"Group of linear inequalities of one variable" PPT courseware 3

Description

"Group of linear inequalities of one variable" PPT courseware 3

Knowledge review

1. The definition of a group of linear inequalities of one variable

2. Solution set of linear inequalities of one variable

3. Methods for solving simple linear inequalities of one variable

(1) Find the solution set of each inequality in the inequality group

(2) Find the solution set of each inequality in the inequality group

(3) Based on the common parts of the solution sets of several inequalities, write the solution set of this inequality group.

Do you still remember the formula for solving the set?

If the same size is the same, choose the big one. If the same size is the same, choose the small one. Find the middle one.

Big and small, there is no solution

learning target

Knowledge and skills:

1. Learn to use linear inequalities of one variable to solve practical problems.

2. Skillfully use the number line to find solutions to practical problems that meet the meaning of the question.

Process and methods:

Able to list and solve linear inequalities of one variable based on inequality relations in simple practical problems.

Emotional attitudes and values:

Feel the role of combining ideas with numbers and shapes, cultivate students' ability to analyze and solve problems, and develop preliminary modeling abilities.

learn new knowledge

Read the textbook and answer the following questions:

1. In the textbook, what words express unequal relationships? _______.

2. In the textbook, which sentences are used to derive the inequalities? _______.

3. Try to list the group of linear inequalities of one variable: _______.

4. Try to find the solution set of the linear inequalities of one variable _______.

[Discover the steps to solve word problems using linear inequalities of one variable]

1. Construct an inequality group

The conditions for establishing an inequality group are: it is known that the problem to be solved satisfies several conditions at the same time, and when these conditions are ________, ________ is naturally introduced.

2. Correctly solve groups of linear inequalities of one variable

Find the solution set and use the number line to mark the solution set and check whether it meets the meaning of the question.

Practice in class

1. There is a batch of pencils distributed to several children. Each child is given 5 pencils, and there are 2 pencils left. If each child is given 6 pencils, then the last child is given less than 2 pencils. Find the number of children and the number of pencils.

2. The tens digit of a two-digit number is 2 less than the ones digit. If the two-digit number is greater than 21 and less than 36, find the two-digit number.

3. Divide the two baskets of apples to two teams, A and B. One person in class A is allocated 6 apples, and each of the others is allocated 13 apples. One person in class B is allocated 5 apples, and each of the others is allocated 13 apples. 10. If the number of apples in the two baskets is the same and is greater than 100 but not more than 200, how many people are there in Class A and Class B?

summary:

List the steps for solving word problems using linear inequalities of one variable:

(1) Review the question, analyze what is known, what is sought, and clarify the relationship between the quantities;

(2) Assume unknown numbers;

(3) Find all inequality relations and list inequality groups;

(4) Find the solution set of the inequality group;

(5) Write an answer that fits the meaning of the question.

Suppose, list, solve, answer.

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Update Time: 2024-11-16

This template belongs to Mathematics courseware Qingdao Edition Eighth Grade Mathematics Volume 2 industry PPT template

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