A B C D

Solutions for Session 10, Part A

See solutions for Problems: A1 | A2 | A3 | A4

Problem A1

Reflection on the three questions should include the ideas described below.

 a. The fundamental algebraic ideas (content) in this video are patterns that lead to functions and proportional reasoning. b. The skills that the teacher expects students to demonstrate involve representing patterns with tallies, pictures, or charts to find relationships between numbers of people and numbers of feet or toes. c. Students demonstrate their knowledge of the intended content by drawing pictures or tallies, or counting by twos or fives to answer questions about the relationships.

 Problem A2 Ms. Webber encourages students to use patterns to predict when she asks students to look at the table to answer questions such as the numbers of feet for six or 10 people.

 Problem A3 Ms. Webber uses "doing and undoing" when she asks students to work backwards to find the number of people for 70 toes.

 Problem A4 Ms. Webber uses recursive thinking when she encourages students to count by twos or fives to answer the questions.

 Session 10, Grades K-2: Index | Notes | Solutions | Video

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