Unit 6 Topic 2: Combinations of Numbers
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Common Core Standards: Operations and Algebraic Thinking
Represent and solve problems involving addition and subtraction. CCSS.MATH.CONTENT.1.OA.A.1 Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.1 CCSS.MATH.CONTENT.1.OA.A.2 Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. Understand and apply properties of operations and the relationship between addition and subtraction. CCSS.MATH.CONTENT.1.OA.B.3 Apply properties of operations as strategies to add and subtract.2 Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.) CCSS.MATH.CONTENT.1.OA.B.4 Understand subtraction as an unknown-addend problem. For example, subtract 10 - 8 by finding the number that makes 10 when added to 8. Add and subtract within 20. CCSS.MATH.CONTENT.1.OA.C.5 Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). CCSS.MATH.CONTENT.1.OA.C.6 Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 - 4 = 13 - 3 - 1 = 10 - 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 - 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). |
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2.1 Revisiting How Many of Each Problems?
Revisiting How Many of Each? Problems
- Finding relationships among different combinations of a number
- Finding as many 2-addend combinations of a number as possible
- Trying to prove that all the possible 2-addend combinations of a number have been found
2.2 Crayon Puzzles About More
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Crayon Puzzles about More
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2.3 Dot Addition
Dot Addition: Students play a new variation of this game.
Classroom Routine: Quick Survey: Have a brother? Have a sister?
- Adding 2 or more single-digit numbers
- Using numbers and standard notation (+, −, =) to record
Classroom Routine: Quick Survey: Have a brother? Have a sister?
2.4 More Crayon Puzzles
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Crayon Puzzles
Classroom Routine: Start with/Get to |
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Math and Literature Lesson
Bean Thirteen
Task: What are all the fair and unfair ways you can share 12 beans with 3 people?
Bean Thirteen
Task: What are all the fair and unfair ways you can share 12 beans with 3 people?
2.5 Assessment: Ten Crayons in All & How Many Days Routine
- Finding as many 2-addend combinations of 10 as possible
- Reasoning about more, less, and equal amounts
- Adding 2 or more single-digit numbers
2.6A True or False?
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