课程信息:解数学应用题之思路及技巧 (Analysis and Technics for Solving Math Word Problems)

招生对象 (Prospective Students)

六至七年级学生.
Grade 6 or Grade 7 Students

七年级以下学生数学基础很好,谨慎报名。
For those under Grade 7 students, with solid math backgrounds might be a factor in registering for the course.

教学目标 (Teaching Objectives)

解决数学应用题解题难问题。 培养数学应用题解题的能力。
Make math word problem solving easy to learn. Develop math word problem-solving
skills

课程内容 (Content Covered)

精选美国、中国、新加坡教材中习题及考题。题目由浅入深,处理方法独到。解法直观、简洁、清晰。

The problems are from a featured collection of textbooks and exam problems from the US, China, and Singapore. The arrangements are to go from easy to difficult or even challenging ones. The approaches are simple, intuitive, and elegant。

教学方法 (Teaching Method)

  1. 例题示范,提问、讨论。
    Demonstrate examples, ask questions, and discuss.
  2. 课堂练习,检查理解。
    Class exercises to check comprehension.
  3. 课后练习,巩固。
    Practice after class to consolidate.

使用教材 (Teaching Materials)

暂用 16 节课的课程讲义。
Temporarily use handouts for 16 lessons based on the upcoming book “Math Word Problems in Plain English.”

课程详细内容 (The detailed table of content)

Section 1. Essential skills

  1. Ratios, proportions and fractions
  2. Count, undercount and overcount
  3. Goldilocks problems (excess, shortfall, just right)
  4. Direct variation
  5. Inverse variation
  6. Some often used tricks

Section 2. Age Problems

Section 3. “Work” Problems

Section 4. Mixtures Problems

  1. From counting methods to the ratio of mixtures
  2. Mixing liquids with different concentrations
  3. Diluting a liquid mixture
  4. Condensing a liquid mixture
  5. Other types of mixtures

Section 5. Uniform Motions

  1. Essential facts about uniform motions and examples
  2. Catching up, moving toward or away from each other
  3. Fixed distance
  4. Uniform motion with moving background
  5. Travel with different speeds during different periods
  6. Extra challenges

Section 6. Arithmetic Mean or Arithmetic Average

  1. Basic examples
  2. Weighted average

Section 7. Money: Commerce and Interest

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