MATHS S4 Credit Course CHECKLIST

Transcription

1 St Ninian s High School MATHS S Credit Course CHECKLIST I understand this part of the course = I am unsure of this part of the course = I do not understand this part of the course = Name Class Teacher

2 S Course Checklist New Maths in Action Chapter - Area and Volume. Revision ( Conversion litres - millilitres, Area of Rectangle / Square. Surface Area etc.. The Area of a triangle. (A = b ase x height. The Area of a Parallelogram ( A = Base x Altitude. The Rhombus and Kite ( Area of a Kite = Half the product of the diagonals, A = d d. The trapezium ( A = h( a b h a b. The Area of Composite Shapes ( Split shape up into smaller shapes. Calculate individual areas and then add together. 7. The Volume and Surface Area of a Prism. ( Volume = Cross Section Area x Length or Height. Surface Area = Area of faces added together. 7

3 S Course Checklist New Maths in Action Chapter - Money. Money Calculations (. +. etc. Wages and Salaries ( Weekly wage = 00, How much does this person earn in a month? How much does this person earn in a year? 7 per hour, How much do you earn in one week if you work 0 hours etc. Time Sheets and Overtime ( Overtime Time and a half, Double Time, time and a quarter.. Piecework and Commission ( Piecework Person gets paid 0 for one maths lesson, how much for 0 lessons? Commission Sales person get % of the sales he makes. etc. Payslips ( Gross pay = Total amount earned before any deductions, Deductions = Tax, National Insurance, Pension, Net Pay = Total pay received after deductions. National Insurance Contributions ( This is a government tax on earnings, intended to contribute towards unemployment, ill health and retirement payments. 7. Income Tax (Tax allowance = Amount of money the government is not allowed to tax. Tax is calculated by taking your annual salary and subtracting your allowance. This is the amount that will be taxed. 8. Bank and Building Society Accounts ( Check book, cash card, credit card, bank statement. 9. Savings and Interest ( Simple Interest eg 00 is deposited in a bank for years. Work out interest gained for year and multiply by. Compound Interest The interest carries over onto the next year, thus building up in the bank account over the required term. 0. Appreciation and Depreciation ( Appreciation means an increase in value, Depreciation means a decrease in value. eg Appreciation House is worth 0000 and in years it is worth 000, How much has it appreciated by? Depreciation A Car is worth 000, find out how much it has depreciated by in years if the rate is 8%

4 S Course Checklist New Maths in Action Chapter Similarity. Representative Fractions ( cm Represents 0m, cm:000cm or :000. Scale Drawings ( Choose a suitable scale, Start all Movement points with a north line, Make sure all measurements are accurate.. Working out Scales ( cm : km, therefore cm : 00000cm = : Similar Triangles Larg e _ Measurement (Enlargement Scale Factor Small _ Measurement Small _ Measurement (Reduction Scale Factor Larg e _ Measurement. Other Similar Triangles ( The Corresponding Sides are x in proportion. Ratios of Areas ( The scale factor for the area is the square of the scale factor for the length 7. Surface Areas of similar solids ( If two solids are similar, then the scale factor for the surface area is the square of the scale factor for the length 8. Volumes of Similar Solids ( The scale factor for volume is the cube of the scale factor for length 7 8

5 S Course Checklist New Maths in Action Chapter Formulae. Review of BODMAS, removing brackets, Squaring numbers, substitution.( eg (x + = x +, -y =. Using Formulae (Substituting various answers into formulae eg A = hw, where h =.8, w = 70kg 00. Making Formulae ( I buy a CD m and Sell it for n, making a profit p. Formula would be P = n m. Change the subject of the Formula ( A = r, Change subject to r, r = A. Understanding Formulae ( C = d, What happens if we double d?

6 S Course Checklist New Maths in Action Chapter - Equations and Inequations. Revision ( Solving Equations, Foil, Lowest Common Multiple. Solving Harder Equations ( x x x 7 ( (. Equations with fractions ( Solve y. Inequalities (. Solving Inequalities ( Can you solve this Equation? 0m > x + 9, Remember by / a ve number will flip the symbol round the opposite way.

7 S Course Checklist New Maths in Action Chapter Algebraic Fractions. Revision of Fractions ( Adding, Subtracting, Multiplying, Dividing Fractions. Equivalent Fractions ( Find three fractions equivalent to x ( x = x ( x. Multiplying Fractions ( x x x y y y. Dividing Fractions ( x x x x 9. Adding Fractions ( Subtracting Fractions (

8 S Course Checklist New Maths in Action Chapter 7 The Straight Line. Plotting Coordinates (. Naming Grid Lines ( x =, y = etc. Gradient ( Is the measure of how steep a slope is. Vertical _ Height M = Horizontal _ Dis tan ce. Gradients on a coordinate grid ( m = y x y x. The Equation of a Line ( y = mx + c, m = Gradient, c = y intercept. The best fitting line ( Scatter graph containing a best fitting line

9 S Course Checklist New Maths in Action Chapter 8 - Quadratic Equations. Revision ( Solving Equations, Factorising, Difference of two squares, Quadratics. Introducing Quadratic functions / Equations (. Using Factors to solve Quadratic Equations ( x x = 0, x ( x = 0, therefore the solutions are x = 0 and x =. More Quadratic equations : Trinomials ( x x 0, (x + (x + = 0, (x + = 0, (x + = 0, Therefore x = -, x = -. Manipulation ( (x + =. Problems involving quadratic equations ( m (x + m x m Use Pythagoras to show that x x 0 7. A formula for solving quadratics b b ac ( x a 8. Iteration ( Find a solution between two numbers. Using trial and error 7 8

10 S Course Checklist New Maths in Action Chapter 9 Surds and Indices. Indices - Multiplication ( x x x x. Indices Division ( x 8 x x 8 x. Negative Indices ( x x,x x. Powers of powers ( ( x x x. Fractional Indices ( x x. Surds ( ab a b 8 7. Further Simplification ( a a b b 7 8. Rationalising the denominator ( 9 8

11 f x = x S Course Checklist New Maths in Action Chapter 0 - Functions. Illustrating a function (. Notation ( f(x = x +, Find (f = + = 0. Graphs of linear and quadratic functions (. Sketching Quadratic functions ( steps ( Find where (f(x = 0, ( Find the equation of its axis of symmetry ( Find Turning point Max or Min ( Find where the curve cuts the y axis, x = 0. a a. The function f(x =, x 0 ( The function is the x x f x = x simplest form of a reciprocal function.. The function f(x = a x, for a =,,

12 S Course Checklist New Maths in Action Chapter Trigonometric graphs and equations. Revision ( Soh Cah Toa. Exact Values Sin Cos Tan 0 o 0 o o 0 o 90 o Sines, Cosines and Tangents of angles > 90 o 90 < A < 80 nd Quadrant 0 < A < 90 st Quadrant 80 < A < 70 rd Quadrant 70 < A < 0 th Quadrant. Trig Functions and their graphs (. Solving Trigonometric Equations ( Sin x o = 0., Using Quadrants shown above SinA. Related Ratios ( TanA CosA

13 S Course Checklist New Maths in Action Chapter Trigonometry and triangle calculations. The Sine Rule Calculating Lengths and Angles a b c ( SinA SinB SinC. The Cosine Rule Calculating Lengths and Angles b ( a b c bccosa, Cos A = c a bc. The Area of a Triangle ( A = ab Sin C. Which Formula to use? ( sides Cosine rule, sides + angle between Cosine Rule, Sides + angle not between Sin Rule, side and angles Sin Rule