Math 7B, Lesson 16, Spring 2022, 6/19/2022

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Final exam– covers chapter 13, all about net, cube, cuboid, prism, their volume, total surface, and unit conversion.

Math 7B, Lesson 15, Spring 2022, 6/12/2022

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13.3 Volumes and surface areas of composite solids

  • Conversion between different units
  • 1m = 100cm, square meters? cubic meters?
  • Composite solids
  • A solid can be made of two or more basic solids. We can dissect such a composite solid into some parts to find its volume and total surface area

Homework:

  • handout three pages
  • workbook: page 38-39, #16, 17, 18, 19

Math 7B, Lesson 14, Spring 2022, 6/5/2022

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13.2 Volume and Total Surface Area of a Prism

  • Prism
  • cross-section
  • uniform cross-section
  • base & height
  • lateral faces
  • the volume of prism = Base Area X Height
  • The total surface area of prism = Perimeter of the base X Height + 2 X Base-Area

Homework:

  • Handout: 3 pages
  • Workbook: page 35-37: 4, 5, 6; 11, 12, 13

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.