1. Standard
   1. Ma.7w : Use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement).
2. Objectives and Scaffolding Strategies
   1. A multi-tiered approach
   2. Objective 1: Students will be able to understand order of operations and use inverse operations to maintain equivalence, and solve for the variable.
      1. ELL Student
         1. Help reinforce key vocabulary by using synonyms. Eg "inverse" and "opposite". Remind them what "variables" and "constant" mean during instruction.
         2. Use Cue cards so they can learn what the algebraic vocabulary words are
            1. algebravocabularycards.pdf
         3. Use more Visual aids rather than say things verbally due to the problem with language.
         4. Write and Model solution clearly on the board
         5. Prefill Handouts so they can understand what is being taught rather than worry about filing in the handout.
      2. Slower Paced STudent
         1. Visual Aids
            1. Helpful in providing a visual aspect to the problem, so they can visually see what is happening when solving the problem.
         2. Handouts
            1. Prefill handouts so they won't have to worry about writing and can focus on what is being taught.
         3. Manipulatives
            1. Use algebraic tiles and manipulatives to help them visualize the concepts and understand zero pairs and trying to isolate the variable.
         4. Extra Help from teacher
            1. Reteach concepts one-on-one or in a small group, using lots of manipulatives and modeling of solution.
         5. Work with a Partner
            1. Discuss and collaborate with a partner. Practice simple sums till mastery is achieved.
         6. Extra practice with Game based learning
            1. One-step Addition Equation
            2. http://www.xpmath.com/forums/arcade.php?do=play&gameid=69
            3. One-step Subtraction Equation
            4. http://www.xpmath.com/forums/arcade.php?do=play&gameid=68
   3. Objective 2: Students will be able to use order of operations and prioritize the reverse order of it to solve two step equations.
      1. ELL Student
         1. Advanced Organizer
            1. The shaded boxes help show the student which step comes next, and overcomes the language barrier.
         2. Manipulatives
            1. Online Game and Manipulatives
            2. http://www.mathplayground.com/AlgebraEquations.html
      2. Slower Paced Student
         1. Advanced Organizers
            1. Serves as an aid to students as it forces them to do each step in sequence and it helps them see how each step happens
         2. Extra Practice with Game Based Learning
            1. One step multiplication equations
            2. One Step Division Equations
            3. Two Step Equations
            4. Equations using Online Manipulatives
         3. Reteach Concept using lots of Manipulatives
            1. Reteach concepts one-on-one or in a small group, using lots of manipulatives and modeling of solution.
            2. Manipulatives help students learn by helping them move from concrete examples to abstract reasoning. It helps students to think and reason in more meaningful ways by giving students concrete ways to compare and operate on quantities.
   4. Objective 3: Students will be able to apply the distributive property to simplify algebraic equations before solving.
      1. ELL Student
         1. Visual Aids
            1. Using familiar things like fast food combo meals, and demonstrate how to do the distributive property, will help students relate to the concept and make it more concrete.
         2. Modeling
            1. Model solutions on the board, going through each question step by step, so they have an idea of how to solve the problem
            2. Use Gradual release of responsibility. I Do, We Do, You'All Do, You Do strategy for the questions assigned
         3. Handouts
            1. Prefill the handouts, as it takes the pressure off the students so they can listen and process what is being said.
         4. Online Games
            1. http://www.shodor.org/interactivate/activities/AlgebraFour/
      2. Slower Paced Student
         1. Model the solution steps on the board, going through each question step by step.
         2. Reteach lesson in smaller groups, focusing on basic distributive property
         3. Use lots of manipulatives and drawings with simple distributive problems to ensure understanding.
         4. Provide lots of simple practice sums to achieve mastery
   5. Objective 4:Students will be able to prioritize the application of inverse operations to solve algebraic equations with pronumerals on both sides of the equation.
      1. ELL Student
         1. Gradual Release of Reponsibility
            1. I Do, We Do, You'All Do, You Do Strategy
            2. This scaffolding method gives the students a chance to see how the problem is solved and the thought process that goes through it.
         2. Manipulatives
            1. Use of manipulatives helps to show what the question looks like in concrete terms with variables on both sides.
            2. Helps to show students how to collect the like terms and isolate the variable
         3. Game Based Learning
            1. http://www.shodor.org/interactivate/activities/AlgebraFour/
      2. Slower Paced Student
         1. Reteach the lesson in small groups, focusing on learning step by step how to solve equations with pronumerals on both sides.
         2. Use lots of manipulatives and drawings, and first use very simple examples to solidify understanding.
         3. Prefilled Advanced Organizer
            1. Summarizes the steps needed to solve an algebraic equation with pronumerals on each side
            2. Prefill it so students won't have to struggle to fill it out
         4. Do lots of simple practice sums to achieve mastery.
   6. Objective 5: Students will be able to use the distributive property to simplify algebraic equations with pronumerals on both sides of the equation and solve the equation.
      1. ELL Students
         1. Visual Aids
            1. use lots of visual aids to help explain the problem and help students visualize the problem and how to solve it
         2. Modeling
            1. Model solution steps on the board
            2. Use gradual release of responsibility
         3. Advance organizers
            1. solving-equation-foldable.pdf
            2. Gives students step by step instructions that can help get them organised in their thought process to solve the problem.
         4. Game Based Learning
            1. http://www.math-play.com/7th-Grade-Algebra-Jeopardy/Algebra-Jeopardy.html
      2. Slower Paced Student
         1. Advance organizers
            1. solving-equation-foldable.pdf
            2. Gives students step by step instructions that can help get them organised in their thought process to solve the problem.
         2. Reteach in smaller groups
         3. Use lots of visual aids to help students visualize and understand the problem
         4. Use lots of manipulatives to make abstract questions more concrete and visual.
         5. Do lots of practice with simple problems till mastery is achieved
3. Big Ideas
   1. Following the rules lead to solution
   2. Use of Order of Operations and Inverse Operations to maintain equality of equation leads to solution.