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Year 12 General Mathematics

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Year 12 General Mathematics

 

 

Links:

 

http://www.purplemath.com/modules/index.htm

http://www.sosmath.com/index.html

http://www.mathsisfun.com/links/index.html

http://www.coolmath.com/ 

http://www.shodor.org/students/activities/

http://library.thinkquest.org/C0110248/index.htm

 

Further Area and Volume Unit 

DATE CONCEPT ASSIGNED WORK
Thurs 28th Feb Area of circles  
Fri 29th Feb

Area of ellipses

Simpson's Rule

 
Mon 1st Feb

Simpon's Rule

Surface Area of Cylinders

Ex 2C pg 45 #4, 5, 6, 7

Ex 2D pg 48 #1ae, 3ae, 4ab, 5abc 

Tues 2nd Feb Surface Area of Spheres

Ex 2E pg 50 #1ac, 2ac, 3ab, 4, 5

Wed 3rd Feb

Composite Volumes

Ex 2F pg 53 #2 (choose 7), 3ab

Thurs 4th Feb Accuracy of Measurements Ex 2G pg 56 #3a to h, 4abcd, 5abcd, 8abc
Fri 5th Feb

Review - Further Applications of Area and Volume 

HSC Questions
Tues 9th Feb Test - Further Applications of Area and Volume   

 

Algebra Skills and Techniques

 
DATE CONCEPT  ASSIGNED WORK
Thurs 11th Feb Introduction to Algebra Skills and Techniques

Assignment 1 Due

Ex 3A pg 68 #2, #10abcd

Ex 3B #5

Ex 3C #2, #3 

Fri 12th Feb  Division of harder algebraic expressions Ex 3C pg 74 #4 m to p, 6 a to h, 7 e to h
Mon 15th Feb Solving Equations

Ex  3D pg 76 #2 j to o, 3 d to i, 4 i to l, 5bd

Ex 3E pg 80 #2, 4, 6, 8, 10, 12 15

Tues 16th Feb Harder Equations  
Wed 17th Feb  Swimming Carnival  
Thurs 18th Feb  Changing the Subject of Formula Ex 3F pg 85 #6 a to o 
Fri 19th Feb Scientific Notation  Ex 3G pg 88, !abc, 2abc, 3abc, 4abc, 7abc, 10abc  
     

 

 

Summary Statistics 

DATE CONCEPT ASSIGNED WORK
Tues 23rd FEb Measures of Location (centre) Ex 4A pg 98 #1a, 2a, 3a, 4a, 5
Thurs 25th Feb  Choosing the appropriate measure of centre

Ex 4B pg   #2, 4, 6, 8, 10

Fri 26th Feb  Measures of Spread (range, interquartile range, standard deviation)   Ex 4C pg #2, 4, 5, 6 
Mon 1st Mar 

Graphs and Tables

- Radar Chart (sheet)

- Area Chart (sheet) 

Ex 4D pg 110 #1, 2, 4, 8, 9, 10, 11, 14, 16 
Tues 2nd Mar Comparing Two Sets of Data - 2010 HSC questions  Sheets
Wed 3rd Mar Comparing Two Sets of Data

Sheets

Ex 4E pg 120 # 1, 2, 3, 4, 5, 8, 10

Thur 4th Mar   Ex 4E pg 120 # 1, 2, 3, 4, 5, 8, 10

 

Annuities and Loans 

DATE CONCEPT ASSIGNED WORK
Fri 5th Mar Loan Repayments and Spreadsheets Nil
Tues 9th Mar 

Future Value of Annuities 

Future Value Notes and Examples

Ex 5A page 133

#2, 5, 7, 9, 11, 12, 14

Thurs 11th Mar Future Value Annuity Tables Ex 5C pg 144 #3aceg, 4aceg, 5ac, 6ac
Fri 12th Mar

Present Value of an Annuity - 

Present Value Notes and Examples

 
Mon 15th Mar  Present Value of an Annuity cont.  Ex 5B pg 138 1abc, 3abc, 5abc, 6, 7, 9
 
Tues 16th Mar Test: Algebra and Data  
Wed 17th Mar Present Value and Loans (see attached powerpoint) Ex 5B pg 141 #13abc, 15abc, 17, 19 
Thur 18th Mar Present Value and Homeloans spreadsheets  
Fri 19th Mar Mixed Questions - selecting the correct formula and then answering the questions

question sheet 1

question sheet 2

formula guide

 Tues 23rd Mar Assessment Task Practice (Spreadsheet applications)  
Thurs 25th Mar Assessment Task Practice (Spreadsheet applications)
 
Fri 26th Mar Review   
Mon 29th Mar HSC Assessment Task 2 (Spreadsheets and Loans + Algebra and Measurement)  
Tues 30th Mar Mixed Questions - selecting the correct formula and then answering the questions  
Wed 31st Mar Loan Costs, Types and Graphs (see Loans powerpoint)

flat rate loan spreadsheet

reducing balance spreadsheet

 

Summary Statistics 

DATE CONCEPT ASSIGNED WORK
   

 

Tues 20th April 

Review SOHCAHTOA, degrees, mins, secs, double triangles

Term 2, Assignment 1 due Tues 27th April

 

Trig Review Sheet 

Thurs 22nd April Bearings Powerpoint Bearings Sheets 
Fri 23rd April Bearings Cont.   
Tues 27th April Trig ratio and obtuse angles Investigation 1 pg 178 - 179
Wed 28th April Sine Rule

Ex 6D pg 182

#1ad, 2ad, 3ad, 4adgi

Thurs 29th April Cosine Rule

Ex 6E pg 187

#1ad, 2ad, 3a, 4a, 5ab,  

Fri 30th April Selecting the trig rule (SOHCAHTOA, sine rule or cosine rule)

formula mindmap or flow chart 

Tues 4th May Mixed Trig questions

Sheet 

Thur 6th May

Obtuse Angles and the Sine Rule obtuse angle sine rule.ppt

Sine Area rule 08_Area_of_a_triangle.ppt

 

Fri 7th May    
Mon 10th May Radial Surveys - Practical Task  
Tues 11th May Radial Surveys -Radial Surveying.ppt  
Wed 12th May

Multistage Probability - Definitions and Tree Diagrams

02_Tree_diagrams_and_tables.ppt  01_The_meaning_of_probability-1.ppt

Ex 7A pg 211

#1, 2, 3, 5, 8, 9, 10

Thur 13th May

Fundamental Counting Theorem

03_Counting_techniques.pps

Ex 7B pg 212 

#1 - # 12

Fri 14th May

Ordered Outcomes 

04_Ordered_arrangements.ppt

Ex 7C 1, 3, 5, 7, 9, 11

Ex 7D 1, 3, 5, 7, 

Tues 18th May

Unorderd Outcomes

05_Unordered_arrangements (easy option).pps  

Ex 7D #3, 5, 7, 9, 11, 13, 15
Thur 20th May

Mixed Arrangements

mixed arrangements.ppt

 
Fri 21st May

Mixed Arranagements cont.

Worksheets
Mon 24th May

HSC Assessment Task 3

 
Tues 25th May

Mixed Arrangements cont.

Green sheet 
Wed 26th May

Probability Tree Diagrams

07_Probability_tree_diagrams.ppt

Ex 7G

#1, 3, 5, 7, 9

Thurs 27th May HSC Probability Questions

Sheets

Fri 28th May Expectations

Ex 11A pg 333 

#2, 4, 7, 9, 11, 13

Tues 1st June

Financial Expectations

._08_Expectation.ppt

Ex 11C pg 337

1, 3, 8, 9, 11, 13, 15 

Thurs 3rd June

Probability Simulations

Probability simulations.ppt

 
Fri 4th June

False/Positive Tests (reading and interpreting test tables)

Probability - two way tables.ppt

Sheet Ex 6:10 
Mon 7th June 

Straight Line Depreciation

Straight line depreciation.ppt

Ex 9B # 1 to 8 
Tues 8th June

Declining Balance Depreciation 

Ex 9C # 1 to 7

 

Semester 2

 

DATE CONCEPT ASSIGNED WORK
Tues 20th July

 Trial

Depreciation Tables and Graphs

Depreciation Sheet 
Thurs 22nd July  Depreciation Tables and Graphs

Ex 9D pg 271

#3, 4, 5, 6, 7, 8, 9 

 Fri 23rd July

Depreciation and Tax Deductions 

Depreciation - calculating tax deductions.ppt

Ex 9E pg 275

# 1 to 6

Mon 26th July

Intro to Spherical Geometry

Lines of Longitude, Latitude and Great Circles

Latitude and longitude.ppt

W/S Ex 7:01

#1 - 8, 11 - 14, 16

Tues 27th July Creating your own world activity Assignment 1, due Fri 30th July
Wed 28th July

Great Circle Distances in km

Great circle distances.ppt

W/S Ex 7:02

#3, 5 - 12

Thurs 29th July

Great Circle Distances in nautical miles

Knots (speed)

 
Fri 30th July

Longitude and Time

Longitude and Time Differences.ppt

W/S Ex 7:04

#1 - 5, 7 - 10, 12 - 15, 17

Tues 3rd Aug 

Longitudes and Time Differences

International Time zones.ppt  

W/S Ex 7:05

Q1 - 4, 10, 13, 14, & 21

For Fun 16, 17, 19, 22

Thurs 5th Aug 

Spherical Geometry HSC questions 

HSC question sheet 

Fri 6th Aug

Review of Spherical Geometry 

Match and Paste activity

Review questions 

Mon 9th Aug

Normal Distribution 

The Normal Distribution.ppt

Ex 8D pg 248

# 1 - 3

Ex 8E

#1, 3, 5, 6 - 10, 11ab, 12 

Tues 10th Aug

Z scores 

Z scores.ppt

Sheet

#1, 3 - 5, 10

Wed 11th Aug

Comparing Z score

Comparing Normal Distribution.ppt

Ex 8A pg 239

#6, 7, 9, 10

Thurs 12th Aug

Normal Distribution Working lessons 

sheets 

Fri 13th Aug

Skewed Data and shape of distributions 

Shape of displays.ppt

Ex 8C pg 245

#1 - 4 

Tues 17th Aug

Intro to Linear Functions

Linear Functions.ppt  

Exercise 12A pg 361

2efgh, 3, 5, 9, 10

Thurs 18th Aug

Intersection Graphs (break even points)

Intersecting Lines.ppt

Ex 12B

2, 4, 6 

Fri 19th Aug

The Quadratic Function

Quadratic Functions.ppt

Ex 12C pg 367

1, 6, 8ab, 9, 11, 12

Mon 23rd

Max and Min problems 

Max and Min.ppt

Max and Min.docx  

Tues 24th

More max and min problems 

Sheet 

Wed 25th Aug

Athletics Carnival 

 

Thurs 26th Aug

the Cubic Function 

Cubic Functions.ppt

Worksheet

Cubic Functions.docx  

Fri 27th Aug

cubics cont.

 

Tues 31st Aug

the Exponential Function 

Exponential Functions.ppt

Exponential Growth and Decay.ppt

Exponential Functions.docx  

Thurs 2nd Sept

Hyperbolic Function 

Hyperbolic Functions.docx

Hyperbolic functions.ppt

 

Fri 3rd Sept

Mixed functions 

 

Mon 6th Sept

Direct Variation'

Iinverse Variation

Inverse Variation.ppt 

Direct Variation.ppt  

 

 

 

 

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