2017 Secondary 1 Express Mathematics

Gradient of a Straight Line Graph Tips: Always keep your RUN positive (in the positive x -direction, to the RIGHT)   Equation of a Straight Line Graph Bonus: Sketching a Straight line Graph Sketching graph does not require graph paper!

What is a Function?       Example:   y = 3 x +2    is an equation with 2 variables, x and y . it can also be considered as a function where x is the input and y is the output.   We use an ordered pair ( x , y ) to represent sets of input and output that satisfy the equation. There are multiples of solution to this equation. It is impossible to list out all ordered pair that satisfy the equation. (too many!) The best way to represent the solutions to the equation is by drawing a graph that passes through the ordered-pair of the function. The graph of a linear equation or linear function is a straight line. Every point on the graph satisfies the equation.   

Rene Descartes & the fly       Introduction to Cartesian Coordinate System     Song: Coordinates of a Point Drawing a Straight Line Graph Axes and Scale follow scale and range required by the question Tables of Values first and last x values to follow the min. and max. values given in the range of the x -axis calculate y value by substituting x values in the equation.  Min. 3 points Plotting the graph Plot the points Draw a straight line to connect all points and label the graph by writing the equation beside the line drawn.    Axes and Scale of Graphs     Planning the position of the axes graph paper (from 1:00 to 1:51) Understanding the scale of each axis             Table of values           Note: we are using horizontal table instead of the v...

History of Pi 

Area of Triangle Area of Parallelogram Area of Trapezium from Triangle Area of Trapezium from Parallelogram   Area of Circle

  Comment: Q1 : Please take note of the comments that I have written in RED. Q2 : Please use SHORTEST method to find the required angles.         For instant, to find r, use corresponding angles of // lines directly instead of alternate angles of           parallel lines followed by vertically opposite angles .    Comment: Try to make use of exterior angle method  to find the number of sides of a regular polygon. Presentation wise, for either method, you are expected to FORM an equation and then solve it to find the number of sides.