# iSTEM Core Module 2 STEM Fundamentals 2 – Fundamental Mechanics

• basic units
• prefixes
• conventions
• statics
• dynamics
• modelling

## Students Learn To

• apply units to concepts of mechanics
• understand conventions used in mathematical solutions
• utilise metric prefixes related to every day technologies
• complete basic calculations related to statistics
• describe the difference between a static and a dynamic
• simulate mathematical problems using appropriate modelling techniques

## STEM Learning Activities

### Suggested Practical Activity 1: Adam Spencer High Scores Adam Spencer presents ‘High Scores’. This is a mathematical problem-solving game developed by Adam and Sean Gardner from the UNSW some years ago for one of his many books. ‘High Scores’ is a great way for students to learn about arithmetic and the mathematical concept of order of operations. In the game students need to place given numbers as well as mathematical operations (+, – , x, ÷ ) in the correct order to satisfy an equation. Later you will be given a set of numbers you need to satisfy the equation, but this time you need to do so in such a way to record the ‘High Score’.

Click the resource button below for Adam Spencer’s High Scores resource page ### Suggested Practical Activity 2: Adam Spencer 31 Fun Adam Spencer presents the mathematical game ’31 Fun’. The way you play ‘31 Fun’ is to start with the score of 1. Then taking it in turns hold up you hand with any number of fingers from 1 to 5. Initially add the score to 1 and then subsequent number of fingers are added to the previous score. The winner is the person who lands on the score of 31. See if you can work out the winning strategy for ’31 Fun’. After having fun playing the game, Adam explains how to develop the winning strategy.

Click the resource button below for Adam Spencer’s 31 Fun resource page ### Suggested Practical Activity 3: Adam Spencer Sprouts Adam Spencer introduces students to a game that was invented by the mathematician John Horton-Conway in 1967 known as ‘Sprouts’. Students are encouraged to play 2 point ‘Sprouts’ many times to learn the strategies and patterns and underlying mathematics behind the game. Adam then explains some of the mathematical magic behind sprouts.

Click the resource button below for Adam Spencer’s 31 Fun resource page ### Suggested Practical Activity 4: Adam Spencer Gridlocks Adam Spencer presents ‘Gridlocks’. This is a mathematical problem-solving game developed by Adam and Sean Gardner from the UNSW some years ago for one of his many books. ‘Gridlocks’ is a great way for students to learn about the mathematical concept of order of operations and mathematical problem solving.

Click the resource button below for Adam Spencer’s Gridlocks resource page  How to Measure the Height of a Tree Task 536 KB
Sample STEM mechanics task, how to measure the height of a tree How to Measure the Height of a Tree Resource Sheet 17 KB
Instructions on different methods students can use to measure the height of a tree. Using Trigonometry to Calculate the Height of a Tree Resource 128 KB
Instructions on how to use Trigonometry to calculate the height of a tree. Simulating the Coupon Collector's STEM Problem 13 KB
There are 6 collector cards & mini-figures in the Avengers series which are being randomly distributed into Cornflakes boxes. How many boxes would you need to buy to be confident that you have the entire set? Simulating the Coupon Collector's STEM Problem Spreadsheet 16 KB
Spreadsheet to support the coupon collector's STEM problem Melbourne Cup Maths Investigation 32 KB
Mathematical investigations into the Melbourne Cup race Stem Estimation Activity 13 KB
Sample STEM estimation activity looking at processes to determine result STEM Measurement Research Task - Prefixes 41 KB
STEM measurement research task sheet on standard prefixes Fractions and Decimals Investigation Task 16 KB
Some fractions have terminating decimals, some fractions do not. Is there a way to look at a fraction and tell if the decimal equivalent will be terminating or repeating? Probability Problems 15 KB
A set of probability problems based on playing a game.