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Stage 6 General Mathematics curriculum resources

Click here for Stage 6 Mathematics curriculum resources.

HSC support

Resource

Description

Syllabus outcome

 

Preparing for the HSC General Mathematics Exam

Preparing for the HSC General Mathematics exam

This PowerPoint resource is for teachers to use with students or for individual students to use to assist in preparation for the HSC General Mathematics examination. The content covers accessing the syllabus, understanding the performance bands, exam instructions and equipment, the HSC marking process, examiner's comments, resources and how to study. Acknowledgement to Cath Whalan for contributing this resource.   

Software used
PowerPoint

Download
 HSC general (pdf -  3.2 MB)
 HSC general (ppt - 5 MB)

HSC outcomes

Financial Mathematics

Resource

Description

Syllabus outcome

 

Click here to view lesson

Budgeting

Given a set budget to work within, students design or recreate the floor plan for a house including all measurements, using Word or Google SketchUp. Using the measurements on the plan, students calculate the area of the house and make appropriate costings. Students then create a spreadsheet in Excel demonstrating they can afford the house they have designed or adjusting the design until it meets the budget constraints. 

Software used
Word, Google SketchUp, Excel

Download
Budgeting  (pdf - 350 KB)
Budgeting (doc - 2.7 MB)

 

FM1 (P8)
M2 (P6)

Measurement

Resource

Description

Syllabus outcome

View prisms resource

Prisms

Students use Google SketchUp to create and model prisms and investigate faces, vertices and edges to determine 3D shape properties.

Software
Google SketchUp

Download
Prisms (pdf - 167 KB)
Prisms (doc - 1.7 MB)

 

 

M2 (P6), M5 (H6)

View volume 1 resource

Volume 1

Students use these learning objects as a revision exercise at the beginning of the topic on volume.  Students use Google SketchUp to model, measure and perform volume calculations on 3D shapes.

Software used
Learning objects, Google SketchUp

Download
Volume 1 (pdf - 172 KB)
Volume 1 (doc - 1.2 MB)
Prism 343 (swf - 1.8 MB)

 

 

M2 (P6)

View perimeter and area resource

Perimeter and area

Students compare the size of their school to other schools around them using Google Earth, to practice calculations involving perimeter and area of complex figures.

Software
Google Earth, Photoshop elements

Download
Perimeter and area (pdf - 266 KB)
Perimeter and area (docx - 3.2 MB)

 

M2 (P6)

View pre-surface area resource

Pre-surface area

This lesson involves students predicting surfaces that may appear hidden and revisiting surface area calculation methods for simple and complex solids.

Software used
Learning objects

Download        
Pre-surface area (pdf - 81 MB)
Pre-surface area (doc - 1.1 MB)
Prism 343 (swf - 1.8 MB)
The tiler (pdf - 81 KB)

 

M2 (P6)

View trigonometry 1 resource

 

Trigonometry 1

In this activity students use practical measurement skills and ratio calculations to find a pattern linking the ratio of sides of a triangle with the angles. This lesson is designed to develop the concepts of sine, cosine and tangent ratios of angles.

Software used
Excel, GeoGebra, Internet Explorer

Download       
Trigonometry 1 (pdf - 134 KB)
Trigonometry 1 (doc - 1 MB)
Triangles to measure (ggb - 4KB)
Gradient vs angles (ggb - 3KB)
Measuring trigonometric ratios (xls - 53KB)

 

 

M4 (P6)

View surface area of composite solids 1 resource

Surface area of composite solids 1

Students use Google SketchUp to model 3D shapes and begin to calculate the surface area of composite solids by rotating them and using the dimensions tool.

Software used
Google SketchUp

Download       
Surface area of composite solids 1 (pdf - 217 KB)
Surface area of composite solids 1 (doc - 1.6 MB)
Surface area of composite solids 1 (skp - 240 KB)

 

M5 (H6)

 

               Click here to view lesson

Surface area of composite solids 2

Creating composite solids in Google SketchUp and calculating the surface area.

Software used
Google SketchUp

Download       
Surface area of composite solids 2 (pdf - 326 KB)
Surface area of composite solids 2 (doc - 1.9 MB)
Shape 1 (skp - 17 KB)
Shape 2 (skp - 18 KB)
Shape 3 (skp - 13 KB)

 

M5 (H6)

 

        Click here to view lesson

Budgeting

Given a set budget to work within, students design or recreate the floor plan for a house including all measurements, using Word or Google SketchUp. Using the measurements on the plan, students calculate the area of the house and make appropriate costings. Students then create a spreadsheet in Excel demonstrating they can afford the house they have designed or adjusting the design until it meets the budget constraints. 

Software used
Word, Google SketchUp, Excel

Download
Budgeting  (pdf - 350 KB)
Budgeting (doc - 2.7 MB)

 

M2 (P6)
FM1 (P8)

 Probability

Resource

Description

Syllabus outcome



Click here to view probability lesson

Probability spinners

In this lesson students use the Spinners series of learning objects to create, test and use spinners to perform probability experiments. The experimental results are then compared to the theoretical probability of each situation.

Software used
Internet explorer, learning objects

Download
Probability spinners (pdf - 306 KB)
Probability spinners (doc - 2 MB)

 

PB1 (P10, P11)
PB2 (P10, P11)

 

Click here to view probability lesson

Probability diagrams

Use Freemind or Word to create tree diagrams listing all possible outcomes of a simple event.

Software used 
Freemind, Word

Download
Probability diagrams (pdf - 236 KB)
Probability diagrams (doc - 1.8 MB)

 

 PB3 (H4)

Algebraic Modelling

Resource

Description

Syllabus outcome

 

        Click here to view lesson

Pattern | table | rule | graph

Students work through the process of, and make connections between, creating a geometric pattern; writing a table of values; plotting points on a graph; and forming a rule using the Bridge builder learning object, a SMART notebook file and plotting points in GeoGebra.

Software used
Learning objects, SMART Notebook, GeoGebra

Download
Patterns (pdf - 191 KB)
Patterns (docx - 1.7 MB)
Patterns (notebook - 1.6 MB)

 

AM2 (P3, P4)

View gradients 1 resource

Gradients 1

This lesson is the first in a series of lessons which use GeoGebra to explore the concept of gradient. Students discuss reasons why people would need to measure or use gradients and the impact gradients have in specific situations.

Software used
Internet explorer

Download        
Gradients 1 (pdf - 57 KB)
Gradients 1 (doc - 585 KB)

 

 

AM2 (P3)

View gradients 2 resource

 

 

Gradients 2

This lesson is the second in a series of lessons which use GeoGebra or SMART Notebook to explore the concept of gradient and calculate the gradient. 

Software used
GeoGebra, SMART Notebook, OneNote

Download        
Gradients 2 (pdf - 179 KB)
Gradients 2 (docx- 727 KB)
GeoGebra gradients (ggb - 2 KB)
Setting up gradients (swf - 828 KB)                                               

 

 

AM2 (P4)

View gradients 3 resource

Gradients 3

This lesson is the third in a series of lessons which use GeoGebra to explore the concept of gradient.

Software used
GeoGebra, OneNote

Download        
Gradients 3 (pdf - 86 KB)
Gradients 3 (doc - 2.4 MB)
GeoGebra gradients (ggb - 2 KB)          

 

 

AM2 (P3, P4)

 

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