Mathematics

Mathematics Scheme of Work, SS1, 2nd Term

len Alfred Ajibola - Mon, 18th March, 2019 @ 09:53

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, 2nd Term:

 

WEEK 1

Topic: Factorisation of Quadratic Expression of the form "a x 2 + bx + c" where a, b, c are constants

  • Factorising quadratic expression of the form a x 2 + bx + c
  • Factorising quadratic expression of the form a x 2 - bx + c
  • Factorising quadratic expression of the form a x 2 + bx - c
  • Factorising quadratic expression of the form a x 2 - bx - c
  • Solving quadratic equation of the form a x 2 + bx + c = 0 using factorization method.
  • Please read on Factorization of Quadratic Equation here.

 

WEEK 2

Topic: Approximation

  • Rounding up and rounding down of numbers to significant figures, decimal places and nearest whole numbers.
  • Application of approximation to everyday life.
  • Percentage error.

 

WEEK 3

Topic: Quadratic Equations

  • Plotting graph in which one is quadratic function and one is a linear function.
  • Using an already plotted curve to find the solution of the various equations.
  • Finding the gradient of a curve, the maximum value of y, and minimum value of y and the corresponding values of x.
  • Solving a comprehensive quadratic and linear equation graphically.
  • Word problem leading to quadratic equations.

 

WEEK 4

Topic: Logical Reasoning

  • Meaning of simple statement – open and close statements, true or false.
  • Negation of simple statements.
  • Compound statements – conjunctions, disconjunctions, implication, bi-implication with examples.

 

WEEK 5

Topic: Logical Reasoning

  • Logical operations and symbols – Truth value table – compound statement, Negation (NA), conditional statement, bin-conditional statement.

 

WEEK 6

Topic: Mensuration of Solid Shapes

  • Length of arc of a circle with practical demonstration, using formula.
  • Revision of plane shapes – perimeter of sector and segment.
  • Area of sector and segment.

 

WEEK 7

Topic: Mensuration of Solid Shapes

  • Relationship between the sector of a circle and the surface area of a cone.
  • Surface area of solids – cube, cuboids, cylinder, cone, prism, pyramids.

 

WEEK 8

Topic: Mensuration of Solid Shapes

  • Volume of solids – cube, cuboids, cylinder, cone, prism, pyramids, frustum of cone and pyramids.
  • Surface area and volume of compound shapes.

 

WEEK 9

Topic: Construction

  • Lines, line segments, bisection of a line segment e.g. horizontal, vertical, inclined lines etc.
  • Construction and bisection of angles e.g. 180o, 90o, 45o, 22o, 60o, 30o, 150o, 75o, 135o, 105o, 165o etc.
  • Construction of triangles.
  • Construction of quadrilaterals.

 

WEEK 10

Topic: Locus of Moving Points

  • Equidistant from 2 intersecting straight lines.
  • Equidistant from 2 points.
  • Equidistant from a fixed point etc.
  • Construction of locus equidistant from a given straight line.

 

WEEK 11

  • Revision

 

WEEK 12

  • Examination

 

Mathematics scheme of work, SS1, 1st 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