A template of the talk frame was used to plan a lesson for algebra students learning about composite functions. Students are given a problem in which they make a weekly salary, plus commission, two functions, and two possible function compositions to represent the commission. The Think section provides the question, along with two additional parts, and the Talk Idea section presents the possible realizations about the functions. Argumentation language is used through the construction of the student solution.

Microsoft Word version: 912Algebra_CED_Functions_LessonPlan

PDF version: 912Algebra_CED_Functions_LessonPlan


This activity was used in an Algebra 2 class. It was used at the beginning of the linear functions unit after students learned about slope. Students worked in small groups to determine the steepness of the given segments. The activity was designed with questions that were scaffolded in order to help students dig deeper into their mathematical reasoning. The lesson was also used as a way to get students familiar with showing their “evidence” and supporting their “evidence” with important math ideas, i.e. “warrants”

Microsoft Word version: 912Algebra_CED_LinearFunctions_Worksheet_Construct_Steepness

PDF version: 912Algebra_CED_LinearFunctions_Worksheet_Construct_Steepness


A template of the talk frame was used to plan a lesson for algebra students learning about linear equations. The teacher recorded what he anticipated how students would reword the question in the Think section, what ideas they would contribute in the Talk Ideas section, and both their realization that the problem has multiple solutions and the valid mathematical ideas in the We Understand section. The mathematics focused on modeling with linear equations, creating linear equations from a word problem, and the break-even point. Specifically, students are given the fixed price and price per night of two dog kennels and must determine when the two will be equal.

Microsoft  Word version: 912Algebra_CED_LinearFunctions_LessonPlan

PDF version: 912Algebra_CED_LinearFunctions_LessonPlan


This task is designed for algebra students studying linear equations. Students are asked to compare two scenarios given a flat fee and a rate. Students are then asked to find the value for which the two equations would be equal.

Microsoft Word version: 912Algebra_CED_LinearFunctions_Worksheet

PDF  version: 912Algebra_CED_LinearFunctions_Worksheet


Algebra students are to use their knowledge of linear functions to critique two student responses and construct their own solutions. Students are shown a pattern of the number of leaves falling per day and two responses stating the pattern and predicting the amount of leaves that will fall the next day. Argumentation language is present as students must agree or disagree with the responses, create a claim, and indicate any mistakes made. A response sheet is provided with sentence starters to reinforce the argument.

Microsoft  Word version: 912Algebra_CED_LinearFunctions_Worksheet_ConstructCritique_FallingLeaves

PDF version: 912Algebra_CED_LinearFunctions_Worksheet_ConstructCritique_FallingLeaves


Algebra students are asked to construct multiple equations given rates and flat fees. Students must interpret the problem in order to identify parts of an equation. The task is scaffolded by presenting multiple scenarios separately then combining equations using subtraction. Students must critique student work of combining equations using subtraction by using knowledge of combining like terms and the distributive property. A graphic organizer is provided for students to create an argument using a claim.

Microsoft Word version: 912Algebra_CED_LinearFunctions_Worksheet_ConstructCritique_ThePizzaProblem

PDF version: 912Algebra_CED_LinearFunctions_Worksheet_ConstructCritique_ThePizzaProblem