Mathematics Grade 4 Quarter 4 Module 1, Lecture notes of Mathematics

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MATHEMATICS

Quarter 4 - Module 1

Finding the Area of Irregular Figures

Made Up of Squares and Rectangles

and Triangles, Parallelograms and

Trapezoids

Development Team of the Module Writer: Annalina Z. Arangote Editors: Annie H. Piñero, Maribeth S. Rodriguez, Jufel G. Pagaygay, Mary Claire S. Concepcion Reviewers: Annie H. Piñero, Maribeth S. Rodriguez, Jufel G. Pagaygay, Mary Claire S. Concepcion Illustrator: Annalina Z. Arangote Layout Artist: Annalina Z. Arangote, Mary Claire S. Concepcion Management Team: Senen Priscillo P. Paulin, CESO V Elisa L. Baguio, EdD Joelyza M. Arcilla EdD, CESE Rosela R. Abiera Marcelo K. Palispis, JD, EdD Maricel S. Rasid Nilita L. Ragay, EdD Elmar L. Cabrera Mathematics – Grade 4 Alternative Delivery Mode Quarter 4 – Module 1: Finding the Area of Irregular Figures Made Up of Squares and Rectangles and Triangles, Parallelograms and Trapezoids First Edition, 2020 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. However, prior approval of the government agency or office wherein the work is created shall be necessary for exploitation of such work for profit. Such agency or office may, among other things, impose as a condition the payment of royalties. Borrowed materials (i.e., songs, stories, poems, pictures, photos, brand names, trademarks, etc.) included in this module are owned by their respective copyright holders. Every effort has been exerted to locate and seek permission to use these materials from their respective copyright owners. The publisher and authors do not represent nor claim ownership over them. Published by the Department of Education Secretary: Leonor Magtolis Briones Undersecretary: Diosdado M. San Antonio Printed in the Philippines by Department of Education – Region VII Schools Division of Negros Oriental Office Address: Kagawasan, Ave., Daro, Dumaguete City, Negros Oriental Tele #: (035) 225 2376 / 541 1117 E-mail Address: [email protected]

OBJECTIVES: K: Find the area of an irregular figure made up of squares and rectangles; and trapezoid, triangles, and parallelogram using sq. cm and sq. m. S: Solve the area of a given figure A: Show accuracy in finding the area

I

LEARNING COMPETENCIES:

▪ Finds the area of irregular figures made up of squares and rectangles

using sq. cm and sq. m. ( M4ME-IVa- 55 )

▪ Finds the area of triangles, parallelograms and trapezoids using sq. cm

and sq. m. ( M4ME-IVb- 58 )

I

A. Write the letter of the correct answer in your notebook.

1. What kind of quadrilateral that has 4 equal sides and 4 right angles?

A. square C. rhombus

B. rectangle D. parallelogram

2. Dom made a cut-out. He cut a quadrilateral which opposite sides are

equal and has 4 right angles. What kind of cut-out did he make?

A. parallelogram C. rhombus

B. rectangle D. trapezoid

3. How are triangles classified?

A. They are classified according to their sides.

B. They are classified according to their angles.

C. They are classified according to line segments.

D. They are classified according to their sides and angles.

4. Which best describes a parallelogram?

A. It has 4 equal sides.

B. The 2 opposite angles are obtuse.

C. It has 2 pairs of parallel sides and the opposite sides are equal.

D. It has 4 right angles with 4 equal sides.

5. Find the area of a square.

8 cm

A. 64 sq.cm c. 16 sq. cm

B. 32 sq. cm d. 96 sq. cm

’s In

Look at the figures below. A. 8 cm How do you find the area of a square? By multiplying the side by its side or A = s × s = 8 cm × 8 cm = 64 sq. cm

B.

6 m 15 m How do you find the area of rectangle? By multiplying the length by its width or A = L × W = 15 m × 6 m = 90 sq. m

Lesson Finding the Area of Irregular Figures

Made Up of Squares and Rectangles

and Triangles, Parallelograms and

Trapezoids

5 m

6m

4 m

Andrew and his sister Anne made a vegetable garden as shown below. Find the area of their garden.

3 m

5 m

6 m

3 m

8 m

C. A = 1 2 (b × h) D. 5 m 6 m 10 m (^) = 1 (10 m × 5 m) 2 = 25 sq. m A = (b1+ (^) b2) x h 2 = (5 m + 6 m) x 6 m 2 = 33 sq. m E. 10 m A = b × h = 10 m × 4 m = 40 sq. m

’s New

60 cm

is It

20 m

1.

35 m

A = (b1+ b2) x h

= (20 m + 35 m) x10 m

A = 275 sq. m.

A =

1

( b × h )

2

1

( 50 cm × 60 cm )

2

50 cm A = 1500 sq. cm.

10 m

A = b × h

= 10 m × 5 m

A = 50 sq. m.

Remember: To find the area of an irregular shape that is made up of squares and rectangles:

1. Divide or cut the figure into squares and rectangles.

2. Find the area of the squares or rectangles made.

3. Add the area of the squares and or rectangles made to find the area

of the irregular figure.

4. Use the given formula in finding the area of trapezoid, triangle, and

parallelogram.

10 m

5 m

’s More

Activity 1: Find the area of irregular figure below. Do this in your notebook. 6 m 2 m 9 m Activity 2: Find the area of each figure using the formula. 10 m

6 m A = (b1+ b2) h 2 15 m =

2. A = 1 (b x h) 2 10 cm = 15 cm
3. (^25) m 36 m A = b x h =

3 m

A. Find the area of the following figures. Do these in your notebook.

1.) 9 m 3 m 3 m Area of a square: s × s = Area of a rectangle: l × w = Total area: 2.) 2 cm 8 cm 6 cm Area of a square: s × s = Area of a rectangle: l × w = Total area:

B. Solve for the area of the following figures in your notebook.

1. 5 m 2) 8 m (^12) cm

7 cm

2 cm

3. (^15) m 15 m Find the area using the given data. Write your answer in your notebook.

1. Parallelogram Given: b = 12 cm, h = 10 cm, A = _____________
2. Triangle Given: b = 6 cm, h = 4 cm, A = __________
3. Trapezoid Given: b1 = 10 cm, b2 = 20 cm, h = 5 cm, A = __________
4. Rectangle Given: l = 15 m, w = 6 m, A = __________
5. Square Given: s = 12 m, A = ___________

10 cm

References

Tabilang, Alma et. al. Mathematics-Grade 4: Teacher’ Guide. 1st ed.

Tabilang, Alma et. al. Mathematics-Grade 4: Learner’

Material. 1st ed, 194 – 210.

For inquiries or feedback, please write or call: Department of Education — Schools Division of Negros Oriental Kagawasan, Avenue, Daro, Dumaguete City, Negros Oriental Tel #. (035) 22S 2376 / 541 1117 Email Address. [email protected]. ph Website. lrmds.depednodis.net