1. Problem Structure: Putting Together/Taking Apart Unit of Study: Addition and Subtraction Concepts within 10 Global Concept Guide: 2 of 5

2. Content Development This global concept guide focuses on two problem structures: put-together and take-apart within addition and subtraction. These two problem structures differ from the first two structures (add to and take from). Now, students will focus on joining two groups or separating one group. Previously, students focused on situations that added to one group or subtracted from one group.

3. Content Development- Bar Model  Commonly used strategies include making a list, looking for patterns, working backward, solving a simpler problem, acting it out, and guessing and checking. However, of the many problem-solving strategies students learn, perhaps the most logical, thorough strategy is bar diagramming. Bar diagrams (also known as a bar model): Help students visualize situations. Create concrete pictures from words and abstract situations. Demonstrate comprehension of the problem. Lead students to a viable solution plan.  Bar diagrams connect problem solving from one grade level to the next. With the continuity of a common method used across different grade levels, students can utilize this strategy with confidence.  Bar diagrams clearly align with the four-step problem-solving plan.  Students create a visual representation to demonstrate a clear understanding of the problem.  The bar diagram requires students to identify the problem’s setting and the values associated with the situation.  The completed bar diagram leads to a definitive solution plan.  The bar diagram can be used as a visual clue to determine the reasonableness of the solution Silbey, R. Bar Diagrams: The logical, visual problem-solving strategy. Downloaded from http://macmillanmh.com/FL/mathconnects_econsultant/assets/rscrharticles/bar_diagrams.p df on June 12, 2013 http://macmillanmh.com/FL/mathconnects_econsultant/assets/rscrharticles/bar_diagrams.p df

4. Content Development- Bar Model

5. Day 1  Conceptual Understanding  Session 6 Lesson: Put Together/Take Apart Problems (Addend Unknown)  This lesson focuses on the missing addend within an addition or subtraction problem situation. It is essential for students to continue building understanding about the concept of addition and subtraction.  Teacher will continue to build connections between the situation, model, and equation.

6. Day 2  Conceptual Understanding  Session 7 Lesson: Add-To/Take From Problems (Both Addends Unknown)  In this lesson, students need to understand the relationship of the two addends. If one addend’s value increases the other addend’s value decreases. This pattern structure is an essential understanding of addition.  The following anchor chart can be used with session 7. It can be used to show the relationship between two missing addends. It is important for students to discover the pattern between the two addends. Teachers should carefully select student models to allow for discovery of the pattern.

7. Day 3  On day 2, students explored addition and subtraction situations with two missing addends. Connect this exploration and learning with the bar model represented in Lessons 1.4 and 2.4.  Go Math: Lesson 1.4- Emphasize problem situations #1-6 on page 26 and 27. It is essential for students to build their understanding through problem situations and continue use of the strategies, put-together and take-apart.  Go Math: Lesson 2.4- Emphasize problem situations #1-6 on page 66 and 67.

8. Enrich/Reteach/Intervention  Reteach/Intervention  Go Math: Chapter 2 p. 61B Tier 1- Students will model problem situations and the teacher will provide guiding questions to support learning.  Go Math: Chapter 2 p. 65B Tier 1- Students will draw a bar diagram/model to represent the situation.  Go Math: R4 Model Part-Part-Whole- Students will have the opportunity to extend the learning to the bar model/diagram.  Go Math: R15 Model Part-Part-Whole- Students will have the opportunity to extend the learning to the bar model/diagram.  Enrich- These enrichment lessons allow student to focus on the bar model.  Go Math: E12 What’s for Lunch  Go Math: E4 Complete the Bar Model