This is a worksheet designed for algebra students developing skills in the rules of exponents. The task works to develop a comprehensive understanding of the rules by asking students to critique samples of student work that address common errors. Students are also asked to think critically about how order of operations might affect the result when simplifying exponential expressions. This worksheet would be best used when students have a strong knowledge of exponents, so that they are able to recognize errors, rather than believe them to be true.
Microsoft Word version: 912Algebra_SSE_Exponents_Worksheet_Critique
PDF version: 912Algebra_SSE_Exponents_Worksheet_Critique
This activity was used in an Algebra 2 classroom. The objective was for students to demonstrate how to determine if linear functions are parallel or perpendicular. The activity was developed for students to work in groups in a hands-on way while using multiple representations (graphs, equations, tables of values) of linear functions. First, students have to find the slope of each linear function then match them as parallel or perpendicular. This activity also serves as a review of how to find the slope from a graph, an equation and a table of values. Students are then given two specific linear functions and asked to show why they are either parallel, perpendicular or neither. The final task if for students to write a mathematical argument in which they must use the definitions of parallel and perpendicular lines to support their claim using the work they have previously done as their evidence.
Microsoft Word version: 912Algebra_IF_ParPerpLines_Worksheet_Construct_ParallelandPerpendicularMatchingActivity1
PDF version: 912Algebra_IF_ParPerpLines_Worksheet_Construct_ParallelandPerpendicularMatchingActivity_1
This task was used in an Algebra 2 class. The concept was solving linear equations. The objective was for students to write a mathematical argument that demonstrates their understanding of solving linear equations. Students are presented with the work of two students. Students are to write a mathematical argument that includes a claim, warrants, evidence and appropriate use of mechanics.
Microsoft Word version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique
PDF version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique
This task is given to algebra students learning linear equations. Students are given a two-step equation to solve and a sample student’s solution. Argumentation language is used when asking students to explain the sample solution, create a claim, and provide evidence to defend their solution. Sentence starters are used to provoke the use the mathematical and argumentation language.
Microsoft Word version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_5
PDF version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_5
This task is designed for algebra students to critique two approaches to solving the same linear equation. The common error addressed here is the order in which a student might approach solving an equation. Students are prompted to construct an argument by stating a claim as to which solution he or she agrees with, explaining why that claim is made, and addressing what went wrong in the other solution.
Microsoft Word version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_4
PDF version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_4
This task was used in an Algebra 2 class. The objective was for students to demonstrate how to solve a two step equation by critiquing the work of another person. Students need to explain the reasoning behind the work shown and determine if it is correct or not. Students then need to make any corrections to the person’s work and provide evidence to support their answers.
Microsoft Word version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_3
PDF version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_3
This task was presented to students in an Algebra 2 class. The objectives were for students to solve a two step equation and critique the work of others using evidence to defend their answers. It was used at the beginning of the school year when we began to play with the idea of writing mathematical arguments.
Microsoft Word version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_2
PDF version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_2
This task was used in an Algebra 2 class. The objective was for students to demonstrated how to solve a two step equation by critiquing the work of another person. Students need to explain the reasoning behind the work shown and determine if it is correct or not. Students then need to make any corrections to the person’s work and provide evidence to support their answers.
Microsoft Word version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_1
PDF version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_1
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 is a lesson plan designed around a word problem. A word problem provides two points that students must recognize as ordered pairs in a linear relationship and use this information to predict a future point in the relation. Students must be able to interpret the word problem and find slope from the two points. The lesson plan offers three different approaches to solving the problem. These can be used differently based on the level of students in a class. One recommendation is to group students and have each group solve the problem using a different approach and be able to explain to the class. You may also want students to use each approach themselves and determine how each may work best in different situations.
Microsoft Word version: 912Algebra_REI_LinearEquations_LessonPlan
PDF version: 912Algebra_REI_LinearEquations_LessonPlan