. Could link to surface area (FSG4/HIG4) Suggested resources Points to note http://www.mrreddy.co.uk/geometrytoolbox.swf Rulers, angle measurers etc Card, rulers, angle measurers etc If students all use same size of circle to start with, provides opportunity for displays of tessellating/non-tessellating polygons 9 of 25 Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching time 3 hours TOPIC Suggested teaching and homework activities Topic outline Identify the modal class of grouped data. Calculate the mean of grouped discrete data Suggested teaching time Topic outline FSS2/HIS2 - Averages from grouped data 3 hours Calculate the mean from a table - start with small data set (10 - 15 items) and demo mean both ways - from list and from table, move onto larger data sets need for tables should become obvious Calculate the mean from grouped data use of mid-points Identify the modal class Topic Percentage increases - eg inflation, pay Increase and decrease rises, VAT etc. Work out increases quantities by a percentage 10 of 25 Points to note Sets of data, organised into tables Worksheet/textbook FSN3/HIN3 - Percentage increases and decreases Suggested teaching and homework activities Suggested resources using step methods or single multipliers Percentage decreases - e.g. reduced prices in sales, discounts, falling populations etc. Work out decreases using step methods or single multipliers Suggested resources Points to note Banks of questions, or collection of newspaper headlines to use as starting points. (Can generate your own headlines here: http://www.fodey.com/generators/newspaper/snippet.asp NRICH “Are you a smart shopper?” http://nrich.maths.org/110 GCSE Mathematics B Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching 3 hours time TOPIC Topic outline Suggested teaching and homework activities FSS2/HIA2 - Linear equations Some students may need to review Set-up and solve linear basic equations equations with integer Solve equations with unknowns on both coefficients. This will sides include equations in which Solve equations with brackets (single the unknown appears on term outside a single bracket) both sides of the equation, or with brackets Suggested resources Points to note Online games for equations include: http://www.quia.com/ba/36544.html http://www.quia.com/ba/143047.html http://www.quia.com/hm/285263.html Lesson A2 from Improving Learning in Mathematics: http://tlp.excellencegateway.org.uk/pdf/mat_imp_02.pdf with Balance 1, Balance 2 and Cover Up programs from the CD-ROM included in the box ` GCSE Mathematics B 11 of 25 Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching time 3 hours Topic outline Recall the meaning of circle, chord, tangent, arc, sector and segment. Recall and use the formulae for the circumference and the area of a circle. NB Candidates may be required to give answers in terms of pi. Topic FSG3/HIG3 - Circles Suggested teaching and homework activities Suggested resources Points to note Discover pi: students measure circumferences and diameters of cylinders, then calculate ratio Calculate circumferences and diameters Find areas - demo derivation of formula by cutting paper circles (or a pizza?) into sectors and rearranging to form an approximate rectangle/parallelogram Cylinders, tape measures (or string - but tape measures will probably result in more accurate results) Problems to solve, eg from published texts Circle (cut up) as a visual aid; problems Pi rap: http://www.youtube.com/watch?v=U2uVoDxZpaQ&feature= related 12 of 25 Probably worth discussing if measurements will be 'perfect' or accurate - can use this to justify less than brilliant results that will inevitably be encountered. Results could be collected via a Google form and displayed using a data projector (Tom Barrett has a useful guide to using Google forms here: http://edte.ch/blog/2008/02/10/usinggoogle-forms-in-the-classroom/) Opportunites for functional maths - design a trundle wheel, calculate how far a bicycle or wheelcahir will travel if wheels turn through × revolutions, extension design a 400m running track to fit in a given space Could work out answers to practical problems, e.g. amounts of fertilser needed to cover circular grassed areas - (see http://blog.mrmeyer.com/?p=5046 for some good suggestions about framing this type of question) Video introducing idea of scaling up/down: GCSE Mathematics B Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching time 2 hours Topic outline Design and criticise questions for use in a survey, taking possible bias into account Topic Suggested teaching and homework activities Suggested resources Points to note Suggested teaching time FSS5/HIS5 - Surveys Consider example questionnaire and criticise: teacher could create a survey to be done by a group of teachers/students. An example of where this done with input from a global network is here: http://www.mrstucke.com/2009/04/17/d ata-collection-questionnaires-withgoogle-docs-twitter/ Students create own quesionnaires and discuss 3 hours Topic outline Draw and interpret a wide range of graphs and diagrams for discrete and continuous data, including frequency polygons and stem and leaf diagrams. Compare distributions and make inferences, using the shapes of the distributions and measures of average and range GCSE Mathematics B Use of Google forms: Tom Barrett has a useful guide here; http://edte.ch/blog/2008/02/10/using-googleforms-in-the-classroom/ Topic FSS3/HIS3 - Organising data Suggested teaching and homework activities Suggested resources Students could work in small groups to critique each others' questions. If data is actually collected, it could be used for organising/interpreting data (FSS3/HIS3) at a later stage This could be set in a school context if appropriate, e.g. students design a questionnaire to survey students’ opinions about school meals (or similar) and present findings to the school council Points to note Group data, working with frequency diagrams and frequency polygons Stem and leaf diagrams - constructing and using (to find median, mode, range) Compare data sets - either draw graphs and charts to compare data, or use pre-prepared diagrams and reach conclusions. Could link to data collected from questionnaires (FSS5/HIS5) 13 of 25 Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching time 3 hours Topic outline Use the four operations on decimals without the use of a calculator Topic Suggested teaching and homework activities Suggested resources Points to note Students should be encouraged to try different algorithms for multiplication in order to find the one they are most comfortable with. 14 of 25 FSN4/HIN4 - Calculating with decimals Add and subtract decimals - a teacher demo with lots of deliberate errors (eg mis-aligned numbers, arithmetical errors) can provide a good stimulus for discussion. Students could be encourgaed to generate 'checklist' of points to remember Multiply - students can investigate by working out arious sets of multiplications (eg 6 × 4, 0.6 × 4, 0.06 × 0.4)with a calculator and trying to generalise Division - could demo how to reduce all problems to a division by a whole number by treating division as a fraction, then place values in the answer will be straightforward Bank of questions - both in figures and word problems GCSE Mathematics B Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching time 3 hours Topic outline Use tables to plot graphs of linear functions given explicitly GCSE Mathematics B Topic FSA4/HIA4 - Linear graphs Suggested teaching and homework activities Generate tables of values from given equations. Use tables of values to draw graphs. Test own learning with Save Our Dumb Planet game from www.MangaHigh.com - N.B. non-linear graphs occur once players progress beyong level 6 in the game: http://www.mangahigh.com/en_gb/gam es/saveourdumbplanet Students will need to be fast at finding points on the graphs, and some have negative x coefficients. Suggested resources Points to note Spreadsheets: good chance to use ICT to create tables of values Graph plotting software 15 of 25 Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching time 3 hours Topic outline Recall and use the formula for the area of a parallelogram and a triangle. Use the formula for the area of a trapezium. Calculate perimeters and areas of shapes made from triangles and rectangles. Find the surface area of simple solid shapes using the area formulae for triangles and rectangles 16 of 25 Topic FSG4/HIG4 - Perimeter and area Suggested teaching and homework activities Suggested resources Points to note Review basic concepts of perimater and area of a rectangle. Formulae for triangle, parallelogram, rhombus can then be derived from this Calculate areas and perimeters of a variety of shapes Find surface area. Can be set in context by looking at various net designs (FSG2/HIG2) and working out which will use the least/most card Test own learning with Pyramid Panic game from www.MangaHigh.com N.B. game includes some higher level skills (Pythagoras, trigonometry), but players can record achievemnets in other areas even if they cannot do some sections: http://www.mangahigh.com/en_gb/ga mes/pyramidpanic Review basic perimeter and area: http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ ks2/maths/perimeter_and_area/index.html Demonstrate for various 2D shapes: http://staff.argyll.epsb.ca/jreed/math9/strand3/formulae. htm The formula for the area of a trapezium is given on the formulae sheet GCSE Mathematics B Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching 2 hours time Topic Topic outline Suggested teaching and homework activities Design and use two-way tables for discrete and grouped data Suggested teaching time 3 hours Topic outline Use ratio notation including reduction to its simplest form. Understand and use ratio and proportion, including dividing a quantity in a given ratio GCSE Mathematics B FSS4/HIS3 - Two-way tables Use two way tables - read information, find missing values Organise given data using two-way tables Topic Suggested resources Variety of examples of two way tables Extension activity – can link to Venn diagrams (not in the specification) and/or Task A below: http://www.censusatschool.org.uk/images/curriculum_resou rces/number_algebra/mindgames-worksheet.pdf FSN5/HIN5 - Ratio Suggested teaching and homework activities Suggested resources Points to note Work with ratio notation: writing ratios, simplifying ratios Use ratios to solve problems, e.g. working with recipes Divide quantities in a given ratio Points to note Video introducing idea of scaling up/down: http://www.teachers.tv/video/1740 [nb videos on Teachers TV are only available within the UK and don't remain available indefinitely - you are advised to register with the site and download a copy - there is no charge for this] Real recipes may be used NRICH “Mixing Lemonade” http://nrich.maths.org/6870 17 of 25 Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching 2 hours time TOPIC Topic outline Suggested teaching and homework activities Suggested resources Points to note Use trial and improvement to find approximate solutions of equations where there is no simple analytical method of solving them. Eg (1) x3 - 2x = 2; (2) The positive solution of x 2 − 4 = 1/x ; (3) I think of two numbers. They add together to equal 6. They multiply together to equal 8·64. Find the two numbers 18 of 25 FSA5/HIA5 - Trial and improvement Solve equations given algebraically using trial and improvement Form equations (e.g. from 'I think of a number…' type questions) and solve using trial and improvement Support sheet may help students to structure their working during initial questions: http://dl.dropbox.com/u/588647/algebra/trialimprovement-answer-sheet.doc (Word) Graphing software GCSE Mathematics B Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching 2 hours time Topic Topic outline Suggested teaching and homework activities Use 2-D representations of 3-D shapes, including plans and elevations GCSE Mathematics B FSG5/HIg5 - Plans and elevations Introduce plans and elevations students can work with multi-link, solids or could use Google maps - satellite and streetview ( see http://morethanmaths.wordpress.com/2 009/06/04/views-of-sheffield/ ) Draw plans and elevations from diagrams of 3-D objects Create objects from multi-link from given plans and elevations Isometric drawings of cubes, cuboids etc Suggested resources Points to note Multi-link / solids Multi-link cubes 19 of 25 Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching 3 hours time Topic Topic outline Suggested teaching and homework activities Suggested resources Points to note Use a calculator effectively and efficiently, entering a range of measures including 'time', interpreting the display and rounding off a final answer to a reasonable degree of accuracy. Perform calculations using the order of operations 20 of 25 FSN6/HIN6 - Using a calculator Introduce order of operations using calculations or the 24 game Move onto actual calculations, based on 24 cards/written examples/online game Examples to include roots and/or division Investigate calculator functions - can be teacher led, or students can work in small groups and feed back what they have learned Investigate time on the calculator and accuracy/rounding Basic & scientific calculators, 24 Game (optional), online activity at http://www.learnalberta.ca/content/mejhm/html/object_i nteractives/order_of_operations/use_it.html Workcards: http://dl.dropbox.com/u/588647/number/calculatorworkcards-01.doc (Word) Calculations involving times - eg working out recording times for TV programmes/series, cooking times This includes using the memory and bracket keys, and function keys for squares and powers where appropriate Opportunity for paired or group work GCSE Mathematics B Sample GCSE Scheme of Work GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Suggested teaching 3 hours time TOPIC Topic outline Suggested teaching and homework activities Transform triangles and other 2-D shapes by rotation, reflection, or translation using column vectors. Recognise and visualise rotations, reflections and translations. Understand the properties preserved by these transformations; understand the congruence of these transformations. GCSE Mathematics B FSG6/HIG6 - Transformations Human transformations: Set up a grid in a large area, eg a playground or hall. Some students can stand at regular intervals, holding numbered miniwhiteboards to form axes. Others make shapes by holding string or linking hands. Ask them to move, rotate etc. This is even better if it can be videoed and reviewed Draw the different types of transformation Recognise transformations Test own learning or practise skills with Transtar game from MangaHigh.com: http://www.mangahigh.com/en_gb/game s/transtar Suggested resources Points to note Mini-whiteboards, string/cloth (optional), large space Dynamic geometry software 21 of 25 Sample GCSE Lesson Plan GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Multi-step equations 1 OCR recognises that the teaching of this qualification above will vary greatly from school to school and from teacher to teacher. With that in mind this lesson plan is offered, as a possible approach but will be subject to modifications by the individual teacher. Lesson length is assumed to be one hour. Learning Objectives for the Lesson Objective 1 Solve linear equations with the unknown on both sides. Recap of Previous Experience and Prior Knowledge Two step equations Content Time Content 10 minutes Present five two step equations on the board to solve. Responses to be written in exercise books. 20 minutes Group activity. Use a card sort. There are about 20 cards each with an equation on. Some equations have the unknown on both sides and some have the next stage of that equation, eg one card to have 3x + 1 = x - 6 and another card to have 2x + 1 = −6. Each group to put the cards together into equivalent pairs or groups. After a while they share with the rest of the class, giving reasons why they made their choices. 15 minutes Issue sheet to groups with five equations written on it; ‘solved’ with errors. Individually, find and correct the errors. Then share answers with the rest of the group. The teacher coordinates the sharing of each group with the rest of the class. 5 minutes Three equations with the unknown on both sides on the board to solve. Solutions revealed at the end. Consolidation Time Content 10 minutes On whiteboards, each student writes his/her own equation with the unknown on both sides. They then solve it. Show solution to others in the group to check or they could swop whiteboards with a partner and check each others’ solution. Homework Use the appropriate exercise from the text book or give students five to ten equations to solve showing the stages of their solutions. 22 of 25 GCSE Mathematics B Sample GCSE Lesson Plan GCSE Mathematics B J567: Foundation Silver/Higher Initial Stage Multi-step equations 2 OCR recognises that the teaching of this qualification above will vary greatly from school to school and from teacher to teacher. With that in mind this lesson plan is offered as a possible approach but will be subject to modifications by the individual teacher. Lesson length is assumed to be one hour. Learning Objectives for the Lesson Objective 1 Solve linear equations with brackets. Recap of Previous Experience and Prior Knowledge Two step equations Multiplying out single brackets Content Time Content 10 minutes Five single brackets to expand (multiply out) with a number on the ‘outside’ and a linear expression on the inside. Responses to be written in exercise books. 20 minutes Use the activity “Unjumble”. Start with one equation with brackets on one side. Each card has one stage of working and the students have to put the cards in order individually. Next, as a group, they have the stages of working of about five equations jumbled up and they have to separate these into the individual equations, and then put the cards into order. 5 minutes Present one equation unsolved with brackets on both sides and challenge students to solve it on their whiteboards. Demonstrate the full solution. Consolidation Time Content 15 minutes Use a text book exercise, which could include questions on forming equations, or present questions on the board allowing students to solve a mixture of questions. 10 minutes Each student writes an equation with brackets on a mini whiteboard then solves it and shows solution to others to check - or they could swap whiteboards with a partner and check each other’s solution. Alternatively present two equations, one with a single bracket and the other with two brackets for the students to solve. Homework Use a text book exercise or give students five to ten equations to solve, showing the stages of their solutions. Alternatively the students could produce a poster showing examples of equations and how to solve them. GCSE Mathematics B 23 of 25 Published Resources OCR offers centres a wealth of quality published support for new specifications with a fantastic choice of ‘Official Publisher Partner’ and ‘Approved Publication’ resources, all endorsed by OCR. Publisher partners We work in close collaboration with our three publisher partners Hodder Education, Heinemann and Oxford University Press to ensure you have access to quality materials, written by experts, when you need it. The publisher partnerships are not exclusive (see Approved Publications below).All OCR endorsed resources undergo our thorough quality assurance process to ensure they cover the specification. Hodder Education is the publisher partner for OCR GCSE Mathematics B. Hodder Education is producing the following resources for OCR GCSE Mathematics B for first teaching in September 2010. OCR Mathematics for GCSE Specification B – Student Book 1 Foundation Initial & Bronze Howard Baxter, Michael Handbury, John Jeskins, Jean Matthews, Mark Patmore ISBN: 9781444118506, Published: 25/06/2010 OCR Mathematics for GCSE Specification B – Student Book 2 Foundation Silver & Gold and Higher Initial & Bronze ISBN: 9781444118513, Published: 25/06/2010 OCR Mathematics for GCSE Specification B – Student Book 3 Higher Silver & Gold Howard Baxter, Michael Handbury, John Jeskins, Jean Matthews, Mark Patmore ISBN: 9781444118520, Published: 25/06/2010 OCR Mathematics for GCSE Specification B – Teacher and Assessment Pack 1 Foundation Initial & Bronze Howard Baxter, Michael Handbury, John Jeskins, Jean Matthews, Mark Patmore ISBN: 9781444118568, Published: 27/08/2010 OCR Mathematics for GCSE Specification B – Teacher and Assessment Pack 2 Foundation Silver & Gold and Higher Initial & Bronze Howard Baxter, Michael Handbury, John Jeskins, Jean Matthews, Mark Patmore ISBN: 9781444118575, Published: 27/08/2010 24 of 25 GCSE Mathematics B OCR Mathematics for GCSE Specification B – Teacher and Assessment Pack 3 Higher Silver & Gold Howard Baxter, Michael Handbury, John Jeskins, Jean Matthews, Mark Patmore ISBN: 9781444118582, Published: 27/08/2010 OCR Mathematics for GCSE Specification B – Homework Book 1 Foundation Initial & Bronze Howard Baxter, Michael Handbury, John Jeskins, Jean Matthews, Mark Patmore ISBN: 9781444118537, Published: 24/09/2010 OCR Mathematics for GCSE Specification B – Homework Book 2 Foundation Silver & Gold and Higher Initial & Bronze Howard Baxter, Michael Handbury, John Jeskins, Jean Matthews, Mark Patmore ISBN: 9781444118544, Published: 24/09/2010 OCR Mathematics for GCSE Specification B – Homework Book 3 Higher Silver & Gold Howard Baxter, Michael Handbury, John Jeskins, Jean Matthews, Mark Patmore ISBN: 9781444118551, Published: 24/09/2010 Dynamic Learning The unique online assessment allows you to track learners' progress, highlighting routes to achieve success. The reports not only identify students' areas of strength and weakness, but provide links to print and digital resources that will help them improve their knowledge and skills. Approved publications OCR still endorses other publisher materials, which undergo a thorough quality assurance process to achieve endorsement. By offering a choice of endorsed materials, centres can be assured of quality support for all OCR qualifications. GCSE Mathematics B 25 of 25