"Application of linear equations of one variable - chasing Xiao Ming" PPT download of linear equations of one variable

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"Application of linear equations of one variable - chasing Xiao Ming" PPT download of linear equations of one variable

Part One: Learning Objectives

1. Learn to use line segment diagrams to analyze travel problems, find equivalent relationships, and establish mathematical models. (Difficulty)

2. Be able to use the relationship between speed, distance and time in the journey to solve word problems. (Key points)

Applying linear equations of one variable to catch up with Xiao Ming’s PPT, part 2: introducing new lessons

Simulation test

Xiao Ming and Xiao Hua are 10 meters apart. They start at the same time and walk towards each other. Xiao Ming walks 3 meters per second and Xiao Hua walks 4 meters per second. Can they meet? How many seconds will it take to meet?

Equivalent relationship:

The distance Xiao Ming walked + the distance Xiao Hua walked = the distance apart

The formula used: distance = speed × time

Using linear equations of one variable to catch up with Xiao Ming’s PPT, the third part: teaching new courses

The relationship between speed, distance and time

1. If Jerry’s speed is 6 meters/second, then he traveled ________ meters in 5 seconds.

2. If Tom's speed is 7 meters/second, it will take ________ seconds to catch Jerry, who is eating food and is unprepared at a distance of 14 meters.

3. If Jerry wants to eat the cheese placed 30 meters ahead of Tom within 4 seconds, then he must run at least ________ meters per second.

Analysis of classic examples

Example 1 The elder brother goes to school on average, walking 90 steps per minute, each step is 75cm long, and takes 16 minutes to get to school; the younger sister goes to school along the same road, walking 100 steps per minute, and each step is 60cm long, then the time it takes for the younger sister to get to school is ____ _minute.

[ Analysis

Example 2 The time it takes a steamboat to sail from point A to point B along the current is 1.5 hours less than from point B to point A against the current. It is known that the speed of the ship in still water is 18 kilometers/hour, and the speed of the water flow is 2 kilometers/hour. Find the distance between places A and B?

Analysis: This question is an itinerary problem, so there are:

Distance = average speed × time;

Time = distance ÷ average speed.

But when it comes to water flow speed, you must master:

Speed ​​along the current = boat speed + water speed;

Speed ​​against the current = boat speed - water speed.

Apply linear equations of one variable to catch up with Xiao Ming’s PPT, part 4: practice in class

1. Two people A and B are practicing a race. A runs 4 meters per second, and B runs 6 meters per second. A runs for 10 seconds first, and B starts running. Assume that B catches up with A after x seconds, and the equation according to the question is ( )

A. 6x =4x B. 6x=4x+40

C． 6x= 4x-40 D. 4x+10=6x

2. Car A is 500 kilometers ahead of car B and sets off at the same time with speeds of 40 kilometers per hour and 60 kilometers per hour. How many hours will it take for car B to catch up with car A? Suppose car B catches up with car A after x hours, then the correct equation listed below is ( )

A.60x=500 B.60x=40x-500

C .60x=40x+500 D.40x=500

3. The distance between stations A and B is 450 kilometers. A local train leaves from station A and travels 65 kilometers per hour. An express train leaves from station B and travels 85 kilometers per hour. Suppose two cars leave at the same time and travel in the same direction. How many hours will it take for the fast car to catch up with the slow car? The equivalent relationship is: the distance of the express train = the distance of the local train + the distance between stations A and B

4. Places A and B are 27 kilometers apart. Two people, A and B, start from places A and B at the same time and go towards each other. It is known that A’s speed is 4 kilometers/hour and B’s speed is 5 kilometers/hour. / hour, then two people A and B will meet in ___ hours.

Apply linear equations of one variable to catch up with Xiao Ming’s PPT, part 5: Class summary

Basic steps to resolve travel issues:

Known conditions of the problem

Draw line segment graph

Find the equivalence relationship

Make equations and solve them

answer

Keywords: Beijing Normal University Edition seventh-grade mathematics PPT courseware free download, application of linear equations of one variable to catch up with Xiao Ming PPT download, linear equations of one variable PPT download, .PPT format;

For more information about the PPT courseware "Catching up with Xiao Ming using linear equations of one variable and applying linear equations of one variable", please click on the PPT tag of "Catching up with Xiao Ming using linear equations of one variable PPT".

"Application of linear equations of one variable - chasing Xiao Ming" PPT courseware download of linear equations of one variable:

"Catching up with Xiao Ming by applying linear equations" PPT courseware download of linear equations Part 1: Knowledge points Basic knowledge point 1 Opposing encounter problem 1. The distance between two stations AB is 335 km. A slow train runs from station A to station B every hour. 55 km slow train driving for 1 hour..

"Application of linear equations of one variable - chasing Xiao Ming" PPT teaching courseware of linear equations of one variable:

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"Application of linear equations of one variable - chasing Xiao Ming" PPT of linear equations of one variable:

"Catching up with Xiao Ming by applying linear equations of one variable" PPT on linear equations of one variable Part 1: Learning objectives 1. Be able to analyze quantitative relationships in complex problems with the help of line segment diagrams, so as to list equations and solve problems. 2. Be familiar with the relationship between distance, speed and time in itinerary problems..

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Update Time: 2024-09-12

This template belongs to Mathematics courseware Beijing Normal University Edition Seventh Grade Mathematics Volume 1 industry PPT template

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