Pupil Learning Log

Mathematics Department Curriculum for Excellence

National 4

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 =


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Topic 1 - Whole Numbers (Chapter 1)

  1. Rounding to nearest 10,100,1000

257 300 to nearest hundred

  1. Multiplication by 10, 100 and 1000

78 x 1000 = 78000 (Add on 3 zeros)

  1. Division by 10, 100 and 1000

8600 ÷ 100 = 86 (Remove 2 zeros)

  1. Multiplying by 20, 30 and 500 etc...

83 x 500 = 83 x 100 x 5 = 8300 x 5 etc..

  1. Division by 20, 30 and 500 etc....

4500 ÷ 500 = 4500 ÷ 100 ÷ 5 = 45 ÷ 5 = 9

  1. Estimating answers

49 x 62 50 x 60 etc....

Topic 2 – Angles (Chapter 2)

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  1. Type of angles

Acute , Right-Angle , Obtuse , Straight , Reflex

  1. Naming Angles

Name is YBM

  1. Calculating missing angles.

Right angle 90o

Straight line 1800

Opposite angles are equal

Angle round a point 360o

  1. Angles in a Triangle.

Adds up to 180o

  1. Corresponding Angles (F-Angles)

Corresponding angles are equal.

  1. Alternate Angles (Z-angles)

Alternate angles are equal


Topic3–Decimal Numbers (Chapter 3)

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  1. Decimal scales

Read various scale intervals

  1. Rounding to 1and 2 decimal places
  2.  2.4 to 1 dp  2.36 to 2 dp
  1. Addition & Subtract decimals - Layout important
  1. Multiply decimals by a single digit
  1. Dividedecimals by a single digit
  1. Multiplication by 10, 100 and 1000
  2. x 100 = 356 (move point to the right 2 places)
  1. Division by 10, 100 and 1000

7.38÷ 1000 = 0.0738 (move point to the right 3 places)

  1. Conversions- lengths

mm  cm  m  km

  1. Conversions- liquid.

ml  cm3 litres


Topic 4 – Percentages (Chapter 4)

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  1. What a percentage means Out of a 100

(80 out of 100)

  1. Basic Percentage using a calculator

29% of £250

  1. Simple Percentagerise
  1. Simple Percentage Fall
  1. Percentage Increase
  1. Percentage Decrease

Topic 5 – Scale Drawings (Chapter 5)

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1.Enlargeing & Reducing Figures

Double  scale factor Half  scale factor

2. Simple Scale Drawing

1cm represents 2m etc.....

3. Scale Drawing using a protractor.

  1. 8 Figure compass points

North, East , South etc ......

5. Bearings and Scale Drawings

Topic 6 – Wages & Salaries (Chapter 6)

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  1. Wages – annual, monthly, weekly and hourly
  1. Calculating hourly rate

£10 for 2 hours work  hourly rate £5 per hour

  1. Weekly and monthly salaries
  1. Rise in wages
  1. Commission and bonus

Liam sells car. He is paid a commission of 15% on any

Windows he sells. He sold £ 30 000 worth of windows.

How much commission was he paid ?

  1. Simple overtime

Double time  Time and a half 

  1. Wage Slips – Deductions – gross / net pay

G1Test(Topics 1 – 6)

For my G1 test I will

Topic 7 – Algebra (Chapter 7)

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1.Tidying up like terms

x + x + y + y + x = 3x + 2y

2. Multiplying out brackets and tidying up

3( 4 – 2x ) + 7x = 12 - 6x + 7x = 12 + x

  1. Simple equations – balancing method

a + 7 = 11 2b = 32 3c – 2 = 16

4. Harder Equations - balancing method

3y + 2 = 2y – 10 2( c – 4 ) = 20

5. Solving simple Inequalities

> greater than

< less than

 less than or equal to

 greater than or equal to

6.Solving Inequalities

2x + 1 > 141
Topic 8 – Money & Bills (Chapter 8)

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  1. Simple Interest

How much is earned in interest if I have £60 in the bank for a year if annual interest is paid at 2% p/a.

  1. Simple Bills + VAT ( Old VAT 17.5% new VAT 20%)
  1. Simple Electricity bills


Topic 9 – Circle Work (Chapter 9)

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  1. Naming parts of a circle.

Circumference

Diameter

Radius

  1. Circumference of a Circle

(Perimeter)

C = πDor C = 2πr

  1. Problems involving circles.

Topic 10 – Time Distance Speed (Chapter 10)

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1.Revision of time – conversions and time intervals

2000  8.00pm5.30am  0530

2. Speed( Remember to convert time ! )

3. Distance( Remember to convert time ! )

4. Time

5. Mixed questions

6.Time / Distance / Speed graphs


Topic 11 – Fractions (Chapter 11)

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  1. Understanding Fractions

, ,etc......

  1. Simplifying a fraction

etc.....

  1. Fractions of a quantity
  1. Mental percentages calculations

e.g. 50% , 25% and 10%

  1. Equivalent fractions
  1. Addition & Subtractions of simple fractions
  1. Addition & Subtractions of harder fractions
  1. Multiplying fractions
  1. Division of fractions

Topic 12 – Statistics (Chapter 12)

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  1. Interpreting various simple graphs

Bar graph, Line graph , Pie-Chart etc....

  1. Construct various simple graphs.

Bar graph, Line graph , Pie-Chart etc....

  1. Construct Stem-Leaf diagrams.
  1. Construct Scattergraphs.
  1. Terminology – Mean, median, mode and range.

Median – middle value

Mode – most occurring number

Range – Highest – lowest

  1. Frequency Tables.
  1. Median and mode

from a frequency table

  1. Mean from a frequency table
  1. Cumulative Frequency tables – median.
  1. Probability

The chance of an event happening

G2 Test (Topics 6– 12)

For my G2 test I will
Results of G2 Test
G2 Test ( Calculator )
Question / Topic / mark / I know this / Needs revision
1 / Multiplying out brackets / /4
2 / Solving equations / /5
3 / Percentages (Interest) / /6
4 / Circle - Circumference / /3
5 / Circle - Perimeter / /6
6 / Time / /3
7 / Distance Speed Time / /3
8 / Distance Speed Time / /4
9 / Simplifying Fractions / /2
10 / Fractions / /3
11 / Stem-Leaf (including median) / /5
12 / Mean / /4
Total / /48
Next Steps
Pupil :
Guardians :


Topic 13 – Pythagoras Theorem (Chapter 13)

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  1. Squares and roots

62 = 36

  1. Pythagoras Theorem

(Right angled triangles ONLY)

Hypotenuse is always the longest side

which is always opposite the right angle.

  1. Calculating – Hypotenuse.
  1. Calculating – smaller side.
  1. Mixed questions

Topic 14 – Areas (Chapter 14)

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  1. Revision of Level E ( including composite shapes)

SquareRectangleRight-Angle Triangle

  1. Any of Triangle
  1. Parallelogram
  1. Rhombus and Kite
  1. Trapezium
  1. Composite Shapes

Topic 15 – More Money & Percentages (Chapter 15)

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  1. Revision – Level E percentages.

15% of 40 etc......

  1. Percentage – Profit / Loss
  1. Hire Purchase

Buying Products

Washing Machine Cash Price £365.50

or

by H.P. £75 deposit + 12 Payment £28.80

  1. InsuranceHousehold and Life
  1. Foreign Exchange
  1. Percentage Increase / Decrease

A shopkeeper buys crisps for 20p each.

He sells them for 28p.

What is his percentage profit?

Actual Increase = 28p – 20p = 8p


Topic 16 – Trigonometry SOHCAHTOA (Chapter 16)

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  1. Tangent Ratio (Right-angled triangles ONLY)

Calculating the missing side.

Calculating the missing angle.

  1. Sine Ratio(Right-angled triangles ONLY)

Calculating the missing side.

Calculating the missing angle.

  1. Cosine Ratio (Right-angled triangles ONLY)

Calculating the missing side.

Calculating the missing angle.

  1. Mixed Problems (SOHCAHTOA)


Topic 17 – Linear Patterns (Chapter 11)

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  1. Sequences

1, 2, 3, 5,8, 13 ......

  1. Square & Triangular Numbers

1,4,9,25,36,49,64,81,100 ......

1, 3,6,10, 15, 21, 28 ......

  1. Simple Linear Pattern Rule

Find the difference in C

C = 5 g

  1. Complicated Linear Pattern Rule

Find the difference in b

Find the correction factor

b = 3a + 1

Topic 18 – Probability Patterns (Chapter 18)

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  1. Likelihood Line
  1. Simple Probability

G3 Test (Topics 13– 18)

For my G3 test I will
Results of G3 Test
G3 Test ( Calculator )
Question / Topic / mark / I know this / Needs revision
1 / Simple Pythagoras Theorem / /4
2 / Pythagoras Theorem in context / /4
3 / Basic Area / /4
4 / Composite Area / /4
5 / Money - Basic Calculations / /3
6 / Money - Hire Purchase / /3
7 / Money - Insurance / /4
8 / Foreign Exchange / /2
9 / Trigonometry - Finding Length / /4
10 / Trigonometry - Finding Angle / /3
11 / Trigonometry - Finding Angle / /4
12 / Linear Patterns / /5
13 / Simple Probability / /5
Total / /49
Next Steps
Pupil :
Guardians :
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