"Today, the student wanted to study for her test the next day. She had her list of math concepts she wanted to go over to be more prepared for her test. We began with multiplying and dividing decimals by 100, 1,000, and 10,000. She was unsure about the placement of the decimal as she worked through the problems. I just made up different equations, first with multiplication then with division. She can perform the steps correctly, but needed reminders to place her numbers in the correct position as well as leaving her decimal in the same place as the numbers "moved." I also had to show her that the first number is what she is dividing into. She is understanding that the number will increase when she multiplies and they will decrease when she divides. She asked for more examples to practice on and we continued until she felt more confident!
Next, we moved on to powers of 10 which she said she was comfortable with. What she wanted to understand better was powers of single digit whole numbers such as 3 to the 4th power. We talked about it and she practiced first with lower numbers, then with higher numbers until she was ready to move on. For a short time, I gave her a decimal to write in standard form. Then I asked her to write that decimal in word form, expanded form, and unit form. She did an amazing job with all of these! After that, we practiced adding and subtracting decimals to make sure she lined up the numbers in the correct place value. This was simple for her.
We had a little bit of time to play Compare Fractions which is the game we play to improve her understanding of fractions. The first game had pictures, but now she is challenged to use the game without pictures. We both use regular cards to place digits in the numerator and in the denominator. We compare and whoever has the higher fraction wins. She can compare correctly 90% of the time! She used her fraction chart if the fractions were too close to tell.
I reminded the student to take her time, think of the steps she needs to use, and check her work before she turns her test in. She is definitely ready to meet or exceed those standards!"