CFE MATHEMATICS 2012/2013

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Theodore Watson
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1 These materials can be ordered by ticking boxes CE3, CE4 & CE5 on the order form at the end of this flyer. Thank you. Educational Pegasys Publishing CFE MATHEMATICS 2012/2013 ** new this year. dedicated CFE National 5 - Worksheet Packs N5 Pack 1 for Unit: Expressions & Formulae (EF) N5 Pack 2 for Unit: Relationships (REL) N5 Pack 3 for Unit: Applications (APP) The packs described below have been developed in line with the " SQA Course Guidelines for National 5" of Curriculum for Excellence and are aimed at young people working at this level. Please note. most of the material in these packs has been taken from our previously published resources for Intermediate 2 and Standard Grade Credit and have been re-organised, adapted and collated to fit exactly into the new "National 5 Guidelines". These packs cover all the topics within the three units of the new National 5 for Mathematics Each pack contains exercises giving extensive practice in the basics for each topic area, and, where appropriate, problem solving and examination type questions. Answers are provided for every exercise. Detailed contents for each pack can be seen within the next few pages. Each pack represents a huge resource and is designed to last the time allocated to that unit within the new arrangements. N5 Pack 1 for Unit: Expressions & Formulae (EF) N5 Pack 2 for Unit: Relationships (REL) N5 Pack 3 for Unit: Applications (APP) (Tick box CE3 on our main order form) (Tick box CE4 on our main order form) (Tick box CE5 on our main order form) Other future planned CFE materials from Pegasys.. * We are in the process of producing homework packs to accompany the National 5 Unit packs described above. * We are currently at the planning stage for a similar set of packs (worksheets & homework) for National 4. * We will of course be supplying unit assessments, practice examinations and prelim examinations for CFE National 4 & National 5 for session 2013/2014 as well as course and assessment materials at Levels 2, 3 & 4 once further clarification has been received.

2 N5 Pack 1 - detailed contents by topic. INDEX EXPRESSIONS and FORMULAE (EF) 1.1 Working with surds Simplification Rationalising denominators 1.2 Simplifying expressions Multiplication and division using positive and negative indices including fractions Calculations using Scientific Notation Simplification of nested indices 1.3 Rounding to a given number of significant figures 2.1 Working with algebraic expressions with brackets a(bx + c) + d(ex + f) (ax + b)(cx + d) ax(bx + c) (ax + b)(cx² + dx + e) a, b, c, d and e are integers 2.2 Factorising an algebraic expression Common factor Difference of two squares x² y² ; px² y² Common factor with difference of two squares Trinomials with unitary x² coefficient Trinomials with non-unitary x² coefficient 2.3 Completing the square in a quadratic expression with unitary x² coefficient 2.4 Reducing an algebraic expression to its simplest form a/b where a and b are of the form (x + p)n or (x + p)(x + q) 2.5 Applying the four operations to algebraic fractions a/b c/d where a, b, c and d are simple constants or variables * can be add, subtract, multiply or divide 3.1 Determining the gradient of a straight line given two points m = y 2 y 1 / x 2 x Working with the length of arc and area of a sector of a circle 3.3 Working with the volume of a solid sphere, cone, pyramid

3 N5 Pack 2 - detailed contents by topic. INDEX RELATIONSHIPS (REL) 1.1 Determining the equation of a straight line Use the formula y b = x(x a) to find the equation of a straight line, given 2 points or one point and the gradient of the line. Identifying gradient and y intercept values from various forms of the equation of a straight line Use functional notation 1.2 Working with linear equations and inequations Coefficients are a member of Z Solutions are a member of Q 1.3 Working with simultaneous equations Graphical solution Algebraic solution Construct from text 1.4 Changing the subject of a formula Linear equation Equation involving a simple square or square root 2.1 Recognise and determine the equations of quadratics from their graphs Equations of the form y = kx²and y = (x + p)²+ q for integer values of p, q and k 2.2 Sketching a quadratic function Equations in the form y = (x d)(x e) and y = (x + p)²+ q 2.3 Identifying features of a quadratic function Identify nature, coordinates of turning point and the equation of axis of symmetry of quadratic in the form y = k(x + p)²+ q where k = 1 or -1 Know the meaning of the roots of a quadratic equation 2.4 Working with quadratic equations Factorising Graphically Quadratic formula Discriminant

4 3.1 Applying the theorem of Pythagoras Using theorem of Pythagoras in complex situations including converse and 3D 3.2 Applying properties of shapes Quadrilaterals, triangles, polygons and circles Relationship between the centre, chord and perpendicular bisector 3.3 Using similarity Interrelationship of scale length, area and volume 4.1 Working with trigonometric functions Basic curves Scaling amplitude Vertical translation Multiple and phase angles 4.2 Working with trigonometric relationships in degrees Sine, cosine and tangent of angles o Period Related angles Solving basic equations Identities cos²x + sin²x = 1 and tan x = sin x/cos x

5 N5 Pack 3 - detailed contents by topic. INDEX APPLICATIONS (APP) 1.3 Calculating the area of a triangle using trigonometry A = ½ ab sin C 1.4 Using the sine and cosine rules in a triangle Sine rule for an angle Sine rule for a side Cosine rule for a side Cosine rule for an angle 1.5 Using bearings with trig 2.2 Working with 2D vectors Adding or subtracting 2D vectors using directed line segments 2.2 Working with 3D coordinates Interpreting 3D coordinates or directed line segments which are given in diagrams Using skeleton diagrams 2.3 Using vector components Adding or subtracting 2 or 3 dimensional vectors using components 3.1 Working with percentages Use reverse percentages to calculate an original quantity Appreciation including compound interest Depreciation 3.2 Working with fractions Operations and combinations of vulgar fractions including mixed numbers 4.1 Comparing data sets using statistics Compare data sets using calculated/determined Quartiles and interquartile range Standard deviation 4.2 Forming a linear model from a given set of data Determine the equation of a best fitting straight line on a scattergraph and use it to estimate y given x

6 These materials can be ordered by ticking boxes CE1 & CE2 on the order form at the end of this flyer. Thank you. Educational Pegasys Publishing CFE MATHEMATICS 2012/2013 New this year dedicated CFE Level 3 Homework and Assessment Packs The packs described below have been developed in line with the "Experiences and Outcomes" of Curriculum for Excellence and are aimed at young people working at Level 3. Suitable real life contexts have been used wherever possible in keeping with the ideals of Curriculum for Excellence. Both packs are differentiated across three sub levels to accommodate young people with varying Mathematical abilities. Sub levels and content are detailed below. CFE Level 3 Homework Pack This pack consists of approximately 33 exercises (1 exercise at each of the three sub levels for each topic of the Level 3 course) amounting to around pages of work in total. There will be separate homeworks for each topic with the exception of "short" topics which are incorporated into other exercises. For example, Rounding is included in Number Processes. The exercises in this pack are differentiated over three sub levels and all follow the topics listed overleaf.. Pack contains. 11 homework exercises at the Groundwork Sub Level 11 homework exercises at the Core Sub Level 11 homework exercises at the Extension Sub Level Sub Level descriptions Groundwork - The content of this is mainly pre Level 3. It is aimed at students who may struggle with the core content of Level 3, but who would be covering the same topics as those on the core Level 3 course. These sub levels also apply to the Assessment Pack! This homework pack comes complete with answers. Core - As its name suggests, this covers the core content of Level 3 with the exception of the most demanding outcomes and experiences. Extension - Aimed at stretching the more able students with more demanding applications of level 3 content (and very occasional level 4 content). There is an emphasis on problem solving. (Tick box CE1 on main order form) This pack consists of 24 separate assessments. CFE Level 3 Assessment Pack There are 8 assessments at each of the three sub levels consisting of 4 practice (or pre) assessments + 4 main assessments. Each assessment contains grouped topics as shown overleaf. The assessments in this pack are differentiated over the same three sub levels as the homework pack. 4 pre-assessments + 4 assessments at the Groundwork Sub Level 4 pre-assessments + 4 assessments at the Core Sub Level 4 pre-assessments + 4 assessments at the Extension Sub Level All assessments come complete with full marking instructions and marking schemes. (Tick box CE2 on main order form) Details of the topics covered in homework exercises and the different grouped assessments are given overleaf together with the "Experiences and Outcomes" assessed. P.T.O. /

7 Most of the topics have three homework exercises linked to them (one at each sub level). Each table constitutes an assessment grouping and has 6 assessments linked to it (1 practice + 1 assessment at each sub level). ASSESSMENTS 1 Topics (Homework Exercice Number Processes including Estimation Data and Analysis Fractions, Decimals and Percentages Experiences and Outcomes MNU 3-03a MNU 3-3b MNU 3-04a (MNU 3-01a) MNU 3-20a MNU 3-20b (MTH 2-21a)/MTH 3-21a MNU 3-07a MTH3-07b MTH 3-07c MNU 3-08a ASSESSMENTS 2 Topic Angle, Symmetry and Transformation (Part 1) Expressions and Equations including Powers and Roots Measurement Experiences and Outcomes MTH 3-17a ( MTH 2-19a) / MTH 3-19a MNU 3-20a MNU 3-20b (MTH 2-21a)/MTH 3-21a MTH 3-11a MTH 3-11b Topic Experiences and Outcomes ASSESSMENTS 3 Angle, Symmetry and Transformation (Part 2) Money MTH 3-17b MTH 3-17c (MTH 2-18a) / MTH 3-18a MNU 3-09a MNU 3-09b Properties of 2D shapes and 3D objects MTH 3-16a Topic Experiences and Outcomes Time MNU 3-10a ASSESSMENTS 4 Factors, Multiples and Primes MTH 3-05a MTH 3-05b Ideas of Chance and Uncertainty MTH 3-22a Patterns and Relationships MTH 3-13a Maths its impact on the world, past, present and future MTH 3-12a These new packs can be ordered by ticking boxes CE1 and CE2 on our main order form. Thank you.

8 Educational Pegasys Publishing Please tick Pegasys Educational Publishing MATHEMATICS CFE DEDICATED PACKS ORDER FORM 2012/2013 Return to : Pegasys Educational Publishing 6 Heathery Lea Avenue Carnbroe Estate Coatbridge ML5 4JT Tel / Fax : or to : pegpubinfo@fsmail.net ** New. our dedicated CFE Level 3 Homework and Assessment Packs CFE Level 3 Homework Pack CFE Level 3 Assessment Pack CE CE2 ** New this year. our dedicated CFE National 5 - Worksheet Packs Please note our National 5 Pack 2 is approximately twice the size of the other two packs.. hence the difference in price. Thank you. N5 Pack 1 for Unit: Expressions & Formulae (EF) N5 Pack 2 for Unit: Relationships (REL) N5 Pack 3 for Unit: Applications (APP) CE CE CE5 Please choose the media format you wish your materials to be delivered in. There are no post or packing charges if you choose CD Rom. If you choose paper the post/handling charge is dependant upon the size of the order. If you choose both there is a post/handling charge + an extra combined media charge of Please tick... I wish my order to be on CD Rom Paper Both NB... CD Rom Platform is Microsoft Word. Our CD's will open in all versions of Word from '97' onwards. Our CD's will also open on an Apple computer as long as it's an i-mac with word installed. Please complete your details: Your Name Name of School Address Department Signature Date Postcode Telephone This form can be. - faxed direct to Pegasys Publishing at ed to. pegpubinfo@fsmail.net - returned to the address at the top of this page. Please ensure that you have completed all relevant parts of this order form. This order form should be passed to your school's finance department who may wish to attach an order form of their own. Form(s) should then be returned (or faxed) to the address above. Thank you.

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS 1 CALIFORNIA CONTENT STANDARDS: Chapter 1 ALGEBRA AND WHOLE NUMBERS Algebra and Functions 1.4 Students use algebraic