enVision Mathematics Topic 15
5th Grade; April – May (2 weeks); 3rd Trimester
Embedded Files
Topic Title(s):
Algebra: Analyze Patterns and Relationships
Prepared Graduates:
MP3. Construct viable arguments and critique the reasoning of others.
MP8. Look for and express regularity in repeated reasoning.
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):
5.OA.B. Operations & Algebraic Thinking: Analyze patterns and relationships.
Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. (CCSS: 5.OA.B.3)
Analyze and compare patterns. (Entrepreneurial Skills: Inquiry/Analysis)
Reason quantitatively with patterns by relating sequences of numbers with the rule that generated them. (MP3)
Look for repeated reasoning both within individual patterns and in mathematical relationships between pairs of patterns. (MP8)
Inquiry Questions
When you graph the corresponding terms formed by two numerical rules, how are the rules reflected in the graph?
How does the relationship between two patterns generated by rules relate to the rules themselves?
Coherence Connections
This expectation is in addition to the major work of the grade.
In Grade 4, students generate and analyze number or shape patterns and generalize about them.
In Grade 6, students understand ratio concepts, use ratio reasoning to solve problems, extend previous understandings of arithmetic to algebraic expressions, and represent and analyze quantitative relationships between dependent and independent variables.
Academic Vocabulary & Language Expectations:
Corresponding terms, number sequence
Assessments:
Instructional Resources & Notes:
enVision Mathematics Topic 15
Additional enVision Mathematics Resources
Let's Investigate! Cube Patterns (TE) (supports Lessons 15-1, 15-2, 15-3)
Tier 1 Intervention & Supports (i-Ready Tools for Instruction):
Tier 1 Intervention: None since this Unit Plan is in addition to the major work of the grade
Coherence Map/Concept Progressions: 5.OA.B.3
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