Topic+One

= Topic One: Solving Addition and Subtraction Problems To 10 = Pacing (Duration of Unit): 1. Makes sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||
 * ~ = Desired Results = ||
 * __**Transfer:**__
 * __**Established Goals:**__
 * 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.3 Apply properties of operations as strategies to add and subtract. 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.)

__**Student "I Can" Statements:**__


 * I can use strategies to solve addition word problems.
 * I can use strategies to solve subtraction word problems.
 * I can use the commutative property of addition.
 * I can use the associative property of addition.

__**Prerequisite Standards:**__
 * K.OA.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g. claps), acting out situations, verbal explanations, expressions, or equations.
 * K.OA.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
 * K.OA.3 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).
 * K.OA.5 Fluently add and subtract within 5. ||
 * **__Big Ideas:__**

There are multiple interpretations of addition, subtraction, multiplication, and division of rational numbers and each operation is related to other operations.
 * Operation Meanings & Relationships**

Mathematics content and practices can be applied to solve problems. || __**Essential Questions:**__
 * Practices, Processes, and Proficiencies**


 * What are ways to think about addition and subtraction? ||
 * __**Students will know...**__


 * The number of objects in some patterned arrangements can be recognized without counting.
 * Numbers 6, 7, 8, and 9 can be broken into parts of the whole in different ways.
 * Parts of a whole is one interpretation of addition. Addition number sentences can be used to show parts of a whole.
 * Joining parts to make a whole is one interpretation of addition. Addition number sentences can be used to show joining situations.
 * Two numbers can be added in any order.
 * Some problems can be solved by using objects to act out the actions in the problem.

__**Vocabulary:**__ in all, inside, outside, part, whole, double, plus (+), add, sum, addition sentence, equals (=), join, order, addend

|| __**Students will be skilled at...**__


 * Recognizing two-part spatial patterns of numbers.
 * Recognizing parts of a number as a strategy for addition.
 * Recognizing parts of the number 8.
 * Recognizing parts of the number 9.
 * Writing addition expressions and number sentences to find the whole, given two parts.
 * Writing addition sentences to solve stories about joining.
 * Adding in any order.
 * Using objects to solve story problems. ||
 * ~ = Assessment Evidence = ||
 * **Performance Assessment:**

 || **Other Evidence:**


 * Formative Assessments:**

||
 * ~ = Learning Plan = ||
 * __**Learning Activities:**__


 * 1-1** The number of objects in some patterned arrangements can be recognized without counting.


 * 1-2** Numbers 6, 7, 8, and 9 can be broken into parts of the whole in different ways.


 * 1-3** Numbers 6, 7, 8, and 9 can be broken into parts of the whole in different ways.


 * 1-4** Numbers 6, 7, 8, and 9 can be broken into parts of the whole in different ways.


 * 1-5** Parts of a whole is one interpretation of addition. Addition number sentences can be used to show parts of a whole.


 * 1-6** Joining parts to make a whole is one interpretation of addition. Addition number sentences can be used to show joining situations.


 * 1-7** Two numbers can be added in any order.


 * 1-8** Some problems can be solved by using objects to act out the actions in the problem. ||
 * __**Resources:**__


 * Problem of the Month:**


 * **[|Courtney's Collection 1.OA.1]**
 * **[|Digging Dinosaurs 1.OA.1]**
 * **[|Got Your Number 1.OA.1]**
 * **[|Growing Staircases 1.OA.1]**
 * **[|Miles of Tiles 1.OA.1]**
 * **[|Movin 'n Groovin 1.OA.1]**
 * **[|Rod Trains 1.OA.1]**
 * **[|Surrounded and Covered 1.OA.1]**


 * Centers:**


 * **[|Addition Word Problems-1.OA.1]**
 * **[|Subtraction Word Problems 1.OA.1]**
 * **[|Add to change unknown problems (up to 20) 1.OA.1]**


 * SmartBoard Resources/Games:**


 * **[|Order Numbers 1 to 20]**
 * **[|Interactive Hundreds Chart]**
 * **[|Save the Whale - Compliments of Ten]** ||