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Arithmetic Practice 61 ~ Problem 10 (5) Let's draw a graph ~ | Arithmetic for junior high school exam

Last time, I talked about "Arithmetic Practice 60-Problem 10 (5) Let's Draw a Graph-".

Consider the approximate shape of the graph.

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Problem 10 (5) (reposted)

Let's imagine a figure

Consider that the general shape of the figure is a "line graph", which is squeaky before and after each point.

There is a "significant change in tilt" before and after each point.

If you think of the arrow, you can see that "equilateral triangles are created one after another (continuously)".

If you enlarge the part that is squeaking,

Something is strange.

I agree.

It doesn't change so suddenly, it seems to change smoothly.

Even if you don't know the reason It is important to have a feeling of "something strange"Let's.

Let's connect smoothly

Now, let's connect each point smoothly.

It will be a curve.

This curve is called a "parabola".

When you throw a ball in the school playground, it draws a curve with a "pawn".

The curve of this parabola turned upside down is the shape of this graph.

Although it is outside the scope of elementary school, let's enjoy the movement of the ball in the school playground.

Reason for the shape of the graph

The point of this problem was not only to draw a graph, but to "write a reason".

A major feature of the graph,

・ Symmetry at the midpoint of the horizontal axis (same when folded)

・ Smooth connection at each point (before and after)

It is a good idea to write in your own words.

This issue is beyond the scope of elementary school students.

Therefore, I think some people think that this is not necessary.

For your reference, I would appreciate it if you could read it.

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