## Operations and Algebra

Unit 1:  Operations and Algebraic Thinking (September/October) 30 days
Students develop strategies for adding and subtracting whole numbers based on their prior work with small numbers. They use a variety of models, including discrete objects and length-based models (e.g., cubes connected to form lengths), to model add-to, take-from, put-together, take-apart, and compare situations to develop meaning for the operations of addition and subtraction, and to develop strategies to solve arithmetic problems with these operations.

Quick Links to standards in this Unit: 1.OA.1, 1.OA.2, 1.MD.4, 1.OA.3, 1.OA.4, 1.OA.8, 1.OA.5, 1.OA.6, and 1.OA.7

Reference and Resource Books

 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. Text References                     NCTM Focus in Grade 1: pp. 38-43 TSCM: Chapter 3 Teacher Submitted Resources - Intranet Only Discovery Education Resources 1.OA.1 (Open the Discovery Education website first) Online Resources Domino Writing Lesson Seeds Combinations to 20 Lesson Plan Word Problems within 20 Formative Assessments
Back to the top

 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. Text References    NCTM Focus in Grade 1: pp. 38-43 TSCM: Chapter 3 Teacher Submitted Resources - Intranet Only Discovery Education Resources 1.OA.2 (Open the Discovery Education website first) Online Resources Lesson Seeds Three Addend Word Problems Formative Assessments
Back to the top

 1.MD.4 Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another. Text References                       TSCM: pp. 310 - 321 Teacher Submitted Resources - Intranet Only Discovery Education Resources 1.MD.4 (Open the Discovery Education website first) Online Resources Lesson Seeds First Bite Lesson Plans Data Helps Us Answer Questions Formative Assessments
Back to the top

 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). Text References TSCM: Chapter 4 Basic Math Facts: Chapter 1 - Intranet Only Discovery Education Resources 1.OA.3 (Open the Discovery Education website first) Online Resources Lesson Seeds Formative Assessments
 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. Add and subtract within 20. Text References                  TSCM: Chapter 4 Basic Math Facts: Chapter 1 - Intranet Only Discovery Education Resources 1.OA.4 (Open the Discovery Education website first) Online Resources Lesson Seeds Unknown Addend Lesson Plan Properties of Operations to Add/Subtract Formative Assessments
Back to the top

 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 = _. Text References TSCM: Chapter 4 Basic Math Facts: Chapter 1 - Intranet Only Discovery Education Resources 1.OA.8 (Open the Discovery Education website first) Online Resources Find the Missing Number Lesson Seeds Lesson Plans Worms Formative Assessments
Back to the top

 1.OA.5 Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). Text References NCTM Focus in Grade 1: pp. 32-38 TSCM: Chapter 4 Basic Math Facts: Chapter 2-6 Teacher Submitted Resources - Intranet Only Discovery Education Resources 1.OA.5  (Open the Discovery Education website first) Online Resources Lesson Seeds Frogs on a Log Lesson Plans Formative Assessments
Back to the top

 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). Text References               NCTM Focus in Grade 1: pp. 32-38 TSCM: Chapter 4 Basic Math Facts: Chapter 2-6 Teacher Submitted Resources - Intranet Only   Discovery Education Resources 1.OA.6 (Open the Discovery Education website first) Online Resources  Lesson Seeds Lesson Plans Finding Unknown Addend Combinations Formative Assessments
Back to the top

 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. Text References                          NCTM Focus in Grade 1: pp. 32-38 TSCM: Chapter 4 Basic Math Facts: Chapter 2-6 Teacher Submitted Resources - Intranet Only   Discovery Education Resources 1.OA.7 (Open the Discovery Education website first) Online Resources   Lesson Seeds Lesson Plans Block Pounds Formative Assessments
Back to the top