Exploring the Distance Formula in Coordinate Geometry

The video tutorial explains how to calculate the distance between two points on a number plane using the distance formula. It begins with an introduction to the concept and the formula, followed by a detailed explanation of substituting coordinates into the formula. The tutorial then walks through the step-by-step calculation process, leading to the final result of the distance between the points. The video emphasizes accuracy and precision in mathematical calculations.

What is the purpose of the presentation?

• To explain the distance formula

• To introduce a new mathematical concept

• To solve a complex algebra problem

• To discuss the history of mathematics

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CCSS.RI.6.2

CCSS.RI.7.2

CCSS.RL.7.2

CCSS.RL.8.2

CCSS.RL.9-10.2

What is the approximate distance between the two points as estimated visually?

• 7 units

• 6 units

• 5 units

• 4 units

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CCSS.2.MD.A.3

Why is the distance formula used?

• To estimate distances visually

• To get an accurate and precise distance

• To calculate the slope of a line

• To find the midpoint between two points

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CCSS.HSG.GPE.B.7

What are the coordinates of point S?

• (2, -1)

• (-1, 2)

• (4, 5)

• (5, 4)

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CCSS.6.NS.C.6B

What should be done before substituting the coordinates into the formula?

• Find the slope of the line

• Calculate the midpoint

• Label the coordinates as x1, y1 and x2, y2

• Estimate the distance visually

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CCSS.HSG.GPE.B.6

What is the value of x2 in the given example?

• 2

• -1

• 4

• 5

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CCSS.8.EE.A.2

What operation is performed when subtracting a negative number?

• Multiplication

• Subtraction

• Addition

• Division

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CCSS.7.NS.A.1C

What is the result of 6 squared?

• 36

• 12

• 42

• 30

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CCSS.6.EE.A.1

What is the sum of 36 and 4?

• 42

• 40

• 30

• 50

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CCSS.1.NBT.C.4

CCSS.2.NBT.B.5

What is the final calculated distance between points S and T?

• 7.32 units

• 6.32 units

• 8.32 units

• 5.32 units

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CCSS.HSG.GPE.B.7