Saturday, 30 September 2017

Week 5 Reflection- Integers


This week in class we looked at integers. We started the class off with our group activities led by Stefan and Tristan. This week I was in Stefan’s group where we did a coin battle. This was a great introductory activity for a grade seven class. The game was interactive and hands on and laid out so that it was easy to follow along and understand the concepts of integers. For the activity we had to flip a coin 20 times. Every time you landed on a tails you added a positive one and every time you landed on a heads you added a negative one. We had to record each of our trials while simultaneously recording our process on the number line to visualize the progression. Once we finished our 20 flips we had to add the integers together, or look at our number line. Whoever had the highest positive number won the activity. Britney came out on top with positive 8 where the rest of our table group came out with positive 4. Overall I found the activity to be very useful in order to get oneself familiar with the concepts of integers, and especially negative integers and what they look like considering that for students in grade 7, this is their first time being exposed to working with these numbers.

J. K. (2017). Flipping a Coin. [Online Image]. Retrieved from http://www.psychic-junkie.com/flipping-a-coin-gives-you-the-truth-of-the-matter.html


When we got back to the whole class, we continued to work with integers. We went over what an integer is, them being numbers, being positive or negative, them not having decimals and not having fractions. We then looked at the integer big ideas.
1.     The negative integers are the “opposites” of the whole numbers.
2.     The zero property, that is, (-1) + (+1)= 0
3.     The meanings for the operations (=,-,x,/) also applies to all integers.
We saw that integers can be represented on an integer line where negative integers are valued less than zero, and one always to the left of zero, and positive integers are valued more than zero and always on the right of zero.


Tutor Vista. (2017). Number line. {Online Image}. Retrieved from  http://math.tutorvista.com/number-system/number-line.html


We then reviewed the rules for operations of integers for adding, subtracting, multiplication and division. We were then able to practice these skills by solving a list of a variety of questions dealing with an array of integers. Another activity we did was through the method of teaching through problem solving. This gave students a meaningful way to work with both positive and negative integers, applying what they know about the concepts to real world problems. Our first problem was to figure out the minimum temperature rating of the sleeping bag needed to buy for peaching the peak of Mt. Everest. We used positive integers when going up in elevation and negative integers when decreasing in temperature. The second activity asked us how to find the difference between two elevations, which again, used both positive and negative integers. This activity allowed for us to use all of the concepts we learned today in one, by adding the positive and negative integer as well as displaying it on a number line.

Until next time. Happy Mathing!

Saturday, 23 September 2017

Week Four Reflection- Fractions!


This week’s math class focus was on fractions. We started off the class by breaking up into three groups to conduct the weekly led activities. For this week I was in Hamoun’s group where we did activities based on adding and subtracting fractions, an activity that would be geared towards grade sevens. The concept of Hamoun’s activity was taught through the requirement of solving simple everyday problems in regards to fractions. The activity that he chose to conduct was 12.19, mental problem solving involving fractions where we used examples of problems that involved cooking and measuring with cups. We started of answering a questions in pairs to find out how much more sugar than flour was used in a recipe. To solve this question we had to find common denominators in order to subtract the fractions and find our answers. We then as a group came up with our own problem to solve regarding the total measurement of ingredients needed to make a pie. Instead of using common denominators this time, we were instructed to solve the problem visually using pie charts. Throughout this activity we learned how to solve simple addition and subtraction fractions using two methods. I enjoyed this activity because it provided a useful example of math in real life. I have always been a baker and so I use these fractions all the time. It was a good example of using math in everyday life and its significance.  When the whole class got back together, the three presenters briefly provided an overview of their activities. We could see the progression of difficulty growing within the three activities and how each one builds on each other.


Clark, S. (2013, 24, January).  Kitchen Essentials. [Online Image] Retrieved from https://www.bodybuilding.com/fun/kitchen-essentials-8-items-you-need-to-prepare-healthy-food.html 

Coming back together as a whole class, we looked further into fractions. We explored the Frayer Model to determine what a fraction is. The definition we came to was, a numerical quantity that is not a whole number. Some characteristics of a fraction include having a numerator and denominator where the smaller number is on top and the larger number on the bottom. Some examples of fractions include ¾, 1/3, 2/7. A non-example of a fraction would be anything that is not a fraction.

 Thompson, A. (2016, 16, February). Frayer Model. [Online Image] Retrieved from http://superell.com/using-the-frayer-model-in-your-ell-classroom/

We then went to explore some big ideas regarding fractions. One of the big ideas was, fractions could represent parts of regions, parts of sets, parts of measures, divisions, or ratios. At the end of class we explored different ways of teaching fractions. We looked at teaching through children literature where we were given the example of the Hershey bar. We talked about teaching fractions through games such as those that can be found online. It can also be taught through problem solving which we did quite a few examples of in class. We largely used manipulatives to solve these problems as it provided a great visual for students to understand what they are doing.

Until next week. Happy mathing!

Week 12 Reflection- Game Reviews

Week 12 Reflection This was our last week of 8P24. Todays class we were presenting our math games that we were playing online throughou...