enVision Mathematics Topics 8-10
3rd Grade; January (4 weeks); 2nd Trimester
Embedded Files
Topic Title(s):
Use Strategies and Properties to Add and Subtract (Topic 8)
Fluently Add and Subtract Within 1,000 (Topic 9)
Multiply by Multiples of 10 (Topic 10)
Prepared Graduates:
MP3. Construct viable arguments and critique the reasoning of others.
MP6. Attend to precision.
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):
3.NBT.A. Number & Operations in Base Ten: Use place value understanding and properties of operations to perform multi-digit arithmetic. A range of algorithms may be used.
Use place value understanding to round whole numbers to the nearest 10 or 100. (CCSS: 3.NBT.A.1)
Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.* (CCSS: 3.NBT.A.2)
Multiply one-digit whole numbers by multiples of 10 in the range 10–90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations. (CCSS: 3.NBT.A.3)
3.OA.D. Operations & Algebraic Thinking: Solve problems involving the four operations, and identify and explain patterns in arithmetic.
Identify arithmetic patterns (including patterns in the addition table) and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends. (CCSS: 3.OA.D.9)
Flexibly exhibit understanding of a variety of strategies when performing multi-digit arithmetic. (Personal Skills: Adaptability/Flexibility)
Demonstrate place value understanding by precisely referring to digits according to their place value. (MP6)
Recognize and use place value and properties of operations to structure algorithms and other representations of multi-digit arithmetic. (MP7)
Explain patterns in arithmetic. (MP3)
Inquiry Questions
How is rounding whole numbers to the nearest 10 or 100 useful?
Do different strategies for solving lead to different answers when we add or subtract? Why or why not?
How can the patterns in addition and/or multiplication tables help predict probable solutions to a given problem?
Coherence Connections
This expectation is in addition to the major work of the grade.
In Grade 2, students use place value understanding and properties of operations to add and subtract fluently within 100.
This expectation connects to other ideas in Grade 3: (a) an understanding of multiplication, (b) knowing the relationship between multiplication and division, and (c) the concept of area and its relationship to multiplication and division.
In Grade 4, students generalize place value understanding for multi-digit whole numbers and use that understanding and the properties of operations to perform multi-digit arithmetic.
Academic Vocabulary & Language Expectations:
Associative (Grouping) Property of Addition, Commutative (Order) Property of Addition, Identity (Zero) Property of Addition, open number line, inverse operations, round, place value, compatible numbers, regroup, conjecture
Assessments:
Instructional Resources & Notes:
enVision Mathematics Topics 8-10
Additional enVision Mathematics Resources
Let's Investigate! Sum Farm (TE) (supports Lessons 8-1, 8-2, 8-3)
Let's Investigate! Moon Festival Tickets (TE) (supports Lessons 9-4, 9-5)
Let's Investigate! Stack It! (TE) (supports Lessons 10-1, 10-2)
3-Act Math Recording Sheets (Topic 9)
Additional Math Games: Addition & Subtraction Within 1,000 (additional materials and preparation may be required)
Notes:
*Students do not need to show mastery of all the strategies presented in Topics 8-9; rather, students should have exposure to a wide range of computational strategies to build number sense, using strategies that make sense to them when solving problems in multiple ways. Students do not need to know or use the standard algorithm. (Students do not need to know or use the standard algorithms for adding and subtracting whole numbers until 4th Grade.)
Topics 8-10 should be assessed together.
Tier 1 Intervention & Supports (i-Ready Tools for Instruction):
Tier 1 Intervention Topics 8-9: Rounding to the Nearest Ten or Hundred, Three-Digit Addition, Three-Digit Subtraction
Tier 1 Intervention Topic 10: Use Place Value to Multiply
Coherence Map/Concept Progressions: 3.NBT.A.1, 3.NBT.A.2, 3.NBT.A.3
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