Math 7, Lesson 11, Fall 2021, 12/5/2021

zhenli Posted in Teaching Plan
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Section 1:

Chapter 5.3 Simple Fractional Equations

Chapter 5.4 Forming Linear Equations to Solve Problems

1. Fractional equation: when the variable of an equation is in the denominations of a term, the equation is called fractional equation

6 /(x – 2) = 3

1/(x + 3) = 2/x

Note: it is important to check the solutions, that they can’t be those values that make a denominator of the original equation zero.

2. Constructing/Forming Linear Equations to Solve Problems

Two pages handout of teaching material. The steps involved in problem solving with linear equations are:

  • Step 1. Read the question carefully and identify the unknown quantity
  • Step 2. Use a letter to represent the unknown quantity (e.g. x)
  • Step 3. Express other quantities in terms of x
  • Step 4. Construct/Form an equation based on the given information
  • Step 5. Solve the equation
  • Step 6. Write down the answer statement

3. Review basic concept of “open parenthesis”

  • 2(3x+y) – 5(0.2x-0.6y) =
  • -2(3x+y) + 5(0.2x-0.6y) =
  • -2(3x-y) + 5(-0.2x-0.6y) =
  • 2(3x-y) – 5(0.2x+0.6y) =

4.Homework:

  • Handout
    • Three pages
  • Workbook:
    • Page 30: 15, 16, 17, 18, 19, 20

Section 2:

1. Constructing/Forming Linear Equations to Solve Problems

The steps involved in problem solving with linear equations are:

  • Step 1. Read the question carefully and identify the unknown quantity
  • Step 2. Use a letter to represent the unknown quantity (e.g. x)
  • Step 3. Express other quantities in terms of x
  • Step 4. Construct/Form an equation based on the given information
  • Step 5. Solve the equation
  • Step 6. Write down the answer statement

2. Homework:

  • Handout
    • Two pages
  • Workbook:
    • Page 31: 21, 22, 23, 24, 25
    • Page 32: 26, 27, 28, 29

Math 7, Lesson 10, Fall 2021, 12/1/2021

zhenli Posted in Teaching Plan
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Make up class. Exam on Algebraic Manipulation.