Who could have done it?!?!?! Time of Death established with Newtons Law of Cooling – hopefully between classes Teacher must have walked to and from class in the transition time (2 minutes)
Suspect Radius Achievement Standards 2.2, 2.14, 3.1 Curriculum levels 5-8 Learning Outcomes: Graphing the equation of a circle or ellipse and finding the equation Determine whether a point lies in the interior or exterior of a circle/ellipse based on the equation
Suspect Radius Students will need to Decide on a suitable stride and speed at which a teacher would walk Using a map they can mark out possible suspects and rule out teachers who are not in the radius
Suspect Radius Guide the students Even though it is 2 minutes between classes, the circle radius would have to be halved The maximum distance can be found using the distance equation
Suspect Radius Extension Use buildings with multiple levels Add in extra information – “Mr Pedersen was seen arguing with Ms Yang in the morning”
Time to identify the suspect! You will need a shoe print…preferably not a high heel Discussion for students - what use is this shoe print to us?
Suspect Height Achievement Standards 1.4, 1.6, 1.11 Curriculum levels 4-6 Learning Outcomes: Substitution with variables Measuring and managing sources of variation Using an explanatory variable to predict a response variable
Suspect Height Useful tools – iNZight or censusatschools database Provide an equation if you’re lazy Good opportunity to do hands on practical measuring!
These bones can be used to identify the height of a person Femur (thigh) Humerus (arm) Tibia (shin) Radius (forearm)
Bone Lengths and Height Achievement Standards 1.2 & 1.4 Curriculum levels 4 - 6 Learning Outcomes: Substitution with variables Rearranging and using formulae Linear graphing
Bone Lengths and Height Male measurements Height = 69.089 + 2.238 F Height = 81.688 + 2.392 T Height = 73.570 + 2.970 H Height = 80.405 + 3.650 R
Bone Lengths and Height Female measurements Height = 61.412 + 2.317 F Height = 72.572 + 2.533 T Height = 64.977 + 3.144 H Height = 73.502 + 3.876 R
Bone Lengths and Height How tall is a male if his femur is 46.2cm long? If a female is 152cm tall, how long is her humerus? In order to ride a rollercoaster, your tibia should be at least 30cm’s. How tall does a male need to be?
Bone Lengths and Height Graph the equation for a male and female radius on the same grid. What length radius will produce a male and female of the same height? What does the x and y intercepts mean in this context?