6.3.7Ma

 ** Grade: 6 Unit: 3 Week: 7 Dates: 1/7-12/11 **
 * Content: Solving One Step Equations-Addition and Subtraction **

** Theme Essential Question: ** How can you use numerical and algebraic expressions, equations, and inequalitites to solve real life mathematical problems?

** Essential Questions: **   ** Standards **   ** Objectives **   ** Reflections and/or Comments from your PCSSD 6th Grade Curriculum Team ** (Taken from Ohio Department of Education Teaching) The skill of solving an equation must be developed conceptually before it is developed procedurally. This means that students should be thinking about what numbers could possibly be a solution to the equation before solving the equation. For example, in the equation x + 21 = 32 students know that 21 + 9 = 30 therefore the solution must be 2 more than 9 or 11, so x = 11. Provide multiple situations in which students must determine if a single value is required as a solution, or if the situation allows for multiple solutions. This creates the need for both types of equations (single solution for the situation) and inequalities (multiple solutions for the situation). Solutions to equations should not require using the rules for operations with negative numbers since the conceptual understanding of negatives and positives is being introduced in Grade 6. When working with inequalities, provide situations in which the solution is not limited to the set of positive whole numbers but includes rational numbers. This is a good way to practice fractional numbers and introduce negative numbers. Students need to be aware that numbers less than zero could be part of a solution set for a situation. As an extension to this concept, certain situations may require a solution between two numbers. For example, a probem situatation may have a solution that requires more than 10 but not greater than 25. Therefore, the exploration with students as to what this would look like both on a number line and symbolically is a reasonable extension.   ** Background Information **   ** Assessment **
 * Can students write an equation to represent a situation?
 * Can studentsuse models to solve addition equations?
 * use algebra to solve addition and subtraction equations?
 * // 6.EE.7Solve real-world and mathematical problems by writing and solving equations of the form x+p=q and px=q for cases in which p,q and x are all nonnegative rational numbers. //
 * Students will write algebraic equations.
 * Students will se models to solve addition equation.
 * Students will use models to solve addition and subtraction equations.
 * Recommended: For a quick overview of the standard(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials. **
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 * Product **

** Key Questions **

** Observable Student Behaviors ** 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. || ** Vocabulary ** subtraction property of equality inverse operations addition property of equality || ** Suggested Activities ** On Core Mathematics Mastering the Common Core ABC Teaching the Common Core Math Standards with Hands-On Activities Grades 6-8 Gizmos JBHM Glenco Highly Recommended: The Illustrative Mathematics Project offers guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards. The website features a clickable version of the Common Core in mathematics and the first round of "illustrations" of specific standards with associated classroom tasks and solutions. Tasks that illustrate content standard 6.EE.7: ** Diverse Learners **
 * ** Mathematical Practices **
 * ** Math ** ||
 * Algebra tiles
 * Write Equations Lesson 60 p119-120
 * Investigate-Model and solve Addition Equations Lesson 61 p121-122
 * Solve Addition and Subtraction Equations Lesson 62 p123-124
 * Continue Chapter 8
 * Begin chapter 9: 9.1
 * Equations, Equations, Equations p44-Addition and Subtraction only
 * None at this time
 * 6th GP2, Unit 1 SBIL-4 Addition and Subtraction Only
 * 6th 1-7, 9-1a, 9-1, 9-2a, 9-29-3a, 9-3
 * 6th p348-349
 * 7th 1-5,1-6, 4-1, p153, 4-2a, 4-2
 * There is only one-can be used this week or last week.
 * Odyssey (teacher discretion)
 * Skills Tutor (teacher discretion)
 * Math’scool: 1.3
 * Math.com: ( [], [])

** Homework **
 * ** [] ** to print assignments on variety of topics
 * See appropriate Glencoe, OnCore, JBHM, and ABC materials under suggested activities

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 * [|www.nlvm.usu.edu]
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 * Graphing calculators

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** Websites ** <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;"> <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;"> ** Sight Words ** <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;"> <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;"> <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;"> <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;"> <span style="display: block; font-family: arial,helvetica,sans-serif; text-align: left;"> ** Other Activities, etc. **
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