"Magnification and reduction of graphics" proportion PPT

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"Magnification and reduction of graphics" proportion PPT

Part One: Learning Objectives

1. Understand the phenomenon of enlargement and reduction of graphics, master the method of enlarging or reducing graphics, and appreciate the similarity of graphics. (emphasis)

2. Able to enlarge or reduce simple graphics according to a certain ratio on graph paper. (difficulty)

3. Experience the process of enlarging and reducing graphics through observation, understanding, hands-on operations and other activities, and feel the application of graphics enlarging and reducing in daily life.

Magnification and reduction of graphics PPT, part 2: review import

(1) The ratio of the distance on a picture to the actual distance is called the scale of the picture.

(2) A scale where the first term is 1 is a reduced scale, and a scale where the latter term is 1 is an enlarged scale.

Magnification and reduction of graphics PPT, part 3: exploring new knowledge

Knowledge point 1. Magnification and reduction of graphics

Have you seen the following phenomena? Which of these phenomena are magnifications of objects? Which ones shrink objects?

The shape does not change, the size does.

Knowledge refining

The enlargement and reduction of graphics is a common phenomenon in life. Compared with the original graphics, the graphics obtained after enlarging or reducing a graphics only change in size and remain unchanged in shape.

Knowledge point 2: How to enlarge or reduce graphics according to a certain ratio on graph paper (key point)

Magnifying according to 2:1 means enlarging the length of each side to twice the original length.

If the two right-angled sides of a triangle are enlarged to twice their original size, will the hypotenuse also become twice their original size?

What else did you discover?

If the enlarged square is reduced to 1:3, the rectangle is reduced to 1:4, and the triangle is reduced to 1:2, what will happen to each figure?

Knowledge refining

There are three steps to enlarging or reducing a figure according to a certain ratio on graph paper: first, look at how many squares each side of the original figure occupies; second, calculate, after enlarging or reducing each side of the figure according to a given ratio. Each side of the obtained new figure occupies a certain number of squares; draw three and draw an enlarged or reduced image of the original figure according to the calculated length of each side.

Magnification and reduction of graphics PPT, Part 4: Consolidation exercises

1. Which of the following figures is the figure obtained by enlarging figure A according to 2:1?

2. Select the proportion to draw the figure yourself, enlarge triangle A to get triangle B, then reduce triangle B to get triangle C.

(1) Which triangles can be obtained by enlarging A?

(2) Which triangles can be obtained by reducing B?

(3) Observe triangles A and B. How do their areas change? Do area and side length change in the same ratio?

3. Fill in the blanks.

(1) The enlargement and reduction of graphics means to enlarge or reduce each side of the figure according to the same ( ). After the enlargement or reduction of the figure, only ( ) changes, ( ) does not change.

(3) Draw a rectangle with a length of 8 cm and a width of 6 cm on the drawing paper according to 2:1. The length on the drawing paper is ( ) cm and the width is ( ) cm.

4. True or false questions. (Pick “√” if it’s correct, “×” if it’s wrong)

(1) After enlarging the trapezoid, the length of each side increases, but the degree of the internal angle does not change. ( )

(2) After a square is enlarged 4:1, the perimeter and area are expanded to 4 times the original size. ( )

Magnification and reduction of graphics PPT, Part 5: Class summary

What knowledge have you learned in this class?

The enlargement and reduction of graphics is a common phenomenon in life. Compared with the original graphics, the graphics obtained after enlarging or reducing a graphics only change in size and remain unchanged in shape.

There are three steps to enlarging or reducing a figure according to a certain ratio on graph paper: first, look at how many squares each side of the original figure occupies; second, calculate, after enlarging or reducing each side of the figure according to a given ratio. Each side of the obtained new figure occupies a certain number of squares; draw three and draw an enlarged or reduced image of the original figure according to the calculated length of each side.

Magnification and reduction of graphics PPT, Part 6: Homework

Assignment 1: Preview the next lesson.

Assignment 2: Complete the exercises corresponding to the detailed explanations in the textbook.

Keywords: Free download of PPT courseware for mathematics in the second volume of the sixth grade of the People's Education Press, download of the magnification and reduction of graphics PPT, download of proportion PPT, .PPT format;

For more information about the "Enlargement and Reduction of Proportional Graphics" PPT courseware, please click the "Enlargement and Reduction of Proportional PPT Graphics" PPT tab.

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Update Time: 2024-10-19

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