enVision Mathematics Topics 6-8
Kindergarten; November – January (7 weeks); 2nd Trimester
Embedded Files
Topic Title(s):
Understand Addition (Topic 6)
Understand Subtraction (Topic 7)
More Addition and Subtraction (Topic 8)
Prepared Graduates:
MP4. Model with mathematics.
MP5. Use appropriate tools strategically.
MP6. Attend to precision.
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):
K.OA.A. Operations & Algebraic Thinking: Model and describe addition as putting together and adding to, and subtraction as taking apart and taking from, using objects or drawings.
Represent addition and subtraction with objects, fingers, mental images, drawings (drawings need not show details, but should show the mathematics in the problem), sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (CCSS: K.OA.A.1)
Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. (see Appendix: Table 1) (CCSS: K.OA.A.2)
Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1). (CCSS: K.OA.A.3)
For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation. (CCSS: K.OA.A.4)
Fluently add and subtract within 5. (CCSS: K.OA.A.5)
Make sense of real-world situations involving addition and subtraction (Entrepreneurial Skills: Critical Thinking/Problem Solving)
Mathematize a real-world situation, focusing on the quantities and their relationships rather than non-mathematical aspects of the situation. (MP4)
Act out adding and subtracting situations by representing quantities in the situation with objects, fingers, and math drawings. (MP5)
Use the equal sign consistently and appropriately. (MP6)
Inquiry Questions
How could you show me adding 3 and 2?
How could you show me 3 take away 2?
Coherence Connections
This expectation represents major work of the grade.
In preschool, students represent addition and subtraction within 5 with fingers, objects, and drawings.
In kindergarten, this expectation is part of a progression involving addition and subtraction of increasingly large numbers and increasingly complex problem subtypes (see Appendix, Table 1).
In Grade 1, students understand properties of operations, the relationship between addition and subtraction, and add and subtract within 20.
Academic Vocabulary & Language Expectations:
Join, in all, part, whole, addition sentence, add, plus sign (+), equal sign (=), equation, sum, left, separate, subtraction sentence, take away, difference, subtract, minus sign (–), break apart, operation
Assessments:
Instructional Resources & Notes:
enVision Mathematics Topics 6-8
Additional enVision Mathematics Resources
Let's Investigate! Wheel Parade (TE) (supports Lessons 6-1, 6-2)
Let's Investigate! Walk-a-thon (TE) (supports Lessons 7-4, 7-5)
Let's Investigate! Lost and Found (TE) (supports Lessons 8-5, 8-6)
Additional Math Games: Addition & Subtraction Within 10 (additional materials and preparation may be required)
Notes:
It is recommended to teach Lesson 7-2 (Represent Subtraction as Taking Apart) before Lesson 7-1 (Explore Subtraction) in Topic 7.
It is recommended to skip the 3-Act Math Task in Topic 7 (Fruit Salad).
Tier 1 Intervention & Supports (i-Ready Tools for Instruction):
Tier 1 Intervention Topic 6: Understand Addition, Count On to Add, Add Within 5
Tier 1 Intervention Topic 7: Subtraction, Subtract Within 5
Tier 1 Intervention Topic 8: Make Numbers to 5, Facts Practice, Make 6, 7, 8, and 9, Number Pairs for Sums to 10, Add Within 10, Subtract Within 10, Addition and Subtraction Word Problems
Coherence Map/Concept Progressions: K.OA.A.2, K.OA.A.3, K.OA.A.5
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