Last updated: 2/12/2024

5th Grade Math Trimester 1

3 Weeks

Place Value Systems
(1) NY-5.NBT.3 Read, write, and compare decimals to thousandths.
(1) NY-5.NBT.3a Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.
(1) NY-5.NBT.3b Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
(1) NY-5.NBT.4 Use place value understanding to round decimals to any place.

Essential Questions:

1. How can we represent small numbers and large numbers efficiently?

2. How can we represent this concept with manipulatives, such as base ten blocks?

3. What patterns occur in our number system?

4. Why is rounding to a decimal place value more precise than a whole number?

 

Focus Questions:

1. How do we round decimals?

2. What is the benchmark number for rounding decimals?

 

Learning Targets:

  1. I can represent a decimal number in standard form, unit, expanded, and word form. 

  • I can represent a decimal number in standard form.

  • I can represent a decimal number in unit form.

  • I can represent a decimal number in expanded form.

  • I can represent a decimal number in word form.

 

  1. I can compare decimals using greater than, less than, and/or equal to. 

  2. I can round a decimal to the nearest thousandths.

Decimals: read, write, compare, round

 

Standard Form

Unit Form

Word Form

Expanded Form 

braces

brackets

Tenths

Hundredths

Thousandths 

 

1. Students will be able to write a decimal number in standard form, unit form, expanded form, and word form.

2. Students will be able to compare decimals, using >,<,=.

3. Round decimals to the nearest thousandths 

Place Value Interactive Notebook

NYS Module 1 Lessons 1-6

Dry Erase Place Value Chart

Go Math Chapter 1

Decimal Slider - New Zeland

Decimal beaded number line (goes to 100)

Decimal wheel 

http://www.doe.virginia.gov/instruction/mathematics/elementary/number_sense_module/nns_grade4.pdf

Module 1 End of Unit Test Eureka

1 week 

Exponents and 10X as much 
(1) NY-5.NBT.1 Recognize 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.
(1) NY-5.NBT.2 Use whole-number exponents to denote powers of 10. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10.

Essential Questions:

1. What can affect the relationship between numbers?

Focus Question:

1. How much more is each place value worth as you move to the left on the place value chart?

 

Learning Targets:

 

  1. I can use powers of ten to show that a number is 10x as much or 10x as less than a digit. 

  2. I can mentally multiply whole numbers by powers of ten.

Exponents

10X as much/less

3. Students will be able to recognize that a digit is 10 times as much, or 10 times less than, another digit.

4. Students will be able to multiply whole numbers and decimals by powers of 10 mentally.

 

Module 1 Mid Module Assessment 

3 Weeks

Perform Operations with multi-digit whole numbers and decimals -- Add and Subtract
(1) NY-5.NBT.7 Using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between operations:
  • add and subract decimals to the hundredths;
  • multiply and divide decimals to hundredths.

Relate the strategy to a written method and explain the reasoning used.

Essential Questions:

1. How can you add and subtract decimals?

2. Provide a real world example of when you would add and subtract decimals (ex. balance a checkbook)

 

Learning Targets:

  1. I can add, subtract, multiply, and divide decimals out to the hundredths place.

  • I can add decimals out to the hundredths place. 

  • I can subtract decimals out to the hundredths place.

addition of decimals

subtraction of decimals

Sum

Difference

Rounding 
Estimate

 

2. Students are learning to add, subtract, multiply and divide decimals to hundredths.

Module 1 Assessment Eureka 

Go Math Chapter 3 End of Unit Test

6 Weeks

Perform Operations with multi-digit whole numbers and decimals - Multiply and Divide
(1) NY-5.NBT.5 Fluently multiply multi-digit whole numbers using a standard algorithm.
(1) NY-5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Essential Questions:

 

Focus Questions:

1. How can we determine what operation to use, using key words?

 

 Learning Targets:

 

  1. I can multiply multi-digit numbers using the standard algorithm.

  2. I can divide multi-digit numbers.

  • I can divide up to four digit dividends by one digit divisors. 

  • I can divide up to four digit dividends by two digit divisors.

Multiplication of Whole Numbers

Multiplication of Decimals

Division of Whole Numbers

Division of Decimals 

Quotient

Product

Divisor

Dividend

Remainder

 

 

 

1. Students are learning to multiply multi-digit numbers, using the standard algorithm.

2. Students are learning to divide multi-digit numbers with 4 digit dividends & 2 digit divisors.

 

- NYS Module 1 Lessons 11-16

 

Go Math Chapter 4 Mid- Chapter Checkpoint (Multiplication of decimals)

Go Math Chapter 2  End of Unit Test (Division of Whole Numbers)

Go Math Chapter 5 End of Unit Test (Division of Decimals) 

 
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