Math 251

Numberline

Holy shift

Partial Differences

Traditional

Decomposing

Question: If Connor ran for a 1/3 of and hour then walked for 1/4 of an hour how much time would that be? What fraction of an hour is it?

20 minutes

7/12

When adding fractions it's helpful to use a clock as a visual aid. When adding fractions having a constant base makes it much easier for us to add fractions in our head

When working with fractions it's important to visualize where it will fall on the number line or draw it out.

It's also helpful to solve fractions by breaking them into friendly pieces.

Subtopic

Partitioning- Splittin up the whole into equilivent parts.

Unit Interation- Consistently repeating a unit in order to build a whole.

Numerator- the current amount of parts of the whole you have.

Demonator- how many parts makes up a unit

Use the numberline and make friendly jumps. This is very helpful expically when you're adding mixed numbers

Miah had 4/6 of a pan of brownies left. Sarah bought 3/4 of what she had left. How much of the what was left did sarah buy?

The computation is3/4 x 4/6= 1/2

When multplying fractions you multply the numerator by the numerator and the denomitor by the denominator.

When using the area model you want to draw a box first. THen you split up the box into as many peices as the demoninator and shade in the number of boxes that are in the numerator. Then you take the next fraction and divide up the the box by as many pieces that the demoniator and shade in the number of pieces that the numberator is. The double shaded boxes is your answer over the total number of boxes.

Partition= dividend split into divisor groups

Repeates Subraction= how many divisors are in the dividend

When dividing fractions you take the resiprical of the divisor and multiply it by the dividend.

Another way to divide fractions is to find a common base for both fractions. Then your answer is the numerator of your divisor over the numerator from your dividend. 4/7 / 3/8= 32/56 / 21/56+ 32/21

Example: 12/25 yards of fabric are in the store. Each dress takes 4/25 yards of fabric. How many dresses can be made?

12/25 / 4/25=3

1/2, .5, 50%

3/8, .375, 37/5%

When thinking about the relationship between fractions and percents and decimals it's helpful to break up the problem. For example when trying to find what percent 3/8 is you can break it up into 1/4 and 1/8. We know 1/4 is 25% and half of 1/4 is 1/8 so 1/8= 12/5%. Then add these together and 3/8= 37.5% or .375

Subtopic

1342= 1000+300+40+2

Breaking down a number by using addition

breaking down numbers by using exponents

(1x1o^3)+(3x10^2)+(4x10^1)+(2x10^0)= 1342

You can use freindly percents to find the answer. For example to find 60% of thirty i found 50% which is 15 and 10% which is three. Then i conbind these to make 60% and the answer is 18.

Three ways to represent ratios

2:34

2 to 24

2/34

There are 2 boys and 34 Girls in out class. What's the ratio of boys to girls? 2 to 34

http://www.youtube.com/watch?v=UsPmg_Ne1po

Ratios can be expressed in ratio tables to help solve problems.

Example: Molly bought 6 heads of cabbage for $9.30. Willie comes to the same store and needs to buy 22 heads of cabbage. How much will it cost?

To solve this i used a ratio table with money on the bottom and heads of cabbage on top. Next, i multiplyed this ratio by 4 to find that 24 heads is 37.20. I subtracted the price of two heads which is $3.10 so 22 heads costs $34.10