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Solving Linear Equations:

Ms. Megan arnold SDAIE 8 th Grade Algebra I Lesson Plan Solving Linear Equations

Content and ELD Standards::

Content and ELD Standards: Content Area Standard: 5. Solve linear equations in one variable. (Common Core Standard 8EE-7) a. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers). (Common Core Standard 8EE-7a) b . Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. (Common Core Standard 8EE-7b)


Objectives: At the end of this lesson, students will be able to . . . Use the addition, subtraction, multiplication, and division properties of equality to solve equations. Use inverse operations to solve equations. Solve linear equations with variables on both sides of the equation. Set up models of equations and solve them through a hands-on experience.

Into Strategies::

Into Strategies: Quick Writing- Students will take a few minutes before the lesson starts and answer the questions from the PowerPoint into their notebook: What do you remember about solving for linear equations? Do you remember the steps to solving for a linear equation? What are the steps that you remember? What are questions that you have at this point? Verbalizing- Students will team up and each group would be given a vocabulary word. The teams will discuss how this word may apply to the concepts being learned that day and what they remember about linear equations. The students will come together as a class and share their word and definitions. Students will be able to ask questions and clarify their ideas.

Through Strategies::

Through Strategies: Lecture using PowerPoint- Students will have a concept demonstrated to them. They will be asked to complete a problem as a class (by the show of hands or by calling on students); each student would be providing the next step or asking questions. Students will practice a problem on their own. The class will come together to review it. Independent Practice and Think-Pair-Share- Students will complete 5 problems in allocated time and then share their answers and steps with a peer. Students can learn from each other by finding their mistakes. Students can ask questions to their peer.

Beyond Strategies::

Beyond Strategies: Group Work- The activity will be a group assignment where students will be working together to model problem solving with manipulatives (candies). Students will walk through the steps together. Students will be given: 30 peppermint mini candy canes which equal x 30 flavored mini candy canes which equal - x 30 peppermints which equal 1 30 caramels which equal -1 Balance bar worksheet Work sheet with problems

Group Assignment::

Group Assignment: Students will solve these equations using candies and the above worksheet. 1. 3x + 4 = 10 2. 9 = 2x – 1 3. 5x – 2 = 3x + 4 4. 7 – 2x = 2 + 3x 5. 12x = 6x – 6 6. 6 – 3x = x – 2 7. –3x = 4x + 7 8. 3 + 4y = 3y – 1 9. 2x + 4 - x = 3x 10. 2(3 + 2x) = –6x +5 Students will use the candies on the worksheet below.


Example: Students will be shown an example before they begin. 1. 4x = x + 12



Beyond Strategies::

Beyond Strategies: Questioning- While working through the group work students will be asked to write down any questions they have and try to answer the question. Students will turn in their question sheet so I can see what questions are still unanswered and questions that students answered for themselves. Reflection- Students will be able to reflect on what they learned in the lesson. They will compare to their Quick Write at the beginning of the lesson. Students can see where they still have problems and ask questions. Students can summarize the step-by-step process of solving linear equations. Students will be given a few minutes to discuss their reflection with a peer so that they can possibly have their question answered of find that their peer has the same question. Students will also be given a couple minutes at the end of the lecture to have their questions answered by either the teacher or other students.


Closing: The class will come together and students will ask final questions and tell the class about what they learned and found most useful. Tomorrow we will be learning how to solving multiple variable linear equations. We will be working with equations with an x and a y . Ex. Solve for x : 4y+7= 3x+1 where y = 8

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