Grade 4 GT Mathematics
Numbers & Operations in Base 10 (5.NBT)
During this unit, students develop understanding of why division procedures work based on the meaning of base-ten numerals and properties of operations. They finalize fluency with multi-digit addition, subtraction, multiplication, and division. They apply their understandings of models for decimals, decimal notation, and properties of operations to add and subtract decimals to hundredths. They develop fluency in these computations, and make reasonable estimates of their results. Students use the relationship between decimals and fractions, as well as the relationship between finite decimals and whole numbers (i.e., a finite decimal multiplied by an appropriate power of 10 is a whole number), to understand and explain why the procedures for multiplying and dividing finite decimals make sense. They compute products and quotients of decimals to hundredths efficiently and accurately.
NOTE - The "Background Info. and Guided Practice" links require a free registration to use the LearnZillion content. Parents can create a free "Teacher" account here. Once logged in you can access the "Background Info. & Guided Practice" videos without interruption.
What will my child learn?
Students will:
Understand the Place Value System.
5.NBT.A.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.
5.NBT.A.2
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. Use whole-number exponents to denote powers of 10.
Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.
Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
5.NBT.A.4
Use place value understanding to round decimals to any place.
5.NBT.B.5
Fluently multiply multi-digit whole numbers using the standard algorithm.
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.
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
Students will:
Understand the Place Value System.
5.NBT.A.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.
- Enrichment Tasks: Which Number Is It? | Kipton's Scale
5.NBT.A.2
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. Use whole-number exponents to denote powers of 10.
- Enrichment Tasks: Marta's Multiplication Error | Multiplying Decimals by Ten
Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.
Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
5.NBT.A.4
Use place value understanding to round decimals to any place.
- Enrichment Tasks: Rounding to Tenths and Hundredths |
5.NBT.B.5
Fluently multiply multi-digit whole numbers using the standard algorithm.
- Enrichment Tasks: Elmer's Multiplication Error |
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.
- Enrichment Tasks: Minutes and Days
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
- Enrichment Tasks: What is 23 Divided by Five? | The Value of Education
What are some signs of student mastery?
|
More 4 U
Click here to check out more resources, including online activities to support student reasoning and sense making. |