Mathematics

Mathematics Scheme of Work, SS1, 1st Term

len Alfred Ajibola - Mon, 18th March, 2019 @ 09:28

Topics in Mathematics

Angles: Type of angles based on degree measurement Angle Pairs: Types of angle pairs Conversion of Number Bases explained with examples Angles: What are Angles? Categories of Angles Lines and Types in Mathematics Number Base System - Table showing the Number Bases with explanations Mathematics Scheme of Work, SS1, 3rd Term Mathematics Scheme of Work, SS1, 2nd Term Mathematics Scheme of Work, SS1, 1st Term Trigonometry - Sine, Cosine and Tangent explained with worked examples Quadratic Equation - Factorization of Quadratic Equation Algebra - Explanation and Worked Examples on Algebra


Academic Questions in Mathematics

Please check out our Test Your Knowledge page to see all Questions and Answers

Factorize 12a2 - 20a + 3

  • A. (6a - 1)(2a - 3)

  • B. (6a - 1)(2a + 3)

  • C. (6a + 1)(2a - 3)

  • D. (6a + 1)(2a + 3)

  • E. (-6a + 1)(2a - 3)

  • F. (-6a + 1)(2a + 3)

Simplify 10ab + 7ab

  • A. 17ab2

  • B. 17a2b2

  • C. 3ab2

  • D. 3a2b2

  • E. 17ab

  • F 3ab

Which of the following is not a type of angle?

  • A. Right angle

  • B. Left Angle

  • C. Acute Angle

  • D. Complete Angle

  • E. Straight Angle

  • F. Reflex angle

Two lines that can never meet each other are best considered as _____ lines.

  • A. straight
  • B. vertical
  • C. horizontal
  • D. parallel
  • E. oblique
  • F. perpendicular

An angle at exactly 90o is a/an _____ angle.

  • A. acute
  • B. obtuse
  • C. reflex
  • D. right
  • E. complete
  • F. straight

Slanted or tilted lines that will finally meet at some point but NOT at a right angle are referred to as _____.

  • A. Oblique
  • B. Curved
  • C. Vertical
  • D. Perpendicular
  • E. Parallel
  • F. Horizontal

The two sides that forms an angle are referred to as the _____.

  • A. Arms
  • B. Vertexes
  • C. Bays
  • D. Zones
  • E. Limbs
  • F. Dune

The point where the two sides of an angle meet is termed the _____.

  • A. Arms
  • B. Vertex
  • C. Bays
  • D. Zones
  • E. Limbs
  • F. Dune

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Scheme of Work (Mathematics) SS1, 1st Term:

 

WEEK 1

Topic: Number Bases

  • Decimal base (Base 10) and other bases e.g. base 2(binary) base 7 (days of the week) etc.
  • Conversion from Base 10 to other bases, conversion from other bases to base 10.
  • Please read on Number Bases here

 

WEEK 2

Topic: Number Bases

  • Problem solving: addition, subtraction, multiplication and division of number in the various bases.
  • Conversion of decimal fraction in one base to base 10.
  • Apply number base system to computer programming.

 

WEEK 3

Topic: Modular Arithmetic

  • Revision of addition, division, multiplication and subtraction of integers.
  • Concept of modular arithmetic
  • Addition, subtraction and multiplication operations in modular arithmetic.
  • Application to real life situations.

 

WEEK 4

Topic: Indices

  • Laws of indices and their applications e.g. a.  ax x ay = ax+y b.  ax/ay = ax-y c.  (ax)y = axy
  • Application of indices, simple indicial/exponential equations. 

 

WEEK 5

Topic: Standard Form (AX10n)

  • Writing numbers in index form.
  • Adding two numbers and writing the results in standard form.
  • Subtracting one number from the other in standard form.
  • Multiplying numbers in standard form.
  • Dividing numbers in standard form including square root of such numbers.

 

WEEK 6

Topic: Logarithms

  • Deducing logarithm from indices and standard form i.e. if y=10x, then x=logy10
  • Definition of logarithm e.g.  log101000=3
  • Graph of y=10x using x=0.1, 0.2,……….

 

WEEK 7

Topic: Logarithms

  • Calculations involving multiplication and division.

 

WEEK 8

Topic: Logarithms

  • Calculations involving power and roots using the logarithm tables.
  • Solving practical problems using logarithm tables relating to capital market.
  • Explain the concept of capital market operation.
  • Use logarithm tables in multiplying the large numbers involved in capital market operation.

 

WEEK 9

Topic: Definition of Sets

  • Set notation – listing or roster method, rule method, set builder notation.
  • Types of sets: e.g. universal set, empty set, finite set and infinite set, subset, disjoint set, power set etc.

 

WEEK 10

Topic: Set Operations

  • Union of sets, intersection of sets and complement of sets.
  • Venn diagram.
  • Venn diagram and application up to 3 set, problems.

 

WEEK 11

Topic: Simple Equations

  • Change of subject of formula.
  • Formula involving brackets, roots and powers.
  • Subject of formula and substitution.
  • Please read on Algebra here

 

WEEK 12

Topic: Simple Equation and Variations

  • Revision of simultaneous linear equation in two (2) unknown.
  • Types and application of variations.

 

WEEK 13

  • Revision

 

WEEK 14

  • Examination

 

Mathematics scheme of work, SS1, 2nd Term

Mathematics scheme of work, SS1, 3rd Term

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Alfred Ajibola is a Medical Biochemist, a passionate Academician with over 7 years of experience, a Versatile Writer, a Web Developer, a Cisco Certified Network Associate and a Cisco CyberOps Associate.


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Amazing facts in Mathematics

The opposite sides of a 🎲 dice 🎲 will always give a sum of seven

31,556,926 seconds makes one year

From 0 through 1000, the only number that has the letter 'a' in it is 'one thousand'

÷

The division symbol '÷' is actually called an obelus

Four is the only number in the English language that is spelt with the same number of letters as the number (4) itself

40 is spelt as FORTY and not FOURTY. It is the only number that is spelt with letters arranged in alphabetical order 🙄

An odd number is a number that cannot be divisible by 2.

Every odd number has an 'e' in its spelling. They include:

  • One
  • Three
  • Five
  • Seven
  • Nine

555 in Thailand should sound like 'hahaha'. This is because the word '5' means 'ha' in Thailand

10! Actually means 10 factorial in mathematics. Below is its calculation:

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800

3628800 seconds is the same as 42 days

42 days is the same as 6 weeks

We can therefore say that 10! equals 6 weeks or 3628800 seconds in mathematics

When you multiply 111,111,111 by 111,111,111; the result equals 12,345,678,987,654,321


NOTABLE POINTS IN Mathematics

Sides of a right angle triangle - Len Academy

 

The image above shows a right angled triangle. The angle of the above right triangle is denoted as θ

 

Hypotenuse is always the longest side of the triangle.

Opposite is the side opposite the angle (θ)

Adjacent is the shorter side next to the angle (θ)

Each of Sin θ, cos θ and tan θ are the ratio of sides of the right triangle. They are calculated by using the formula (margic word) sohcahtoa:

Sohcahtoa - Len Academy

soh

Sin θ = Opposite/Hypotenuse

cah

Cos θ = Adjacent/Hypotenuse

toa

Tan θ = Opposite/Adjacent

Please read more on sine, cosine and tangent here

Circumference in mathematics means the distance around the edge of a circle (or a another curverd surface).

Perimeter means the distance around a square or rectangle or polygon.

Circumference is to circle or any other curved surface

Circumference of a Circle - Len Academy

Perimeter is to square or rectangle or polygon

Perimeter of a Rectangle - Len Academy