Claire and Walker each draw a Circle of Evaluation for the following expression: Add 10 and 2. Multiply the sum by 3. Next, add 1 to the product, then double the result. Examine their work and then write your analysis, below.

Claire: Walker:

(​* (+ (​* (+ 10 2) 3) 1) 2)

(​* (+ 1 (​* 3 (+ 10 2))) 2)

(((10 + 2) × 3) + 1) × 2

(1 + (3 × (10 + 2))) × 2

1 Is Claire correct? Is Walker correct? Explain. How are their Circles of Evaluation alike? Different?

2 In the space below, draw a different correct translation of the expression printed at the top of the page. (Try to draw a Circle of Evaluation that no one else in your class will draw!)

These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, 1738598, 2031479, and 1501927). CCbadge Bootstrap by the Bootstrap Community is licensed under a Creative Commons 4.0 Unported License. This license does not grant permission to run training or professional development. Offering training or professional development with materials substantially derived from Bootstrap must be approved in writing by a Bootstrap Director. Permissions beyond the scope of this license, such as to run training, may be available by contacting contact@BootstrapWorld.org.