Year 11‎ > ‎Numbers‎ > ‎

### Graphs

LEARNING OBJECTIVES  WORK  MATERIAL

REVISING YEAR 10 IDEAS

-SUBSTITUTION
-SOLVING A SIMPLE EQUATION

#### Linear Patterns

LINEAR PATTERNS:

-CONTINUE A LINEAR PATTERN
-WRITING A RULE USING WORDS
-WRITING A RULE USING ALGEBRA
-USING YOUR RULE TO PREDICT 100TH TERM

EX.12.02

-WRITING A RULE USING WORDS
-WRITING A RULE USING ALGEBRA
-FIND 100TH TERM OF PATTERN USING RULE

EX.12.03

EXPONENTIAL PATTERNS:

-WRITE A SEQUENCE FROM WORDED QUESTIONS
-PREDICT 100TH TERM
-WRITE A RULE USING ALGEBRA

EX.12.04

LINES:

-DRAW y=mx + c   BY COMPLETING A TABLE
-THE GRADIENT (SLOPE) OF A LINE
-DRAW y=mx + c   WITHOUT TABLE
-DRAW y=mx + c   BY USING X AND Y INTERCEPT
-SOLVE A PAIR OF SIMULTANEOUS EQUATIONS

EX.13.01

EX.13.02

EX.13.03

EX.13.04

EX.13.05

#### Intercept-Intercept Method

DISTANCE-TIMES GRAPHS

EX.13.06

OPTIMAL SOLUTIONS FOR PROBLEMS

-THAT INVOLVE CHANGING ONE QUANTITY

-FOR TWO VARIABLES-TWO WAY TABLES

EX.14.01

EX.14.02

PARABOLAS

·         SKETCHING PARABOLAS y=(x + a)+ b

·         SKETCHING PARABOLAS y=ax2

o    USE A GRAPHICS CALCULATOR

·         SKETCH THE GRAPH OF A PARABOLA y=(x+1)(x-2)

o    USE A GRAPHICS CALCULATOR

·         MATCHING PARABOLAS AND EQUATIONS

EX.15.01

EX.15.02

EX.15.03

EX.15.04

EX.15.05

EX.15.06

EXPONENTIAL GRAPHS

EX.15.07

Still to organise...

REVISION LESSON

ACTIVITY

RESOURCES

-Work out x-intercepts
-Work out vertex
-Find out the scale factor

Sketching a parabola

ALL BLACKS 2011
Richie McCaw worksheet

-Develop a table of values, with the help of diagrams.
-Develop your table of values for at least the first 5 situations.
-Check if you are dealing with a quadratic model by using the 2nd difference.
-Develop the rule with the help of the diagrams and table, and explain how you obtained it.

Pizza cuts

#### That's amore song!

Telephone line

-produce a table of values
-determine if the relationship is quadratic using finite differences
-establish the rule for the relationship

Christmas cards
Floor tiles
Dominoes on a chessboard
Handshake
Diagonals
Intersections
Sum of the first n terms
Jumping frogs
Revision calculator

-how to use your calculator effectively

Using your calculator effectively, without having to store numbers in your memory

Graphics calculator