TeeJay Publishers. SQA - National 5. National 5 Course Planner Using TeeJay's Books IC1 and IC2

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1 TeeJay Publishers Draft SQA - National 5 National 5 Course Planner Using TeeJay's Books IC1 and IC2 This Course Planner for National 5, based on TeeJay s Int-2-Credit Books 1 & 2, comes in two parts :- - Each Outcome is listed in order, directly from the SQA site, with a reference as to how our Int-2-Credit Books 1 and 2 cover the entire contents as listed in the official documents, with the exception of Vectors, Completion of the Square, The Discriminant and 3D Pythagoras work. This Part takes the learner through the course following the Units :- Expressions & Formulae, Relationships and Applications. Model 1* Schools wishing to follow Model 1* in the National 5 Guidelines, as detailed, in order, i.e. Expressions and Formulae, followed by Relationships, followed by Applications, should refer to of this course planner below. Part B - The Book Chapters are listed in order from our Int-2-Credit Books 1 and 2 in a more realistic way, with references to the official SQA list of Outcomes. (A more practical course planner). Model 2* Schools may wish instead to follow Model 2* of the SQA National 5 Guidelines, which offers a broader approach, by integrating all 3 concepts, Expressions and Formulae, Relationships and Applications into the ongoing teaching and delivery of the National 5 course. Models 1/2* - See Pages 9-10 of the SQA s National 5 Mathematics Course Support Notes, by visiting their web page :-

2 TeeJay Publishers SQA - National 5 National 5 Course Planner - Following Outcome Order This Course Planner for National 5, is based on TeeJay s Int-2-Credit Books 1 & 2. Schools wishing to follow Model 1* in the National 5 Guidelines, as detailed, in order, i.e. Expressions and Formulae, followed by Relationships, followed by Applications, should refer to of this course planner. Model 1* - See Page 9 of the SQA s National 5 Mathematics Course Support Notes, by visiting their web page :-

3 Expressions and Formulae (EF) page 1 Outcome Unit Description + Added Value Int-2-Cred Bk 1 Int-2-Cred Bk 2 Comments/Methodology/Other Resources Applying numerical skills to simplify surds/expressions using laws of indices E1.1 Working with surds. Simplification. Rationalising denominators. 32 = = 2 2 Ch 8 page Ex8 1/2 Ch 8 page 86 Ex8 2 E1.2 Simplifying expressions using the laws of indices. Multiplication and division using positive and negative indices including fractions. Calculations using scientific notation. Simplification of nested indices. Ch 4 page Ex4 1, Ex4 2, Ex4 3 Ch 8 page Ex8 3, Ex8 4, Ex8 5 (2 5 x 10 3 ) x (6 8 x ), (am) n = a mn, Applying numerical skills to manipulate expressions Ch 4 page 46 Ch 8 page 92 E2.1 Working with algebraic expressions with brackets. E2.2 Factorising an algebraic expression. a(bx + c) + d(ex + f), (ax + b)(cx + d) ax(bx + c), (ax + b)(cx 2 + dx + e) where a, b, c, d, e, f are integers. (3x + 1)(2x 5). Common factor. Difference of squares x 2 a 2. Common factor with difference of squares px 2 q 2. Trinomials with unitary x 2 coefficient. Trinomials with non-unit x 2 coefficient. ax 3 + x 2, x 2 16, x 2 4x + 3 Ch 9 page Ex9 1, Ex9 2, Ex9 3, Ex9 4 Ch 9 page 94 Ex9 5 Ch 9 page 95 Ex9 6 Ch 9 page 95 Ex9 6 Ch 9 page Ex9 7, Ex9 8 Ch 9 page 97 Ex9 7, Ex9 8 Ch 9 page 98

4 Expressions and Formulae (EF) page 2 Outcome Unit Description + Added Value Int-2-Cred Bk 1 Int-2-Cred Bk 2 Comments/Methodology/Other Resources E2.3 Completing the square in a quadratic expression with unitary x 2 coefficient. *See *Complete the square. Parabolic graph, turning points, equation of axis of symmetry, max/min values. x 2 + 4x 1 = (x + 2) 2 5 Applying algebraic skills to algebraic fractions E3.1 Reducing an algebraic fraction to its simplest form. a /b where a, b are of the form (x + p) n or (x + p)(x + q). x 2 6x +5 x 2 1 Ch 2 page Ex 2 1, Ex 2 2 E3.2 Applying the four operations to algebraic fractions. a /b + c /d, a /b - c /d, a /b x c /d or a /b c /d, a, b, c, d are simple constants or variables. 8k 6 4 3k Ch 2 page Ex 2 3, Ex 2 4 Ch 2 page 26, Q1-4 Applying geometric skills linked to the use of formulae E4.1 Determining the gradient of a straight line given two points. m = y y 2 1 x x 2 1 Gradients from coordinate diagrams. Zero & Negative gradients. Lines in everyday use Link to equations of lines. Link to lines of best fit. Discuss rates of change, steepness, etc Parallel lines have same gradient. Ch 6 page Ex6 1, Ex6 2 Ch 6 page Ch 6 page Ex Ch 13 page Ex13 4 Ex13 5 Ch 6 page 68 Ch H2 page , Ex H2 1

5 Expressions and Formulae (EF) page 3 Outcome Unit Description + Added Value Int-2-Cred Bk 1 Int-2-Cred Bk 2 Comments/Methodology/Other Resources E4.2 Calculating the length of an arc or the area of a sector of a circle. E4.3 Calculating the volume of a standard solid, Find circumference or area of circle and use angle at centre to calculate arc length or sector area, Calculate angle at centre given arc length or sector area, Calculating the volume of a sphere, cone and pyramid. V = 4 3 πr3 for a sphere Ch 10 page Ex10 1, Ex10 2, Ex10 3 Ch 10 page Ex10 4, Ex10 5 Ch 10 page 113 Q 1-3, 6,7 Ch 8 page 77-84, 86 Ex8 1-Ex8 7 Ch 8 page 87 (except Q 9) E4.4 Rounding to a given number of significant figures, 12 0 has 3 sig. figs becomes to 1 sig. fig. Ch 1 page 15 Ex1 7 E5.1 Interpreting a situation where mathematics can be used and identifying a strategy. E5.2 Explaining a solution and relating it to context. Can be attached to any Assessment Standard in the other outcomes to require analysis of situation. Can be attached to other Assessment Standard to require explanation of the solution given.

6 Relationships (Rel) page 4 Outcome Unit Description + Added Value Int-2-Cred Bk 1 Int-2-Cred Bk 2 Comments/Methodology/Other Resources Applying algebraic skills to linear equations R1.1 Determining the equation of a straight line, given the gradient. Use the formula y b = m(x a) or equivalent to find the equation of a straight line, given two points or one point and the gradient of the line. Identify gradient and y-intercept values from y = mx + c. Ch 6 page Ex6 4 Ch 6 page 67 Ex6 7 Ch 6 page Ex6 3/4 Ch H2 page ExH2 3, ExH2 4 Ch H2 page ExH2 6 Identify gradient and y-intercept from various forms of a line. Use functional notation ƒ(x). y = 2x + 3 y 4 = 3(x 1) Ch 6 page 63 Ex6 5 Throughout both books Ch 6 page 68 Q1-9, Q12 Ch H2 page 215 ExH2 5 Ch H2 page 223 Q1-9 R1.2 Working with linear equations and inequations. Ax + By + C = 0 2x + 1 > 5 Coefficients are a member of Z.. Solutions are a member of Q. Ch 12 page Ex Ch 12 page 143 R1.3 Working with simultaneous equations. 3x + 5y = 13 4x y = 2 Graphical solution. Algebraic solution. Construct from text. Ch 15 page Ex15 3, Ex15 4 Ch 15 page Ex15 1, Ex15 2 Ch 15 page Ex15 5 Ch 15 page 170

7 Relationships (Rel) page 5 Outcome Unit Description + Added Value Int-2-Cred Bk 1 Int-2-Cred Bk 2 Comments/Methodology/Other Resources R1.4 Changing the subject of a formula. Linear equation. Equation involving a simple square or square root. s = ut at 2 to a, E = 1 2 mv 2 to v. Ch 2 page Ex2 5 Ch 2 page Ex2 6 Ch 2 page 26 Q 5,6,7 Applying algebraic skills to graphs of quadratic relationships R2.1 Recognise and determine the equations of quadratics from their graphs. Equations of the form y = kx 2 and y = (x + p) 2 + q; p, q, k are Integers. y = (x 2) Ch 9 page Exs R2.2 Sketching a quadratic function. Equations of the form y = (x - d)(x - e) and y = (x + p) 2 + q. Ch 9 page Ex9 1 R2.3 Identifying features of a quadratic function. y = (x 2) is a parabola with min TP Equations of the form y = (x - d)(x - e) and y = ±(x + p) 2 + q. y = (x 2) is a parabola with min T.P. (2, 1) and x = 2 as axis of symm. Ch 9 page 95 Ex9 2 Ch 9 page 99 Q1-7 Applying algebraic skills to quadratic equations R3.1 Working with quadratic equations. *See Solve Graphically. Solve by Factorising. Solve using Roots. Solve using Quadratic formula. *Study the Discriminant. Solve (x + 3)(x 6) = 0, 2x 2 + 3x - 5 = 0 Ch 6 page Ex 6 1, Ex6 2 Ch 6 page Ex 6 3, Ex6 4 Ch 9 page Ex 9 4 Ch 6 page 67 Ch 9 page 99 Q 8, 9

8 Relationships (Rel) page 6 Outcome Unit Description + Added Value Int-2-Cred Bk 1 Int-2-Cred Bk 2 Comments/Methodology/Other Resources Applying geometric skills to lengths, angles and similarity R4.1 Applying the Pythagoras Theorem. *See Using Theorem of Pythagoras. Use Converse of Pythagoras Theorem. *Use Pythagoras in 3D situations. Ch 2 page Ex Ch 2 page 26 Ex2 6 Ch 2 page 27 R4.2 Applying properties of shapes. Quadrilaterals/triangles/polygons/circles. Circumference and Area of a circle. Angle Properties. Relationship in a circle between the centre, chord & perpendicular bisector. T Ch 5 page Exs Ch 5 page 54 Ch 14 page Ex14 1, Ex14 2 Ch 14 page 161 Ch 10 page Exs Ch 10 page 113 Q4,5 O 6 5 cm G B 20 cm H R4.3 Using similarity. Interrelationship of scale length area volume. Ch 5 page Exs Ch 5 page Ex5 4 Ch 5 page Ex5 5 Ch 5 page 58

9 Relationships (Rel) page 7 Outcome Unit Description + Added Value Int-2-Cred Bk 1 Int-2-Cred Bk 2 Comments/Methodology/Other Resources Applying trigonometric skills to graphs and identities R5.1 Working with the graphs of trigonometric functions. Graph of y = sinx, y = cosx, y = tanx Basic graphs. Scaling amplitude. Vertical translation. Multiple angle and Phase angle. Ch 7 page Ch 7 page 83 R5.2 Working with trigonometric relationships in degrees. find sin 315 solve 2cosx + 2 = 3 Sin, Cos and Tan of angles Period. Ch 11 page Ex Related angles. Solving basic equations. Identities cos 2 x + sin 2 x = 1 and tanx = sinx /cosx. Ch 11 page 135 Ch 7 page as above Ch 11 page Ex11 1 Ch 11 page Ex11 3 Ch 11 page 122 R6.1 Interpreting a situation where mathematics can be used and identifying a strategy. R6.2 Explaining a solution and relating it to context. Can be attached to any Assessment Standard in the other outcomes to require analysis of situation. Can be attached to other Assessment Standard to require explanation of the solution given.

10 Applications (Ap) page 8 Outcome Unit Description + Added Value Int-2-Cred Bk 1 Int-2-Cred Bk 2 Comments/Methodology/Other Resources Applying trignometric skills to triangles which do not have a right angle A1.1 Calculating the area of a triangle using trigonometry. Area = 1 2 absinc Ch 18 page Ex18 1 Ch 18 page 216 Q1,2 A1.2 Using the sine and cosine rules to find a side or angle. a 2 = b 2 + c 2-2bccos A Sine rule for side. Sine rule for angle. Cosine rule for side. Cosine rule for angle. Ch 18 page Ex18 2 Ch 18 page Ex18 3 Ch 18 page Ex18 4 Ch 18 page Ex18 5 Which rule? (+ with SohCahToa). Ch 18 page Ex18 6, Ex18 7 Ch 18 page 216 Ch 11 page 119 A1.3 Using bearings with trigonometry. N N V K H To find a distance or direction. Ch 18 page throughout exercises

11 Applications (Ap) page 9 Outcome Unit Description + Added Value Int-2-Cred Bk 1 Int-2-Cred Bk 2 Comments/Methodology/Other Resources Applying geometric skills to vectors A2.1 Working with 2D vectors. *See *Adding or subtracting two-dimensional vectors using directed line segments. A2.2 Working with 3D co-ordinates. *Interpreting three-dimensional coordinates or directed line segments *See which are given in diagrams. Using skeleton diagrams. A2.3 Using vector components. *Adding or subtracting two- or threedimensional vectors using components. *See *Magnitude of a Vector Applying numerical skills to fractions and percentages A3.1 Working with percentages. My car is now worth only 70% of its value when I bought it. What did I pay for it? *See TeeJay Free Finance Units downloadable from our website :- Use reverse percentages to calculate an original quantity. Appreciation - including compound interest and depreciation. Ch 1 page 14 Ex1 6 Ch 1 page 7-13 Ex Ch 1 page 16 A3.2 Working with fractions x 1 8 Operations and combinations of operations of vulgar fractions including mixed numbers. Ch 16 page Exs Ch 16 page 178

12 Applications (Ap) page 10 Outcome Unit Description + Added Value Int-2-Cred Bk 1 Int-2-Cred Bk 2 Comments/Methodology/Other Resources Applying statistical skills to analysing data A4.1 Comparing data sets using statistics. Calculate mean & standard deviation of one set of data and make comparisons with others. Compare data sets using calculated/ determined:- quartiles and interquartile range standard deviation. Ch 17 page Ex Ch 17 page Ex17 7 Ch 17 page 199 Q1-7 A4.2 Forming a linear model from a given set of data. From a set of data, pot points, draw a scattergraph and insert line of best fit. Determine the equation of a best-fitting straight line on a scattergraph and use it to estimate a y given x. Ch 13 page Ex13 4, Ex13 5 Ch 13 page 155 Q4 A5.1 Interpreting a situation where mathematics can be used and identifying a strategy. A5.2 Explaining a solution and/or relating it to context. Can be attached to any Assessment Standard in the other outcomes to require analysis of situation. Can be attached to other Assessment Standard to require explanation of the solution given.

13 TeeJay Publishers SQA - National 5 National 5 Course Planner - Following Book Order This Course Planner for National 5, is based on TeeJay s Int-2-Credit Books 1 & 2. Part B Schools may wish instead to follow the more practical Model 2* of the SQA National 5 Guidelines, which offers a broader approach, by integrating all 3 concepts, Expressions and Formulae, Relationships and Applications into the ongoing teaching and delivery of the national 5 course. Please note that this course planner shows how the two books, as well as preparing students for a national 5 Course, cover along the way most topics associated with CfE Level 4. Those topics not mentioned in this Course planner, such as Financial Maths, Coordinate work including geometrical transformations etc were covered extensively in TeeJays CfE Books 3a and 3b. Model 2* - See Page 10 of the SQA s National 5 Mathematics Course Support Notes, by visiting their web page :-

14 Int-2-Credit Book 1 page 1 Part B Ch Heading Ex Topics Pages Outcome Comments/Methodology/Assessments 0. Revision 0 Revision of earlier work - CfE Level Possibly assess usingteejay s Level 3 Diag Assessment 1. Perform Calculations 1.1 Non-calculator percentages, including mental 7-8 MNU 4-07a Involving Percentages 1.2 Express A as percentage of B 9 MNU 4-07a 1.3 Percentage profit and loss 10 MNU 4-07a 1.4 Compound Interest A Appreciation and depreciation A Working backwards, after percentage rise is known 14 A Significant figures 15 E4 4 Remember, Remember Pythagoras Theorem 2.1 Find the hypotenuse of of a right angled triangle MTH 4-16a 2.2 Problems solved using Pythagoras Theorem MTH 4-16a 2.3 Finding the smaller side in a right angled triangle 22 MTH 4-16a 2.4 Mixed problems using Pythagoras Theorem MTH 4-16a 2.5 Find distance between 2 coordinate points 25 MTH 4-16a 2.6 Converse of Pythagoras Theorem 26 R4 1 Remember, Remember Time/Distance/Speed 3 1 The formula D = S x T 28 MNU 4-10a/b 3 2 The formulae S = D T and T = D S 29 MNU 4-10a/b 3 3 Time-distance-speed problems 30 MNU 4-10a/b 3 4 Converting hours and minutes to hours MNU 4-10a/b 3 5 Converting back from decimal times to hours and minutes MNU 4-10a/b 3 6 Time-distance-speed graphs MNU 4-10a/b Remember, Remember Home Exercise - Number 1 - covering Chapters Non Calculator - Number Scientific Notation 4.1 Large numbers into and out of scientific notation MTH 4-06b/E Small numbers in and out of scientific notation MTH 4-06b/E Scientific notation using a calculator - the Exp or EE buttons MTH 4-06b/E1 2 Remember, Remember The Circle The circumference of a circle MTH 4-16b/R Calculating the diameter from the circumference MTH 4-16b/R The area of a circle MTH 4-16b/R Calculate the radius, knowing the area. 52 MTH 4-16b/R Mixed problems 53 MTH 4-16b/R4 2 Remember, Remember... 54

15 Int-2-Credit Book 1 page 2 Part B Ch Heading Ex Topics Pages Outcome Comments/Methodology/Assessments 6. Linear Relationships 6.1 Gradients of hills, slopes, ladders etc. and comparisons MTH 4-13b/E Determine the gradient of a line in coordinate diagram MTH 4-13b/E Sketch a line given its equation in the form y = mx + c, (y = ax + b) MTH 4-13c/E The line - its gradient - and its y-intercept MTH 4-13c/E Rearrange Ax + By + C = 0 to find gradient and y-intercept 63 R Equations of the form P = mt + c, and problems involving lines R Find equation of line through A(x 1,y 1 ) and B(x 2,y 2 ) 67 MTH 4-13c/E4 1 Remember, Remember R1 1 Home Exercise Number 2 - covering Chapters Non Calculator Number Integer Work 7.1 Add and subtract Integers MNU 3-04a 7.2 Subtraction - the double negative MNU 3-04a 7.3 Multiply and divide Integers and take powers MNU 3-04a Remember, Remember Volumes of Solids 8.1 Revise areas of triangles and quadrilaterals 77 MTH 3-11b 8.2 Volume of cubes and cuboids, capacity and surface areas MTH 3-11b/E Volumes of prisms MTH 4-11c/E Volumes of cylinders MTH 4-11c/E Volumes of pyramids (and the cone) MTH 4-11c/E Curved surface areas of cylinders 85 MTH 4-11b 8.7 Volumes of spheres, hemi-spheres and composite shapes 86 MTH 4-11c Remember, Remember Algebraic Operations 9.1 Multiply algebraic expressions like 2x x 3x, 5ab x 3ac etc 88 MTH 3-14a 9.2 Multiply out brackets and tidy :- 3(2x 1) 2(4x + 3) etc MTH 4-14a 9.3 Multiply out double brackets and squaring brackets E Tidy up (2x + 3)(5x 1) (2x + 1) 2 and (x + 2) 3 93 E Factorise algebraic expressions - common factor 94 MTH 4-14b/E Difference of two squares, including 6x 2 24 and x 4 81 etc 95 E Trinomial expressions E Miscellaneous expressions 97 E2 2 Remember, Remember Home Exercise Number 3 - covering Chapters Non Calculator Number 3 100

16 Int-2-Credit Book 1 page 3 Part B Ch Heading Ex Topics Pages Outcome Comments/Methodology/Assessments 10. The Circle Arc lengths 101 MTH 4-17a/E Areas of sectors 102 MTH 4-17a/E Mixed examples 103 MTH 4-17a/E Angles at centre, given arc 104 MTH 4-17a/E Angles at centre, given area 105 MTH 4-17a/R Angles in circles - isosceles triangles MTH 4-17a/R Angles in a semi-circle MTH 4-17a/R Tangents to circles MTH 4-17a/R Tangent kites 112 MTH 4-17a/R4 2 Remember, Remember Revision of Ch 1-10 Practice work on Chapters Mini Exam Paper Basic RAT Trig 11 1 Introduction to tangents 121 MTH3-14a/R Tangents and calculating sides MTH3-14a/R Tangents and calculating angles MTH3-14a/R The sine ratio MTH3-14a/R The cosine ratio MTH3-14a/R Harder trigonometry questions R Use of SOHCAHTOA R5 2 Remember, Remember Equations & 12.1 All equations revised up to equations with brackets MTH4-15a/R1 2 Inequalities 12.2 Equations with brackets and quadratic terms 138 MTH4-15a/R Equations involving fractions 139 MTH4-15a/R Harder equations involving fractions 140 R Inequalities, including division of both sides by a negative R1 2 Remember, Remember Use Graphs, Charts 13 1 Interpret composite bar and line graphs 144 MTH 4 20a/4 21a & Tables 13 2 Introduction to pie-charts 145 MTH 4 20a/4 21a 13 3 Harder pie-charts MTH 4 21a 13 4 Scattergraphs 148 A Scattergraphs and correlation A Stem-and-leaf diagrams MTH 4 20a/4 21a 13 7 Dot-plots 154 MTH 4 20a/4 21a Remember, Remember Home Exercise Number 4 - covering Chapters Non Calculator Number 4 157

17 Int-2-Credit Book 1 page 4 Part B Ch Heading Ex Topics Pages Outcome Comments/Methodology/Assessments 14. Angle Properties 14 1 All basic angle properties 158 R Angles between parallel lines 159 R Angles in quadrilaterals 160 R4 2 Remember, Remember Solve Simultaneous 15 1 Revision of sketching lines 162 R1 3 Linear Equations 15 2 Solve simultaneous equations graphically 163 R Simultaneous equations - solution by elimination - basic 164 R Simultaneous equations - solution by elimination - harder R Simultaneous equations in two variables + associated problems R1 3 Remember, Remember Fractions 16.1 Fractions- simplifying and equivalent fractions MTH 4 07b/A Add and subtract basic fractions MTH 4 07b/A Add and subtract fractions with different denominators MTH 4 07b/A Multiply fractions 176 MTH 4 07b/A Divide fractions 177 A3 2 Remember, Remember Home Exercise Number 5 - covering Chapters Non Calculator Number Use Simple Statistics 17 1 Mean, median, mode and range of data set MTH 4 20b 17 2 Mean, median, mode and range from frequency table A Cumulative frequency tables 186 A Quartiles A Semi-interquartile range 190 A Box-plots MTH 4 21a 17 7 Standard deviation A Simple probability 197 MNU 3 22a 17.9 Assigning probabilities to events 198 MNU 4 22a Remember, Remember Use Trigonometry 18 1 Area of a triangle - using trigonometry A Sine rule - calculating a side A Sine rule - calculating an angle A Cosine rule - calculating a side A Cosine rule - calculating an angle 211 A Mixed problems A1 2/A Harder mixed problems A1 2/A1 3 Remember, Remember Revision of Ch Practice work for Chapters Mini Exam Paper 222

18 Int-2-Credit Book 2 page 5 Part B Ch Heading Ex Topics Pages Outcome Comments/Methodology/Assessments 0. Revision 0 Revision - Int-2-Credit Book Patterns 1 1 Recognise linear patterns of form y = mx 10 MTH 4 13a/R Recognise linear patterns of form y = mx + c MTH 4 13a/R Some trickier patterns MTH 4 13a/R1 1 Remember, Remember Perform Algebraic 2 1 Operations on algebraic fractions - simplifying E3 1 Operations 2 2 Operations on algebraic fractions - factorisation 18 E Operations on algebraic fractions - add & subtract E Operations on algebraic fractions - multiply & divide 21 E Change the subject of an expression - basic R Change the subject of an expression - harder R1 4 Remember, Remember Money Matters 3 1 Wages and salaries - overtime etc MNU 3 09b 3 2 Gross pay, deductions and net pay 29 MNU 4 09b 3 3 Income tax 30 MNU 4 09b 3 4 Valued added tax MNU 3 09b 3 5 Hire purchase 33 MNU 3 09b 3 6 Insurance 34 MNU 3 09b 3 7 Foreign exchange 35 MNU 3 09a Remember, Remember Home Exercise - Number 6 37 Non Calculator - Number Functions & Graphs 4 1 Number machines and the function notation f(x) R The quadratic function R The hyperbolic function 45 - Remember, Remember Similar Figures 5 1 Similar figures MTH 4 17b/R Similar triangles MTH 4 17b/R Similar triangles and parallel lines MTH 4 17b/R Ratios of areas of similar figures MTH 4 17b/R Ratios of volumes of similar figures MTH 4 17b/R4 3 Remember, Remember... 58

19 Int-2-Credit Book 2 page 6 Part B Ch Heading Ex Topics Pages Outcome Comments/Methodology/Assessments 6. Quadratic Function Sketching parabolas associated with quadratic function 59 R2 3/R Solve quadratic equations graphically - find roots 60 R Revise factorisation 61 R Solve quadratic equations by factorising R Sketch parabolas by factorising and using symmetry 65 R3 1/R Intersection of lines and parabolas by factorising 66 R3 1/R2 1 Remember, Remember Home Exercise Number 2 68 Non Calculator Number Trigonometric Graphs 7 1 Recognise/draw basic sine graphs (period etc) R Recognise/draw basic cosine graphs (period etc) R Recognise/draw basic tangent graphs (period etc) 74 R Trig functions of the form y = asinx and y = acosx R Trig functions of the form y = sinax and y = cosax R Trig functions of the form y = sinax + b and y = cosax + b R Trig functions of the form y = sin(x a) and y = cos(x a) 82 R5 1 Remember, Remember Surds and indices 8 1 What is a surd? 84 E Simplifying surds - adding, subtracting, multiplying and dividing E Indices - revision of powers - exponents - indices 87 MTH 4 06a/E The rules of indices - multiplying, dividing and powers of powers E1 2 a 0 = 1 and negative powers E Fractional powers and connection with surds 91 E1 2 Remember, Remember Quadratic Function Completed square form and minimum turning point (Intermediate 2) R2 1/R Completed square form and maximum turning point (Intermediate 2) 95 R2 1/R Quadratics of the form y = kx 2 (Intermediate 2) 96 R2 1/R The quadratic formula R3 1 Remember, Remember Home Exercise Number Non Calculator Number 3 101

20 Int-2-Credit Book 2 page 7 Part B Ch Heading Ex Topics Pages Outcome Comments/Methodology/Assessments 10. Proportion - Variation 10 1 Reminder of direct proportion 102 MNU 4 08a 10 2 Indirect proportion 103 MNU 4 08a 10 3 The language of variation - simple variation Variation involving powers and roots Inverse variation Joint variation Graphs of direct and inverse variation The effect of changing one or more values MNU 4 08a Remember, Remember Trig equations 11 1 Solve trig equations R Sine and cosine rules with negatives 119 R Trig identities R5 2 Remember, Remember Iteration 12 1 Iterative methods to solve quadratic equations Iterative methods to solve non-quadratic equations Remember, Remember Home Exercise Number Non Calculator Number Revision of Ch s 1-12 Practice work on Chapters Mini Exam Paper 132 A. Revision Examples Covers the work of the 2 books B. Exam Type - Practice 1 Covers all non-calculator work C. Exam Type - Practice 2 Covers all calculator work D. Specimen Papers Test paper 1 and paper 2 - Sets 1 and H1. Recurrence Relations Early Intro to Higher Work - Recurrence Relations H2. Equation of Lines Early Intro to Higher Work - Equations of Lines Answers to all sections