Session 3 Measurement and Geometry Chapters 4 and 5 OFL Prep Sessions CAHSEE PREP.

Session 3

Measurement and Geometry

Chapters 4 and 5

OFL Prep Sessions

CAHSEE PREP.

Compare and Convert Units of Length, Weight, and Mass

Jamie needs 45 feet of rope. The hardware store sells rope by the yard. How many yards of rope does Jamie need to buy?

Compare and Convert Units of Length, Weight, and Mass

Is 10 pounds more or less than 5 kilograms? (2.2 lbs ≈ 1 kg)?

3 m = _______ mm

Compare and Convert Units of Capacity

A recipe calls for 2 quarts of milk. How many cups of milk is that?

Compare and Convert Units of Capacity

Are 4 liters of water more or less than 4.5 quarts? (1.06 qt ≈ 1 L)?

Compare and Convert Square and Cube Units

Compare and Convert Square and Cube Units

Lee bought a piece of plastic that is 3 square feet. How many square inches is that?

Compare and Convert Square and Cube Units

The Smith family has a tub that has a volume of 16 cubic feet (ft3). About how many gallons of water does it hold?

(1 ft3 ≈ 7.48 gal)

Compare and Convert Units of Time and Temperature

Compare and Convert Units of Time and Temperature

Leslie’s grandmother told her that she will be 7 decades old this year. How old will this be in years?

Compare and Convert Units of Time and Temperature

2 degrees per second = ________degrees per minute

37° C ______ 98.6° F Fill in the blank using >, <, or =.

Use Rates to Solve Problems

Max walked 6 miles at a speed of 3 miles per hour. How long did it take him to walk the 6 miles?

Remember: d=r●t (dirt)

=> distance = rate times time

Use Rates to Solve Problems

Two people can build a shed in 6 days. How many person-days does the job require? How many days would it take 6 people to build the shed?

Construct and Read Drawings Made to Scale

scale measurescale factor =

actual measure

The scale on a drawing is 1 inch represents 8 feet. What is the scale factor of the drawing to the actual object?

Construct and Read Drawings Made to Scale

A model car comes in a box that the scale factor

1is . The diameter of one of the wheels on the

28model car is 2.2 centimeters. If the model is

accurate, what is the diameter of the corresponding

wheel on the actual car?

Construct and Read Drawings Made to Scale

On a map, the distance between Flat River and Farmington is 3 inches. The scale on the map is ½ inch represents 4 miles. What is the actual distance between Flat River and Farmington?

Use Formulas to Find Perimeter, Circumference, and Area

Use Formulas to Find Perimeter, Circumference, and Area

Matt plans to put new baseboards around the bottom of the walls in his spare bedroom. The room is 12 ft by 10 ft. Approximately how many feet of baseboards will he need to complete the job?

Use Formulas to Find Perimeter, Circumference, and Area

1) Find the circumference of a circle with a diameter of 6 inches. (Use 3.14 for π)

2) What is the area of a triangle with a base that measures 10 inches and a height that measures 2 inches?

Use Formulas to Find Perimeter, Circumference, and Area

What is the area of a circle with a radius of 4 centimeters?

Find Surface Area

Surface area is the TOTAL area of all the faces and curved surfaces of a figure.

Find Surface Area

Find Surface Area

Find Surface Area

Find Volume

V=Bh B = area of the base, h = height

Find Volume

Workers are replacing a section of a concrete deck. The section being replaced can be represented by a rectangular prism that measures 12 feet long, 6 feet wide, and 2 feet thick. How many cubic feet of concrete will they need to replace this section of the deck?

Find Volume

Find the volume of a cube that has a side that measures 6 meters.

Find Area of Complex and Irregular Figures

Find Area of Complex and Irregular Figures

Find Area of Complex and Irregular Figures

Find Area of Complex and Irregular Figures

Find Area of Complex and Irregular Figures

Scaling Effects

The label on a paint can said that the paint covers 400 square feet of surface area. About how many square yards of surface area will the paint cover?

Scaling Effects

Use dimensional analysis to convert 8 cubic yards to cubic meters.

(1 yd ≈ 0.91 meters)

Pythagorean Theorem

A rug is 6 feet wide and 8 feet long. What is the length of the diagonal of the rug?

Pythagorean Theorem

Pythagorean Theorem

Coordinate Graphs

Coordinate Graphs

Coordinate Graphs

What is the area in square units of the polygon whose vertices are (-3, 4), (3, 4), (3, -2), and (-3, -2)?

Transformations and Congruency

Transformation is a change of position or size of a figure in a planeTranslation (slide)Reflection (flip)

Congruent figures are figures with the SAME size and SAME shape.

HOMEWORK

See Assignment Sheet – Session 3

Homework is due at the next class meeting or by the assigned date!