Standard Progressions for Fractions by

Fractions are Numbers!

rfhaydin — 2021-04-15 20:12:39 UTC

The denominator determines how many parts make up a whole number, like a pie. The numerator is a slice of that pie, or a part that makes up the whole.

Representing Fractions on a Number Line

rfhaydin — 2021-04-15 20:15:02 UTC

Students need to be able to put fractions down on a number line and be able to figure out which ones go where on a number line.

Equivalence of Fractions

rfhaydin — 2021-04-15 20:34:20 UTC

Students are expected to find out whether or not a fraction is the same size, or the same size piece of pie.

Equivalence of Fractions Modeling

rfhaydin — 2021-04-15 20:36:36 UTC

The students should understand the symbols >,<,= and use them to describe fractions

Adding, Subtracting, Multiplying, and Dividing Fractions

rfhaydin — 2021-04-15 20:38:18 UTC

At the end of fourth grade, the students should be able to do all of these operations with fractions and mixed numbers. There is some more understandings of fractions needed in order to be able to use these operations.

Understanding Decimal Notation

rfhaydin — 2021-04-15 20:40:25 UTC

Students should understand how to express 3/100 as 30/100, and so on. They need a deep and rooted understanding of decimal places to be able to understand this concept.

Use Equivalent Fractions to Add and Subtract Unlike Denominators

rfhaydin — 2021-04-15 20:42:31 UTC

The students will be able to add and subtract fractions with different denominators by changing the denominators in some fractions.

Use Equivalent Fractions to Multiply and Divide Unlike Fractions

rfhaydin — 2021-04-15 20:44:40 UTC

The same reasoning as addition and subtraction in unlike fractions is applied here, as well. The students will have an understanding on how to multiply and divide unlike fractions.

Using all They Have Learned About Fractions

rfhaydin — 2021-04-15 20:47:30 UTC

The students must not take all that they have learned about fractions from the previous three years and apply it to more complex mathematical problems, such as equations.