Previously, students learned to represent tenths and hundredths shaded on a grid as fractions and in decimal notation. They continue to build their understanding of decimals in this lesson and take a closer look at decimals that are equivalent (for example, 0.2 and 0.20). Students articulate why the same value can be expressed in two different ways. They also encounter decimals in equations and on number lines, and use these representations to reason about equivalence.
Representation
None
Determine (orally) whether 2 ways of expressing tenths and hundredths are equivalent.
Match (orally) diagrams and decimals that represent the same value.
Create a set of cards from the blackline master for each group of 2–4.
Suggested Centers
Teacher Reflection Questions
Which students did you not hear from today? Review your class list and try to recall something each student did or said. Make note of the students you missed. How will you bring their voices into the lesson tomorrow?
Standards Alignment
Building On
Addressing
4.NF.C.5
Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade.For example, express as , and add .
Use decimal notation for fractions with denominators 10 or 100. For example, rewrite as ; describe a length as meters; locate on a number line diagram.
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.