Mathematics | Grade : 4
Domain - Number and Operations—Fractions
Cluster - Understand decimal notation for fractions, and compare decimal fractions.
[4.NF.C.7] - Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.
- Decimal number
Any real number expressed in base ten notation, such as 2.673. - Fraction
A number expressible in the form a/b where a is a whole number and b is a positive whole number. (The word fraction in these standards always refers to a nonnegative number.) - Fractions Learning Progression in Grades 3 - 5
- Valid
a) Well-grounded or justifiable; being at once relevant and meaningful, e.g., a valid theory; b) Logically correct.
[4.NF.A.2] -
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
[4.NF.C.6] -
Use decimal notation to represent fractions with denominators 10 or 100.
For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.
[4.ETS.1.3] -
Plan and carry out tests of one or more design features of a given model or prototype in which variables are controlled and failure points are considered to identify which features need to be improved. Apply the results of tests to redesign a model or prototype.* Clarification Statement: Examples of design features can include materials, size, shape, and weight.
[4.ETS.1.5] -
Evaluate relevant design features that must be considered in building a model or prototype of a solution to a given design problem.*