Objectives
Students will be able to:
· Apply mathematics to worldly events, through the exploration of World War I.
· Develop an understanding of algerbraic use.
· Draw and sketch linear and nonlinear equations, with and without technologies.
· Use Pythagoras theorem and trigonometry to solve problems; including distance and midpoints.
· Develop strategies to calculate perimeter, area, surface area, and volume.
· Analyse, present and communicate mathematical information.
· Apply mathematics to worldly events, through the exploration of World War I.
· Develop an understanding of algerbraic use.
· Draw and sketch linear and nonlinear equations, with and without technologies.
· Use Pythagoras theorem and trigonometry to solve problems; including distance and midpoints.
· Develop strategies to calculate perimeter, area, surface area, and volume.
· Analyse, present and communicate mathematical information.
Unit Plan
Week

Area of Study

Key Knowledge

Activities & Assesment
Tasks 
Key Skills

1

Graphing and data interpretation 
 Relate graphing to worldly situations, WWI.
 Trajectory of objects, projectile weapons.  Data analysis: Biological/ chemicla weapons 
 Video: weapons of WWI
 Graphing the projectile of the weapons used in WWI  Case study: Biological/chemical weapons 
 Graphing: able to graph linear and nonlinear equations with and without technologies.
 Investigate reports of surveys to produce graphical data. 
2

Distance between two points, midpoint and gradient of a line

 Pythagoras theorem to calculate distance between two points, use of trenches.
 Find midpoint and gradient of a line.  Estimate mean and medians. 
 Worksheet: Quest set in WWI, applied trigonometry and Pythagoras theorem

 Applied mathematical knowledge to solving problems involving trigonometry and Pythagoras theorem.
 Analyse graphs to estimate means and medians. 
3

Perimeter and Area

 Perimeter and area of WWI trenches through partitioning composites shapes.

 Excursion
 Measure the trenches out on the oval 
 Calculate perimeters and areas of composite shapes.
 Tessellated shapes. 
Excursion to Shrine of Remembrance (week 3)
4

Volume and Surface area

 Develop a formula for volume and surface area.
 Calculate the volume and surface area or WWI trenches. 
 Video: Trenches
 Hand out: Trench diagram 
Problem solving: Volume and surface area.

5

Assignment

 Using ratio factors to create a down sized replica of WWI trenches.
Supporting documents of workings out are to be submitted. 
 Create down sized replica of WWI trenches.
students present replica via:  clay model  computer simulation  drawing 
Problem solving: use ratio and scaling factors to produce a down sized replica.

6

Data representation

 Presentations of the down sized replica WWI trenches.

Presentation to the class of the down sized replica WWI trenches.

Mathematical communication: ability to deliver clear and concise mathematical strategies and information.

Essential Questions
What is the distance travelled by a soldier from point a to point b, using Pythagoras theorem?
Calculate the gradient of the mountain a solider had to climb.
Graph the projectile of the weapon used in WWI.
What was the perimeter, area, surface area, and volume of WWI trenches?
Calculate the gradient of the mountain a solider had to climb.
Graph the projectile of the weapon used in WWI.
What was the perimeter, area, surface area, and volume of WWI trenches?
Performance Indicators/Outcomes
Relate mathematics to worldly events, World War I (WWI) via to ability to:
 Sketch and draw linear and nonlinear equations, solve simple related equations, with and without the use of digital technology.
 Find the distance between two points, the midpoint, and gradient of a line portion using various techniques including the use of technologies.
 Calculate the perimeter and area of composite objects, specifically the trenches of World War I.
 Calculate the surface area and volume of World War I trenches.
 Design a down sized replica, using ratio and scaling factors.
 Sketch and draw linear and nonlinear equations, solve simple related equations, with and without the use of digital technology.
 Find the distance between two points, the midpoint, and gradient of a line portion using various techniques including the use of technologies.
 Calculate the perimeter and area of composite objects, specifically the trenches of World War I.
 Calculate the surface area and volume of World War I trenches.
 Design a down sized replica, using ratio and scaling factors.
Activities and Assessment Tasks
 Graphing the projectile of the weapon.
 Case study: biological/ chemical weapons graph the death rate of plants exposed to biological/ chemical agent.
 Measuring the trenches out on the oval – perimeter, ares, and surface area.
 Background Knowledge;
Perimeter and area  http://www.coolmath.com/reference/perimeters.html
Scale and ratio factors  http://www.mathsisfun.com/numbers/ratio.html
Pythagoras theorem  http://www.mathsisfun.com/pythagoras
Information on trench purpose, structure and images  http://worldwar1gallery.com/trenches/
World War I weaponry  http://firstworldwar.com/weapon/gas.htm
 Video: Trench structure http://www.youtube.com/watch?v=dS4NfbWEWpI
 Assignment: Students will create a down size replica of WWI trenches, incorporating area, perimeter, volume, surface area,
scale and ratio factors
 Case study: biological/ chemical weapons graph the death rate of plants exposed to biological/ chemical agent.
 Measuring the trenches out on the oval – perimeter, ares, and surface area.
 Background Knowledge;
Perimeter and area  http://www.coolmath.com/reference/perimeters.html
Scale and ratio factors  http://www.mathsisfun.com/numbers/ratio.html
Pythagoras theorem  http://www.mathsisfun.com/pythagoras
Information on trench purpose, structure and images  http://worldwar1gallery.com/trenches/
World War I weaponry  http://firstworldwar.com/weapon/gas.htm
 Video: Trench structure http://www.youtube.com/watch?v=dS4NfbWEWpI
 Assignment: Students will create a down size replica of WWI trenches, incorporating area, perimeter, volume, surface area,
scale and ratio factors
 Trench diagram for the measuring trenches activity:


 Cross section WWI trenches for the assignment:


Worksheets
Worksheet: WWI Quest

Worksheet: Trigonometry and Pythagoras Theorem

Worksheet: Area and Perimeter

Worksheet: Volume

Key skill(s) addressed
· Graph equations with and without the use of technologies.
· Find the distance between two points.
· Find the gradient and midpoint of two segments.
· Analyse different data types to estimate the mean and median.
· Apply Pythagoras's theorem and trigonometry to solve problems involving angles and lengths in rightangled triangles.
· Communicate mathematical information.
· Find the distance between two points.
· Find the gradient and midpoint of two segments.
· Analyse different data types to estimate the mean and median.
· Apply Pythagoras's theorem and trigonometry to solve problems involving angles and lengths in rightangled triangles.
· Communicate mathematical information.
Lesson Plans
Sample lesson are provided to download and manipulate as needed. The activities, worksheet, and resources mentioned within each lesson can be downloaded, ready to use, and are provided above.
Lesson 1: Distances between Two Points, studied in week 2 and covers:
 Pythagoras theorem to calculate distance between two points, use of trenches.  Find midpoint and gradient of a line.  Estimate mean and medians.

Lesson 2 and 3: Perimeter and Area, Studied in week 3 and covers:
 Perimeter and area of WWI trenches through partitioning composites shapes.

Lesson 4: Scale and Ratio factors:
Studied in week 5 and encorporates an assignment in addtion to:  Using ratio factors to create a down sized replica of WWI trenches.  Supporting documents of workings out are to be submitted by the students.
