enVision Mathematics Topic 1
4th Grade; August (2 weeks); 1st Trimester
Embedded Files
Topic Title(s):
Generalize Place Value Understanding
Prepared Graduates:
MP7. Look for and make use of structure.
Standard(s):
1. Number and Quantity
The highlighted evidence outcomes are the priority for all students, serving as the essential concepts and skills. It is recommended that the remaining evidence outcomes listed be addressed as time allows, representing the full breadth of the curriculum.
Students Can (Evidence Outcomes):
4.NBT.A. Number & Operations in Base Ten: Generalize place value understanding for multi-digit whole numbers.
Explain that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division. (CCSS: 4.NBT.A.1)
Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. (CCSS: 4.NBT.A.2)
Use place value understanding to round multi-digit whole numbers to any place. (CCSS: 4.NBT.A.3)
Write multi-digit whole numbers in different forms to support claims and justify reasoning. (Entrepreneurial Skills: Literacy/Writing)
Use the structure of the base-ten number system to read, write, compare, and round multi-digit numbers. (MP7)
Inquiry Questions
How do base ten area pieces or representations help with understanding multiplying by 10 or a multiple of 10? How can base ten area pieces be used to represent multiplying by 10 or a multiple of 10?
Imagine two four-digit numbers written on paper and some of the digits were smeared. If you saw just 325∎ and 331∎, could you determine which number was larger?
When is it helpful to use a rounded number instead of the exact number?
Coherence Connections
This expectation represents major work of the grade.
In Grade 3, students use place value understanding and properties of operations to perform multi-digit arithmetic.
In Grade 4, this expectation connects to using the four operations with multi-digit whole numbers to solve measurement and other problems.
In Grade 5, students extend their understanding of place value to decimals, and read, write, and compare decimals to thousandths.
Academic Vocabulary & Language Expectations:
Place value, millions, period, expanded form, greater than symbol (>), less than symbol (<), rounding, conjecture
Assessments:
Instructional Resources & Notes:
enVision Mathematics Topic 1
Additional enVision Mathematics Resources
Let's Investigate! Make a Million (TE) (supports Lessons 1-2, 1-3)
Additional Math Games: Multi-Digit Place Value (additional materials and preparation may be required)
Tier 1 Intervention & Supports (i-Ready Tools for Instruction):
Tier 1 Intervention: Compare Multi-Digit Numbers, Round Multi-digit Numbers, Place Value in Multi-Digit Whole Numbers
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