Content Area Algebra Target Course/Grade level Essential Questions 6 Unit Title Expressions and Equations Unit Overview Serves as an abstract; a brief paragraph summarizing the unit or project 6.EE Apply and extend previous understandings of arithmetic to algebraic expressions. Process Standards: Problem Solving Reasoning and Proof Communication Connections Representation Evidence of Learning Formative and Summative measures Lessons and Activities The learning experiences that will facilitate engagement and achievement Discuss the difference between an expression and an equation. Explain that when using exponents that 2 to the 3rd power is not the same as 2x3. Review order of operations. Explain that order must be the same as they are in the written words. After lesson is taught, play Millionaire as a class. (In resources) Have students create their own examples and quiz their classmates. Show that b+b+b is the same as 3b and prove by inserting numbers in for variables. Ask why b+b+b is not equal to b to the 3rd power. Write word problems like “Bill has c cookies. His brother gives him 10 more. Write an expression for how many he now has.” Set Up Shop with Algebra activity – see Resources Pre Assessment Quizzes Tests Homework Written and auditory responses given by children during daily lessons Mini projects: in class and out Culminating Activity Resources Books, articles, text, etc. Glencoe textbook and practice worksheets, including enrichment worksheets Skills Intervention for Pre-Algebra book Writing Algebraic Expressions: http://www.mathgoodi es.com/lessons/vol7/e xpressions.html Millionaire: http://www.mathplay.com/AlgebraicExpressionsMillionaire/algebraicexpressionsmillionaire.html Set Up Shop: http://www.education. com/activity/article/Sh op_Algebra_middle/ Study Island Ixl.com Brainpop.com Glencoe textbook and practice worksheets, including enrichment worksheets Skills Intervention for Pre-Algebra book Inequality Jeopardy: http://www.monroe.ed u/webpages/gberger/r esources.cfm?subpage North Arlington Public Schools 1 Unit Learning Targets As a result of this segment of learning, students will… Page Standards/ CPI’s Content Area Algebra Target Course/Grade level Essential Questions 6 Unit Title Expressions and Equations Unit Overview Serves as an abstract; a brief paragraph summarizing the unit or project Process Standards: Problem Solving Reasoning and Proof Communication Connections Representation Discussion about what makes an equation and inequality different from one another. Use of guess and check/test strategy for solving equations and inequalities. Use problems like “Johnny has 8 crayons in his crayon box. He needs to have a total of 15 for his project. Write an equation to find how many crayons Johnny needs. Solve the equation.” Answer: 8 + c = 15, c = 7 or 7 crayons are needed. Have students create similar types of problems in groups and present to other classmates to critique and solve. Inequalities: I have worked 24 hours so far this week. I need to work a minimum of 40 hours. At least how many more hours do I need to work? Write an inequality and solve. (Can also be used as an introduction and students can explain in words how they know the answer.) Have students create their own inequality problems as well. Determine the differences between real world equation problems vs. inequality problems: one solution for equation vs. multiple solutions for inequalities. Using a number line, graph the results of equations and inequalities. For inequalities, students should be aware that greater than and greater than or equal to will have different graphs: open circles for greater than and a closed circle (point) for greater than or equal to. Inequality Jeopardy (see resources) Pre Assessment Quizzes Tests Homework Written and auditory responses given by children during daily lessons Mini projects: in class and out Culminating Activity =897 Inequality Wars game: http://www.xpmath.co m/forums/arcade.php? do=play&gameid=87 Algebra worksheet generator: http://www.math.com/ students/worksheet/al gebra_sp.htm Tutorial: http://www.shmoop.co m/basicalgebra/solving-onestep-equations.html Game: http://www.math10.co m/en/mathgames/games/equalitie s/games-equationwith-one-variable.html Brainpop.com Glencoe textbook and practice worksheets, including enrichment worksheets Skills Intervention for PreAlgebra book http://nces.ed.gov/nce skids/help/user_guide/ graph/variables.asp Function Machine: http://www.mathplayg North Arlington Public Schools 2 Reason about and solve one-variable equations and inequalities. Page 6.EE Content Area Algebra Target Course/Grade level Essential Questions 6 Unit Title Expressions and Equations Unit Overview Serves as an abstract; a brief paragraph summarizing the unit or project Process Standards: Problem Solving Reasoning and Proof Communication Connections Representation To introduce, ask students how they can solve an equation with one variable. Then ask how they can solve an equation with two variables. Can you use the same strategy? Discuss the meaning of independent and dependent outside of math class first. Then, see if the students can relate the words to math and equations. Ask students if they have ever done something like this before. Brainstorm words like function, function tables, x and y, input and output. Create function tables out of tissue boxes. Create function machines out of construction paper. Use functions in real world problems like, “I make $15 an hour. Create a function table showing how much I would make for working 5, 6, 7, and 8 hours. Write an equation to show how to solve.” What’s the function rule? problems Pre Assessment Quizzes Tests Homework Written and auditory responses given by children during daily lessons Mini projects: in class and out Culminating Activity round.com/functionma chine.html Game: http://www.education. com/activity/article/Eq uation_Race_fifth/ Function Machine: http://teams.lacoe.edu /documentation/classr ooms/amy/algebra/56/activities/functionma chine/functionmachine 5_6.html Literature Connections: http://www.mathwire. com/algebra/growingp atterns.html Brainpop.com 3 Represent and analyze quantitative relationships between dependent and independent variables. Page 6.EE North Arlington Public Schools