"Finding what percentage of one number is another number" PPT courseware for the application of percentages

Description

"Finding what percentage of one number is another number" PPT courseware for the application of percentages

teaching objectives

1. Combined with specific examples, experience the process of independently solving slightly complex practical problems of calculating percentages.

2. Will solve simple two-step calculation problems of finding what percent of one number is another number.

3． Feel the role of percentages in describing things, gain successful experience in solving problems independently, and cultivate mathematical application awareness.

By what percentage did Guangming Primary School save electricity in April compared to March?

Method 1: First find out the electricity consumption saved in April compared with March.

860 - 817 = 43 (kWh)

Then find out what percentage of the electricity consumption saved in April compared with March was in March.

43 ÷ 860 = 0.05 = 5%

Answer: Guangming Primary School used 5% less electricity in April than in March.

Method 2: First find out what percentage of electricity consumption in April accounts for March.

817 ÷ 860 = 0.95 = 95%

Then use "unit 1" to subtract the percentage of electricity consumption in April that was in March.

1-95% = 5%

Answer: Guangming Primary School used 5% less electricity in April than in March.

In conclusion

1. To find out how many percent one number is less than another number is actually to find out how many percent the difference between two numbers accounts for in another number (i.e. the unit "1").

2. Problem solving method:

Use A to represent one number and B to represent another number.

What percent is B less than A:

(A-B)÷A or 1-B÷A.

In conclusion

1. To find out how many percent one number is greater than another number is actually to find out how many percent the difference between two numbers accounts for in another number (i.e. the unit "1").

2. Problem solving method:

Use A to represent one number and B to represent another number.

How many percent more A than B:

(A-B)÷B or A÷B-1.

practice

1. (1) A certain automobile manufacturer planned to produce 750 cars in September, and actually completed 108% of the plan. How many more cars were actually produced than planned?

750×108%-750

=810-750

=60 (vehicles)

Answer: The actual production was 60 more cars than planned.

(2) A certain automobile manufacturer planned to produce 750 cars in October, but actually produced 135 more cars than planned. What percent of the plan was actually completed?

(750+135)÷750

=885÷750

=118%

Answer: 118% of the plan was actually completed.

(3) A certain automobile manufacturer planned to produce 750 cars in November, but actually produced 870 cars. By how much did actual output exceed plan?

870÷750-1

=1.16-1

=16%

Answer: Actual production exceeded plan by 16%.

2. A refrigerator factory planned to produce 800 refrigerators in May, but actually produced 940 units. By how much did actual output exceed plan? What percent of actual output is planned?

(940－800)÷800 940÷800

＝140÷800＝1.175

=17.5% =117.5%

Answer: The actual output exceeded the plan by 17.5%; the actual output was 117.5% of the plan.

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Update Time: 2024-09-04

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

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