Exploring Ratios and Rates in a Flipped Classroom

This video tutorial introduces the concept of ratios and equivalent ratios, explaining how to write them in different forms. It provides examples of comparing quantities, such as triangles and circles, and demonstrates how to find equivalent ratios by multiplying or dividing both terms by the same number. The lesson includes practice questions for writing ratios in words and different forms, and uses tables to explore the relationship between the width and length of rectangles. The video concludes with instructions to watch part two and complete a pre-assessment.

What materials do you need for this lesson?

• Think Up page 120, pen, eraser

• Think Up page 130, pencil, highlighter or color pencil

• Notebook, pen, ruler

• Textbook, pencil, calculator

How can the ratio of two triangles to four circles be written?

• 4 to 2, 4:2, 4/2

• 2 to 3, 2:3, 2/3

• 2 to 4, 2:4, 2/4

• 3 to 2, 3:2, 3/2

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the ratio of circles to triangles if there are four circles and two triangles?

• 4 to 2, 4:2, 4/2

• 2 to 4, 2:4, 2/4

• 1 to 2, 1:2, 1/2

• 2 to 1, 2:1, 2/1

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

How do you write equivalent ratios?

• By keeping the numerator constant and changing the denominator

• By subtracting the same value from both the numerator and the denominator

• By adding the same value to both the numerator and the denominator

• By multiplying or dividing both the numerator and the denominator by the same value

Tags

CCSS.6.RP.A.3A

What is an equivalent ratio to 2 triangles to 4 circles?

• 12 triangles to 24 circles

• 6 triangles to 12 circles

• 8 triangles to 16 circles

• 4 triangles to 8 circles

Tags

CCSS.6.RP.A.3A

What is the ratio of circles to triangles in words if there is one circle and three triangles?

• Three circles to one triangle

• One triangle to three circles

• Three triangles to one circle

• One circle to three triangles

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

How can the ratio of three triangles to one circle be written?

• 2 to 1, 2:1, 2/1

• 1 to 2, 1:2, 1/2

• 3 to 1, 3:1, 3/1

• 1 to 3, 1:3, 1/3

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the simplified ratio of width to length if the width is 6 and the length is 8?

• 3/4

• 4/3

• 2/3

• 3/2

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the width of a rectangle if the length is 28 inches?

• 24 inches

• 21 inches

• 20 inches

• 18 inches

Tags

CCSS.4.MD.A.3

What is the multiplicative comparison of width to length if the width is 18 and the length is 24?

• 3/4

• 2/3

• 3/2

• 4/3

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B