Unit of Study: Place Value in Mathematics
Grade: Fifth
Topic: Numbers in the Base 10 System
Length of Unit: ~2 weeks
Focus of Learning
Common Core Standards:
3. Read, write, and compare decimals to thousandths.
a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form,
e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000)
b. Compare two decimals to thousandths based on meanings of the digits in each place,
using >, +, and < symbols to record the results of comparisons.
Standards for Mathematical Practice:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Enduring Understanding(s):
Students will understand…
Our place value system for numbers.
Guiding Questions:These questions will guide student inquiry
How are whole numbers and decimals written, compared, and ordered
Student Performance
Knowledge:Students will understand/know
Our number system is based on powers of 10 both for numbers greater than one and less than one in value.
Application: Students will be able to…
Read, and write decimals to the thousandths place value in standard, word, and expanded form.
Compare decimal values and write about them.
Assessments
Assessments: pre-assessment, formative, and post-assessment/culminating task
Pre-Assessment:
Text BoY Assessment (given the week before)
Quiz at start of Topic in textbook
Formative Assessments:
Quizzes based on Quick Checks
Post-Assessment (Culminating Task)
End of Topic text, modified


Learning Experiences
Lesson Sequence
Lesson 1 Place Value Relationships (page 6-7)
Students will know…
How digits within a multi-digit whole number relate to each other by their place value
Students will be able to…
Identify the place value of digits within multi-digit whole numbers
Lesson 2 Tenths and Hundredths (page 8-11)
Students will know…
Our number system is based on groups of ten. In a multi-digit number, a digit in one place represents ten times would it would represent in that place immediately to its right and one tenth what it would represent in the place immediately to its left.
Students will be able to…
Represent decimals (tenths and hundredths) as fractions. Students also represent fractions with denominators of 10 and 100 as decimals.
Lesson 3 Thousandths (page 12-13)
Students will know…
Our number system is based on groups of ten. In a multi-digit number, a digit in one place represents ten times would it would represent in that place immediately to its right and one tenth what it would represent in the place immediately to its left.
Students will be able to…
Represent decimals (thousandths) as fractions and fractions with denominators of 1,000 as decimals.
Lesson 4 Decimal Place Value (page 14-15)
Students will know…
Numbers can be written in different formats
Students will be able to…
Express multi-digit number and decimals in standard, expanded, and word form
Review and Workshop
Students will work with the concepts taught during the week using hands-on models and in small groups.
Lesson 5 Comparing Decimals (page 16-17)
Students will know…
Place value can be sued to compare and order whole numbers and decimals
Students will be able to…
Compare and order decimals with values out to the thousandths place
Lesson 6 Problem Solving: Look for a Pattern (page 18-21)
Students will know…
Some problems can be solved by identifying elements that repeat in a predictable way
Students will be able to…
look for patterns with decimal-number sets in order to solve problems.
Topic Review (page 22-23)