MATHS Level 4+ Course Pupil Learning Log

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Success is 99% Perspiration and % Inspiration St Ninian s High School Hard Work beats Talent every time when Talent doesn t Work Hard MATHS Level + Course Pupil Learning Log

1 Success is 99% Perspiration and % Inspiration St Ninian s High School Hard Work beats Talent every time when Talent doesn t Work Hard MATHS Level + Course Pupil Learning Log Expect to get out what you put in! Name : Teacher : 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 =

2 St. Ninian s High School Mathematics Dept Rules for Completing Homework Always write the date, Page No, Ex No, and a heading. Attempt all questions using the method and working shown in class. Self correct answers from the back of the booklet. Do any corrections. Parents must then sign your jotter to ensure that all questions have been attempted. If you found any questions difficult ask in class the next day.

3 + Chapter - Significant Figures & Integers. Significant Figures In mathematics a figure or digit is significant if it gives an idea of both: (i) Quantity (ii) Accuracy ALL TO DO WITH ZERO S. Estimating. Order of Operation (BODMAS) B Brackets O Other D Division M Multiplication A Addition S Subtraction. Revision of Integer + x 5 = 6 NOT 0 + (-) = - (-) = (-6) x (-) = (-6) x () = - (-6) (-) = (-6) () = -

4 + Chapter - Angles. Revision of Basic Angles.. Angles in quadrilaterals Internal angles add up to 60 o

5 + Chapter - Fractions Decimals and Percentages. Finding a Percentage without a calculator 0% of 80 0% 8 0% 8x =. Finding a Percentage using a calculator 9% of Linking Fraction Decimals Percentages

6 + Chapter - Money. Wages & Salaries including : Commission Liam sells car. He is paid a commission of 5% on any Windows he sells. He sold worth of windows. How much commission was he paid? Overtime Double time Time and a half. Wage Slips Deductions gross / net pay. Income Tax 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.. VAT ( Old VAT 7.5% new VAT 0%)

5 5. Hire Purchase Buying Products Washing Machine Cash Price 65.50 or by H.P. 75 deposit + Payment 8.

7 5 5. Hire Purchase Buying Products Washing Machine Cash Price or by H.P. 75 deposit + Payment Insurance - Household and Life 6 7. Foreign Exchange 7

8 + Chapter 5 - Algebraic Operations. Multiplying Terms a b 6ab y 8y y. Multiplying out brackets and tidying up (x ) ( x 5) 6x (x 0) x 8. Factorise - expressions y 6y = y( y )

9 + Chapter 6 - Symmetry. Line / Reflection Mirror image. Rotational / Turn Half turn, quarter turn etc... Order of rotation,,, etc.... Translation / Glide / Slide Wallpaper design etc...

10 + Chapter 7 - Tolerance. Tolerance. Tolerance Notation

11 + Chapter 8 - Straight Line. Gradient m Vertical Horizontal. Gradient from Coordinates m = y x y x. Sketching Straight Lines of the form y=mx y=mx+c. Finding the Equation of a Straight Line y=mx+c m = Gradient c = y - intercept

12 + Chapter 9 - Equations & Inequations. Revision and Equations. Harder Equation. Equations with Brackets

13 . Equations with Fractions 5. Equations with Harder Fractions Solving Inequations (Inequalities) The same as solving equations EXCEPT when dividing by a negative FLIP sign. Also NEVER put in an equal sign.

14 + Chapter 0 Power Roots & Scientific Notation. Powers Roots Scientific Notation Vice-Versa (Large Numbers) Small numbers scientific notation and Vice-Versa

15 + Chapter The Circle. Circumference of a Circle C = πd or C = πr Finding perimeter of Semi and Quarter Circles P D r r (88) 57.cm. Finding the Diameter of a Circle C D. Area of a Circle A = πr. Fractional Area 5. Mixed Questions A r B r 66 cm S (5) () 5

16 + Chapter - Transformation of Shapes. Transformations Reflections. Transformations - Rotations. Transformations Translation (Moving). Transformations Dilation (Changing Size) 5. Transformations Mixed 5

+ Chapter - Pythagoras Theorem. Pythagoras Theorem (Right angled triangles ONLY) Hypotenuse is always the longest side which is always opposite the right angle.

17 + Chapter - Pythagoras Theorem. Pythagoras Theorem (Right angled triangles ONLY) Hypotenuse is always the longest side which is always opposite the right angle. ( Hypotenuse ) ( smaller side) ( other smaller side). Calculating Hypotenuse. ( Hypotenuse ) ( smaller side) ( other smaller side)?. Calculating smaller side. ( smaller side) ( Hypotenuse ) ( other smaller side)??. Mixed questions 5. Distance between two points. 5

Converting Hours & Minutes to Decimal Time hours

18 + Chapter Distance Speed Time (DST). Distance D ST. Speed and Time ( Remember to convert Time! ) S D T T D S. Mixed Questions. Converting Hours & Minutes to Decimal Time hours minutes. hours 5 5. Decimal Time to Converting Hours & Minutes.9 hrs hours 5 minutes 6. Time / Distance (Speed) graphs 6

19 + Chapter 5 Proportion. Proportional Division - Split 60 in ratio :. Proportion per Item. Direct Proportion. Linear Graphs of Direct Proportion 5. Inverse Proportion 5

20 + Chapter 6 - Volume. Sphere. Cone. Pyramid

21 + Chapter 7- Patterns. Simple Linear Patterns y = mx. Harder Linear Patterns y = mx + c. Non - Linear Patterns y = x

22 + Chapter 8 - Angles in Circles. Isosceles Triangles. Angles in a Semi-Circle. Tangent Line. Tangent Kite 5. I have successfully completed past paper questions on this topic. 5

+ Chapter 9 - Trigonometry (S O HC A HT O A).

Calculating the missing side. Calculating the missing angle.

Cosine Ratio (Right-angled triangles ONLY) Opp cos x o Hyp .

I have successfully completed past paper questions on this topic.

23 + Chapter 9 - Trigonometry (S O HC A HT O A). Tangent Ratio (Right-angled triangles ONLY) Opp tan x o Adj Calculating the missing side. Calculating the missing angle.. Sine Ratio (Right-angled triangles ONLY) Opp sin x o Hyp Calculating the missing side. Calculating the missing angle.. Cosine Ratio (Right-angled triangles ONLY) Opp cos x o Hyp Calculating the missing side. Calculating the missing angle.. Mixed Problems (S O H C A H T O A) 5. I have successfully completed past paper questions on this topic. 5

24 + Chapter 0 - Similarity. Similar Figures z cm. cm cm ESF RSF 6 cm y 7 cm 5 cm Enlargement Scale Factor Reduction Scale Factor 5 ESF 5 RSF 5 5. Similar Triangles 8cm ESF = cm 5cm RSF = 7.5cm. Parallel Lines

25 . Area of Similar Figures. Area ( ESF) Area large Area ( RSF) Area small OR small large cm cm Small Area = x = 8cm Large Area = x 6 = 7cm cm 6cm Scale factor = ESF = = Large Area = () x 8 = 9 x 8 = 7cm 5. Volume of Similar Figures. 6. I have successfully completed past paper questions on this topic. 5

26 + Chapter - Fractions. Equivalent fractions Addition & Subtractions of simple fractions Addition & Subtractions of harder fractions Method : kiss and smile 6 6. Multiplying fractions Division of fractions

27 + Chapter Simple Statistics. Terminology Mean, median, mode and range.. Mean Median and Mode from Frequency Tables.. Mean from Cumulative Frequency Tables.

28 + Chapter Charts & Tables. Bar Graphs and Line Graphs. Interpreting Pie-Charts. Constructing Pie Charts

29 + Chapter - Probability. Simple Probability Expressed as a ratio P(A) = 0. means in 5 chance Expressed as a fraction P(A) = 0. means

30 My Achievements Skill Activity Date & Teacher Signature

Mathematics Department Level 3 TJ Book 3a Pupil Learning Log. St Ninian s High School. Name Class Teacher. I understand this part of the course =

Mathematics Department Level 3 TJ Book 3a Pupil Learning Log. St Ninian s High School. Name Class Teacher. I understand this part of the course = St Ninian s High School Mathematics Department Level TJ Book a Pupil Learning Log 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