Pre Algebra A Math Remediation Unit 8 – Solving Equations Unit Objectives: Solve equations using replacement sets. Solve equations using transformations. Identify or write equations that would solve word problems. Write word problems that would be solved by given equations. Solve word problems using equations. Lesson Objectives Lesson Objectives: Lesson 1: Equations and Variables Solve an equation using a replacement set. Remediation: The link that follows is a kinesthetic approach to solving problems. This activity has a section that coordinates with each lesson in this unit. http://www.nsa.gov/academia/_files/collected_learning/middle_school/algebra/solving_equations.pdf The following is a flip chart that can be used on the Smart Board. This notebook is a remediation tool for solving expressions. http://exchange.smarttech.com/details.html?id=5e8d417c31d46bb2773fe4fe4a9db9dd0ea71f0fbd30ce8fd 7f071880501cd86 Lesson 2: Equations: Addition and Subtraction Solve an equation involving transformation by addition. Solve an equation involving transformation by subtraction. Solve an equation involving transformation by addition and subtraction. Remediation: An online quiz solving equations using transformations. Print out and laminate. Use in a small math group or as independent work. http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-02825333-7&chapter=3&lesson=1 Lesson 3: Equations: Multiplication and Division Solve an equation involving transformation by multiplication. Solve an equation involving transformation by division. Remediation: Additional exercise solving equations using transformations. http://www.mathchamber.com/PDFs/algebra/Unit%203%20hw%2031%20Solving%20Algebraic%20Equations.pdf Lesson 4: Equations: Decimals and Fractions, Part 1 Solve an equation involving multiplying decimals. Solve an equation involving dividing decimals. Remediation: http://www.mathchamber.com/algebra/docs/unit_03/a_unit_3.htm offers remediation work solving problems using transformations. Additional worksheets and activities in solving operations with decimals and fractions. http://www.algebra.com/algebra/homework/NumericFractions/ Lesson 5: Equations: Decimals and Fractions, Part 2 Solve an equation involving multiplying fractions. Remediation: http://www.mathchamber.com/algebra/docs/unit_03/a_unit_3.htm offers more practice on solving equations. Print out worksheets to use in a small math group. Lesson 6: Combined Operations, Part 1 Solve an equation involving more than one transformation. Remediation: Use the following as a small group or independent activity. Algebra I: Solving Equations (2-step) # 1 1. Cut the squares apart. 2. Match equivalent sentences. 3. You should get a new 4 X 4 square. x2=100 x=13 8+x=1 x=2 3+4x=19 x= -7 -3x+1=7 x= -2 x=12 2x+4=8 4x= -44 -3x=18 x=14 4x=24 x= -5 x=9 9=x+ -5 x=6 7x= -35 7-6x=1 x=21 x=15 4x+6=50 x=1 x= -3 x/7=3 -3x-4=5 7=x-2 -x=16 x=3 x/4 –1 = 5 x=80 x= -16 5(x+3)=30 x=39 x=48 x=-21 x= -48 x= -13 x-2= -10 3=x x=0 3(x-4)= -15 -7 2x+4=20 x= -1 x=7 (8+ -2)x= -288 -5+ -3+x= -8 x=99 2x+14=28 x/8 +15=20 x= -15 x=25 x-42=32 x= -9 x/13 =3 x=40 x 5 x= -14 72 +x=40 x/4 –5 = 15 2x+3= -17 x=24 x=16 The following is an applet that uses the "balance strategy" at Mathsnet.net. http://www.mathsnet.net/algebra/balance.html . Lesson 7: Combined Operations, Part 2 Solve an equation involving more than one transformation. Remediation: Use the following sheet as a small group or as an independent activity. You can generate additional worksheets like the one below at http://www.math.com/cgi-bin/mathf_sp.pl . Algebra Practice Problems - ANSWERS Date:__________________________ 1) x + 3/5 = 13/5 answer: x = 2 2) x / 6 = 1 answer: x = 6 3) x / 5 = 5 answer: x = 25 4) x / 2 = 6 answer: x = 12 5) x + 9 = 61/7 answer: x = -2/7 6) x / 3 = 4 answer: x = 12 7) 8 + x = -1 answer: x = -9 8) x - 6 = - 16 answer: x = -10 9) x / 2 = 1 answer: x = 2 10) 1 + x = 4 answer: x = 3 11) x + 1 = 12 answer: x = 11 12) 1 + x = 13 answer: x = 12 13) x + 5 = 29/7 answer: x = -6/7 14) x + 8 = 33/4 answer: x = 1/4 15) 8 + x = - 3 answer: x = -11 16) -1 + 3x = 5 answer: x = 2 The following is an activity that can be done with the calculator as a group activity. http://teachers.henrico.k12.va.us/math/HCPSAlgebra1/Documents/A1/CasioSOLA_1Equations.doc Lesson 9: Word Sentences and Equations, Part 1 Write a word problem that would be solved by a given equation. Identify an equation that would solve a given word problem. Remediation: The video demonstrates writing equations in a word problems. http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph163s.html . Lesson 10: Word Sentences and Equations, Part 2 Write an equation that models a word sentence. Remediation: The following is a notebook for the Smart Board that covers equation solving and strategies. http://exchange.smarttech.com/details.html?id=a6652ad390a56062e98199a3ec59fc389652f3dbba7b404 d728fca601b2db59d Lesson 11: Translating Problems into Equations, Part 1 Write an equation for a word problem. Remediation: Use the following notebook on your Smart Board. The Connect 4 game can be used with other lessons and objectives. You can insert your own questions to match lesson. http://exchange.smarttech.com/details.html?id=xc85a3a9350fb421c85efea50a34ed4b8 Lesson 12: Translating Problems into Equations, Part 2 Write an equation that would solve a word problem. Remediation: Use the following activity to write an equation that would solve the word problems. Have students solve the equation after writing it. Answers are provided. http://www.algebra.com/algebra/homework/equations/Equation-solver.solver Lesson 13: Problem Solving, Part 1 Write an equation with a variable to solve a word problem. Solve a word problem. Remediation: http://www.algebra.com/algebra/homework/Inverses/find-reciprocal-of-a-number.solver is a remedial exercise on finding reciprocals. Some students may need extra practice on finding the reciprocal in order to solve an equation. Lesson 14: Problem Solving, Part 2 Write an equation using a variable to solve a word problem. Solve a word problem. Remediation: The following is a jeopardy game to be used with the Smart Board. Adjust or add questions to cover specific objectives if questions are not provided. http://exchange.smarttech.com/details.html?id=a4b07400ba3348cc54868ca82e667e1012220522241 13bac0eb9b343602b42f5