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PART ONE  \nBENCHMARK MEDIA, 2001 Grade Levels: 7-9  \n19 minutes  \n1 Instructional Graphic Enclosed  \n\n| DESCRIPTION |\n| --- |\n| While making a cake, a teenage cook teaches the algebraic concepts of a variable numerical substitution, omission of the multiplication sign, and other basic terms. Pauses for viewer problem-solving. |\n| ACADEMIC STANDARDS |\n| Subject Area: Mathematics\u003Cbr>􀂐 Standard: Understands and applies basic and advanced properties of functions and algebra\u003Cbr>• Benchmark: Knows that an expression is a mathematical statement using numbers and symbols to represent relationships and real-world situations (e.g. , equations and inequalities with or without variables) (See Instructional Goal \\#4.)\u003Cbr>• Benchmark: Understands that a variable can be used in many ways (e.g. , as a placeholder for a specific unknown, such as x + 8 = 13; as a representative of a range of values, such as 4t + 7) (See Instructional Goals \\#1 and 2.)\u003Cbr>• Benchmark: Understands various representations (e.g. , tables, graphs, verbal descriptions, algebraic expressions, Venn diagram) of patterns and functions and the relationships among them (See Instructional Goal \\#4.)\u003Cbr>• Benchmark: Understands the basic concept of a function (i.e. , functions describe how changes in one quantity or variable result in changes in another) (See Instructional Goal \\#4.) |\n| INSTRUCTIONAL GOALS |\n| 1. To explain the concept of a variable.\u003Cbr>2. To show how numbers can be substituted for variables.\u003Cbr>3. To point out several algebraic conventions such as the omission of the multiplication sign and the writing of division as a fraction.\u003Cbr>4. To develop algebraic formulas from number patterns. |\n| BACKGROUND INFORMATION |\n\nSince the 16th century, variables and formulas have been the key concepts and instruments of algebra. Formulas offer an easy example of connected variables and therefore provide a helpful preparation for the further study of functions. In this video, mathematical formulas are  \n1  \nCaptioned Media Program  \nVOICE (800) 237-6213 TTY (800) 237-6819 FAX (800) 538-5636 [EMAIL](EMAIL info@cfv.org)[ info@cfv.org](EMAIL info@cfv.org) [WEB](WEB www.cfv.org)[ www.cfv.org](WEB www.cfv.org)  \nFunding for the Captioned Media Program is provided by the U.S. Department of Education  \nrepresented through some real-life situations. Formulas, together with the related concepts of introducing variablesand solving equations, are a cornerstone for the further study of mathematics.  \n1. patterns  \n2. formula  \n3. convention  \n4. input  \n5. output  \n6. variable  \n7. kilogram  \n8. quarter  \n1. Distribute three pieces of candy to each student.  \na. If there were only two students in the class, how many pieces of candy would each receive?  \nb. How many pieces would each receive if there were three students?  \nc. How many pieces would each receive if there were 15 students?  \n2. Write this problem on the board or overhead. John rode his bicycle 18 miles during the first day of his journey and then covered 15 miles every day after that.  \na. How many miles did he travel during the first two days?  \nb. How many miles did he cover during the first three days?  \nc. How many miles did he cover during the first six days?  \n3. Discuss sales taxes and their importance. The sales tax in one state is $8.75 on a $100 purchase.  \na. How much sales tax is paid on a $200 purchase?  \nb. How much sales tax is paid on a $500 purchase?  \n4. Write the following number sequences on the board or overhead and find the next three numbers. Determine the pattern.  \na. 1, 2, 3, 4,   ,   ,    \nb. 1, 3, 5, 7,   ,   ,    \nc. 2, 4, 6, 8,   ,   ,    \nd. 7, 6. 3, 5. 6, 4. 9,   ,   ,    \ne. 5, 13, 21, 29,   ,   ,    \nf. 24, 12, 6, 3,   ,   ,    \n5. Review the rules for the order of operations.  \n1. View the video more than once, with one showing uninterrupted.  \n2. Stop the video at each segment that displays a pausing prompt. Calculate and discuss the answers.  \n2  \nC","cbCaibXmJXf1yQkT","https://ap.wps.com/l/cbCaibXmJXf1yQkT","pdf",450836,6,"English","# Instructional Graphic Enclosed\n## Description\n## Academic Standards\n## Instructional Goals\n## Background Information\n## Before Showing\n## After Showing: Discussion Items and Questions\n## After Showing: Applications and Activities","[{\"question\":\"What algebra concepts are taught in Part One?\",\"answer\":\"The guide focuses on the meaning of a variable, substituting numbers for variables, and basic conventions such as dropping the multiplication sign and using fractions for division.\"},{\"question\":\"What types of practice problems appear in the guide?\",\"answer\":\"Students work on candy distribution, bicycle distance over days, sales tax calculations, number pattern extension, and review of order of operations.\"},{\"question\":\"What activities are included after watching the video?\",\"answer\":\"After-show items include discussions about why formulas are precise, how to write multiplication and division in algebraic form, choosing preferable formula formats, and creating applications using formulas with variables.\"}]","ALGEBRA: A PIECE OF CAKE! - PART ONE - Learn variable concepts and conventions | PDF",1790865896,15,{"code":4,"msg":81,"data":98},[99,103,107,110,115,119,124,129,134,137,141],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":100,"show_sort_weight":101,"slug":102},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":104,"show_sort_weight":105,"slug":106},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":108,"slug":109},70,"exam",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},5,"Comic",60,"comic",{"id":90,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},"Technology",50,"technology",{"id":120,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":122,"slug":123},7,"Healthcare",40,"healthcare",{"id":125,"doc_module":4,"doc_module_name":25,"category_name":126,"show_sort_weight":127,"slug":128},8,"Research & Report",30,"research-report",{"id":130,"doc_module":4,"doc_module_name":25,"category_name":131,"show_sort_weight":132,"slug":133},9,"Religion & Spirituality",20,"religion-spirituality",{"id":132,"doc_module":4,"doc_module_name":25,"category_name":135,"show_sort_weight":132,"slug":136},"World Cup","world-cup",{"id":138,"doc_module":4,"doc_module_name":25,"category_name":139,"show_sort_weight":138,"slug":140},10,"Lifestyle","lifestyle",{"id":142,"doc_module":4,"doc_module_name":25,"category_name":143,"show_sort_weight":111,"slug":144},19,"General","general"]