enVision Mathematics Topics 10-11
1st Grade; February – March (5 weeks); 2nd/3rd Trimester
Embedded Files
Topic Title(s):
Use Models and Strategies to Add Tens and Ones (Topic 10)
Use Models and Strategies to Subtract Tens (Topic 11)
Prepared Graduates:
MP1. Make sense of problems and persevere in solving them.
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):
1.NBT.C. Number & Operations in Base Ten: Use place value understanding and properties of operations to add and subtract.
Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.* (CCSS: 1.NBT.C.4)
Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used. (CCSS: 1.NBT.C.5)
Subtract multiples of 10 in the range 10–90 from multiples of 10 in the range 10–90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.* (CCSS: 1.NBT.C.6)
Perform computation with addition and subtraction while making connections to the properties of operations and to place value structure. (Entrepreneurial Skills: Critical Thinking/Problem Solving)
Model quantities with drawings or equations to make sense of place value. (MP1)
Use the base-ten structure to add and subtract, including adding and subtracting multiples of ten. (MP7)
Inquiry Questions
Can you add or subtract ten without having to count by ones?
How does modeling addition look different if you add tens and ones separately compared to counting on by tens then by ones?
Coherence Connections
This expectation represents major work of the grade.
In kindergarten, students model and describe addition as putting together and adding to, and subtraction as taking part and taking from, using objects or drawings. Students also work with numbers 11–19 to gain foundations for place value.
In Grade 1, this expectation connects with understanding place value and adding and subtracting within 20.
In Grade 2, students understand place value for three-digit numbers and use that understanding and properties of operations to add and subtract within 1000 and fluently add and subtract within 100.
Academic Vocabulary & Language Expectations:
Assessments:
Instructional Resources & Notes:
enVision Mathematics Topics 10-11
Additional enVision Mathematics Resources
Let's Investigate! Fill the Car (TE) (supports Lessons 10-3, 10-4, 10-5)
Let's Investigate! Story Match (TE) (supports Lessons 11-4, 11-5, 11-6, 11-7)
3-Act Math Recording Sheets (Topic 11)
Additional Math Games: Addition & Subtraction Within 100 (additional materials and preparation may be required)
Notes:
*Students do not need to show mastery of all the strategies presented in Topics 10-11; 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 are expected to use the number line to add and subtract within 100 in 2nd Grade.
Tier 1 Intervention & Supports (i-Ready Tools for Instruction):
Tier 1 Intervention Topic 10: Add Tens to Two-Digit Numbers, Add Two- and One-Digit Numbers, Finding 10 More and 10 Less, Two-Digit Addition Without Regrouping
Tier 1 Intervention Topic 11: Finding 10 More and 10 Less, Add and Subtract Tens
Coherence Map/Concept Progressions: 1.NBT.C.4, 1.NBT.C.5, 1.NBT.C.6
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