**11AOF - AS91033 - MATHS**

**AS91033 Apply knowledge of geometric representations in solving problems**

**ACHIEVEMENT STANDARD**: nzqa.govt.nz/ncea/As91033

**NZ CURRICULUM AREA**: Maths

**CREDITS**: 3 numeracy credits

**ASSESSMENT TITLE**: Robot & Animal Pavilion Maths

**ASSESSMENT BRIEF**: Design a robot to solve a problem for your Animal Pavilion project & "do the Maths" about it

**DESCRIPTION**: Complete sheets #1 to #4

The objectives of this achievement standard are to: Construct & describe simple loci. Interpret points & lines on co-ordinate planes including scales & bearings on maps. Create accurate nets for simple polyhedra & connect 3 dimensional solids with different 2 dimensional representations. Use a co-ordinate plane or map to show points in common & areas contained by 2 or more loci.

**DEFINITIONS OF ASSESSMENT**

**AS91033: Use Maths to apply your knowledge of geometric representations in solving problems.**

**MATHS**: X,Y,Z grid co-ordinates, scale & distance between plot points, N/E/S/W compass directions, 2D net.

**YOUR KNOWLEDGE**: What you learn from the Robot Animal Pavilion Maths assessment learning.

**GEOMETRIC REPRESENTATIONS**: What does your robot & architecture look like?

**TASK #1**- Design & draw a robot for your architecture project ~ ROBOT #1 sheet.

**TASK #2**- Draw a plan of your architecture to scale ~ PLAN #2 sheet & locate 6 plot points (for Excellence).

**TASK #3**- Write a description of what your robot does at each plot point ~ CO-ORDINATES #3 sheet.

**TASK #4**- Draw a 2D net of a part of your robot ~ 2D NET #4 page.

**SOLVING PROBLEMS**: Design a robot to solve a problem for your Animal Pavilion project.

Your robot could be a: builder, cleaner, helper, advisor, security, entertainment, medical, education, other.

What problem will you robot solve? eg: demolish, dig, build, lift, paint, fix, clean, observe, anything... etc

Write a description of what your robot does at each plot point ~ CO-ORDINATES #3 page.

Your robot should to do 6 plot point 'unique' tasks to solve problems for your architecture project.

6 plot points = Excellence grade

4 plot points = Merit grade

2 plot points = Achieved grade

**KEY WORDS**:

Loci - link to definition

X,Y,Z axis

**ANIMAL PAVILION MATHS EXAMPLE**

These images are of the AOF SnakeTower example project. More information about this project at architectureschool.co.nz/snaketower.

For this Maths assessment the following images & info describe how to draw & calculate some of the co-ordinates of SnakeTower.

For this example a robot called SnakeTowerRobot (STR) will start to build the base of SnakeTower.

For this Maths assessment the following images & info describe how to draw & calculate some of the co-ordinates of SnakeTower.

For this example a robot called SnakeTowerRobot (STR) will start to build the base of SnakeTower.

The red dots are plot points (Loci) of the base of SnakeTower.

Draw your own plot plot points on or around your architecture, these are the points your robot will move around your architecture.

These drawings shows plot points (Loci) at the base of SnakeTower. Label each plot point on a grid. Include North direction & scale.

X direction is horizontal, Y direction is vertical. Z is either up (positive number) or down (negative number) based on a Datum point.

The Datum point for SnakeTower is point #1 - zero (Z). Always write the co-ordinates in brackets, X first, then Y, then Z (X,Y,Z).

The SnakeTowerRobot (STR) will build the tower based on the 'unique' description of what STR does at each plot point (Sheet #3).

For this assessment: do 6 plot points for Achieved, 9 plot points for Merit or 12 plot points for Excellence.

X direction is horizontal, Y direction is vertical. Z is either up (positive number) or down (negative number) based on a Datum point.

The Datum point for SnakeTower is point #1 - zero (Z). Always write the co-ordinates in brackets, X first, then Y, then Z (X,Y,Z).

The SnakeTowerRobot (STR) will build the tower based on the 'unique' description of what STR does at each plot point (Sheet #3).

**EXAMPLE**: STR starts at point #1 (14,3,0) and hammers a peg into the ground to set the Datum point (0). From point #1 STR moves West 5.5m metres to point #2 (8.5,2,0) and digs a hole in preparation for the SnakeTower concrete foundations. Then STR moves NorthWest 4 metres to point #3 (4,3.5,2) and puts the foundation reinforcing bars into a hole. Then STR moves North 4 metres to point #4 (2.5,7.5,3) and pours concrete into the foundation hole that already has reinforcing in it.For this assessment: do 6 plot points for Achieved, 9 plot points for Merit or 12 plot points for Excellence.

**MATHS ASSESSMENT SHEETS**

Print copies of these pages #1-4 & use them to complete the Maths assessment for your Animal Pavilion project

**MATHS ASSESSMENT CHECKLIST **

Before you submit your Maths assessment - use this checklist to "self-check" that you have completed everything