Exploring Grade 7 Math Concepts

The video tutorial covers the concept of scaled copies in seventh-grade math. It begins with an introduction to scaled copies, followed by class activities to identify them. Students learn to determine if images are scaled copies by comparing dimensions and using scale factors. The tutorial includes a homework assignment to reinforce these concepts. The final section involves solving math equations related to scaling, emphasizing multiplication and division to find scale factors.

What is a key characteristic of a scaled copy?

• It is always smaller than the original.

• It has the same size as the original.

• It has corresponding parts that increase or decrease by the same scale factor.

• It is always larger than the original.

Which of the following is NOT a term used to describe changes in scaled copies?

• Colored

• Slanted

• Diagonal

• Stretched

When comparing scaled copies, what should be consistent?

• The orientation of the shapes

• The number of shapes

• The scale factor for corresponding parts

• The color of the shapes

If a shape is 4 units tall and 2 units wide, which of the following dimensions would NOT be a scaled copy?

• 8 units tall and 4 units wide

• 2 units tall and 1 unit wide

• 6 units tall and 3 units wide

• 4 units tall and 3 units wide

What happens if a shape is stretched more in one direction than the other?

• It becomes a smaller scaled copy.

• It becomes a larger scaled copy.

• It becomes distorted and is not a scaled copy.

• It remains a scaled copy.

In the homework review, which figure was identified as NOT being a scaled copy due to being stretched vertically?

• Figure 4

• Figure 1

• Figure 2

• Figure 3

Why was Tyler's assertion about figure B being a scaled copy incorrect?

• He did not measure the height correctly.

• He only considered the height and not the width.

• He only considered the width and not the height.

• He did not measure the width correctly.

Which of the following is a correct scaled copy of a shape that is 4 units tall and 4 units wide?

• 4 units tall and 8 units wide

• 8 units tall and 4 units wide

• 4 units tall and 2 units wide

• 2 units tall and 2 units wide

What is the result of 5 times what number to get 15?

• 3

• 4

• 5

• 2

How can you express 12 times what number to get 3?

• 1/2

• 1/4

• 1/5

• 1/3