Students build upon their understanding of the place value system by extending its patterns to decimals, and continue to read, write, compare, and round numbers, including decimals, in various forms.
Math
Unit 1
5th Grade
In the first unit of 5th grade, students will build on their understanding of the structure of the place value system from 4th grade (MP.7) by extending that understanding to decimals. By the end of the unit, students will have a deep understanding of the baseten structure of our number system, as well as how to read, write, compare, and round those numbers.
In 4th Grade Math, students developed the understanding that a digit in any place represents ten times as much as it represents in the place to its right (4.NBT.1). With this deepened understanding of the place value system, students read and wrote multidigit whole numbers in various forms, compared them, and rounded them (4.NBT.2—3).
Unit 1 starts off with reinforcing some of this place value understanding of multidigit whole numbers to 1 million, building up to that number by multiplying 10 by itself repeatedly. After this repeated multiplication, students are introduced to exponents to denote powers of 10. Then, students review the relationship in a whole number between a place value and the place to its left (4.NBT.1) and learn about the reciprocal relationship of a place value and the place to its right (5.NBT.1). Students also extend their work from 4th Grade Math on multiplying whole numbers by 10 to multiplying and dividing them by powers of 10 (5.NBT.2). After extensive practice with whole numbers, students then divide by 10 repeatedly to extend their place value system in the other direction, to decimals. They then apply these rules and perform these operations with powers of 10 to decimal numbers. Lastly, after deepening their understanding of the baseten structure of our place value system, students read, write, compare, and round numbers in various forms (5.NBT.3—4).
As mentioned earlier, students will look for and make use of structure throughout the unit (MP.7). Students will also have an opportunity to look for and express regularity in repeated reasoning (MP.8), such as “when students explain patterns in the number of zeros of the product when multiplying a number by powers of 10 (5.NBT.2)” (PARCC Model Content Frameworks, p. 24).
This content represents the culmination of many years’ worth of work to deeply understand the structure of our place value system, starting all the way back in Kindergarten with the understanding of teen numbers as “10 ones and some ones” (K.NBT.1). Moving forward, students will rely on this knowledge later in 5th Grade Math to multiply and divide whole numbers (5.NBT.5—6) and perform all four operations with decimals (5.NBT.7). Students will also use their introduction to exponents to evaluate more complex expressions involving them (6.EE.1). Perhaps the most obvious future gradelevel connection exists in 8th Grade Math, when students will represent very large and very small numbers using scientific notation and perform operations on numbers written in scientific notation (8.EE.3—4). Thus, this unit represents an important conclusion to the underlying structure of our number system and opens the door to more complex mathematics with very large and very small numbers.
Pacing: 16 instructional days (13 lessons, 2 flex days, 1 assessment day)
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The following assessments accompany Unit 1.
Have students complete the PreUnit Assessment and PreUnit Student SelfAssessment before starting the unit. Use the PreUnit Assessment Analysis Guide to identify gaps in foundational understanding and map out a plan for learning acceleration throughout the unit.
Have students complete the MidUnit Assessment after lesson 6.
Use the resources below to assess student understanding of the unit content and action plan for future units.
Before you teach this unit, unpack the standards, big ideas, and connections to prior and future content through our guided intellectual preparation process. Each Unit Launch includes a series of short videos, targeted readings, and opportunities for action planning to ensure you're prepared to support every student.
Concrete or pictorial base ten blocks 


Place value chart 


Number line 

exponent
power
thousandth
To see all the vocabulary for Unit 1, view our 5th Grade Vocabulary Glossary.
Topic A: Place Value with Whole Numbers
Topic B: Place Value with Decimals
Topic C: Reading, Writing, Comparing, and Rounding Decimals
Key
Major Cluster
Supporting Cluster
Additional Cluster
CCSS.MATH.PRACTICE.MP1 — Make sense of problems and persevere in solving them.
CCSS.MATH.PRACTICE.MP2 — Reason abstractly and quantitatively.
CCSS.MATH.PRACTICE.MP3 — Construct viable arguments and critique the reasoning of others.
CCSS.MATH.PRACTICE.MP4 — Model with mathematics.
CCSS.MATH.PRACTICE.MP5 — Use appropriate tools strategically.
CCSS.MATH.PRACTICE.MP6 — Attend to precision.
CCSS.MATH.PRACTICE.MP7 — Look for and make use of structure.
CCSS.MATH.PRACTICE.MP8 — Look for and express regularity in repeated reasoning.
Unit 2
Multiplication and Division of Whole Numbers
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