"Use Proportions to Solve Problems" Proportion PPT Download

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"Use Proportions to Solve Problems" Proportion PPT Download

Part One: Learning Objectives

Able to correctly judge whether two quantities in a situation are directly proportional or inversely proportional, and be able to use the meaning of direct proportion or inverse proportion to solve practical problems.

In the process of experiencing problem-solving, develop the ability to analyze and solve problems.

Learn to think about problems from different perspectives, understand the connection and difference between "arithmetic method" and "proportional method", and develop the ability to solve problems with multiple strategies.

Use proportion to solve problems PPT, part 2: review

Determine whether the two quantities in each question below are proportional? In what proportion? and explain the reasons.

The speed is certain, the distance and time are

The total price is certain, unit price and quantity

Use proportion to solve problems PPT, the third part: interpretation of examples

Our family used 8 tons of water last month, and the water bill was 28 yuan.

Our family uses 10 tons of water.

How much was Grandma Li’s water bill last month?

To solve the problem of water bills, you need to know the unit price of water and the amount of water used.

Although the unit price of water is not known, it is certain.

Aunt Zhang: Our family used 8 tons of water last month, and the water bill was 28 yuan.

Grandma Li: Our family uses 10 tons of water.

How much was Grandma Li’s water bill last month?

I first calculate the price per ton of water, and then how much 10t of water costs.

The price of water per ton is fixed, and the water fee is directly proportional to the ton of water used.

In other words, the ratio between the water charges and the tonnage of water used by both companies is the same.

Use proportion to solve problems PPT, Part 4: Summary

Steps to solve problems using proportion knowledge

(1) Analyze the meaning of the question, find two related quantities, and determine whether and what proportion they are;

(2) List equations according to the meaning of direct proportion or inverse proportion;

(3) Solve the equation (check after solving) and write the answer.

How to judge positive and negative proportions

(1) Find variables: analyze quantitative relationships and find two related quantities;

(2) Look at quantification: analyze these two related quantities to see whether the relationship between them is a certain quotient or a certain product;

(3) Judgment: If the quotient is certain, it is directly proportional;

If the product is constant, it is inversely proportional;

If both the quotient and the product are not quantitative, they are not proportional.

Use proportion to solve problems PPT, Part 5: Quiz in class

1. Xiao Ming bought 4 ball-point pens for 6 yuan. Xiao Gang wanted to buy 3 of the same ball-point pens. How much would it cost?

2. Xiaolan’s height is 1.5m, and her shadow length is 2.4m. If the shadow length of a tree is measured to be 4m at the same time and place, how tall is the tree?

3. There are two kinds of ballpoint pens in the school store. Xiao Ming has just enough money to buy 4 pens with a unit price of 1.5 yuan. If he only buys the one with a unit price of 2 yuan, how many pens can he buy?

4. The ratio of the bottom areas of two cylindrical containers A and B is 4:3. The water depth in container A is 7cm, and the water depth in container B is 3cm. The same amount of water is poured into the two containers until the water depths are equal. At this time, A How many centimeters does the water level in the container rise?

Use proportion to solve problems PPT, Part 6: Homework

1. Select from the after-class exercises;

2. Complete the exercises in this lesson in the exercise book.

Keywords: Free download of PPT courseware for sixth grade mathematics volume 2 of the People's Education Press, PPT download for solving problems using proportions, download of proportion PPT, .PPT format;

For more information about the PPT courseware "Proportions Use Proportions to Solve Problems", please click on the Proportions PPT Use Proportions to Solve Problems PPT tab.

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Update Time: 2024-10-02

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