Here is a list of great websites offer lots of resources, printable worksheets and tutorials for TI 84:
Showing posts with label Mathematics. Show all posts
Showing posts with label Mathematics. Show all posts
Friday, December 21, 2012
Saturday, December 15, 2012
How to teach Integers
Image by Gerd Altmann from Pixabay 
A fellow teacher asked for help teaching integers. Students are having a real difficult time understanding integer operations and it's very crucial for them to learn it. In the past couple of years, I have tried several methods to teach integers but I find the following method better than others. It's making a lot more sense to the students.
Using Bank Account for Teaching Integers:
105 : I deposited 10 dollars, spent (withdrew) 5.
10+5: I deposited 10, then 5 more.
10+5: I spent 10 dollars, and then deposited 5.
105: I spent 10 dollars at Store A, then spent another 5 at Store B. How much did I spent altogether?
10+(5): I have spent 10, then withdrew 5.
10 (5): This could be a little tricky. I would suggest: Teach them subtracting a negative is the same thing as adding. So they would turn (5) into +5 and then continue thinking as above.
To explain why subtracting a negative becomes adding: You can try debt. Let's say you have a debt of 5 dollars. A friend of yours pays off your debt for you for free. This takes away your debt so your actual account would increase 5 dollars. A little complicated, huh? Then, just tell them to turn that into a plus :)
Thursday, November 8, 2012
MathDrills.com
Image by Gerd Altmann from Pixabay 
If you haven't come across with this website yet, hurry up! Math Drills is providing thousands of ready to print worksheets for students who need more practice with their foundational skils. I have downloaded so many of their worksheets until now and I have used them many times in my classroom. Here is a short description of the website:
Welcome to MathDrills.com where we have over 13,000 free math worksheets with answer keys. At MathDrills.com, we strive to provide highquality printable math worksheets for teachers, parents, home schoolers and other educators. Please choose a category from our navigation menu above or scroll down for more information.
Monday, November 5, 2012
MathCounts
MathCounts is a nation wide math competition which has regional, state and national chapters. The competition is open for middle school students in grades 6 through 8. You may find more information on their website: http://mathcounts.org/
Tuesday, October 30, 2012
Problem Solving Strategies
After reading Comprehending Math, I decided to ask students three essential questions while solving problems. Those questions are only a few that I took from Arthur Hyde's Braided Model. Those three questions help students to break down a word problem, understand it and develop strategies for solving. As a classroom teacher, you can turn these questions into a routine every time they come across word problems. Students can write down their responses or simply exchange ideas to help others lead to a solution.
Here is an example: The sum of three numbers is 98. The ratio of the first to
the second is 2:3, and the ratio of the second to the third is 5:8. What is the
value of the second number?
1) WHAT DO I KNOW FOR SURE?
Sample response: I know that the sum of the three numbers in 98. The ratio of the first number to the second is 2 to 3 and the ratio of the second number to the third is 5 to 8.
2) WHAT DO I WANT TO KNOW, FIGURE OUT OR DO?
Sample response: We would like to know what the second number is.
3) HOW CAN I SOLVE THIS PROBLEM?
Sample response: Since the second number is mentioned twice, I need to find the greatest common multiple of 3 and 5 and then represent the numbers as algebraic expressions. GCF (3,5)=15 so I can use the following expressions for each number:
Number one= 10x
Number two = 15x
Number three= 24x
You can see that these numbers will satisfy the ratios mentioned in the problem:
(10 to 15 is same as 2 to 3) and (15 to 24 is same as 5 to 8)
I will then add these three expressions 10x+15x+24x = 49x
Since 49x = 98 x=2 and now we can tell the numbers are 20, 30 and 48 respectively.
Singapore Math Experience
First, let's start with Singapore. You know that one of the highest math learners are in Singapore according to a study here. US being behind Singapore, some folks decided to bring Singapore Math curriculum into the United States. I believe that they did a great job. What makes Singapore Math so special is that:
 They don't have fancy, thousandpage textbooks.
 Their textbooks are simple, to the point, full of exercise and unlike their rivals not so much colorful.
 Their math goes in a sequential order so there are not much repetitions.
 Third grade math taught in third grade, no unnecessary repeats in later grades.
I think this is what Common Core people are trying to do right now. Other than those, Singapore Math has a different approach for teaching algebra, numbers and problem solving. You may see some of their work on Khan Academy as well. (Edit: They removed Singapore Math content from their website but they are still available on their Youtube channel)
Alright, I decided to use Singapore Math in my middle school classes because my students were missing lots of foundational skills which were supposed to be taught in elementary school such as long division or decimal multiplication. I decided to spend at least one class a week targeting those concepts but at the same time I didn't want to bore advanced learners.
So, I decided to test them all first to see which grade level they will fall into. In order to be able to do this, I have used Singapore Math Placement tests starting with 1A level. It says that on the website, if a student receives 80% or more, they can move onto a higher level test. A few students scored at 1A level and the others passed. I continued testing them until they score at any point below 80 %. Some students went all the way up to 4A and 4B level. These students were my advanced learners.
To be clear with the grade levels, do not assume that the middle school students are scoring at an elementary level. since they are not taught the Singapore way, it's quite normal for them to get wrong answers with the math questions they have never seen before. I have only done this to see where they belong according to Singapore Math curriculum and what level good be a good start for them.
Later on, I have shared them privately how they scored on the tests. Then, I have made copies of Singapore math textbooks in order to help them learn those concepts. They studied through the practice books and I have recorded their progress through those packets. This took me about two or three months in total but I have seen great improvement with some students.
For example, I had a very smart eighth grade student who didn't learn long division ever and I was able to teach him since he had to do lots of long division with those packets. At the end of the program, I had two types of students: The ones who liked it and the ones who hated it. I guess there were couple things missing at this cycle which I couldn't afford to do. Let me summarize the learning circle:
 They take a test and we identify students' level.
 Students start practicing (completing the packets with the teacher's assistance)
 Teacher gives them feedback on their mistakes and they learn from those mistakes [Yes, I skipped this part]
 Students fix the mistakes and they retake the test they failed before.
 Students score more than 80% on the same test, so they can move on.
 Students scoring less than 80% means they need intervention.
By the way, I created a spreadsheet to keep track of which packet they have finished, what they got on the placement tests etc. When you put them all together, this was too much work but it gave me lots of new ideas to try:
Last year, I was teaching summer school where the students failed their math class and I had only fifteen days with them. Looking for what would be the best thing to work with them, I decided to implement Singapore Math curriculum. I did the same thing as above, except for one thing: giving them feedback. Since I had only five students, I was able to grade each packet and circle their mistakes, ask them go over again and fix them as much as possible.
This was very helpful since I saw the students actually improving their scores and learning the basic concepts which they never learned before (such as reading time, converting customary units and measurement). Everything seemed to be alright but we only had fifteen days so it was a little short to gain a great amount of success.
Overall, I still love the Singapore math curriculum but I would rather have students start with this curriculum in their first grade and become fluent with their foundational math skills. If you have any ideas, suggestions, you can share them here.
Saturday, October 27, 2012
Math Game Night Ideas
Image by April Bryant from Pixabay 
Students sit around like in a spelling bee contest. They go up on the stage and answer the questions by doing mental math.
Round 1: This round consists of questions 110 time tables problems.
Examples: 5 x 4 = ? 7 x 8 = ?
Round 2: This round consists of two digit by one digit multiplication problems
( 11x 1 to 19 x 10)
Examples: 12 x 8 = ? 14 x 5 = ?
Round 3: This round consists of two digit by two digit multiplication digit. ( 11x11 to 19x20)
Examples: 25 x 20 = ? 17 x 12 = ?
For this round, a multiplication table will be distributed to participants prior to the competition. In case of a tie, students will be asked harder problems.
Game 24:
Student sign up for the competition. Game will be performed as a tournament. In each round, two students compete against each other and the winner goes to next level. In each round, students are to answer three questions.
Jeopardy:
First option:
In Jeopardy, there will be four players competing against each other. Every student will represent their homeroom.
Second option:
Four students will be selected randomly from the audience. Student sign up before the game and a raffle takes place in front of the audience. After the raffle students go up and compete against each other.
Are you smarter than a seventh grader?
A group of 11the graders compete with a group of 7th graders. Questions will be from all subject areas of 7th grade. 7th grade students will be picked by the teachers. 11th graders need to sign up.
Millionaire:
The winners of the game show will be able to play at the millionaire. During the game they are allowed to ask the audience, call an outsider, or go 50/50.
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