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 :- http://www.sqa.org.uk/files_ccc/cfe_courseunitsupportnotes_n5_mathematics_mathematics.pdf.
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 :- http://www.sqa.org.uk/files_ccc/cfe_courseunitsupportnotes_n5_mathematics_mathematics.pdf.
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 = 4 2 1 2 = 2 2 Ch 8 page 84-86 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 40-45 Ex4 1, Ex4 2, Ex4 3 Ch 8 page 87-91 Ex8 3, Ex8 4, Ex8 5 (2 5 x 10 3 ) x (6 8 x 10 12 ), (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 88-93 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 96-97 Ex9 7, Ex9 8 Ch 9 page 97 Ex9 7, Ex9 8 Ch 9 page 98
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 www.teejaypublishers.co.uk *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 16-18 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 18-21 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 55-58 Ex6 1, Ex6 2 Ch 6 page 64-66 Ch 6 page 59-63 Ex 6 3-6 5 Ch 13 page 148-151 Ex13 4 Ex13 5 Ch 6 page 68 Ch H2 page 209-210, Ex H2 1
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 101-103 Ex10 1, Ex10 2, Ex10 3 Ch 10 page 104-105 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. 25 827 becomes 30 000 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.
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 60-62 Ex6 4 Ch 6 page 67 Ex6 7 Ch 6 page 59-62 Ex6 3/4 Ch H2 page 212-214 ExH2 3, ExH2 4 Ch H2 page 216-217 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 136-142 Ex12 1-12 5 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 164-166 Ex15 3, Ex15 4 Ch 15 page 162-163 Ex15 1, Ex15 2 Ch 15 page 167-169 Ex15 5 Ch 15 page 170
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 + 1 2 at 2 to a, E = 1 2 mv 2 to v. Ch 2 page 22-23 Ex2 5 Ch 2 page 24-25 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) 2 + 1. Ch 9 page 93-96 Exs9 1-9 3 R2.2 Sketching a quadratic function. Equations of the form y = (x - d)(x - e) and y = (x + p) 2 + q. Ch 9 page 93-94 Ex9 1 R2.3 Identifying features of a quadratic function. y = (x 2) 2 + 1 is a parabola with min TP Equations of the form y = (x - d)(x - e) and y = ±(x + p) 2 + q. y = (x 2) 2 + 1 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 www.teejaypublishers.co.uk 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 59-60 Ex 6 1, Ex6 2 Ch 6 page 61-64 Ex 6 3, Ex6 4 Ch 9 page 97-98 Ex 9 4 Ch 6 page 67 Ch 9 page 99 Q 8, 9
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 www.teejaypublishers.co.uk Using Theorem of Pythagoras. Use Converse of Pythagoras Theorem. *Use Pythagoras in 3D situations. Ch 2 page 17-25 Ex 2 1-2 5 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 47-53 Exs5 1-5 5 Ch 5 page 54 Ch 14 page 158-160 Ex14 1, Ex14 2 Ch 14 page 161 Ch 10 page 106-112 Exs10 6-10 9 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 47-53 Exs5 1-5 3 Ch 5 page 54-55 Ex5 4 Ch 5 page 56-57 Ex5 5 Ch 5 page 58
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 70-82 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 0-360. Period. Ch 11 page 120-134 Ex 11 1-11 7 Related angles. Solving basic equations. Identities cos 2 x + sin 2 x = 1 and tanx = sinx /cosx. Ch 11 page 135 Ch 7 page 70-82 as above Ch 11 page 115-118 Ex11 1 Ch 11 page 120-121 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.
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 200-202 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 203-205 Ex18 2 Ch 18 page 206-207 Ex18 3 Ch 18 page 208-210 Ex18 4 Ch 18 page 210-211 Ex18 5 Which rule? (+ with SohCahToa). Ch 18 page 212-215 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 203-216 throughout exercises
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 www.teejaypublishers.co.uk *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 www.teejaypublishers.co.uk which are given in diagrams. Using skeleton diagrams. A2.3 Using vector components. *Adding or subtracting two- or threedimensional vectors using components. *See www.teejaypublishers.co.uk *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 :- www.teejaypublishers.co.uk 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 1 1-1 5 Ch 1 page 16 A3.2 Working with fractions. 4 1 4 1 4 5 2 1 2 x 1 8 Operations and combinations of operations of vulgar fractions including mixed numbers. Ch 16 page 171-177 Exs16 1-16 5 Ch 16 page 178
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 181-192 Ex 17 1-17 6 Ch 17 page 193-196 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 148-151 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.
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 :- http://www.sqa.org.uk/files_ccc/cfe_courseunitsupportnotes_n5_mathematics_mathematics.pdf.
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 3 2-6 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 11-12 A3 1 1.5 Appreciation and depreciation 12-13 A3 1 1.6 Working backwards, after percentage rise is known 14 A3 1 1.7 Significant figures 15 E4 4 Remember, Remember... 16 2. Pythagoras Theorem 2.1 Find the hypotenuse of of a right angled triangle 17-19 MTH 4-16a 2.2 Problems solved using Pythagoras Theorem 20-21 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 23-24 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... 27 3. 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 31-32 MNU 4-10a/b 3 5 Converting back from decimal times to hours and minutes 32-33 MNU 4-10a/b 3 6 Time-distance-speed graphs 34-36 MNU 4-10a/b Remember, Remember... 37 Home Exercise - Number 1 - covering Chapters 1-3 38 Non Calculator - Number 1 39 4. Scientific Notation 4.1 Large numbers into and out of scientific notation 40-41 MTH 4-06b/E1 2 4.2 Small numbers in and out of scientific notation 42-43 MTH 4-06b/E1 2 4.3 Scientific notation using a calculator - the Exp or EE buttons 44-45 MTH 4-06b/E1 2 Remember, Remember... 46 5. The Circle 1 5.1 The circumference of a circle 47-48 MTH 4-16b/R4 2 5.2 Calculating the diameter from the circumference 49-50 MTH 4-16b/R4 2 5.3 The area of a circle 50-51 MTH 4-16b/R4 2 5.4 Calculate the radius, knowing the area. 52 MTH 4-16b/R4 2 5.5 Mixed problems 53 MTH 4-16b/R4 2 Remember, Remember... 54
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 55-56 MTH 4-13b/E4 1 6.2 Determine the gradient of a line in coordinate diagram 57-58 MTH 4-13b/E4 1 6.3 Sketch a line given its equation in the form y = mx + c, (y = ax + b) 59-60 MTH 4-13c/E4 1 6.4 The line - its gradient - and its y-intercept 60-62 MTH 4-13c/E4 1 6.5 Rearrange Ax + By + C = 0 to find gradient and y-intercept 63 R1 1 6.6 Equations of the form P = mt + c, and problems involving lines 64-66 R1 1 6.7 Find equation of line through A(x 1,y 1 ) and B(x 2,y 2 ) 67 MTH 4-13c/E4 1 Remember, Remember... 68 R1 1 Home Exercise Number 2 - covering Chapters 1-6 69 Non Calculator Number 2 70 7. Integer Work 7.1 Add and subtract Integers 71-72 MNU 3-04a 7.2 Subtraction - the double negative 72-73 MNU 3-04a 7.3 Multiply and divide Integers and take powers 73-75 MNU 3-04a Remember, Remember... 76 8. 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 78-79 MTH 3-11b/E4 3 8.3 Volumes of prisms 80-81 MTH 4-11c/E4 3 8.4 Volumes of cylinders 81-82 MTH 4-11c/E4 3 8.5 Volumes of pyramids (and the cone) 83-84 MTH 4-11c/E4 3 8.6 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... 87 9. 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 89-90 MTH 4-14a 9.3 Multiply out double brackets and squaring brackets 90-92 E2 1 9.4 Tidy up (2x + 3)(5x 1) (2x + 1) 2 and (x + 2) 3 93 E2 1 9.5 Factorise algebraic expressions - common factor 94 MTH 4-14b/E2 2 9.6 Difference of two squares, including 6x 2 24 and x 4 81 etc 95 E2 2 9.7 Trinomial expressions 96-97 E2 2 9.8 Miscellaneous expressions 97 E2 2 Remember, Remember... 98 Home Exercise Number 3 - covering Chapters 1-9 99 Non Calculator Number 3 100
Int-2-Credit Book 1 page 3 Part B Ch Heading Ex Topics Pages Outcome Comments/Methodology/Assessments 10. The Circle 2 10.1 Arc lengths 101 MTH 4-17a/E4 2 10.2 Areas of sectors 102 MTH 4-17a/E4 2 10.3 Mixed examples 103 MTH 4-17a/E4 2 10.4 Angles at centre, given arc 104 MTH 4-17a/E4 2 10.5 Angles at centre, given area 105 MTH 4-17a/R4 2 10.6 Angles in circles - isosceles triangles 106-107 MTH 4-17a/R4 2 10.7 Angles in a semi-circle 108-109 MTH 4-17a/R4 2 10.8 Tangents to circles 110-111 MTH 4-17a/R4 2 10.9 Tangent kites 112 MTH 4-17a/R4 2 Remember, Remember... 113 Revision of Ch 1-10 Practice work on Chapters 1-10 114-117 Mini Exam Paper 118 11. Basic RAT Trig 11 1 Introduction to tangents 121 MTH3-14a/R5 2 11 2 Tangents and calculating sides 121-122 MTH3-14a/R5 2 11.3 Tangents and calculating angles 123-124 MTH3-14a/R5 2 11 4 The sine ratio 125-127 MTH3-14a/R5 2 11.5 The cosine ratio 128-129 MTH3-14a/R5 2 11.6 Harder trigonometry questions 130-131 R5 2 11.7 Use of SOHCAHTOA 132-134 R5 2 Remember, Remember... 135 12. Equations & 12.1 All equations revised up to equations with brackets 136-137 MTH4-15a/R1 2 Inequalities 12.2 Equations with brackets and quadratic terms 138 MTH4-15a/R1 2 12.3 Equations involving fractions 139 MTH4-15a/R1 2 12.4 Harder equations involving fractions 140 R1 2 12.5 Inequalities, including division of both sides by a negative 141-142 R1 2 Remember, Remember... 143 13. 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 146-147 MTH 4 21a 13 4 Scattergraphs 148 A4 2 13 5 Scattergraphs and correlation 150-151 A4 2 13 6 Stem-and-leaf diagrams 152-153 MTH 4 20a/4 21a 13 7 Dot-plots 154 MTH 4 20a/4 21a Remember, Remember... 155 Home Exercise Number 4 - covering Chapters 1-13 156 Non Calculator Number 4 157
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 R4 2 14 2 Angles between parallel lines 159 R4 2 14 3 Angles in quadrilaterals 160 R4 2 Remember, Remember... 161 15. Solve Simultaneous 15 1 Revision of sketching lines 162 R1 3 Linear Equations 15 2 Solve simultaneous equations graphically 163 R1 3 15.3 Simultaneous equations - solution by elimination - basic 164 R1 3 15 4 Simultaneous equations - solution by elimination - harder 165-166 R1 3 15 5 Simultaneous equations in two variables + associated problems 167-169 R1 3 Remember, Remember... 170 16. Fractions 16.1 Fractions- simplifying and equivalent fractions 171-172 MTH 4 07b/A3 2 16.2 Add and subtract basic fractions 172-173 MTH 4 07b/A3 2 16.3 Add and subtract fractions with different denominators 174-175 MTH 4 07b/A3 2 16.4 Multiply fractions 176 MTH 4 07b/A3 2 16.5 Divide fractions 177 A3 2 Remember, Remember... 178 Home Exercise Number 5 - covering Chapters 1-16 179 Non Calculator Number 5 180 17. Use Simple Statistics 17 1 Mean, median, mode and range of data set 181-183 MTH 4 20b 17 2 Mean, median, mode and range from frequency table 184-185 A4 1 17 3 Cumulative frequency tables 186 A4 1 17 4 Quartiles 188-189 A4 1 17.5 Semi-interquartile range 190 A4 1 17.6 Box-plots 191-192 MTH 4 21a 17 7 Standard deviation 194-196 A4 1 17 8 Simple probability 197 MNU 3 22a 17.9 Assigning probabilities to events 198 MNU 4 22a Remember, Remember... 199 18. Use Trigonometry 18 1 Area of a triangle - using trigonometry 200-202 A1 1 18 2 Sine rule - calculating a side 204-205 A1 2 18 3 Sine rule - calculating an angle 206-207 A1 2 18 4 Cosine rule - calculating a side 209-210 A1 2 18 5 Cosine rule - calculating an angle 211 A1 2 18 6 Mixed problems 212-213 A1 2/A1 3 18 7 Harder mixed problems 214-215 A1 2/A1 3 Remember, Remember... 216 Revision of Ch 11-18 Practice work for Chapters 11-18 217-221 Mini Exam Paper 222
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 1 1-9 1. Patterns 1 1 Recognise linear patterns of form y = mx 10 MTH 4 13a/R1 1 1 2 Recognise linear patterns of form y = mx + c 11-12 MTH 4 13a/R1 1 1 3 Some trickier patterns 13-14 MTH 4 13a/R1 1 Remember, Remember... 15 2. Perform Algebraic 2 1 Operations on algebraic fractions - simplifying 16-17 E3 1 Operations 2 2 Operations on algebraic fractions - factorisation 18 E3 1 2 3 Operations on algebraic fractions - add & subtract 19-20 E3 2 2 4 Operations on algebraic fractions - multiply & divide 21 E3 2 2 5 Change the subject of an expression - basic 22-23 R1 4 2 6 Change the subject of an expression - harder 24-25 R1 4 Remember, Remember... 26 3. Money Matters 3 1 Wages and salaries - overtime etc. 27-28 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 31-32 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... 36 Home Exercise - Number 6 37 Non Calculator - Number 6 38 4. Functions & Graphs 4 1 Number machines and the function notation f(x) 39-41 R1 1 4 2 The quadratic function 42-44 R1 1 4 3 The hyperbolic function 45 - Remember, Remember... 46 5. Similar Figures 5 1 Similar figures 47-49 MTH 4 17b/R4 3 5 2 Similar triangles 50-51 MTH 4 17b/R4 3 5 3 Similar triangles and parallel lines 52-53 MTH 4 17b/R4 3 5 4 Ratios of areas of similar figures 54-55 MTH 4 17b/R4 3 5 5 Ratios of volumes of similar figures 56-57 MTH 4 17b/R4 3 Remember, Remember... 58
Int-2-Credit Book 2 page 6 Part B Ch Heading Ex Topics Pages Outcome Comments/Methodology/Assessments 6. Quadratic Function 1 6.1 Sketching parabolas associated with quadratic function 59 R2 3/R3 1 6.2 Solve quadratic equations graphically - find roots 60 R3 1 6 3 Revise factorisation 61 R3 1 6 4 Solve quadratic equations by factorising 62-64 R3 1 6 5 Sketch parabolas by factorising and using symmetry 65 R3 1/R2 1 6 6 Intersection of lines and parabolas by factorising 66 R3 1/R2 1 Remember, Remember... 67 Home Exercise Number 2 68 Non Calculator Number 2 69 7. Trigonometric Graphs 7 1 Recognise/draw basic sine graphs (period etc) 70-71 R5 1 7 2 Recognise/draw basic cosine graphs (period etc) 72-73 R5 1 7 3 Recognise/draw basic tangent graphs (period etc) 74 R5 1 7 4 Trig functions of the form y = asinx and y = acosx 75-76 R5 1 7 5 Trig functions of the form y = sinax and y = cosax 77-78 R5 1 7 6 Trig functions of the form y = sinax + b and y = cosax + b 79-81 R5 1 7 7 Trig functions of the form y = sin(x a) and y = cos(x a) 82 R5 1 Remember, Remember... 83 8. Surds and indices 8 1 What is a surd? 84 E1 1 8 2 Simplifying surds - adding, subtracting, multiplying and dividing 85-86 E1 1 8 3 Indices - revision of powers - exponents - indices 87 MTH 4 06a/E1 2 8 4 The rules of indices - multiplying, dividing and powers of powers 88-89 E1 2 a 0 = 1 and negative powers 89-90 E1 2 8 5 Fractional powers and connection with surds 91 E1 2 Remember, Remember... 92 9. Quadratic Function 2 9 1 Completed square form and minimum turning point (Intermediate 2) 93-94 R2 1/R2 2 9 2 Completed square form and maximum turning point (Intermediate 2) 95 R2 1/R2 2 9 3 Quadratics of the form y = kx 2 (Intermediate 2) 96 R2 1/R2 2 9 4 The quadratic formula 97-98 R3 1 Remember, Remember... 99 Home Exercise Number 3 100 Non Calculator Number 3 101
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 104-105 - 10 4 Variation involving powers and roots 106-10 5 Inverse variation 107-108 - 10 6 Joint variation 108-109 - 10 7 Graphs of direct and inverse variation 110-111 - 10 8 The effect of changing one or more values 112-113 MNU 4 08a Remember, Remember... 114 11. Trig equations 11 1 Solve trig equations 115-118 R5 2 11 2 Sine and cosine rules with negatives 119 R5 2 11 3 Trig identities 120-121 R5 2 Remember, Remember... 122 12. Iteration 12 1 Iterative methods to solve quadratic equations 123-124 - 12 2 Iterative methods to solve non-quadratic equations 125-126 - Remember, Remember... 126 Home Exercise Number 4 127 Non Calculator Number 4 128 Revision of Ch s 1-12 Practice work on Chapters 1-12 129-131 Mini Exam Paper 132 A. Revision Examples Covers the work of the 2 books 133-152 B. Exam Type - Practice 1 Covers all non-calculator work 153-160 C. Exam Type - Practice 2 Covers all calculator work 161-184 D. Specimen Papers Test paper 1 and paper 2 - Sets 1 and 2 185-196 H1. Recurrence Relations Early Intro to Higher Work - Recurrence Relations 197-208 H2. Equation of Lines Early Intro to Higher Work - Equations of Lines 209-224 Answers to all sections 225-240