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

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.

Unit of Study: Place Value in MathematicsGrade:FifthTopic:Numbers in the Base 10 SystemLength of Unit: ~2 weeksFocus of LearningCommon 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 inquiryHow are whole numbers and decimals written, compared, and ordered

Student PerformanceKnowledge: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.

AssessmentsAssessments:pre-assessment, formative, and post-assessment/culminating taskPre-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 ExperiencesLesson SequenceLesson 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 WorkshopStudents 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)