Year 11‎ > ‎Numbers‎ > ‎

Graphs





 

 LEARNING OBJECTIVES  WORK  MATERIAL
 
REVISING YEAR 10 IDEAS

-READING AND WRITING EXPRESSIONS
-SUBSTITUTION
-SOLVING A SIMPLE EQUATION
 
 LINEAR PATTERNS
QUADRATIC PATTERNS
WHY QUADRATICS?(MARIO BROS)
 
 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

 
  
QUADRATIC PATTERNS:

-CONTINUE A QUADRATIC PATTERN
-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
-ESTIMATE ANSWERS FROM EXPONENTIAL GRAPH
-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





 

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

 





 

REVISION LESSON

 ACTIVITY

 RESOURCES

 Revision of quadratics

-Substitute into a quadratic
-Factorise a quadratic
-Solve a quadratic
-Work out x-intercepts
-Work out vertex
-Find out the scale factor



 Sketching a parabola

 
ALL BLACKS 2011 
Richie McCaw worksheet
 Revision of quadratics

-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.
-Graph the quadratic function,
 



Modelling a quadratic function




 Pizza cuts 
Telephone line
 Revision of quadratics

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

    Modelling a quadratic function
 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