RAG Starter Activity Complete the ‘Heard the Word Grid.’ LO To assess your understanding of coordinates and graphs. RAG Key Words: Reflect, Communicate, Explain, Justify 10-Nov-18 Starter Activity Complete the ‘Heard the Word Grid.’ Are there any key words that you have learnt or have a better understanding of now than you did at the start of this unit of work? 1

Coordinates and graphs Level 4 5 6 7 Coordinates and graphs I can use and interpret coordinates in the first quadrant If I am given the coordinates of three vertices (corners) of a rectangle drawn in the first quadrant, I can find the fourth. I can use and interpret coordinates in all four quadrants. I can generate and plot pairs of coordinates for simple linear functions e.g. y = x + 1 y = 2x Given the coordinates of three points on a straight line parallel to the y axis, I can find the equation of the line. I can plot the graphs of linear functions, where y is given explicitly in terms of x; I recognise that equations of the form y = mx + c correspond to straight-line graphs I can plot the graphs of simple linear functions using all four quadrants by generating co-ordinate pairs or a table of values. e.g. y = 2x - 3 y = 5 - 4x I understand the gradient and intercept in y = mx + c. I can describe similarities and differences of given straight line graphs. e.g. y = 2x + 4 I can plot graphs of simple quadratic and cubic functions. I can 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

Coordinate X Axis Y Axis Linear Gradient Intercept Quadrant Key Words 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... Coordinate X Axis Y Axis Linear Gradient Intercept Quadrant

x x x Level4 A B C What are the coordinates of the crosses marked:- A Place 5 more crosses on the coordinate grid and label them D to H. Write down the coordinates of each of these crosses :- D (......,……) E (......,……) F (......,……) G (......,……) H (......,……) A x B x x C

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? 1 2 3 4 5 6 7 –1 –2 –3 –4 –5 –6 –7 x y ( , ) ( , ) ( , )

What do these coordinate pairs have in common 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 ? 1 2 3 4 5 6 7 –1 –2 –3 –4 –5 –6 –7 x y

On the graph below plot the lines Y= x + 1 Y = 2x Level 5a On the graph below plot the lines Y= x + 1 Y = 2x Remember to label your lines. 1 2 3 4 5 6 7 –1 –2 –3 –4 –5 –6 –7 x y y = x + 1 x y y = 2x x y

Level 6c Draw a graph of y = 2x + 5: x y = 2x + 5 –3 –2 –1 1 2 3 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 A B E F 5 10 -5 Complete these sentences without drawing the graphs y = 2x + 4 y = 2x – 3 These two graphs are the same because ……………………………………………………………………………………………………………………………… These two graphs are different because………………………………………………………………………………………………………………....... 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 question and answer 1 2 3 4 5 6 7 –1 –2 –3 –4 –5 –6 –7 x y x

My own question and answer x

Coordinates and graphs Level 4 5 6 7 Coordinates and graphs I can use and interpret coordinates in the first quadrant If I am given the coordinates of three vertices (corners) of a rectangle drawn in the first quadrant, I can find the fourth. I can use and interpret coordinates in all four quadrants. I can generate and plot pairs of coordinates for simple linear functions e.g. y = x + 1 y = 2x Given the coordinates of three points on a straight line parallel to the y axis, I can find the equation of the line. I can plot the graphs of linear functions, where y is given explicitly in terms of x; I recognise that equations of the form y = mx + c correspond to straight-line graphs I can plot the graphs of simple linear functions using all four quadrants by generating co-ordinate pairs or a table of values. e.g. y = 2x - 3 y = 5 - 4x I understand the gradient and intercept in y = mx + c. I can describe similarities and differences of given straight line graphs. e.g. y = 2x + 4 I can plot graphs of simple quadratic and cubic functions. I can 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 Dialogue marking sheet. Use the learning journey above to highlight the mathematical skills that you have now which you didn’t have at the start of the unit of work. How much progress have you made? What can you do to improve your skills as a learner in order to make even better progress?

My teachers probing question My answer   What I will do to act upon my ‘Even Better If’’ comment Strategy Tick / Comments 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) Dialogue marking sheet.