Factor, Expand, and Combine Like Terms
Common Core State Standards
Math 
Math 
7 
Grade 7 
EE 
Expressions & Equations 
A 
Use properties of operations to generate equivalent expressions 
1 
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. 
Download Common Core State Standards (PDF 1.2 MB) 
Common Core State Standards
Math 
Math 
Practice 
Mathematical Practice Standards 
MP4 
Model with mathematics. Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. In early grades, this might be as simple as writing an addition equation to describe a situation. In middle grades, a student might apply proportional reasoning to plan a school event or analyze a problem in the community. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, twoway tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose. 
Download Common Core State Standards (PDF 1.2 MB) 
Common Core State Standards
Math 
Math 
Practice 
Mathematical Practice Standards 
MP6 
Attend to precision. Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning. They state the meaning of the symbols they choose, including using the equal sign consistently and appropriately. They are careful about specifying units of measure, and labeling axes to clarify the correspondence with quantities in a problem. They calculate accurately and efficiently, express numerical answers with a degree of precision appropriate for the problem context. In the elementary grades, students give carefully formulated explanations to each other. By the time they reach high school they have learned to examine claims and make explicit use of definitions. 
Download Common Core State Standards (PDF 1.2 MB) 

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Developed in Partnership with
Length
10 minutes
Objective
Apply properties of operations as strategies to help simplify expressions
Questions to Consider
 How does this lesson help students develop their mathematical vocabulary?
 What are the benefits of having students use manipulatives like the work mat and cards?
 How could you imagine using this lesson in your own classroom?
Learn more about EQuIP's Student Work Protocol.
See the Playlist: Strengthening Lessons for the Common Core.
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Teacher & School Info

Michelle Goldberg
 School Details
 Sudbrook Magnet Middle School Baltimore, MD
 Population
 1,021 students
 District Spending
 $11,307
Supporting Materials

Factor, Expand, and Combine Like Terms Transcript

Lesson Plan: Factor, Distribute and Combine.PDF

Concept Cards.PDF

EQuIP Review Feedback.PDF

EQuIP Math Rubric.PDF

Achieve website

Maryland State Department of Education