Math 10

Parallel City Project 

For this project Lucy and I partnered up to create a city design following the written criteria. We planned out our city and created a rough draft using our knowledge of parallel line and angle properties. Once we checked to make sure our angles were correct and matched the written instructions we began our drawings. Each of us took a half of the city to draw our buildings. We had to communicate our drawing design and colour choices to each other as to create a uniform, well drawn city.  We finished our city and named all of the streets after famous mathematicians and scientists. This project help to develop my ability to follow written instructions as well as work in unison with a partner because of the way we chose to get things done. We worked hard on the city and our used our class time effectively to create a well made city.

 

3D Nets Project

For this project I partnered with YingYing to create a net of a three-dimensional object, use a method to find it’s surface area and volume as well as describe and reflect on our method. We discussed the shape we wanted to study and choose a hexagonal prism, as finding the area of an irregular hexagon would require critical thinking, and planned out our method. First we decided to break the hexagonal face into many right triangles we didn’t realize this mean tour hexagon would not have six equal sides. We choose dimensions for our triangles (the simplest Pythagorean triple: 3,4,5) and found the are of a triangle would be

Area of Hexagon = (Area of Right Triangle)(Number of right triangles in hexagon)

This (in our case) became A=6*12. We then found the surface area and volume using the are of the hexagon (which was 72).  our method was valid but can be improved as it only works with a hexagon that can be broken into equal right triangles. a way we could improve our method is by using interior angles as well as side length to measure and calculate dimensions. We ran into some confusion and needed to problem solve when breaking the hexagon into triangles because I had thought I could use a regular hexagon. I was wrong but I now know that different hexagons can be broken into different types and amount of triangles and I look forward to inquiring more about polygons and patterns of triangles.

All about Graphing and Linear Modeling Project

In this project we worked in a group of three to present on the skills needed in linear graphing. This included explanation and examples of slope, equations for a line, direct variation, parallel, perpendicular, horizontal and vertical lines. Also we choose a model to express as a linear model.  In this project we used the core competencies as to develop our knowledge and complete the presentation. I wrote a post about the use of core competencies in Math, also on my Edu blog. The project was A great opportunity to learn about the basics on linear graphing and was helpful in introducing modeling problems, in a manageable less intensive way.