Graphs equations and tables.
External on the 14th of November
4 credits
Thanks to
http://www.studyit.org.nz/subjects/maths/math1/3/
2011 Ms Allan
Mathematics 1.3
Investigate relationships between tables,
equations and graphs
Linear equations
Simultaneous linear equations
Linear graphs
Linear patterns
Graphing parabolas
Quadratic equations
Quadratic patterns
Exponential equations and graphs
Interpreting gradients
Linear equations
Solve for a,b and c:
3a+6 = 3-4a
3(b + 2) = 15
4c – 9 > c + 7
Simultaneous linear equations
Solve for A and b
A = 3b + 2
A = 6b - 8
Linear graphs
Draw these graphs on a set of axis
y = 2x + 3
X=3
Y=8
Y = -0.5x - 1
Linear patterns
For the sequence of diagrams
below, find the rule for the number
of white tiles (w) in terms of the
number of black tiles (b).
Graphing parabolas
Draw these graphs on a set of axis
y = x2 + 3
y = -x2 + 2
y = (x-4)2
y = (x+4)2 + 1
Quadratic equations
What are the x intercepts of
Y=(x-3)(x+4)
Solve for x by factorising first
0 = x2 + 7x + 12
Quadratic patterns
Find a rule for calculating the total number of
boxes in each diagram, if the number of boxes in
the bottom layer is known.
Draw up a table to show the number of boxes in
the bottom layer and the total number of boxes
in each diagram.
Calculate the differences between the terms.
Exponential equations and
graphs
Draw the graphs of these equations
on an x and y axis.
Y=2x
Y=3x + 2
Y=4x
Interpreting gradients
Calculate the gradient of the 3 linear graphs.
What do these gradients represent?