Transcript Document

Learning Objective: To assess my understanding of
coordinates and graphs.
Key Words: Reflect, Communicate, Explain, Justify
RAG
21-Jul-15
Starter Activity
Complete the ‘Heard the Word Grid’ and compare it
to the one you completed at the start of this unit of
work.
Are there any key words that you have learnt or
have a better understanding of than you did before?
Level
Coordinates
and graphs
4
5
6
7
Use and interpret
coordinates in the
first quadrant
Use and interpret
coordinates in all four
quadrants.
Plot the graphs of linear
functions, where y is given
explicitly in terms of x;
Plot graphs of
simple quadratic
and cubic functions
Given the
coordinates of three
vertices of a
rectangle drawn in
the first quadrant,
find the fourth
Generate and plot
pairs of coordinates
for simple linear
functions e.g.
y=x+1
y = 2x
Recognise that equations of the
form y = mx + c correspond to
straight-line graphs
Construct tables of
values, including
negative values of x,
and plot the graphs
of these functions.
y = x²
y = 3x² + 4
y = 2x2 – x + 1
y = x³
Given the coordinates
of three points on a
straight line parallel
to the y axis, find the
equation of the line.
Plot the graphs of simple linear
functions using all four
quadrants by generating coordinate pairs or a table of
values. e.g.
y = 2x - 3
y = 5 - 4x
Understand the gradient and
intercept in y = mx + c, describe
similarities and differences of
given straight line graphs. e.g.
y = 2x + 4
y = 2x - 3
Key Words
Coordinate
X Axis
Y Axis
Linear
Gradient
Intercept
Quadrant
Never
heard
before?
Heard of
but not
sure what
it means?
Know what it means and can explain it in
context
Jot down your ideas here...
Level4
What are the coordinates of the
crosses marked:A (......,……)
B (......,……)
A
C (......,……)
x
Place 5 more crosses on the
coordinate grid and label them D to
H. Write down the coordinates of
each of these crosses :-
B
x
D (......,……)
E (......,……)
F (......,……)
C
x
G (......,……)
H (......,……)
Level 4
For each of the statement below say whether or not it is true or false
It doesn’t matter which axes you use first ……………………
The first number is the x value ……………………..
The first number is the y value …………………..
The x value has to be less than or equal to the y- value …………. ..
Which of these coordinates is closer to the origin (2,3 ) or (1, 4) ?
How do you know?
Level 5c
In the spaces provided, write down the coordinates of each of the 3
points.
Add a fourth point to make a quadrilateral ( a 4 sided shape.)
What are the coordinates of the fourth point?
y
7
6
5
4
3
2
1
–7 –6 –5 –4 –3 –2 –1 0
–1
–2
–3
(…., ……)
–4
–5
–6
–7
(…., ….)
(…., ….)
1 2 3 4 5 6 7x
Level 5b
What do these coordinate pairs have in common
(2, 3), (2, 0) and (2, –3)……………………………………………………………………………………………………….
Write down five other points that will have the same thing in common.
(……,…….) (……,…….) (……,…….) (……,…….) (……,…….)
Plot these points onto the axis below. What is the equation of the line ?……………………………
y
7
6
5
4
3
2
1
–7 –6 –5 –4 –3 –2 –1 0
–1
–2
–3
–4
–5
–6
–7
1 2 3 4 5 6 7x
Level 5a
On the graph below plot the lines
Y= x + 1
Y = 2x
Remember to label your lines.
y
y=x+1
7
6
5
4
3
2
1
–7 –6 –5 –4 –3 –2 –1 0
–1
–2
–3
–4
–5
–6
–7
x
y
y = 2x
1 2 3 4 5 6 7x
x
y
My own level 5 question ……………………………………………………………………
y
7
6
5
4
3
2
1
–7 –6 –5 –4 –3 –2 –1 0
–1
–2
–3
–4
–5
–6
–7
1 2 3 4 5 6 7x
Level 6c
Draw a graph of y = 2x + 5:
x
–3
–2
–1
0
1
2
3
y = 2x + 5
y
x
Level 6b
y = mx + c
What do graphs of functions in the form of y = mx + c have in common?
If you change the value of m what effect does this have on the graph?
If you change the value of c what effect does this have on the graph?
Level 6a
What is the equation?
What is the equation of the line
passing through the points:A and E ………………………………
A and F ………………………………
B and E…………………….…………
Look at this diagram:
y
10
A
5
Complete these sentences without
drawing the graphs
y = 2x + 4
y = 2x – 3
B
F
x
-5
0
E
5
10
These two graphs are the same because
………………………………………………………………
………………………………………………………………
These two graphs are different
because……………………………………………………
………………………………………………………….......
My own level 6 question………………………
y
x
Level 7c
Construct a table of values, including negative values of x, and plot the graphs of y = x²
Level 7b
Construct a table of values, including negative values of x, and plot the graphs of y = 3x² + 4
Level 7a
Construct a table of values, including negative values of x, and plot the graphs of y = x³
Convince me that there are no coordinates on the graph of y=2x²+ 6which lie below the x-axis.
Why does a quadratic graph have line symmetry?
Why doesn’t a cubic function have line symmetry?
My own level 7 question………………………………….
Using the learning journey provided, highlight the mathematical skills which you have learnt in this unit of work.
My teachers probing question
My answer
My teacher’s comment ‘What Went Well’ / ‘Can do now’
My teacher’s comment ‘Even Better If’’ / ‘Can’t do yet’
What I will do to act upon my ‘Even Better If’’ comment
Strategy
Complete a mymaths lesson or booster pack
Use a revision guide or text book
Ask my teacher to explain during a lesson
Ask a peer to explain during a lesson
Ask someone at home to help
Attend a revision session at school
Attend homework club
Something else (describe your strategy here)
Tick / Comments