Math 7B, Lesson 13, Spring 2022, 5/22/2022

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Chapter 13, Volumes and Surface Areas of Solids

13.1Volumes and total surface areas of a cube and a cuboid

  • concept of net

        A net of a solid is a plane figure that can be folded up to form the solid.

  • volume and total surface

        The volume of cube = x*x*x
        The total surface area of cube = 6x*x
        where x is the length of a side of the cube

        The volume of cuboid = Length x Width x Height = l*w*h
        The total surface area of cuboid = 2*(lw + lh + wh)

  • HW
    • handout: two pages
    • workbook: page 35, #1, #2, #3

Math 7B, Lesson 12, Spring 2022, 5/15/2022

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Exam on Chapter 12 Perimeters and Area of Plane Figures.

Math 7B, Lesson 11, Spring 2022, 5/8/2022

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Chapter 12.5 Perimeters and Areas of Composite Plane Figures

There are many shapes around us that are formed by joining two or more basic geometric shapes. Their perimeters and areas can be found by applying the formulas for the basic shapes.

Lots of examples in the classroom.

HW assignment

Handout:

  • two pages

Workbook:

  • page 28: 9, 10
  • page 29: 13, 14
  • page 31: 19, 20
  • page 33: 25
  • page 34:28

Math 7B, Lesson 10, Spring 2022, 5/1/2022

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Chapter 12 Perimeters and Area of Plane Figures

12.3 Area of a parallelogram

A lot of examples in class.

12.4. Area of a trapezoid

A lot of examples in class.

Home Assignment:

Handout: 

  • 5 pages

Workbook: 

  • page 26, #6
  • page 27, #7, #8

Math 7B, Lesson 9, Spring 2022, 4/11/2022

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Note: Class rescheduled from 3:40PM on Sunday to 7:00PM on Monday, 4/11/2022.

Exam on chapter 11 — Inequalities.

Math 7B, Lesson 8, Spring 2022, 4/3/2022

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Chapter 12 Perimeters and Area of Plane Figures

12.1  Perimeters and Area of a square, a rectangle, and a triangle

A lot of examples in class.

12.2. Circumference and area of a circle

A lot of examples in class.

Home Assignment:

Handout: 

  • 4 pages

Workbook: 

  • page 25, #1, #2, #3, #4;
  • page 26, #5

Math 7B, Lesson 7, Spring 2022, 3/27/2022

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Chapter 11.4 Applications of Simple Inequalities.

Problem-solving Strategy

1. Read the question carefully. Identify the unknown quantity.
2. Use a letter, say x, to represent the unknown.
3. Express some other quantities in the question in terms of x.
4. Set up an inequality using the given information.
5. Solve the inequality.
6. Write down the solution of the problem in words.

A lot of examples in class.

HW Assignment

  • Handout: two pages
  • Workbook: page 20-22, problem #19 – #30.

Math 7B, Lesson 6, Spring 2022, 3/20/2022

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Chapter 11.2 More Properties of Inequalities & Chapter 11.3 Simple Linear Inequalities

1. For any two numbers, and b, one and only one of the following relationships holds:

  • a < b
  • a = b
  • a > b

2. If a < b and b < c, then a < c

3.  When a number is added to or subtracted from both sides of an inequality, the inequality holds.

  • If a < b, then a + k < b + k

4. When both sides of an inequality are multiplied by a non-zero number k, the inequality holds for k > 0, but the inequality sign is reversed for k < 0.

  • if a < b and k >0, then ka < kb
  • if a < b and k < 0, then ka > kb

5. We can apply the properties of inequalities learned in the previous sections to solve simple linear inequalities in one variable, such as

  • 3x + 5 < 17
  • 4x -9 > 7x + 8
  • represents the solution on a number line

6. HW assignment

  • handout: 1 page
  • workbook: page 18:#7, #8, #9; page 19: #14, #15, #16, #17, #18

1. For any two numbers, and b, one and only one of the following relationships holds:

  • a < b
  • a = b
  • a > b

2. If a < b and b < c, then a < c

3.  When a number is added to or subtracted from both sides of an inequality, the inequality holds.

  • If a < b, then a + k < b + k

4. When both sides of an inequality are multiplied by a non-zero number k, the inequality holds for k > 0, but the inequality sign is reversed for k < 0.

  • if a < b and k >0, then ka < kb
  • if a < b and k < 0, then ka > kb

5. We can apply the properties of inequalities learned in the previous sections to solve simple linear inequalities in one variable, such as

  • 3x + 5 < 17
  • 4x -9 > 7x + 8
  • represents the solution on a number line

6. HW assignment

  • handout: 1 page
  • workbook: page 18:#7, #8, #9; page 19: #14, #15, #16, #17, #18

Math 7B, Lesson 5, Spring 2022, 3/13/2022

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Chapter 11 Inequalities

Chapter 11.1 Solving Simple Inequalities
1. Idea of inequality

  • An inequality is a statement that indicates that one quantity is less than or greater than another. You can write inequalities using symbols such as ” <“, “> “, “<=”, or “>=”.
  • 3x < 10
  • x < 10/3 All values of x that satisfy the inequality above are called the solutions of the inequality.

2. Solving an inequality

  • In class, explore the properties of simple inequalities.
  • If a > b and k > 0, then ka > kb
  • if a < b, and k > 0, then ka < kb
  • Lot’s of examples and exencise in class.

3. HW:

  • Handout: 2 pages
  • Workbook: page 17, #1, #2, #3, #4; page 18, #5, #6

Math 7B, Lesson 4, Spring 2022, 3/6/2022

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Exam: coordinates and linear graphs.

Review materials and exam page are in the Google Classroom.