I Can Define, Identify and Illustrate the Following Terms

Name: Period GL

Unit 12: Area and Perimeter

I can define, identify and illustrate the following terms:

Perimeter

Area

Base

Height

Geometric probability

Diameter

Radius

Circumference

Pi ()

Regular PolygonApothem

Composite Figure

Altitude

Dates, assignments, and quizzes subject to change without advance notice.

Monday / Tuesday / Block Day / Friday
24
Parallelograms, Squares, and Rectangles
27
Circles
Triangles and Trapezoids / 28
Regular Polygons / 29/1
Composite Figures / 2
Quiz
5
Dimensional Changes / 6
Review / 7/8
Test Unit #12:
Perimeter and Area / 9
Geometric Probability Activity

Friday, 2/24/12

Area and Perimeter

I can find the area and perimeter of a polygon.

I can solve problems using area, perimeter, and circumference

PRACTICE: p 38 (3-4, 10-11, 17-18, 21, 28, 44, 48) p 593 (1-3, 11-12,30-32, 34, 52-53)

Monday, 2/27/12

Area and Perimeter

I can find the area and perimeter of a polygon.

I can find the circumference of a circle.

I can find the area of a circle.

PRACTICE: p38 (5-9,12-16, 22-25) p593 (4-5, 14-16, 24-25, 35-36)

Tuesday, 2/28/12

Regular Polygons

I can find the perimeter and area of a regular polygon.

PRACTICE: Regular Polygons Worksheet

Block Day, 2/29/12- 3/1/12

Composite Figures

I can find the area of composite figures.

PRACTICE: Composite Figures Worksheet

Friday, 3/2/12

Quiz

I can demonstrate my ability on all previously learned material.

PRACTICE: Complete Any Unfinished Assignments

Monday, 3/5/12

Dimensional Changes

I can describean effect on perimeter or circumference when one or more dimensions are changed

I can use scale factors to solve problems using dimensional changes.

PRACTICE: Dimensional Changes Worksheet

Tuesday,3/6/12

Review

I can assess my strengths and weaknesses on all previously learned material.

Block Day, 3/7-8/12

Test Unit #12: Area and Perimeter

I can demonstrate my ability on all previously learned material.

Friday, 3/9/12

Geometric Probability

I can calculate and use geometric probability to predict results

PRACTICE: IN CLASS ACTIVITY

Area and Perimeter of Parallelograms, Rectangles and Squares

How do you find the perimeter of ANY figure? ______

What is the formula for the area of a rectangle/square? ______

Consider the following diagram with given areas:

What can you conclude about the area of a parallelogram compared to the area of a rectangle?

What is the formula for the area of a parallelogram? ______

Examples:

Find the area and perimeter of a rectangle witha width of 9.8 ft and a height of 2.7 ft.

Find the perimeter and area of a rectagle with length (s+3) and (s - 7).

Find the area and perimeter of a square with side lengths x.

Find the height of a parallelogram with base length 5 inches and area 12 inches.

Find the perimeter of a square with an area of 64 square centimeters.

Friday, 2/24/12 p 38 (3-4, 10-11, 17-18, 21, 28, 44, 48) p 593 (1-3, 11-12,30-32, 34)

Area and Perimeter of Circles, Triangles, and Trapezoids

PLEASE LEAVE ALL ANSWERS THAT HAVE Pi () in them as Pi (). DO NOT ESTIMATE USING or 3.14.

Using your TAKS chart, write the formulas for the areas of the circle, triangle, and trapezoid.

CircleTriangleTrapezoid

What is the perimeter of a circle called? ______Write the formula: ______

Examples:

Find the circumference and area. Leave answers in terms of .

The area of a circle is 144 ft. Find the circumference.

Find the perimeter and area.

Find the perimeter and area. (use Pythagorean Theorem to help)

Find the perimeter of the isosceles trapezoid.

Find the height of a trapezoid if the bases have lengths of 6 and 17 and the area of the trapezoid is 46 square units.

Monday, 2/27/12 p38 (5-9, 12-16, 22-25) p593 (4-5, 14-16, 24-25, 35-36)

Regular Polygons

EXAMPLES:

Ex 1: Find the area of the regular polygon below.

For some figures you can use special right triangles to find the apothem of side length if it is not given.

Squares are made up of ______triangles.

Equilateral triangles and Hexagons are made up of ______triangles.

Label the sides of the triangle with the correct ratios.

Ex 2:

Ex 3:

Tuesday, 2/28/12Regular Polygon Worksheet

Find the area of each regular polygon.

1.2.3.

Area:______Area:______Area:______

7. A regular heptagon has a perimeter of 35 feet, and an apothem of feet. What is the area?

8. A regular octagon has side lengths of 12 inches and an apothem of inches. What is the area?

9. The perimeter of a regular hexagon is 48 ft. What is the area of this polygon?

Name: Period: GH

Class Activity – Composite Figures

Materials needed: four shapes, TAKS chart, blank paper, glue stick

I. Measuring Perimeter and Area

You and your partner will have four shapes. Each of you should take two of the shapes. Sketch your two shapes on this page. (Your sketches do not have to be perfectly to scale!)

For each shape:

Decide what lengths you need to know in order to calculate the perimeter. Measure these lengths to the nearest tenth of a centimeter and mark them on your diagram below. Use the ruler on your TAKS chart. DO NOT write the lengths on the shapes themselves.
Find the perimeter and write it underneath the diagram.
Decide if you need any other measurements in order to find the area. Measure them and mark them on your diagram.
Find the area. Show all appropriate formulas and show your calculations.

Once you and your partner are finished measuring and calculating, switch shapes to verify each other’s calculations.

Diagrams and calculations:

II. Composite Figure

On a separate piece of paper, arrange your four shapes into one composite figure and glue them down. (Each shape must share at least one edge with another shape.)
Put your names on the paper.
Sketch your composite figure below. (Does not have to be the real size.) Write in any relevant lengths.

1. What is the perimeter of your composite figure?

2. What is the area of your composite figure? How did you figure it out? Write a few sentences explaining your process to someone having trouble with this concept.

Block Day, 2/29/12- 3/1/12 Composite Figures - Examples

1 – 2: Find the area and outside perimeter for each figure. Assume all angles are right angles

1.2.

3-9. Find the area of the shaded regions and the outside perimeter.

3. 4.

5.6.

7.8.

9. Mr. Ike wants to put brown tile in his living room except in the center where he wants ivory tile in a square shape. The diagram below shown the layout of the room. If each tile is a 6 inch square, how many brown tiles will he need? How many ivory tiles?

Block Day, 2/29/12- 3/1/12 TAKS QUESTIONS OVER COMPOSITE FIGURES

2006 Exit

10. Four square pieces are cut from the corners of a square sheet of metal. As the size of the small squares increases, the remaining area decreases, as shown below.

If this pattern continues, what will be the difference between the first square’s shaded area and the fifth square’s shaded area?

A 4 square units

B 24 square units

C 49 square units

D 96 square units

2003 Exit

11. Find the equation that can be used to determine the total area of the composite figure shown below.

AA = lw + w2

B A = lw + w2

C A = w + 2l + w2

D A = w + 2l + w2

2006 Exit

12. Look at the figure shown below.

Which expression does not represent the area of the figure?

A bc − ef

B af + ad − de

C de + af + ad

D af + cd

Monday, 3/5/12

Dimensional Changes

Use the figures below to answer questions #1 - 6.

1. Find the scale factor of the sides

2. Find the perimeter of ABCD3. Find the perimeter of EFGH

4. Find the scale factor of the perimeters (EFGH / ABCD)

6. Find the area of ABCD7. Find the area of EFGH

8. Find the scale factor of the areas (EFGH/ABCD)

9. How does the scale factor of the sides compare to the scale factor of the area?

10 Tony and Edwin each built a rectangular garden. Tony’s garden is twice as long and twice as wide as Edwin’s garden. If the area of Edwin’s garden is 600 square feet, what is the area of Tony’s garden?

11 The similarity ratio of two similar polygons is 3:5. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon?

2003 9th grade

13. Describe the effect on the area of a circle when the radius is doubled.

F The area is reduced by .

G The area remains constant.

H The area is doubled.

JThe area is increased four times.

2004 9th grade

14. The similarity ratio of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon?

A100 cm

B 75 cm

C 50 cm

D 150 cm