Mathematical Patterns and Relations
Task 1: Big Foot
Part 1
After viewing some background information on the yowie (a short video and newspaper article), we were given the foot length of the yowie (43cm) and asked to find its height from this measurement. We were asked to collect a series of measurements of our body proportions. After some discussion about not getting precise enough approximation for some body proportions, specifically the a/b/c finger, we decided to only include foot length, height and arm span as we thought that this was the essence of the our initial question. Based on our initial foot measurements we agreed that for our estimation of the yowie’s height we would double Tamara’s height as her foot measurement doubled was the closet to the yowie’s (157x2=314) making our height estimate to be 314cm. Our body proportion can be seen in table 1. Name and Scale Factor * | Yowie’s height estimate (nearest cm) | Kate’s Scale Factor (6.75x43) | 290 | Maybelline’s Scale Factor (6.65x43) | 286 | Ashleigh’s Scale Factor (6.70x43) | 288 | Tamara’s Scale Factor (7.48x43) | 322 | Mean Scale Factor(6.895x43) | 296 |
Table 1 - Body Measurements Used Table 2 - Scale Factor Height Estimate Name | Foot Length (cm) | Height^(cm) | Arm Span(cm) | Kate (Me) | 24 | 162 | 167 | Maybelline | 23 | 153 | 156 | Ashleigh | 24 | 161 | 154 | Tamara | 21 | 157 | 150 | Yowie | 43 | 296 | |
^Note. Yowie Height is the mean scale factor estimate
*Note. All calculations made with a calculator
We calculated our scale factors (SF) by dividing our height from our foot length (e.g., Maybelline’s SF 153/23 = 6.65 2dp)* which gave us a SF of 6.75 for me, 6.70 for Ashleigh and 7.48 for Tamara. Table 2 shows the yowie’s height based on our SFs. Next we decided to find the mean of our SFs and to work out the yowie’s height (6.75+6.65+6.70+7.48/4=6.895)*, which is also indicated in Table 2. We came to the
Part 1
After viewing some background information on the yowie (a short video and newspaper article), we were given the foot length of the yowie (43cm) and asked to find its height from this measurement. We were asked to collect a series of measurements of our body proportions. After some discussion about not getting precise enough approximation for some body proportions, specifically the a/b/c finger, we decided to only include foot length, height and arm span as we thought that this was the essence of the our initial question. Based on our initial foot measurements we agreed that for our estimation of the yowie’s height we would double Tamara’s height as her foot measurement doubled was the closet to the yowie’s (157x2=314) making our height estimate to be 314cm. Our body proportion can be seen in table 1. Name and Scale Factor * | Yowie’s height estimate (nearest cm) | Kate’s Scale Factor (6.75x43) | 290 | Maybelline’s Scale Factor (6.65x43) | 286 | Ashleigh’s Scale Factor (6.70x43) | 288 | Tamara’s Scale Factor (7.48x43) | 322 | Mean Scale Factor(6.895x43) | 296 |
Table 1 - Body Measurements Used Table 2 - Scale Factor Height Estimate Name | Foot Length (cm) | Height^(cm) | Arm Span(cm) | Kate (Me) | 24 | 162 | 167 | Maybelline | 23 | 153 | 156 | Ashleigh | 24 | 161 | 154 | Tamara | 21 | 157 | 150 | Yowie | 43 | 296 | |
^Note. Yowie Height is the mean scale factor estimate
*Note. All calculations made with a calculator
We calculated our scale factors (SF) by dividing our height from our foot length (e.g., Maybelline’s SF 153/23 = 6.65 2dp)* which gave us a SF of 6.75 for me, 6.70 for Ashleigh and 7.48 for Tamara. Table 2 shows the yowie’s height based on our SFs. Next we decided to find the mean of our SFs and to work out the yowie’s height (6.75+6.65+6.70+7.48/4=6.895)*, which is also indicated in Table 2. We came to the
References: Defuse. (2013). Online Big Number Calculator. Retrieved from https://defuse.ca/big-number-calculator.htm McCann, W