Warm-Up #4 1. Examine the equation: a + 2 = b + 4. Which is larger a or b? 2. Solve and Graph: 3. Find the missing side length.

HW 1.11 Check

Remember plotting coordinates? The Coordinate Plane An Ordered Pair of numbers identifies the location of a point.

Practice Plot the following coordinates: (-2, 3) (4, -1) (1, 1) (-3, -4) (0, 0)

9) How can we find the distance between the two points? . How long is this leg? (4, 6) We can use the Pythagorean Theorem! . (-3, -2) What about this leg?

The Distance Formula The distance formula uses the Pythagorean Theorem to find the distance between two points. It has the coordinates for each point built in, so it finds the length of each “leg” for you! . (4, 6) . (-3, -2)

The Distance Formula Use the distance formula to find the distance between the two points. . (4, 6) . (-3, -2)

10) Use the distance formula to find the distance between the two points. . (-5, 5) . (3, -4)

Word Problem 11) On a map’s coordinate grid, Walt City is located at (-1, -3) and Smithville is located at (4, 9). How long is a train’s route as the train travels along a straight line from Walt City to Smithville? (One map unit equals one mile.)

Area Jeopary!

Formulas Prism b = Area of base h = height V = b ∙ h (rectangular or triangular) b = Area of base h = height V = b ∙ h Cylinder b = base (pr2) h = height V = b ∙ h V = (pr2) ∙ h

Example 1 Find the volume of a rectangular prism with base 2 cm by 5 cm and height 3 cm.

Example 2 Find the volume of the figure to the nearest tenth.

Example 3 Find the volume of the figure to the nearest tenth.

Cone b = base (pr2) h = height V = b ∙ h V = ⅓(pr2) ∙ h Pyramid (triangular or rectangular) b = Area of base h = height V = ⅓b ∙ h Cone b = base (pr2) h = height V = b ∙ h V = ⅓(pr2) ∙ h

Example 4

Example 5

Example 6

Sphere r = radius V = (4/3) pr3 Hemisphere r = radius V = (4/3) pr3 2

Example 7 Find the volume of a sphere with radius 9 cm, both in terms of p and to the nearest hundredth of a unit.

Example 8 Find the volume, both in terms of p and to the nearest hundredth of a unit.

Example 9