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Develop an understanding of addition and subtraction of whole numbers and strategies for basic facts.
Models will be used to develop an understanding of the meanings of addition and subtraction, the relationship between them and strategies to solve problems.
Models: manipulatives, number lines, drawings and pictures, charts and symbols
Strategies: part-whole, adding to (counting-on), taking away from (counting back), comparing
The commutative and associative properties will be used to explain (e.g. making tens) and solve problems.
Students will develop fluency and apply single-digit addition and subtraction facts to and including 10. (10 problems in 1 minute)
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1.OA.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.OA.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. |
1.OA.3 - | Apply properties of operations as strategies to add and subtract.3 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.) |
1.OA.4 - | Understand subtraction as an unknown-addend problem. For example, subtract 10 - 8 by finding the number that makes 10 when added to 8. |
1.OA.5 - | Relate counting to addition and subtraction (e.g., by counting on 2 to dd 2). |
1.OA.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). |
1.OA.7 - | Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 - 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2. |
1.OA.8 - | Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 + ? = 11, 5 = ? - 3, 6 + 6 = ?. |
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Math Their Way- Center for Innovation in Education/Addison-Wesley
Box It and Bag It-The Math Learning Center
Developing Number Concepts Book 2—Addition and Subtraction by Kathy Richardson/Dale Seymour Publications
Daily Word Problems- Grade 1 Math/ Evan Moor Publications
Read It! Draw It! Solve It!—Grade 1/Dale Seymour Publications
Vocabulary – Specialized and High Frequency
Adding to, Taking from, putting together, taking apart, comparing, unknown, drawing, add, subtract, +,- , sum, count-on, addition, subtraction, number sentence, count-back, decompose, make ten, difference, equal to , fact families, commutative property, associative property, equals, equal sign, equation, count, compare, number line, symbol, strategy
Common Core State Standards: Standards for Mathematical Practice
Standard 1: Make sense of problems and persevere in solving them
Standard 2: Reason abstractly and quantitatively
Standard 3: Construct viable arguments and critique the reasoning of others
Standard 4: Model with Mathematics
Standard 5: Use appropriate tools strategically
Standard 6: Attend to precision
Standard 7: Look for and make use of structure
Standard 8: Look for and express regularity in repeated reasoning