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

Transcription

1 St Ninian s High School Mathematics Department Level TJ Book 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 = Name Class Teacher

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3 Topic - Integers (Chapter ). Understand concept of +ve and ve numbers. Use thermometer to add / sub integers mentally. The double negative (-) (-7) = 4 4. Multiplication of integers. 4 (-) x 5 = -0 (-5) x(-6) = 0 5. Division of integers 5 (-80) 5 = -6 (-6) (-) = 8

4 Topic Type of Numbers (Chapter 5). Multiples and L.C.M. ( Lowest Common Multiples) For 4 and LCM =. Factors and H.C.F. ( Highest Common Factor) For 4 and HCF = 4. Prime Numbers and prime decomposition. = x x

5 Topic Scientific Notation (Chapter 7). Large Numbers scientific notation Scientific Notation to normal form Small numbers scientific notation and vice-versa

6 Topic 4 Decimals (Chapter ). Revision - Level E decimals.. Addition / Subtraction decimals. Decimal point must be under each other.. Multiplying - decimal by a single digit. 4. Division decimal by a single digit Multiplying two simple decimals x 0. = Dividing two simple decimals Rounding to any number of decimal places (to d.p.) 8. Rounding to significant figures to sig. fig. 9. Money Calculations 9

7 Topic 5 Angles (Chapter ). Revision - Level E angles.. Interior and exterior angles. Clock Face

8 Topic 6 Algebra (Chapter ). Simplifying expressions y + 5m y + m = 9y + 8m. Expanding - brackets ( p + 7 ) = p +. Simplifying expressions with brackets 8( h + ) 8h = 8h + 4 8h = 4 4. Evaluating expressions 4 a = b = (-) c = 4 abc = x (-) x 4 = - 5. Factorise - expressions 5 y 6y = y( y )

9 Topic 7 Statistics (Chapter 7). Terminology Mean, median, mode and range.. Frequency Tables.. Mean from a frequency table. 4. Cumulative Frequency tables median Construct Pie Charts 5 6. Stem and Leaf diagrams Scattergraphs 7 8. Probability The chance of an event happening 8

10 F Test (Topics -7) For my F test I will

11 Results of F Test Outcome Score Number Money & Measurement Shape, Position & Movement Information handling Problem Solvimg & Enquiry Total % Question Topic mark I know this Needs Integers / Calculations with negative numbers /6 Factor tree & prime factors / 4 Scientific notation / 5 Algebra - substitution /8 6 Algebra - brackets /4 7 Algebra - factorising /4 8 Rounding / 9 Multiplication & division of decimals /6 0 Find missing angles /8 Mean, mode, median & range /7 Stem & leaf diagram /4 Problem solving - pendulum (multiples) /4 4 Problem solving - Area using algebra /6 Total /65 Next Steps Guardian s Signature :

12 Topic 8 Time Distance Speed (Chapter 47). Revision of time conversions and time intervals. Speed ( Remember to convert time! ) S D T. Distance ( Remember to convert time! ) D ST 4. Time 4 T D S 5. Mixed questions 5 6. Time / Distance / Speed graphs 6

13 Topic 9 Scales & Drawing (Chapter 7). Enlargement & Reduced shapes. Revise drawing triangles. Drawing Quadrilaterals 4. Scales - reading maps Bearings problems

14 Topic0 Equations / Inequations (Chapter 4). Revision Level E equations. y 6 0 y 4 y. Harder equations including negatives and brackets. ( y 4) 0 y 8 0 y y 6. Equations with fractional coefficients. ( y 5) 0 y 5 0 y 5 4. Inequalities 4 y 5 0 y 5 y 5

15 Topic Pythagoras Theorem (Chapter 59). Squares and roots 6 = 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) 4. Calculating smaller side. 4 ( smaller side) ( Hypotenuse ) ( other smaller side) 5. Mixed questions 5

16 Topic Percentages (Chapter 9). Revision Level E percentages. 5% of 40. Percentage Increase / Decrease (Appreciation / Depreciation) A jumper increases from 0 to. What is the percentage increase? 00 0% 0. A as a percentage of B 40 out of 50 as a percentage % Finding Initial Value 4 In a sale there is 0% off everything. In the sale a CD cost 8, what was the original cost. 80% 8 % %

17 Topic Fractions (Chapter ). Equivalent fractions 8 6. Addition & Subtractions of simple fractions Addition & Subtractions of harder fractions Multiplying fractions Division of fractions

18 F Test (Topics 8 ) For my F test I will

19 Results of F Test Outcome Score Number Money & Measurement Shape, Position & Movement Information handling Problem Solvimg & Enquiry Total % Question Topic mark I know this Part A ( non-calculator ) Solving Equations /4 Solving Inequations /4 Make an equation using area & solve /7 4 Change fraction to mixed number / 5 Change mixed number to fraction / 6 Add,subtract,multiply & divide fraction /0 7 Calculate percentage discount / 8 Calculate percentage profit / 9 Fractions problem solving /4 Part B ( Calculator ) Change hours & mins to decimal time / Change decimal time to hours & mins / Calculate distance, given speed & time / 4 Calculate time,given speed & distance / 5 Distance-Time graph /6 6 Scale / 7 Draw straight lines / 8 Scale drawing using bearings /5 9 Pythagoras Theorem /6 0 Pythagoras Theorem problem solving /4 Pythagoras Theorem problem solving /5 Total /88 Next Steps Needs revision Guardian s Signature :

20 Topic 4 Areas (Chapter ) 6. Revision of Level E Square Rectangle Right-Angle Triangle A l l A= l b A= bh 7. Any of Triangle A bh h 8. Rhombus and Kite b A Dd d 9. Parallelogram D 4 A bh b h 0. Trapezium a 5 A ( a b ) h h. Composite Shapes b 6

21 Topic 5 Circle Work (Chapter 9). Circumference of a Circle C = πd or C = πr. Finding the Diameter of a Circle C D. Area of a Circle A = πr 4 4. Mixed Problems

22 Topic 6 Ratio / Proportion (Chapter 4). Simple Ratios :. Simplifying Ratios Fractional Ratios 6: 4 = : 4 : : 6. Ratio Calculations Cats Dogs 4 x 9 x Proportional Division - Split 60 in ratio : 4 number of shares 5 share = 5 60 : 4 : 6 5. Proportion Direct Proportion Books Cost = x 70 = Linear Graphs of Direct Proportion Inverse Proportion Building a house Men Months 0 0 x = = 5 8

23 Topic 7 Linear Patterns (Chapter 5). Simple Linear Patterns y = ax. Harder Linear Patterns Y = ax + b F Test (Topics 4 7) For my F test I will

24 Results of F Test Outcome Score Number Money & Measurement Shape, Position & Movement Information handling Problem Solvimg & Enquiry Total % Question Topic mark I know this a,b,c Area of triangle, parallelogram, trapezium /6 Area of kite /4 Given Area, find missing side / 4 Circumference of a circle / 5 Find the Diameter given the circumferen / 6 Calculate perimeter of composite shape / 7 Calculate the area of circle / 8 Calculate area of composite shape /4 9 Simplify basic ratios / 0 Given the ratio find the missing answer / Share out a money into a given ratio / Direct proportion / Indirect proportion / 4 Complete table and find a formula /4 5 Find a formula decreasing sequence / Total /47 Needs revision Next Steps Guardian s Signature :

25 My Achievements Skill Activity Date & Teacher Signature

26 My Achievements Skill Activity Date & Teacher Signature