TeeJay Publishers. SQA - National 4. National 4 Course Planner - Following Outcome Order

Transcription

1 TeeJay Publishers SQA - National 4 * Based on Books 3G and 4G National 4 Course Planner - Following Outcome Order This Course Planner for National 4 based on TeeJay Books 3G & 4G comes in two parts :- Part A - Each Outcome is listed, directly from the SQA site, with a reference as to how our Books 3G/4G, along with our Extension Packs, cover the entire contents as listed in the official documents. Use this if you wish to progress through the National 4 course Unit by Unit (not recommended). Part B - This time, the Chapters are listed in order from our 3G/4G books (+ extension work), and provide references to the official SQA list of Outcomes (A more practical course planner) TeeJay Publishers has produced Part B to assist schools in their practical preparation for a CfE National 4 course. Part B version of the Planner from TeeJay provides substance to what the content of each level includes, and gives an indication as to what is required at that level, with some basic examples where necessary. It provides the basis of a course based on TeeJay s Books 3G and 4G and because it is in electronic form, it includes a final column which will allow planners to list practical activities, ICT Resources and specific methodologies. Topics marked *To be developed will be made available to schools using 3G and 4G as free downloads from our web-site.

2 Expressions and Formulae (EF) page 1 Applying algebraic skills to manipulating expressions and working with formulae E1.1 Using the distributive law in an expression with a numerical common factor to produce a sum of terms. 3(4x ± 2) 5(a ± 2c) Tidying up simple expressions Multiplying out and simplify terms Ch 7 page 85 Ex1 Ch 7 page 86 Ex2 Ch 7 page 86 Ex3 Review 5 Page 62 E1.2 Factorising a sum of terms with a numerical common factor. 7x ± 21 9 ± 27x Revision - multiply out brackets & gather like terms. See 1.1 above. Finding factors of whole numbers. HCF also Factorising eg 6x - 14 = 2(3x - 7) Ch 15 page 172 Ex1 Ch 15 page 173 Ex2 Ch 15 page 174 Ex3 Ch 15 page 176 E1.3 Simplifying an expression which has more than one variable. 3a + 4b a + 6b Multiply out brackets and gather like terms Ch 7 page 87 Ex3 Q 2 Review 5 Page 62 E1.4 Evaluating an expression or a formulae which has more than one variable. Evaluate linear expressions for given variables 4w + 6t 3k Substitute numbers for letters in expressions Ch 14 page 162/3 Ex1 Formula... rules expressed in words Ch 14 page 164/5 Ex2 Using formulae eg V = 5PT. Find V when P = 2 and T = 3 Ch 14 page Ex3 4G Extension page 4 & page Ch 14 page 169

3 Expressions and Formulae (EF) page 2 E1.5 Extending a straightforward number or diagrammatic pattern and determine its formula. Well known sequences 4, 7, 10, 13,... 4, 9, 16, 25,... Extend to Fibonacci and triangular no s. Patterns in diagrammatic form. Evaluate your formula for given values. 3G Extension Ch 17 page Finding rules from tables, eg C = 5 x T Finding more complicated rules... like C = 5 x T 3 Ch 17 page Ex1 Ch 17 page Ex 2 Ch 17 page 213 Review 14 Page 170 E1.6 Investigating the gradient of a straight line. vertical distance over horizontal dist positive and neg* grads parallel lines have = grads Calculating gradient m = Equation of a straight line y = mx Drawing lines with equation y = mx Lines with equation y = mx + c vert dist horiz dist Ch 6 page Ex1 Ch 6 page Ex2 Ch 6 page Ex3 Ch 6 page Ex4 Ch 6 page 76 4G Extension Ch 6 page Grads in coordinate diagrams

4 Expressions and Formulae (EF) page 3 Applying geometric skills to circumference, area and volume E2.1 Calculating the circumference and area of a circle. Given radius & diameter Drawing and naming parts of a circle Drawing up a table to calculate value of!. Ch 9 page 101 Pract Using C =! x D including simple problems Revise Circumference D = C! Area =!r 2 Areas and arcs of part circles Ch 9 page 100 Ex1 Ch 9 page Ex2 Ch 9 page 106 Ch 10 page 112/3 Ex1 Ch 10 page 114/5 Ex2 3G Extension page Some more use of C =!D D = C! Area =!r 2 Areas of Part Circles Review 9 Page 111 Ch 10 page Ex3 Ch 10 page Ex4 Ch 10 page 121 4G Extension page Quarter Circles etc E2.2 Calculating the area of a parallelogram, kite, trapezium. E2.3 Investigating the surface of a prism. E2.4 Calculating the volume of a prism Composite shapes by splitting into rectangles & triangles. Know face, vertex, edge. Draw nets. Calculate surface area. Building up area of faces to surface area of cube/cuboid NET of cubes/cuboids/triangular prism Triangular prism, cylinder, other prisms given the area of base. E2.5 Using rotational symmetry. With straightforward linear shapes. Revise Line of Symmetry/Reflection Order of Symmetry Give shapes a half turn Ch 14 pge Rev n 3G Extension Ch 14 page Ch 14 pge Rev n Review 6 Page 78 Ch 7 page Ex1 Ch 7 page 85/6 Ex2 4G Extension Ch 7 - SA of Tr Prism SA of Cylinder Ch 8 pge Revision of basic Volume 4G Extension pg page Volume s Ch 3 page Ex1 Ch 3 page Ex2 Ch 3 page Ex3 Ch 3 page 41

5 Expressions and Formulae (EF) page 4 Applying statistical skills to representing and analysing data and to probability E3.1 Constructing a frequency table with Class Intervals from raw data E3.2 Determining statistics of a data set. Using ungrouped data mean median mode range 3G Extn page Pages Ch 12 page Ex5 E3.3 Interpreting calculated statistics. Using mean, median, mode, range to compare data sets* Compare mean/range from 2 data sets Discuss interpolation/extrapolation E3.4 Representing raw data in a diagram by constructing: Pie chart (%age and degs)* Bar graph Line graph Interpret Graphs, (Bar, Line, Pie Charts) Scattergraphs and Codes Stem-and-Leaf Diagrams Drawing Graphs Ch 12 page Ex1 Ch 12 page Ex2 Ch 12 page Ex3 Ch 12 page Ex4 Ch 12 page E3.5 Using probability. Calculation of probability as basic ratio. Interpret probability in the context of risk Intro to probability being a fraction between 0 and 1 Prob = No. Fav / No. Poss Ch 18 page 214 Ex4 Intr Ch 18 page Ex1 Ch 18 page 217 E4.1 Interpreting a situation where mathematics can be used and identifying a strategy. E4.2 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 5 Applying algebraic skills to linear equations R1.1 Drawing and recognising a graph of a linear equation. Draw using table of values or chosen values of x y = mx + c, know the meaning of m & c Recognise/use y = a, x = b Equation of a straight line y = mx. Drawing lines with equation y = mx. Lines with equation y = mx + c. Identify gradient and y-intercept Ch 6 page Ex2 - Rev of gradients 1st. Ch 6 page Ex2 Ch 6 page Ex3 Ch 6 page Ex4 Ch 6 page R1.2 Solving linear equations. ax + b = c ax + b = cx + d - a, b, c, d are integers. Solving simple equations like x + 3 = 10 and 2x = 10 Solving Equations like 2x + 3 = 11 Solving equations like 2(x + 5) = 16 Solving equations like 5x 2 = 2x + 10 Extend to inequalities :- 3x Ch 7 page Ex4 Ch 7 page 88 Ex5 Ch 7 page 89 Ex6 Ch 7 page 89 Ex7 3G Extn Ch Ch 7 page 90 Review 5 Page 62 R1.3 Changing the subject of a formula. Change the subject of : G = x + a T = xc E = wx + k h = v /n to n.

7 Relationships (Rel) page 6 Applying geometric skills to sides and angles in shapes R2.1 Using Pythagoras theorem. Given measurements Given coordinates Squares, Square Numbers, Square Roots R2.2 Using a fractional scale factor to enlarge or reduce a shape. Intro to Pythagoras Pythagoras Theorem (Hypotenuse Only) Problems involving Pythagoras Finding smaller side Rectilinear, non-regular shape Enlarge and Reduce simple shapes Scale Drawings (basic) 1 cm = 5 m etc Ch 13 page Ex1 Ch 13 page Ex3 Ch 13 page Ex4 Ch 13 page Ex5 Ch 13 page 161 Ex5+ Ch 13 page 162 3G Extn page Make Scale Drawing rectangles/triangles Ch 5 page Ex3 Scale Drawings - Angles & Bearings Meaning of Similar Scale Factor Scaling to get side Scaling to get Area Similar Triangles Scale Factor Ch 5 page Ex1 Ch 5 page Ex2 Ch 5 page Ex4 3G Extn page Review 4 Page 52 Ch 5 pge Ex1/2/3 Revision + Coordinates Review 15 Page 177 Ch 9 page Ex1 4G Extn Ch 9 pg Ch 9 page Ex2 Ch 9 page 110 R2.3 Using properties of shapes, parallel lines, symmetry and circle properties to calculate angles Triangle, quad, circle Angle in semi-circle Relationship between tangent and radius Combining of angle props Revn. suppl, compl, vert opp, 180 triangle Z and F angles and parallel lines Angle in a semi-circle = 90 Use of Pythagoras Th in a semi-circle Use of Trigonometry in a semi-circle Ch 2 page Ex4 3G Extension page 1-7 Angles between par lines Review 11 Page 133 Ch 12 pge Ex1 Ch 12 pge Ex 2 Ch 12 pge Ex3 Ch 12 pge Ex4 4G Extension pg Ch 12 page 144

8 Relationships (Rel) page 7 Applying trigonometric skills to right angled triangles R3.1 Calculating a side in a right- angled triangle. R3.2 Calculating an angle in a right-angled triangle. Given a side and an angle Intro to tangent only Opp, Adj, Hyp. Use a Sci Calc for tan Using tangent to find length of a side Use of sine to find a side Use of cosine to find a side (select) SOHCAHTOA (select) Given two sides Using tan to find an angle - Shift Button on calc. Use of sin to find an angle Use of cos to find a angle (select) SOHCAHTOA (select) Ch 16 page Int Ch 16 page 198 Ex1 Ch 16 page Ex2 Review 12 Page 145 3G Extn Ch 16 pg Ch 13 pge Ex1 Ch 13 pge Ch 13 pge Ex4 Ch 13 page 160 Ch 16 page Ex3 3G Extn Ch 16 pg Ch 16 page 204 Ch 13 pge Ex2 Ch 13 pge Ex3 Ch 13 pge Ex4 Applying statistical skills to representing data R4.1 Constructing a scattergraph. Given a set of data Scattergraphs and Codes Ch 12 page Ex2 R4.2 Drawing and applying a best-fitting straight line. The line should have roughly the same number of data points on either side. Use the line of best fit to estimate one variable given the other 3G Extn pg Ch R5.1 Interpreting a situation where mathematics can be used and identifying a strategy. R5.2 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

9 Numeracy (Nu) page 8 The learner will use numerical skills to solve straightforward real-life problems involving money/time/measurement. N1.1 Selecting and using appropriate numerical notation and units. Numerical notation should include: =, +,, /,, <, >, ( ), %, colon and decimal point Units should include:- money (pounds and pence) time (months, weeks, days, hours, minutes, seconds) measurement of length (mm, cm, metre, km, mile) weight (gram, kilogram) volume (millilitre, litre) temperature (C and F) 3G Extension page 8-12 Multiply & Divide by 10, 100, 1000 Multiply & Divide by 20, 300, 4000 etc Adding / Subtracting Decimals Multiplying / Dividing by single digit Mult/Dividing Decimals by 10, 100, 1000 Calculating weekly pay from hourly rate Calculating hourly rate from weekly pay Calc. annual pay from week/month pay Calc. week or month pay knowing annual Ch 1 page 11 Ex4/5 Ch 1 page 12 Ex6/7 Ch 1 page 13 Ch 3 page Ex4 Ch 3 page Ex5/6 Ch 3 page Ex7/8 Ch 3 page 40 Ch 6 page Ex1a Ch 6 page Ex1b Ch 6 page Ex2a Ch 6 page Ex2b Review 2 Page 131 Overtime and Total Pay Net Pay = Gross - Deductions; payslips Convert 24 hour to 12 hour & vice versa Time Intervals and Timetables Ch 6 page Ex5 Ch 6 page Ex6 Review 7 Page 88 Ch 10 page 107 Ex1 Ch 10 page Ex2

10 Numeracy (Nu) page 9 N1.1 Selecting and using appropriate numerical notation and units. (continued) % of a quantity without calculator Profit & Loss Problems. Hire Purchase. Some with % deposits. House Insurance - buildings & contents Life Insurance. Endowment policies etc. Foreign Exchange. Bank Balance ± 5, above/below sea-level, Using thermometer... 2 up from 4 Add/Subtract Integers Multiply/Divide Integers 2 x -9 etc Coordinates with negative numbers Ch 15 page Ex1 3G Extn page Ch 15 page Ex2 Ch 15 page Ex3 Ch 15 page Ex4 Ch 15 page Ex5 Ch 15 page Ex6 Review 8 Page Ch 15 page 195 Ch 1 page Ex1 Ch 1 page Ex2 Ch 1 page Ex3 Ch 1 page Ex4 Ch 1 page 23 Ex5 Ch 1 page 24 4G Extension page 1-3 N1.2 Selecting and carrying out calculations (involving whole numbers, fractions, decimals, percentages, ratio and propor n ). add and subtract whole no s including negative numbers; multiply whole numbers of any size, with up to 4-digit whole numbers; divide whole numbers of any size, by a whole number of up to two digits; round answers to nearest sig figure* or 2 dec places; find simple percentages and fractions of shapes/quantities, eg 50%, 10%, 20% and 25%, 33%; 1 2, 1 3, 1 4, 1/10, 1/5 calculate %age increase and decrease convert equivalencies between common fractions, decimals and percentages calculate rate: eg miles per hour or no. of texts per month

11 Numeracy (Nu) page 10 N1.2 Selecting and carrying out calculations (involving whole numbers, fractions, decimals, percentages, ratio and propor n ). (continued) calculate dist given speed and time calculate time intervals using the 12/ 24 hour clock calculate volume (cube/cuboid), area (rectangle and square) and perimeter (shapes with straight lines) calc ratio and direct prop n Rounding & Estimating Add/Subtract Integers Multiply/Divide Integers 2 x -9 etc Coordinates with negative numbers What is a decimal? Decimal Scales Rounding decimals Percentages to Decs, Fracts and %ages Finding a %age of a quantity with a calc Percentage Rise - find new figure Percentage Fall - find new figure Wage rises (percentage work) Commission Simple Interest including part years Bills including VAT Electricity Bills Ch 1 page 9-10 Ex1/2/3 Review 1 Page 25 Ch 1 page Ex3 Ch 1 page Ex4 Ch 1 page 23 Ex5 Ch 3 page Ex1 4G Extension page 1-4 Ch 3 page Ex2 Ch 3 page Ex3 Ch 4 page Ex1 Ch 4 page Ex2a Review 3 Page 42 Ch 4 page Ex2b Ch 4 page Ex2c Ch 4 page 49 3G Extn page Ch 6 page Ex3 Ch 6 page Ex4 3G Extn page Ch 8 page Ex1 Ch 8 page Ex2 Ch 8 page Ex3 Ch 8 page 99 3G Extn page 41-45

12 Numeracy (Nu) page 11 N1.2 Selecting and carrying out calculations (involving whole numbers, fractions, decimals, percentages, ratio and propor n ). (continued) Time Intervals and Timetables Time, Distance, Speed - finding distance Time, Distance, Speed - finding speed Time, Distance, Speed - finding time Time, Distance, Speed - a MIXTURE Ch 10 page Ex2 Ch 10 page Ex3 Ch 10 page Ex4 Ch 10 page Ex5 Ch 10 page Ex6 Time, Distance (Speed) Graphs Simplifying Fractions Fractions of a Quantity (calculator ok) Ch 10 page Ex7 Ch 10 page Ch 11 page Ex1 Ch 11 page Ex2 Review 13 Page 161 Simple Percentages as Fractions + Mental Ch 11 page Ex3 Harder (mental) %ages 75%, 40%, etc. % of a quantity without calculator Area of Rectangle A = L x B Ch 11 page Ex4 Review 10 Page 122 Ch 11 page 131 Ch 15 page Ex1 Ch 14 page Ex2 Area of right angled Triangle (& formula) Ch 14 page Ex3 Area of any Triangle A = 1 /2 L x B Area of composite shapes eg rectangle with triangle on top Ch 14 page Ex4 Ch 14 page Ex5 Ch 14 page 179 N1.3 Reading measurements using a straightforward scale on an instrument. Volume of cube & cuboid Direct Proportion Ratios & simplifying them use measuring instruments with straightforward scales to measure length, weight, volume and temperature read scales to the nearest marked, unnumbered division with a functional degree of accuracy Practical Ch 8 page Ch 2 page Ch 11 page

13 Numeracy (Nu) page 12 N1.4 Interpreting the measurements and the results of calculations to make decisions. use appropriate checking methods, eg check sums and estimation interpret results of measurements involving time, length, weight, volume and temperature recognise the inter-relationship between units in the same family, eg mm/cm, cm/m, g/kg, and ml/l use vocabulary associated with measurement to make comparisons for length, weight, volume and temperature throughout book throughout book N1.5 Explaining decisions based on the results of calculations. give reasons for decisions based on the results of calculations throughout book throughout book The learner will interpret graphical data and situations involving probability to solve straightforward real-life problems involving money/time/measurement N2.1 Extracting and interpretation data from at least two different straightforward graphical forms. Straightforward graphical forms should include: a table with at least four categories of information a chart where the values are given or where the scale is obvious, eg pie a graph where the scale is obvious, eg bar, pie, scatter or line graph a diagram, eg stem and leaf map or plan Stem & Leaf Diagrams throughout book Ch 12 page Ex4 throughout book N2.2 Making and explaining decisions based on the interpretation of data from basic graphical forms. N2.3 Making and explaining decisions based on probability. make decisions based on observations of patterns and trends in data. make decisions based on calculations involving data. make decisions based on reading scales in straightforward graphical forms offer reasons for the decisions made based on the interpretation of data recognise patterns and trends and use these to state the probability of an event happening make predictions and use these predictions to make decisions

14 TeeJay Publishers SQA - National 4 National 4 Course Planner - Following 3G/4G Order This is a more practical version of our Course Planner going through Books 3G & 4G in order :- This time, we list the Chapters in order from our 3G/4G books (+ extension work), and give a reference to the official SQA list of Outcomes (A more practical course planner) An assumption is made that pupils, entering a National 4 Course, would have been successful at CfE Level 2. Though we are upgrading our books 3G and 4G Textbooks to Books Nat 4-1 and Nat 4-2, TeeJay will continue to support those schools using our existing Books 3G and 4G by providing a detailed course planner which will allow schools to cover the National 4 Course using these resources. A National 4 Assessment Pack will be written, similar to our CfE packs and will include individual Outcome Assessments to measure ongoing progress, Cumulative Assessments to test longer term retention skills, Specimen Unit Assessments, an End of Course Diagnostic Assessment as well as a Specimen End of Course Nat 4 Exam. Those National 4 Topics, missing from 3G and 4G: (see those items marked * above) i.e. Change of Subject, Negative Gradients, Comparison of Mean and Mode of 2 Data-sets, Interpolation/Extrapolation, Drawing Pie- Carts and Significant Figures will appear as free downloads from our web-site.

15 Book 3G page 1 Ch Heading Pgs Topics N4 Outcomes Comments/Methodology/Assessments General Revision Attempt TeeJay s Level 2 Diagnostic Assessment 1 Whole Numbers 9-10 Rounding & Estimating NU Multiply & Divide by 10, 100, 1000 NU Multiply & Divide by 20, 300, 4000 etc NU NU Angles Types of Angles and Naming Angles using 3 letters (Revision only) Estimating and Measuring Angle (Revision only) Calculating the sizes of angles round a point, along a line etc. REL Drawing Triangles and Quadrilaterals accurately (Revision only) Angles in a Triangle - Isosceles, etc. REL 2.6 Extension Booklet 1-6 Alternate and Corresponding Angles REL Angles in Quadrilaterals REL REL Decimals What is a decimal? NU Decimal Scales NU Rounding decimals NU Adding / Subtracting Decimals NU Multiplying / Dividing by single digit NU Multiplying/Dividing Decimals by 10, 100, 1000 NU 1.1 Extension Booklet 8-10 Converting lengths (mm, cm, m, km) NU Converting volumes (ml, cl. litres) NU Converting weights (mg, g, kg, tonne) NU NU Percentages Percentages > Decimals and Fractions > Percentages NU Finding a percentage of a quantity with a calculator NU Percentage Rise - find new figure NU Percentage Fall - find new figure NU 1.2

16 Book 3G page 2 Ch Heading Pgs Topics CfE Outcomes Comments/Methodology/Assessments 4 Extension Booklet Express A as a percentage of B NU Percentage Profit / Loss NU Percentage Increase / Decrease NU NU Enlargement Enlarge and Reduce simple shapes (1 cm squared paper) REL Scale Drawings (basic) 1 cm = 5 m etc REL Making a Scale Drawing rectangles and simple triangles REL Scale Drawings using PROTRACTOR + RULER REL Compass Points and Bearings + Scale Drawings REL 2.2 Extension Booklet Scales & Enlargements REL Scale Factors REL REL Wages & Salaries Calculating weekly pay knowing hourly rate NU Calculating hourly rate knowing weekly pay NU Calculating annual pay from weekly or monthly pay NU Calculating weekly or monthly pay knowing annual NU Wage rises (percentage work) NU 1.1/ Commission NU 1.1/ Overtime and Total Pay NU Net Pay = Gross Deductions and payslips NU 1.1 Extension Booklet Harder Commission Questions NU 1.1/ NU Algebra 85 Tidying up simple expressions EF Multiplying simple terms EF Multiplying out brackets EF 1.3/REL Solving simple equations like x + 3 = 10 and 2x = 10 REL Solving Equations like 2x + 3 = 11 REL Solving equations like 2(x + 5) = 16 REL Solving equations like 5x 2 = 2x + 10 REL 1.1

17 Book 3G page 3 Ch Heading Pgs Topics CfE Outcomes Comments/Methodology/Assessments 7 Extension Booklet Inequalities REL NU 1.1/REL Money Simple Interest including part years NU Bills including VAT NU Electricity Bills NU NU Circle 100 Drawing and naming parts of a circle (COMPASSES) EF 2.1 Circumference 101 Drawing up table to calculate value of! EF Using C =! x D including simple problems EF 2.1 Extension Booklet Harder Circumference Questions EF Finding the Diameter (D = C!) EF Area of Circle EF Area of Part Circle EF EF Time 107 Converting 24 hour > 12 hour & vice versa NU 1.1 Distance Time Intervals and Timetables NU 1.1/ NU 1.2 Speed Time, Distance, Speed - Finding DISTANCE NU Time, Distance, Speed - Finding SPEED NU Time, Distance, Speed - Finding TIME NU Time, Distance, Speed - a MIXTURE NU Time, Distance (Speed) Graphs NU 1.2 Extension Booklet Hours & Minutes to Decimals NU Decimal Times to Hours & Minutes NU NU Fractions Simplifying Fractions NU Fractions of a Quantity (calculator can be used) NU Simple Percentages as Fractions + Mental Calculations NU Harder (mental) Percentages 75%, 40%, etc. NU NU 1.2

18 131 NU 1.2 Book 3G page 4 Ch Heading Pgs Topics CfE Outcomes Comments/Methodology/Assessments 12 Statistics Interpreting Graphs, (Bar, Line, Pie Charts) EF Scattergraphs and Codes EF 3.4 /REL Stem-and-Leaf Diagrams EF 3.4/NU Drawing Graphs (All) EF Mean, Median, Mode and Range EF 3.6 Extension Booklet Line of Best Fit in Scattergraph REL Construct Frequency Tables EF Above Outcomes 13 Pythagoras Theorem Squares and Square Numbers REL Square Roots REL Introduction to Pythagoras REL Pythagoras Proper (Hypotenuse Only) REL Problems involving Pythagoras REL Finding a smaller side REL 2.1 Extension Booklet Calculate a Smaller Side REL Distance between 2 points on coordinate grid REL Mixed Examples REL REL Areas Count square centimetre boxes to find area NU Area of Rectangle A = L x B NU Area of right angled Triangle intro & A = 1 / 2 L x B NU Area of any Triangle A = 1 / 2 L x B NU Area of composite shapes eg rect. with triangle on top NU 1.2 Extension Booklet Area of Parallelogram EF Area of Rhombus & Kite EF Area of Trapezium EF NU 1.2

19 Book 3G page 5 Ch Heading Pgs Topics CfE Outcomes Comments/Methodology/Assessments 15 Money % of a quantity without calculator. Note 33 1 / 3 % etc NU 1.1/NU Profit & Loss Problems. (sell same amount as bought) NU Hire Purchase. Some with % deposits NU House Insurance - buildings & contents NU Life Insurance. Endowment policies etc. NU Foreign Exchange. Intro to the euro NU 1.1 Extension Booklet % Profit NU NU Trigonometry Intro to tangent Only TANGENT is covered in book! REL Opp, Adj, Hyp. Using a Sci Calc for Tan REL Using Tan to find length of a side REL Using Tan to find an angle - Shift Button on calc. REL 3.2 Extension Booklet Find Missing Side with Sine REL Find Missing Angle with Sine REL Find Missing Side/Angle with Cosine REL 3.1/REL A great big Mixture REL 3.1/REL REL Linear Patterns Finding rules from tables... like C = 5 x T EF Finding more complicated rules... like C = 5 x T 3 EF 1.6 Extension Booklet Pattern - Square Numbers EF Pattern - Triangular Numbers EF EF Probability 214 Intro to probability being a fraction between 0 and 1 EF Prob = Number of Favourable Ways Number of Possible Ways EF EF 3.5

20 Book 4G page 6 Ch Heading Pgs Topics CfE Outcomes Comments/Methodology/Assessments 0 Revision 1-15 Revision All of Book 3G 1 Integers Bank Balance ± 20, above/below sea-level, etc. NU Using thermometer... 2 up from 4 NU Add/Subtract Integers NU 1.1/NU Multiplication/Division of Integers 2 x -9 etc NU 1.1/NU Coordinates with negative numbers NU 1.1/NU 1.2 Extension Booklet 1 Algebraic Addition/Subtraction (Extension only) NU 1.1/NU The Double Negative NU 1.1/NU x by a Positive Integer EF NU 1.1/NU Review 1 on Rounding NU Proportion Rate - m.p.h, words per minute etc. NU Direct Proportion 5 apples cost 20p. What do 7 cost? NU NU Review 2 on Decimals NU Non-Calculator Revision 1-3 Symmetry Finding lines of symm. + Reflecting shapes in them EF Order of symmetry. Half-turn symmetry EF Giving shapes a Half-turn. (180 turn) EF EF Review 3 on Percentages NU Indices - Powers Using Power Button on Calculator eg 2 5 =... (Not in National 4) Change normal numbers into Scientific Notation (Not in National 4) Change Scientific Notation back into normal numbers(not in National 4) 51 (Not in National 4) 52 Review 4 on Pythagoras REL Non-Calculator Revision 2 -

21 53 Non-Calculator Revision 2 - Book 4G page 7 Ch Heading Pgs Topics CfE Outcomes Comments/Methodology/Assessments 5 Pythagoras Theor Pythagoras Minus - finding a small side. Further Problems REL Distance between 2 points. Pythagoras Plus REL A mixture - Pythagoras Plus OR Pythagoras Minus REL REL Review 5 on Algebra EF 1.3/REL Gradients & Lines Calculating gradient m = vertical distance / horizontal distance EF Equation of a straight line y = mx EF 2.5/REL Drawing lines with equation y = mx EF 2.5/REL Drawing lines with equation y = mx + c EF 2.5/REL 1.1 Extension Booklet Gradients in Coordinate Diagrams EF EF 2.5/REL Review 6 on Areas EF Non-Calculator Revision 3-7 Surface Areas Building up area of faces to surface area of cube/cuboid EF the NET of cubes/cuboids/triangular prisms EF 2.3 Extension Booklet Surface Area of a Triangular Prism EF Surface Area of a Cylinder EF EF Review 7 on Wages & Salaries NU Volumes Counting cubic centimetre blocks NU Use of formula V = L x B x H NU Liquid volume - cu cm, ml, litres. (+ Conversion ml to l) NU 1.2 Extension Booklet Volume of a Cylinder EF Volume of a Triangular Prism EF NU Review 8 on Money NU Non-Calculator Revision 4

22 102 Non-Calculator Revision 4 Book 4G page 8 Ch Heading Pgs Topics CfE Outcomes Comments/Methodology/Assessments 9 Similar Figures Meaning of Similar. Scale Factor Scaling to get side REL Similar Triangles Scale Factor REL 2.2 Extension Booklet Similar Areas REL REL Review 9 on Circumference EF Circle (Area) Revision of circumference C =!d + Harder examples EF diameter = 2 x radius. Using D = C/! to find diameter EF Area of Circle A =!r 2 Be aware of when diameter is given EF Area of semi-circles, parts of circles etc. EF 2.1 Extension Booklet Harder Questions on Circumference & Area EF EF Review 10 on Fractions NU Non-Calculator Revision 5-11 Ratio Writing Ratios from pictures using : symbol NU Simplifying ratios eg 12:18 = 2:3 NU Given a ratio, perform a calculation NU Sharing in a given ratio. eg split 20 in ratio 2:3 NU NU Review 11 on Angles REL Angles in Circles Revision :- suppl, compl, vert opp, 180 triangle REL Experiment with angles in circles Protractor/Compasses REL Angle in a semi-circle = 90 REL Use of Pythagoras Th in a semi-circle REL Use of Trigonometry in a semi-circle REL 2.3 Extension Booklet Tangent to a Circle REL Using Pythagoras & Trig REL REL 2.3

23 Book 4G page 9 Ch Heading Pgs Topics CfE Outcomes Comments/Methodology/Assessments 145 Review 12 on Trigonometry REL Non-Calculator Revision 6-13 Trigonometry use of SIN to find a side REL 3.1 (revisited) use of SIN to find an angle REL use of COS to find a side then to find an angle REL SOHCAHTOA Choose from :- tan OR sin OR cos! REL 3.1/REL REL 3.1/REL Review 13 on Time/Distance/Speed NU Formulae Substitute numbers for letters in expressions EF Formula... rules expressed in words EF Using formulae eg V = 5pt. Find V when p = 2 and t = 3 EF 1.4 Extension Booklet Harder Questions on Substitution EF EF Review 14 on Patterns EF Non-Calculator Revision 7-15 Factorising 172 Revision - multiply out brackets & gather like terms EF Finding factors of whole numbers. HCF also. EF Factorising eg 6x - 14 = 2(3x - 7) EF EF Review 15 on Scales & Enlargement REL Tolerance (Not in National 4) 17 Variation (Not in National 4)