enVision Mathematics Topic 6
4th Grade; November – December (3 weeks); 2nd Trimester
Embedded Files
Topic Title(s):
Use Operations with Whole Numbers to Solve Problems
Prepared Graduates:
MP1. Make sense of problems and persevere in solving them.
MP2. Reason abstractly and quantitatively.
MP4. Model with mathematics.
MP7. Look for and make use of structure.
Standard(s):
2. Algebra and Functions
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.OA.A. Operations & Algebraic Thinking: Use the four operations with whole numbers to solve problems.
Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. (CCSS: 4.OA.A.1)
Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Appendix: Table 2) (CCSS: 4.OA.A.2)
Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. (CCSS: 4.OA.A.3)
Make sense of multi-step word problems by understanding the relationships between known and unknown quantities. (MP1)
Reason quantitatively with word problems by considering the units involved and how the quantities they describe increase or decrease with addition and subtraction or scale with multiplication and division. (MP2)
Use mathematics to model real-world problems requiring operations with whole numbers and contextually interpret remainders when they arise. (MP4)
Look for structures of commutativity and inverses of operations in solving whole number problems with the four operations. (MP7)
Inquiry Questions
What makes a multiplicative comparison different from an additive comparison?
How can you recognize whether a comparison is multiplicative or additive?
Coherence Connections
This expectation represents major work of the grade.
In Grade 3, students represent and solve problems involving multiplication and division, apply properties of multiplication and the relationship between multiplication and division, solve problems involving the four operations, and identify and explain patterns in arithmetic.
This expectation connects to other ideas in Grade 4: (a) using place value understanding and properties of operations to perform multi-digit arithmetic, (b) extending understanding of fraction equivalence and ordering, (c) building fractions from unit fractions, and (d) solving problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
In Grade 5, students apply and extend previous understandings of multiplication and division to multiply and divide fractions by fractions.
Academic Vocabulary & Language Expectations:
Assessments:
Instructional Resources & Notes:
enVision Mathematics Topic 6
Additional enVision Mathematics Resources
Let's Investigate! Sea Turtle Problem Sort (TE) (supports Lessons 6-1, 6-2, 6-3)
Additional Math Games: Factors, Multiples & Multiplicative Comparison (additional materials and preparation may be required)
Tier 1 Intervention & Supports (i-Ready Tools for Instruction):
Tier 1 Intervention: Multiplication as Comparison, Solve Comparison Problems, Solve Multi-Step Word Problems
Page updated
Report abuse