Шаблон яркой презентации(пустой)№2

Lesson for Middle School

Multiplication

as Scaling

Scaling Superpower!

Multiplying Fractions and Whole

Numbers

Multiplication for Scaling

Lesson Outline

Introduction

Multiplication can make the number bigger or smaller.

Let's explore together how it works!

Multiplying Numbers

When we multiply a number by a whole number, the value of the number gets larger.

When we multiply a number by a fraction,

the value of the number gets smaller.

1

2

2

2 x 2

2 x

2

After getting one-half of the apple,

After multiplying the apples by 2,

the number of apples becomes 1.

the number of apples becomes 4.

Let’s Review

A fraction greater than 1

A fraction less than 1

has a numerator greater

has a numerator less

than the denominator.

than the denominator.

4

7

7

4

Multiplying by a Fraction greater than 1

3

4 x

= 6

4

2

3

Multiplying 4 by means having 3 groups of 4. Then, getting half of it.

2

Multiplying by a Fraction greater than 1

We can see that from 4, it increases to 6.

6

4

When we multiply a number by a fraction greater than 1, the number increases.

Multiplying by a Fraction less than 1

3

= 3

4 x

4

4

3

Multiplying 4 by means having 3 groups of 4. Then, getting the fourth of it.

4

Multiplying by a Fraction less than 1

We can see that from 4, it decreases to 3.

3

4

When we multiply a number by a number less than 1, the number decreases.

3

5

Which fractions, when multiplied from 10, will result in a higher number?

8

4

Which one will result

in a lower number?

2

9

5

10

Summary

In multiplying a number by a fraction,

if the fraction is less

if the fraction is greater than 1, the value

than 1, the value

will increase.

will decrease.

Assignment

Aside from visual models, what are

other ways to show the change

in values when a number is multiplied

by a fraction greater than or less than 1?

References

Mathspace. “8.02 Multiplication as scaling | Grade 5 Math | Common Core 5 - 2022 Edition.” Accessed 10 June 2023,https://mathspace.co/textbooks/syllabuses/Syllabus-

1091/topics/Topic-21216/subtopics/Subtopic-274739/?searchString=

Mathspace. “8.03 Fractions of a quantity | Grade 5 Math | Common Core 5 - 2022 Edition.” Accessed 10 June 2023, https://mathspace.co/textbooks/syllabuses/Syllabus-

1091/topics/Topic-21216/subtopics/Subtopic-274740/?searchString=

Mathspace. “8.04 Multiples of unit fractions| Grade 5 Math | Common Core 5 - 2022 Edition.” Accessed 10 June 2023, https://mathspace.co/textbooks/syllabuses/Syllabus-

1091/topics/Topic-21216/subtopics/Subtopic-274741/?searchString=

Mathspace. “8.05 Multiply fractions by whole numbers | Grade 5 Math | Common Core 5 - 2022 Edition.” Accessed 10 June 2023, https://mathspace.co/textbooks/syllabuses/Syllabus-

1091/topics/Topic-21216/subtopics/Subtopic-274742/?searchString=

Scaling Superpower!

Poster Making Activity

Instructions:

Introduce scaling through multiplication.

Design a poster illustrating how multiplying

a number by a fraction greater than 1 or

less than 1 affects the product's value.

Multiplying Fraction and Whole Numbers

Whiteboard Activity

What happens when we multiply a number by a fraction greater than 1?

• Add diagrams or illustrations. Label important parts
• Add diagrams or illustrations.
• Label important parts

Write a short explanation related to the illustration.

Place equations here.

Include a footer for references, legends, and other footnotes.

What happens when we multiply a number by a fraction less than 1?

• Add diagrams or illustrations. Label important parts
• Add diagrams or illustrations.
• Label important parts

Write a short explanation related to the illustration.

Place equations here.

Include a footer for references, legends, and other footnotes.

Let's explore the multiplication of fractions and whole numbers.

Find the product of the given values using the number line.

2

4 x

3

2

Step 1

Locate on the number line.

3

0

1

MARK THE

WHOLE NUMBERS

How many equal parts should 1 unit be divided into?

2

Step 2

Locate 4 x on the number line.

3

0

1

USE THE ARROWS TO EMPHASIZE THE NUMBER OF JUMPS

4 x

?

2

=

?

3

Thank You!

Let’s Recap:

• Add a main point here
• Add a main point here

Elaborate on what you want to discuss

• Add a main point here
• Add a main point here

Elaborate on what you want to discuss

• Add a main point here
• Add a main point here

Elaborate on what you want to discuss

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