Nayland College Mathematics; More than just a school

1.2 Graphs

1.2 Home | Gradient | Line Graphs | Parabola | Parabola Shift | Parabola Stretch | Factorised Parabola | Parabola Applications | Parabola Questions | 1.2 Revision

STARTERS

1	Overview 1) Linear functions and straight line graphs. 2) Quadratic functions and parabola graphs.	Achievement Standard Overview \| Class notes, Blank notes	Assessment Criteria \| Overview
2	Plotting Lines & Gradient Using a function to plot a line graph. The gradient of lines. Finding the gradient given a pair of coordinates. Basic Gradient \| Gradient rise/run \| Plotting Line Graphs y = mx + c \| Line generator	Class notes, Blank notes Ex8.01 pg99 \| Ex8.02 pg100	Gradient page p26, 27 GeoGebra Java Gradient
3	Sketching Linear graphs Gradient \ Intercept method. Sketching linear graphs in the form y = mx + c Horizontal lines eg. y = 4 Vertical lines eg. x = 2 Graphs y = mx + c	Sketching linear graphs: Class notes, Blank notes Sketching practice: Class notes, Blank notes Ex 8.03 pg104	Line graphs p28 GeoGebra Java Line Graphs
4	Intercept-Intercept Method Sketching linear graphs using the 'intercept/intercept' method.	Class notes, Blank notes Ex 8.04 pg106	p29, 30
5	Applications of Line Graphs Solving problems using linear functions and line graphs.	Class notes, Blank notes Ex 8.05 pg108	p31, 32
6	Review of algebra Practice of expanding, factorising, rearranging quadratics in preparation for graphing parabolas.	Class notes, Blank notes	p25
7	Basic Parabola graphs Plotting parabola graphs. Vertical translation Horizontal Translation Combined Translations	Basic Parabolas Class notes, Blank notes Vertical Translation Class notes, Blank notes	Parabola Graphs p33 Basic Parabola Translations
8	Practice of sketching Parabolas 1) Sketching translated parabolas 2) Writing the equations of translated parabolas.	Ex 9.01 pg116	Parabola Shift p34 GeoGebra Java Parabola Translation A
9	Vertical Stretch of parabolas Sketching vertically stretched parabolas. Inverted parabolas. Translated and stretched graphs.	Class notes, Blank notes Ex 9.02 pg119	Parabola Stretch Stretched Parabola GeoGebra Java Parabola with stretch
10	Writing equations Writing the equations of stretched graphs.	Class notes, Blank notes	Brock University graphs page p35
11	Factorised parabolas Sketching parabolas in factorised form. Writing equations in factorised form	Class notes, Blank notes Ex 9.04 pg122	Factorised Parabola p36 GeoGebra Java Factorised Parabola
12	Practice of factorised form Sketching, factorising & sketching. Finding the equation in factorised form.	continue Ex 9.04 pg122 \| Ex 9.06 pg124	p37 Parabola Factorised
13	Application Problems Finding the equation given part of a graph. Using the equation to solve problems.	Class notes, Blank notes Ex 21.05 pg303	Parabola Applications p38
14	More Applications Excellence exam questions	Excellence Problems \| Blank Notes Ex 21.05 pg303 (cont)	Parabola Questions p39
15	Revision Practice Assessment pg130	Extension: Sketching Inequalities: Class notes \| Blank Notes Sketching Cubic Graphs: Class notes \| Blank Notes	Revision p40, 41 Parabola Actual

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