"Understanding Ratio" Comparison and Proportion PPT Courseware

Description

"Understanding Ratio" Comparison and Proportion PPT Courseware

teaching objectives

1. Combined with specific examples, go through the process of understanding and comparing.

2. Understand the meaning of ratio and ratio, and know the relationship between each part of ratio and the parts of division and fraction; be able to write the ratio of two numbers, and be able to calculate the ratio.

3. Feel the close connection between mathematics and life, and be full of curiosity about comparative knowledge.

Mix cement mortar.

Observing the situation map, what did you find?

Is there any other way to express the relationship between cement and sand?

The relationship between 1 kilogram of cement and 3 kilograms of sand can be expressed as:

A representation like this is called ratio.

1:3, pronounced as 1 to 3.

It's called Bihao.

The relationship between 3 kilograms of sand and 1 kilogram of cement can be expressed as:

3:1, pronounced as 3 to 1.

5 to 4 Writing: 5:4

When writing, you should write the number before the ratio sign first, and then the number after the ratio sign. The order cannot be reversed.

Talk about it

What does the quality of white paint have to do with the quality of blue paint?

The relationship between the quality of white paint and blue paint can also be expressed as a ratio:

The mass ratio of white paint to blue paint is: 6:3, pronounced 6:3.

The mass ratio of blue paint to white paint is: 3:6, pronounced 3:6.

6：3＝6÷3＝2

3：6＝3/6=1/2

Ratio means dividing two numbers. The result of dividing two numbers is called the ratio.

The difference between ratio, division, and fractions

(1) Different meanings.

A ratio represents a relationship between two quantities (or numbers); division is an operation; and a fraction is a number.

(2) The expression methods are different.

Ratio: a:b (b≠0); division a÷b (b≠0); fraction a/b (b≠0).

(3) The results are different.

Division generally requires quotient; ratio can be calculated only when the ratio is required; and fraction itself is a numerical value and does not require calculation.

practice

1. Honghong, Yaya, Liangliang and Congcong did lazy exercises, each throwing 10 times. The results are in the table below. Write the ratio of their field goals made to their field goal attempts.

Indicate the ranking according to their scores.

2. Use 8 kg of fruit sugar and 12 kg of milk sugar to prepare an assorted sugar. Write the mass ratio of fruit sugar and milk sugar in this assorted candy and find the ratio.

8:12

3. There are 6 geese and 18 chickens.

(1) Write the ratio of the number of geese and chickens, and find the ratio.

6:18

(2) Write the ratio of the number of chickens and geese, and find the ratio.

18:6

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Update Time: 2024-11-24

This template belongs to Mathematics courseware Hebei Education Edition Sixth Grade Mathematics Volume 1 industry PPT template

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