Mathematics

Mathematics Scheme of Work, SS1, 2nd Term

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

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 click here to see all Questions and Answers

Decagon - Len Academy

What type of polygon is shown in the above image?

  • A. Nonagon

  • B. Decagon

  • C. Octagon

  • D. Hexagon

  • E. Hepagon

  • F. Pentagon

Which of the following is not part of a circle?

  • A. Section

  • B. Sector

  • C. Segment

  • D. Semicircle

  • E. Secant

  • F. Center

Acute Angle - Len Academy

What angle is shown in the above image?

  • A. Complementary

  • B. Supplementary

  • C. Acute

  • D. Obtuse

  • E. Reflex

  • F. Straight

An angle greater than 90o but less than 180o is termed _____.

  • A. Complementary

  • B. Supplementary

  • C. Acute

  • D. Obtuse

  • E. Reflex

  • F. Straight

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



Scheme of Work (Mathematics) SS1, 2nd Term


Week 1

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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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 sounds like 'hahaha'. This is because the number '5' means 'ha' in Thailand

In mathematics, 10! means 10 factorial. 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

Interestingly, 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

Let's use algebra to explain the simple statement below:

I am a number. When you subtract 3 from me, the result is 9. what number am I ?

Of course we know the answer is 12. You probably guessed it from your mind because it was that simple. The truth is, We could have a much more complicated statement of such; and that is where algebra comes into play.

Now, to apply algebra in the above statement, we use letters or alphabets to represent the unknown number(s). So using algebra, we can write:

  • Let the number be y

  • y - 3 = 9

  • y = 9 + 3

  • y = 12

Please read more on algebra here

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. Below are some points to note:

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 of a Circle - Len Academy

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

Circumference is to circle or any other curved surface

Perimeter of a Rectangle - Len Academy

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

Perimeter is to square or rectangle or polygon