数学人教版七年级上册日历中的数学.doc

课题：日历中的数学Subject: Mathematics in Calendar 课时目标：（知识与技能）探索发现日历中数的规律，并能够用代数式和等式来表示这些规律。Class objectives: (knowledge and skill): To Explore and discover the law of the number in calendar; and be able to express it by Algebraic equations and equations. （过程与方法）通过游戏、观察，探索发现数的规律，利用代数式以及等式正确表示这些规律，并初步接触方程的思想。(process and method): To explore and discover the law of number through games and observation; to express these rules by Algebraic equations and equations correctly and get in touch with the idea of equation preliminary.（情感、态度、价值观）激发学习兴趣，建立起运用符号语言表达数学思想的意识和习惯(emotion, attitude, values): To stimulate interest in learning; to establish the awareness and habit of using the symbolic language to express ideas.学习过程：Learning Procedures: 【试】1.课前准备一张日历【Test】1. Prepare a deck of playing cards and a calendar before class.2猜谜语知课题： （一、二组猜） （三、四组猜）一物生来真稀奇， 庄严立墙壁，身穿三百多件衣， 每天换新衣，每天给他脱一件， 旧的随手扔，年底剩下一张皮。 叫人争朝夕。 谜底： 2.Get to know the subject by guessing riddles: （Team 1 and team 2 guess） （Team 3 and team 4 guess）Something is really rare to see stand stately on the wallwear more than three hundred clothes on him change new clothes everydaytake off one piece of clothing every day, drop old ones anywhere remain one cover at the end of the year warn people to cherish the day and night Answer: 【论】【Discussion】1观察：观察每个人手中各自的日历，你能发现哪些规律？1. Observation: Observe everybodys calendar in hand and what rules can you discover? 横行（Horizontal line）： 竖列（Vertical line）： 左斜（Left oblique）： 右斜（Right oblique）： 对角（Opposite angles）： 2运用规律解决问题 2. Using the law to solve problems问题1：写出下列日历中字母A、B、C的值Problem 1: Write the number of the letters A, B, and C in the following calendarC14ABA= B= C= 如果14改成字母m呢？问题2：日历中同一竖列相邻三个数的和为60，问这三天分别是几号？（哪种设字母的方式简单？）方法一： 方法二： 方法三：追问1、这三个相邻数的和可以是40吗？为什么？必须是 的倍数 追问2、是 的倍数就可以了吗？和可以是75吗？可以是21吗？ 追问3、探究和的最小值和最大值可能是多少？Problem 2: The sum of three adjacent numbers in the same vertical line in the Calendar is 60, what are the dates of these three days respectively? (Which way is the simplest?) Method 1: Method 2: Method 3:Question 1: Can the sum of these three adjacent numbers be 40? Why? Must be a multiple of Question 2: Is it ok only a multiple of ? Can the sum be 75? How about 21? Question 3: Explore what the minimum and maximum of the sum are.【示】【Demonstration】比一比：四个小组分别完成不同的题，看哪个组完成的好Lets compete: Four teams finish different questions respectively and to see which team does the best.第一组“十”字型 第二组“H”型 日历中“十”字型五个数和为80，填下表 日历中“H”型七个数和为63，填下表 Team 1 “十” patter Team2 “H” pattern In Calendar “十” pattern, make the five numbers sum up to 80, In calendar ”H” pattern, make the seven numbers sum up to 63, and fill in the following table and fill in the following table 第三组3*3格 第四组“平行四边”型 日历中3*3型九个数和为126，填下表 日历中“平行四边”字型九个数和为144，填下表Team 3 3*3 lattice Team 4 “Parallelogram” pattern In Calendar 3*3 lattice, make the nine numbers sum up to 126, In calendar “Parallelogram” pattern, make the seven numbers sum up to 144,and fill in the following table, and fill in the following table, 追问1、：这些数的和分别是中间数的多少倍？Question 1: How many times is the sum of these numbers to the middle number?【练】拓展训练(Extended training:)1357911131517192123252729313335373941434547观察这组数的规律，思考十字框住的5个数之和能等于2000吗？2008呢？2015呢？若能，请写出这五个数。Observe the law of this group of numbers, and thin