Focus Plan Texarkana Independent School District GRADING PERIOD: Teacher: 4th Six Weeks PLAN CODE: Tipton Course/subject: Mathematics Grade(s): 7 Time allotted for instruction: 1 – 1 ½ hours Title: Basketball and Solving Equations Lesson TOPIC: Solving Equations TAKS Objective: Objective 2: The student will demonstrate an understanding of patterns, relationships, and algebraic reasoning. FoCUS TEKS and Student Expectation: (5) Patterns, relationships, and algebraic thinking. The student uses equations to solve problems. The student is expected to: (B) formulate a possible problem situation when given a simple equation (13) Underlying processes and mathematical tools. The student applies Grade 7 mathematics to solve problems connected to everyday experiences, investigations in other disciplines, and activities in and outside of school. The student is expected to: (A) identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics Supporting TEKS and Student Expectations: Concepts Equation Enduring Understandings/Generalizations/Principles The student will understand that An equation is a mathematical sentence that shows two expressions are equivalent. Ex: x + 3 = 12 Division of Curriculum and Instruction School Improvement Department Texarkana Independent School District I. Sequence of Activities (Instructional Strategies) A. Focus/connections Place the following problem on the board: Tony, a player for Texas High School, made eight two-point field goals, two three-point field goals, and five free throws the last time the Tigers played Mt. Pleasant. How many points did Tony score? After students are seated, have them get out a piece of scratch paper and solve the problem. Go over the correct answer with the class. Discuss how equations are solved every day in the real world. Discuss the repercussions if problems are set up and solved incorrectly. B. Instructional activities (demonstrations, lectures, examples, hands-on experiences, role play, active learning experience, art, music, modeling, discussion, reading, listening, viewing, etc.) Review with the class the process of solving an equation. Go over the following: The general rules for solving an equation are: 1. Always do an operation to BOTH sides of the equation 2. Do addition and subtraction first, then multiplication and division 3. Always do the opposite operation to move the term to the other side of the equation: o If a term is added to x, then subtract it from both sides Example: x + 5 = 15 ----> you subtract 5 from both sides o If a term is multiplied by x, then divide both sides by it Example: 3x = 15 ----> you divide both sides by 3 o If x is divided by a term, then multiply both sides by it Demonstrate with the following equations: 5x + 4 = 29 6x + 12 = 5x – 9 Discuss that sometimes you are given an equation and you must determine the situation it fits. Write the following equation on the board: x – 4.75 = 15.25 Give the following scenarios and let the class determine which one fits the equation: A. Tom paid $4.75 for a basketball t-shirt that normally cost $15.25. What is x, the amount of money Tom saved? B. Lee measured the width of a plank in the gym floor and it was 4.75 inches long. The total length of the plank was 15.25. What is x, the area of the plank on the gym floor? C. Tracy paid $4.75 for a ticket to the basketball game. She received $15.25 back in change after she paid for her ticket. What is x, the amount money she gave at the ticket booth? C. Guided activity or strategy Students will get in groups of 2 – 3. Each group will receive a Working with Equations Worksheet. Monitor as students complete the guided activity, answering questions if needed. After groups have had time to finish worksheet, have each group give an example of the situation they created for an equation on the worksheet. Division of Curriculum and Instruction School Improvement Department Texarkana Independent School District D. Accommodations/modifications Students requiring modifications will work with a peer during the guided activity. E. II. Enrichment STUDENT PERFORMANCE A. Description Students will complete the Basketball and Equations Worksheet. iii. B. Accommodations/modifications C. Enrichment Assessment of Activities A. Description Students will complete the Basketball and Equations Worksheet individually. B. Rubrics/grading criteria Grades may be taken based on the Basketball and Equations Worksheet Answer Key and Grading Rubric. C. Accommodations/modifications Students requiring modifications may have the number of problems to answer reduced on the Basketball and Equations Worksheet. D. IV. Enrichment E. Sample discussion questions Why is it important to know how to solve equations? Why is it important to know how to match problem situations to the proper equation? TAKS Preparation A. Transition to TAKS context The teacher will lead the students in a discussion of how equation problems may look in test format by placing the TAKS questions below on the board/overhead. B. Sample TAKS questions Division of Curriculum and Instruction School Improvement Department Texarkana Independent School District V. Key Vocabulary Equation VI. Resources A. Textbook Math Advantage ~ Middle School II Chapter 7: Solving One-Step Equations Connecting Equations and Words, pp. 142-143 Working Backward to Solve Problems, pp. 150-151 Chapter 8: Solving Two-Step Equations Write an Equation to Solve Two-Step Problems, pp. 162-163 B. Supplementary materials Working with Equations Worksheet Basketball and Equations Worksheet Basketball and Equations Worksheet Answer Key and Grading Rubric C. Technology For additional practice, student may utilize the following websites: http://www.syvum.com/cgi/online/tgamef.cgi/squizzes/algebra/equations1.tdf?0 http://www.fi.uu.nl/toepassingen/02017/toepassing_wisweb.en.html VII. follow up activities (reteaching, cross-curricular support, technology activities, next lesson in sequence, etc.) A lesson on proportions or solving inequalities would be a good follow-up to this lesson. VIII. Teacher Notes You could create additional exercises by using the data found at www.nba.com. Students could find the number of field goals made and divide that by the number of field goals attempted for certain players you designate. Division of Curriculum and Instruction School Improvement Department Texarkana Independent School District
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