8.14B Use a problem-solving Example: model that incorporates Write a verbal description that understanding the relates the figure number to the problem, making a plan, area of the figures shown below. carrying out the plan, and evaluating the solution for reasonableness. 8.15A Communicate (There are always two tiles on the mathematical ideas using base of the figure. The remaining language, efficient tools, tiles are the same as the figure appropriate units, and number.) graphical, numerical, physical, or algebraic Encourage students to build tables mathematical models. that include a process column to determine the relationship between 8.16A the figure number and its value. Make conjectures from patterns or sets of Example: examples and Write an algebraic expression that nonexamples. will find the area of the nth figure where n represents the figure 8.16B number. Justify your answer. Validate his/her conclusions using mathematical properties and relationships.
8.14B Use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness. 8.15A Communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models. 8.16A Make conjectures from patterns or sets of examples and nonexamples. 8.16B Validate his/her conclusions using mathematical properties and relationships. Example: Write a verbal description that relates the figure number to the area of the figures shown below. (There are always two tiles on the base of the figure. The remaining tiles are the same as the figure number.) Encourage students to build tables that include a process column to determine the relationship between the figure number and its value. Example: Write an algebraic expression that will find the area of the nth figure where n represents the figure number. Justify your answer.