Cluster 4

Cluster 4: Understanding Place Value and Decimals

5.NBT.1: Explain the patterns in the place value system from one million to the thousandths place.

Explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
Explain patterns in products and quotients when numbers are multiplied by 1,000, 100, 10, 0.1, and 0.01 and/or divided by 10 and 100.

5.NFBT.3: Read, write, and compare decimals to thousandths.

Write decimals using base-ten numerals, number names, and expanded form.
Compare two decimals to thousandths based on the value of the digits in each place, using >, =, and < symbols to record the results of comparisons.

5.OA.2: Write, explain, and evaluate numerical expressions involving the four operations to solve up to two- step problems. Include expressions involving:

Parentheses, using the order of operations.
Commutative, associative and distributive properties.

5.MD.2:Represent and interpret data.

Collect data by asking a question that yields data that changes over time.
Make and interpret a representation of data using a line graph.
Determine whether a survey question will yield categorical or numerical data, or data that changes over time