Happy Wednesday!
Today in math, we started learning about fractions. We are learning how to place fractions on a number line and also create a picture showing fractions.
Number 1.
First we are going to place numbers and fractions on the number line. We are working with 1/3. If you count by 1/3 to 1, we can easily fill in our number line. Start with 0 and 0/3. Our next line would be 1/3, followed by 2/3 and finally 3/3 which is the same as 1.
Now we get to our drawing. For our first box, they have written the fractions below (what a big help right!?)
We are going to start out by drawing two vertical lines in EVERY box. This will break each box into thirds. Since we are working with 1/3, we shade in one third (one rectangle) inside each box.
Now, what we are doing is finding fractions equivalent to 1/3. For the first box, they already gave us the answer... 2/6. However, we still need to fill in the box. We know that they placed on horizontal line in the box, essentially making 2 copies of 1/3. Because of this we are multiplying the 1 and the 3 in 1/3 times 2. This gives us 1 x 2 and 3 x 2 which equals 2/6. This is the fun part! Now take a look at the picture you created. If you count the shaded boxes, you have 2 out of 6 boxes shaded, or 2/6. This is the same number that we found below when multiplying.
As you move on to the next box, add another horizontal line. So instead of making two copies of 1/3 we made 3 copies of 1/3. Now below the box, we will multiply by 3. This gets us an equivalent fraction of 3/9. 3 out of 9 of the boxes are shaded.
I hope I explained this in the best way possible! Students, if you are struggling, write down questions you have and we will talk about it tomorrow!
Have a wonderful night!
Mrs. C
