Monday, March 7
Continuation of mappings
Notation: f(0), f(1) etc.
Plotting functions over specific intervals
≥ inclusive, > exclusive
Arithmetic sequences and their connection to linear equations
Functions defined on the real set of numbers are continuous
Functions defined on the natural set of numbers are non-continuous
Basic algebra – expanding a quadratic 2(n-1)^2
Given an equation, write in notation f:x →
Plotting equations on real and natural number sets
Finding an equation that fits a set of points
Review: finding intersection of two points
Friday, March 4
Review: definition of functions, horizontal and vertical lines
Function machines
f(x) notation – f is a function of x
Mappings from Set A to Set B
Domain, co-domain, range
Continuous versus discrete elements
Wednesday, March 2
Extra class – Vastrapur (3:00 – 6:00 – but Sparsh, Sarang, Himanshu came 30 min. late, Komal came 2.5 hours late)
Sums worked:
- p. 163 # 7 Soft copy
- p. 163 #8 Soft copy
- p. 163 #10 Soft copy
- p. 166 #5 Soft copy
- p. 312 Soft copy – example 1a
Exercise using equations to substitute for equal quantities (ex. a = b and c = d then a+c = b+d)
Definition of functions; vertical line test
Tuesday, March 1
(very short lecture – proxy 5th period)
- Given equation of three lines, find whether they intersect at a common point
- Write an equation of a line that is perpendicular to a given line and which intersects it at a certain point
(began this but didn’t finish)
Monday, Feb 28
- Given equation of line, determine if two points lie on it
- Given y-intercept of line, and a point, find equation of the line
- Given point on the line and gradient, find equation of the line
- Basic algebra sum : (3/x) +4 = x
Finding points of intersection by elimination or plotting
Point of intersection for two lines with the same gradient – no solution
- Find a line parallel to a given line which passes through a specific point
Friday, Feb 18
Review: y = mx + c
Gradient = Rise/Run
Large, small and negative gradients
Gradients of any non-linear functions are not constant
- Determining if two points lie on a line
- Finding the equation of a line that connects two points
Gradients of parallel lines are equal
Horizontal lines y= k (k is a constant); Ex. y = 3, y= 2 etc.
- Write equation of line given a point and the gradient
- Draw a line given a point and the gradient
Lines in the form of 0 = ax +by +d and 0 = 3x – y +2
- Write equation of line passing through two points in the forms of y=mx+c and 0=ax+by+d
Tuesday, Feb 15
(very short lecture – proxy period)
Linear equation word problem example: p. 163 soft copy book #6
- Finding intersection of lines by 1) elimination 2) plotting
Monday, Feb 9
Introduction to linear equations
Example: supply and demand function
Meaning of gradient and y-intercept
Writing a linear equation
y = mx +c form
Steepness and direction of gradients
We can choose any values for m and c
Horizontal and vertical lines
