Learning from Mistakes: Linear Equations
Common Core State Standards
Math 
Math 
A 
Algebra 
REI 
Reasoning with Equations and Inequalities 
1 
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. 
Download Common Core State Standards (PDF 1.2 MB) 
Common Core State Standards
Math 
Math 
Practice 
Mathematical Practice Standards 
MP2 
Reason abstractly and quantitatively. Mathematically proficient students make sense of quantities and their relationships in problem situations. They bring two complementary abilities to bear on problems involving quantitative relationships: the ability to decontextualizeto abstract a given situation and represent it symbolically and manipulate the representing symbols as if they have a life of their own, without necessarily attending to their referentsâ€”and the ability to contextualize, to pause as needed during the manipulation process in order to probe into the referents for the symbols involved. Quantitative reasoning entails habits of creating a coherent representation of the problem at hand; considering the units involved; attending to the meaning of quantities, not just how to compute them; and knowing and flexibly using different properties of operations and objects. 
Download Common Core State Standards (PDF 1.2 MB) 

Lesson Idea  Common CoreUnderstanding TransformationsGrade 912 / Math / GeometryMath.HSG.CO.A.4 / Math.HSG.CO.A.5
 12
 2

Lesson Idea  Common CoreCommon Issues with TransformationsGrade 912 / Math / GeometryMath.HSG.CO.A.4 / Math.HSG.CO.A.5
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Lesson Idea  Common CoreDeepening Understanding of TransformationsGrade 912 / Math / GeometryMath.HSG.CO.A.4 / Math.HSG.CO.A.5
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Lesson Idea  Common CoreCollaborative Work with TransformationsGrades 912 / Math / GeometryMath.HSG.CO.A.4 / Math.HSG.CO.A.5
 9
 1

Lesson Idea  Common CoreUnderstanding Proportional RelationshipsGrade 7 / Math / AssessmentMath.7.RP.A.2 / Math.Practice.MP1
 21
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Lesson Idea  Common CoreCommon Issues with Proportional RelationshipsGrade 7 / Math / CollaborationMath.7.RP.A.2 / Math.Practice.MP1
 180
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Lesson Idea  Common CoreDeepening Understanding: Proportional RelationshipsGrade 7 / Math / AssessmentMath.7.RP.A.2 / Math.Practice.MP1
 27
 2

Lesson Idea  Common CoreReviewing Linear Equations in Two VariablesGrades 812 / Math / AssessmentMath.A.REI.1 / Math.A.CED.2 / Math.Practice.MP2
 10
 4

Lesson Idea  Common CoreCommon Issues with Linear EquationsGrades 812 / Math / ReasoningMath.A.REI.1 / Math.A.CED.2 / Math.Practice.MP2
 16
 3

Lesson Idea  Common CoreDeepening Understanding: Linear EquationsGrades 812 / Math / AssessmentMath.A.REI.1 / Math.A.CED.2 / Math.Practice.MP2
 5
 8

Lesson Idea  Common CoreCollaborative Work with Proportional RelationshipsGrade 7 / Math / CollaborationMath.7.RP.A.2 / Math.Practice.MP1
 3
 Lesson Objective
 Work in small groups to analyze student work samples
 Length
 3 min
 Questions to Consider
 What do students learn from collaboratively viewing student work samples?
 How would you decide to group the students for this activity?
 Why is it important for the groups to have guiding questions for the activity?
 Common Core Standards
 Math.A.REI.1, Math.Practice.MP2, Math.Practice.MP3
Teacher & School Info

Susie (Susan) Morehead
 School Details
 Turkey Foot Middle School Edgewood, KY
 Population
 1,020 students
 District Spending
 $7,416
Supporting Materials

MAP: Mathematics Assessment Lessons for High School
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Lesson Idea (Common Core) Learning from Mistakes: Linear Equations
Grade 812 / Math / Equations