What is the best activity to teach base-ten place value that incorporates fractions and percentages?
The 10 base place value is a decimal system.The question is placed by senior but relating to the young growing mind.
Creating sense in maths takes us to teach through play and a math lab.
Before, knowing percentage , it is better you create sense of one , one full, half or one of the two equal parts. 1/3 or one third or one in three equal parts. Like that you can progreesively go for 1/4 or one in 4 equal parts.
1/2= one part out of two equal parts.(You can cut a paper into two equal parts and show.) Similarly go for 1/3 , 1/4 etc.
Next step is to show what is 2/3 or 2 equal parts out of 3 equal parts. Here also you can tear a paper in 3 equal parts and the 2 equa parts out 3 equal parts makes a 2/3 of the original paper you tore. You can also show through drawing, and interesting geometrical shapes or heaps of small color stones or seeds ( how to make a fraction of number of stones from a heap). The activity should interest the children like a play.
Extend your math lab for quite a prolonged time to teach what is fractions like: a) 1/2 or 2/4 or 3/6 b)2/3 and 4/6 or 5/10 and create a sense of what is meant by equivalent fraction.
I think now you are nearing to create a sense of percentage.
1/2 = 50/100 are eqivalent fractions. Therefore 1/2 of the 100 is 50%
1/4=25/100 or 1/4 and 25/100 are equivalent fraction and so, 1/4 of 100 is 25 or it is 25%.
7/10 =70/100 or 7/10 and 70/100 are equivalent .So 7/10 of any thig is equivalent 70/100 of anything. So 7/10 is as good as 70%.
You can extend like that till it percolates the young brain and stabilises there. But don't expect a big miracle.There may be very useful brains which may prefer refraining from maths.
Here is something you might want to try...
Students will practice converting a fraction into a decimal and a percent.
Mathematics - 6th Grade
For each group:
· White paper for books
· Base Ten Blocks
For each student:
· Colored pencils/crayons
· Base 10 Worksheet (Worksheet with 6 base ten grids on it)
1. Using the base ten blocks, show the 100 square. This equals 100/100 = 1/1 = 1.0 = 100%
2. Transfer information onto the Base Ten Grids by coloring all 100 squares.
3. Using base ten blocks, show 50 out of 100, 1/2 = 0.50 = 50 %.
4. Transfer information onto Base Ten grids by coloring 50 of the 100 squares.
5. Continue making diagrams using:
10/100 = 1/10 = 0.1 = 10%
20/100 = 1/5 = 0.2 = 20%
25/100 = 1/4 = 0.25 = 25%
30/100 = 3/10 = 0.3 = 30%
40/100 = 4/10 = 0.4 = 40%
60/100 = 3/5 = 0.6 = 60%
70/100 = 7/10 = 0.7 = 70%
75/100 = 3/4 = 0.75 = 75%
80/100 = 4/5 = 0.8 = 80%
90/100 = 9/10 = 0.9 = 90%
6. Review how to convert a fraction into a decimal and then find the percent:
o To convert a fraction to a decimal, divide the numerator by the denominator.
o To convert a decimal to a fraction, write the place value of the decimal as the denominator. Write the digits of the decimal as the numerator.
o To convert a percent into a fraction or a decimal, rewrite the percent as a fraction over 100.
o To convert a fraction to a percent, use the following proportion:
part = percent value