1. NC NAEP Project Module 3 - Activity 3 Doing and Analyzing Early Algebra Problems from NAEP Elementary Module 3, Activity 3

2. Goals Develop understanding of what algebraic thinking is and how it builds through the elementary grades and beyond. Examine a collection of NAEP items to see how algebraic topics may be represented for elementary school children. Elementary Module 3, Activity 3

3. Goals Learn why some algebraic topics are being included in the elementary school mathematics curriculum ◦ guiding understanding of relations such as equality and inequality ◦ developing recognition of growing and repeating patterns ◦ describing patterns using variable expressions and equations ◦ developing recognition of functional relationships illustrated in tabular format). Elementary Module 3, Activity 3

4. Algebra Strand NAEP Problems Individually, examine the provided set of NAEP problems. 1) Solve the problem. If possible, look for at least two ways to solve each problem. 2) Make a list of the mathematical and specifically, algebraic concepts emphasized in the task. Elementary Module 3, Activity 3

5. Algebra Strand NAEP Problems In your group examine the provided set of NAEP problems. Record on your chart paper: 1) At least two different solution paths for each problem. 2) Make a list of the mathematical and specifically, algebraic concepts emphasized in the task. Elementary Module 3, Activity 3

6. Algebra Strand NAEP Problems NAEP Problem Early Algebra Concept Emphasized 1.Repeating Pattern - Letter Pattern: NAEP 2003 Grade 8 Block M6 Question #8 Complete a Letter Pattern 2.Kiera’s Beads: NAEP 2009 Grade 4 Block M10 Question #8 Determine Missing Shapes in a Pattern 3.Geo-Shapes Patterns: NAEP 2007 Grade 4 Block M9 Question #17 Find Missing Figure in a Pattern of Shapes 4.Factors of Two: NAEP 1992 Grade 4 Question #12, Problem M042501 Recognize a Pattern and Explain Answer Elementary Module 3, Activity 3

7. Algebra Strand NAEP Problems NAEP Problem Early Algebra Concept Emphasized 5.Triangle Dots: NAEP 2009 Grade 4 Block M10 Question #13 Extend a Pattern and Explain Answer 6.Growing Pattern – Identify Number in a Pattern: NAEP 2007 Grade 4 Block M 11 Question # 3 Growing Patterns: Identify Number that would be in a Pattern 7.Growing Pattern – Find a Term: NAEP 2009 Grade 8 Block M10 Question #9 Find the Next Term in a Geometric Sequence 8.Extend Pattern & Write Rule: NAEP 2009 Grade 8 Block M5 Question #11 Extend a Number Pattern and Write Rule Elementary Module 3, Activity 3

8. Algebra Strand NAEP Problems NAEP Problem Early Algebra Concept Emphasized 9.Balanced Scale Problem (A): NAEP 2003 Grade 8 Block M6 Question 13 Use Algebra to Determine a Relationship (Equality) 10.Balanced Scale Problem (B): NAEP 2007 Grade 4 Block M7 Question #4 Identify Number Sentence that Models Balanced Scale (Equality) 11.Find Unknown in Table: NAEP 2009 Grade 4 Block M10 Question #2 Find value of Unknown in Number Sentences 12.Bikes & Wagons: NAEP 2003 Grade 4 Block M7 Question #6 Find Two Possible Correct Solutions for problem (Equality) Elementary Module 3, Activity 3

9. Algebra Strand NAEP Problems NAEP Problem Early Algebra Concept Emphasized 13.Input to Output Table: NAEP 2007 Grade 4 Block M7 Question #12 Relate Input to Output from a Table of Values 14.Find Puppy’s Weight at a Certain Age: NAEP 1992 Grade 8 Block M5 Question #15 Functions: Use Table to Find Pattern 15.Marcy’s Dots: NAEP 1992 Grade 8 Block M Question #9 Problem M054301 Functions: Extend Pattern to Find Term Elementary Module 3, Activity 3