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书名 | 培养数学能力的途径(第2版)(英文)/国外优秀数学著作原版系列 |
分类 | 科学技术-自然科学-数学 |
作者 | (美)大卫·索贝奇//布莱恩·默瑟 |
出版社 | 哈尔滨工业大学出版社 |
下载 | ![]() |
简介 | 内容推荐 本书主要包括计算百分比,使用电子表格、手工创建和解释饼图的方法,如何找到适合你自己的学习方法,将乘法解释为重复加法的方法,区分线性增长和指数增长的方法,如何区分输入(自变量)和输出(因变量),找到自己学习过程中的问题并改变思考方法,协调工作、识别直接变化的数量,找到通向成功的路径等内容。 目录 Unit 1: NUMERIC DATA: VISUALIZE AND ORGANIZE Lesson 1-1 Where Does the Time Go? 1.Analyze personal time management for a week of activities. 2.Solve problems involving percentages. 3.Create and interpret pie charts. 4.Create and interpret bar graphs. Lesson 1-2 Do You Have Anything To Add? 1.Identify circumstances where addition or subtraction is possible. 2.Add or subtract quantities. Lesson 1-3 It's About Accumulation 1.Interpret multiplication as repeated addition. 2.Multiply or divide quantities. Lesson 1-4 Avoiding Empty Pockets 1.Distinguish between simple interest and compound interest. 2.Distinguish between linear and exponential growth. 3.Interpret exponents as repeated multiplication. 4.Simplify numeric expressions involving exponents and the order of operations. Lesson 1-5 ACoordinated Effort 1.Use a rectangular coordinate system. 2.Connect data to graphs. 3.Interpret graphs. Lesson 1-6 What are the Chances? 1.Compute and interpret basic probabilities. 2.Translate a probability to a percent chance. 3.Recognize the difference between theoretical and empirical probability. Lesson 1-7 Debt: Bad.Chocolate: Good 1.Convert numbers between decimal and scientific notation. 2.Describe the significance of writing numbers in scientific notation. Lesson 1-8 What's Your Type? 1.Analyze how your personality type affects how you interact with others. 2.Create and interpret Venn diagrams. 3.Describe sets using appropriate terminology. Lesson 1-9 News in the Data Age 1.Explain the difference between a population and a sample. 2.Organize data with frequency distributions and histograms. 3.Analyze data with stem and leaf plots. Language and Symbolism Review Technology Review Learning Objective Review Unit 2: MAKING SENSE OF IT ALL Lesson 2-1 Did You Pass the Test? 1.Consider strategies for preparing for and taking math tests. 2.Understand the impact of a single question, or a single exam. 3.Calculate, interpret, and compare measures of average. Lesson 2-2 Ins and Outs 1.Distinguish between inputs (independent variables) and outputs(dependent variables). 2.Evaluate expressions and formulas. 3.Interpret expressions. Lesson 2-3 From Another Dimension 1.Determine units for area and volume calculations. 2.Use formulas to calculate areas and volumes. 3.Discuss important skills for college students to have. 4.Simplify expressions. Lesson 2-4 It Works Like Magic 1.Convert units using dimensional analysis. 2.Convert units within the metric system. 3.Convert rates of change. 4.Convert temperatures. Lesson 2-5 Take a Guess! 1.Identify the steps in a systematic problem-solving procedure, 2.Make educated guesses. 3.Compare numbers using inequality symbols, Lesson 2-6 It's All Relative 1.Compare change to relative change. 2.Apply percent error. Lesson 2-7 Is that Normal? 1.Identify the steps in computing standard deviation, and describe why they lead to a measure of variation. 2.Compute and interpret standard deviation. 3.Use a normal distribution to find probabilities. Lesson 2-8 Meeting Expectations 1.Estimate expected value experimentally. 2.Compute expected value. 3.Compute weighted grades and GPA. Language and Symbolism Review Technology Review Learning Objective Review Unit 3: THINKING LINEARLY Lesson 3-1 88 Miles Per Hour! 1.Interpret a rate of change. 2.Predict a future value from a rate of change. 3.Calculate a rate of change. 4.Find the intercepts of a line. 5.Interpret the meaning of the intercepts of a line. Lesson 3-2 ASnowJob 1.Write expressions based on given information. 2.Interpret algebraic expressions in context. 3.Evaluate and simplify expressi |
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