NMP Q1 Week 3.pptx day 1 to 4 ppt.x.pptx

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About This Presentation

ppt.


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NMP Week 3 Anderlynne B. Remoroza Master Teacher 1

NMP Week 3 day 1 Anderlynne B. Remoroza Master Teacher 1

At the end of the lesson, the learners are able to: 1.calculate the perimeter of parallelograms following the correct formulas in solving for the perimeter of a parallelogram. 2.give the formula for finding the perimeter of a parallelogram, rhombus, trapezoid, and other trapezoidal shapes. solve for the perimeter of quadrilaterals such parallelograms, trapezoids, and other trapezoidal shapes following the correct formulas in solving for the perimeter of quadrilaterals.

let’s sing and dance the Quadrilateral dance. Can you identify a real-world object that matches each type of quadrilateral (e.g., square, rectangle, rhombus, trapezoid/trapezium, parallelogram)?

We have already identified and differentiated the different types of quadrilaterals, today we will calculate the perimeter of a parallelogram. Imagine you have a mini-garden, and you are planning to put a string line on it. How will you know how much string you will need to cover all the sides of your mini garden? What tools may you use to measure all the sides of your mini garden? Why do you think we need to measure all the sides of your mini garden?

Match the words in Column A to the meaning found in Column B. a .A four-sided polygon with four equal sides and equal opposite angles. b .The total distance around the edge of a shape. c .It is the shorter distance of an object, or a figure and it shows how broad or wide the given figure is. d .It is the longest dimension of a figure, and it shows how long the given figure is. Column A Column B 1.Perimeter 2.Parallelogram 3.Length 4.Width

1.What is the length of Adam’s Garden? 2.What is the width of Adam’s Garden? 3.How can we help Adam find the total distance of his garden to be covered by a fence? Adam has a parallelogram-shaped garden that needs a new wooden fence around it. Its length is 50 feet and its width is 25 feet. What is the perimeter of Adam’s Garden? This time, let us look into Adam’s situation. Read and analyze the situation.

Formula A. P= 2 L + 2 W or Formula B P= l+l+w+w the formulas for finding the perimeter of a Parallelogram: 

 P= 50 feet+50 feet+25 feet+25 feet= 150 feet P=2 (50 feet) + 2(25 feet) =150 feet  So, what is the perimeter of Adam’s Garden that needs fencing in the situation?

Dexter jogs around a parallelogram lot in a subdivision every day. If the lot measures 40 meters long and 30 meters wide, How far does he jog in one round? This time, let us look into Dexter’s situation. What is the length of the lot that Dexter jogs around? What is the width of the lot that Dexter jogs around? How can we help Dexter know the distance he jogs in one round?

Solutions: P= 400 meters +400 meters +300 meters + 30 meters =1,400 meters or P=2 (400 meters) + 2(300 meters) =1,400 meters So, how far did Dexter jog in the situation?

Sophia would like to build a fence around her garden to keep the animals out. If she has a parallelogram-shaped garden with a length of 8 meters and a width of 4 meters, What is the perimeter of the garden? Shape : parallelogram Length : 8 meters Width : 4 meters   Perimeter : P=8meters+ ____ meters+ ____ meters+ ____ meters= ____ meters

Solve for the perimeter of the following. Show your solutions. Shape: parallelogram Length: 12 cm Width: 9cm Formula: P=2l+2w Solution: P= 2( __ cm) + 2( __ cm)= __ cm 2. A parallelogram has a length of 30 cm and a width of 16 cm. Find its perimeter. P= 2( __ cm) + ( __ cm) = __ cm  

1. What is perimeter? 2 How do we solve for the perimeter of a closed figure such as a parallelogram?

Find the perimeter of the following parallelogram.

Find the perimeter of the following parallelogram.

At the end of the lesson, the learners are able to: 1.calculate the perimeter of parallelograms following the correct formulas in solving for the perimeter of a parallelogram. 2.give the formula for finding the perimeter of a parallelogram, rhombus, trapezoid, and other trapezoidal shapes. solve for the perimeter of quadrilaterals such parallelograms, trapezoids, and other trapezoidal shapes following the correct formulas in solving for the perimeter of quadrilaterals.

Day 2

Can you identify what object/s is in each picture? What is the shape of the objects shown in the pictures? How do we solve the perimeter of a parallelogram?

Can you identify what object/s is in each picture? What is the shape of the objects shown in the pictures? How do we solve the perimeter of a parallelogram ?

Let us arrange the jumbled letters to form the correct word that matches its meaning. ( ushmorb )______1. The opposite sides are parallel. All sides are equal. Opposite angles are equal. bisect each other at right angles (90°). ( retemipre )_______2. The total distance around the edge of a shape. ( perllala )_______ 3.Meaning that the two lines will not cross each other.

David wants to build a rhombus-shaped sand playground in the backyard. He is going to use wood for the sides. Each side is 8 yards long. How much wood does he need? Let us analyze David’s situation. 1. What is the shape of the sand playground that David plans to make? 2. What is asked in the word problem? 3. What is the given fact/s?

Here are the formulas in finding the perimeter of the Rhombus: rhombus: P= s1+s2+s3+s4 or P=4s I have a diagram of David’s rhombus-shaped sand playground. Since rhombus has 4 equal sides, we can simply add all the sides to get its perimeter, or by multiplying the measure of one side by 4. Our solution will be: P= s1+s2+s3+s4 or P=4s P=8 yards+8 yards+8 yards+8 yards P=4(8 yd P=32 yards P=32 yards How much wood does David need to build his sand playground?

Analyze and solve each problem below. Show your solution 1. A rhombus handkerchief measures 20 cm. What is its perimeter? Perimeter:P=4(20 cm)=8_____ cm 2.A rhombus floor tile has a side of 60 cm. Find its perimeter. Perimeter:P=4(60 cm)=_____ cm

Analyze and solve each problem below. Show your solution. 1. A purse is in a rhombus shape, having a side of 10 cm, what is its perimeter? Solution: P=_____(____ cm)=____cm 2. A rhombus doormat measures 75 cm. What is its perimeter? Solution:P=_____(____cm)=____ cm

1. How are we going to find the perimeter of a rhombus?

Find the perimeter of a quadrilateral Analyze and solve each problem below. Show your solution. 1. A rhombus-shaped window has sides measuring 160 cm each. Calculate its perimeter. Formula: P=4s Solution:_____( _____ cm)= _____ cm Perimeter: _____ cm

Find the perimeter of a quadrilateral 2. A rhombus placemat measures 30 cm in one side. Find its perimeter. Formula: P=4s Solution=___( ___ cm)= ___ cm Perimeter: ___ cm

Thank u

Day 3

Let’s recall What are the rhombus-shaped objects mentioned in the song? What characteristics of the rhombus is/are mentioned in the song? What is the formula for finding the perimeter of a rhombus?

Let us analyze the two diagrams carefully. 1 . How many sides are there in diagram A? How about diagram B? 2. How will you describe the length of the sides in diagram A? How about the length of the sides in diagram B? 3. What type of quadrilateral is presented in each diagram?

L et’s analyze the selection. Kindly refer to the image below. Cristina wants to stay fit, so she walks around the trapezoidal park every day before going to school. The park measures 40 m, 45 m, 65 m, and 80 m respectively What is the total distance that Cristina covers every day in one round? ?

Let us break down the details. 1. Who walks around the park every day before going to school? 2. Based on the given measurements, what is the shape of the park? 3. What is asked in the problem? 4. What are the given facts that can help you solve the problem?

Let’s look at Cristina’s situation. Here’s a diagram of the trapezoidal park where Cristina walked. As observed, the park has four sides. In finding the perimeter of the trapezoid, we need to know the measure of all the sides of the park. The lengths of the sides of the trapezoidal park are as follows: Side 1 = 40 m Side 2 = 45 m Side 3 = 65 m Side 4 = 80 m

Let’s look at Cristina’s situation. Here’s a diagram of the trapezoidal park where Cristina walked. As observed, the park has four sides. In finding the perimeter of the trapezoid, we need to know the measure of all the sides of the park. The lengths of the sides of the trapezoidal park are as follows: Side 1 = 40 m Side 2 = 45 m Side 3 = 65 m Side 4 = 80 m

Please take note that the pair of opposite parallel sides are called the base. How are we going to get the perimeter of the trapezoid? What are we going to do with the sides? Here is the formula for getting the perimeter of the Trapezoid. trapezoid: P= s1+s2+s3+s4, we need to add all the sides to get the perimeter. Our solution will be P=40 m+45 m+65 m+80 m=230 m The perimeter of the park is 230 meters. What if she walked in the park every morning for a week, how far did she walk in total? We will multiply 230 m by 7 since it's 1 week. Our solution will be: 230 x 7= 230 meters

Let’s analyze the scenario. Coco made a trapezoidal tabletop for her daughter, and he is planning to put pink lace around it. The tabletop measures 28 inches,10 inches, and 12 inches on both sides. What is the perimeter of the tabletop?

Let us analyze the scenario. 1. Who made the tabletop? 2. What is the shape of the tabletop? 3. What is asked in the problem? perimeter of the tabletop? 4. What are the given facts that can help you solve the problem?

How are we going to find the perimeter of the table? Using the formula of trapezoid: P= s1+s2+s3+s4, we will add all the sides to get the perimeter starting from the bases of the trapezoids. Our solution will be P=28 inches +10 inches +12 inches +12 inches = 62 inches The perimeter of the table is 62 inches. Therefore, Coco will need 62 inches of pink lace to cover the sides of the table.

Let us find the perimeter of the following trapezoids. Formula: P=s1+s2+s3+s4 Solution= ___m+ ___ m+ ___ m+ __ m Perimeter: ___ m

Let us find the perimeter of the following trapezoids. Formula: P=s1+s2+s3+s4 Solution=___ cm+ ___ cm+ ___ cm+ ___ cm Perimeter: ___ cm

How to find the perimeter of a trapezoid?

Find the perimeter of the trapezoids. 1. Formula: P=s1+s2+s3+s4 Solution= __ m+ __ m+ __ m+   __ m Perimeter: 33 m

Find the perimeter of the trapezoids. 2 . Formula: P=s1+s2+s3+s4 Solution= __yd + __yd + __yd +   __yd Perimeter: yd

3. A trapezoidal lot is to be planted with Roses all around. The sides of the lot measure 23 m., 28m., 43 m., and 48 m respectively. What is the perimeter of the lot? a. Shape of the Lot: Trapezoid b. Measurements of the sides: 23 m., 28m., 43 m., and 48 m formula: P=s1+s2+s3+s4 c. Perimeter of the Lot: 142 m

Day 4

Classify each quadrilateral as a square, rectangle, rhombus, parallelogram, or trapezoid.

Match the quadrilateral found in Column A to its corresponding formula found in Column B. A- Quadrilaterals B- Formula 1.Parallelogram a. P=s1+s2+s3+s4 or P=4s 2.Rhombus b. P=s1+s2+s3+s4 3.Trapezoid c. P=2l+2l or P=l+l+w+w

Let us briefly recall the keywords learned yesterday. A trapezoid has only one pair of the opposite side of a trapezium parallel to each other. The two adjacent sides of a trapezium are supplementary (180 degrees) A base is a pair of opposite sides that are parallel in trapezoidal shapes. The total distance around the edge of a shape is what we call the perimeter.

Ian is planning to put a fence around a parallelogram-shaped yard. If the yard measures 50 feet long and 35 feet wide, what is the total distance of the yard that needs fencing? Questions: 1. Who is planning to put a fence around the yard? 2. What is the shape of the yard? 3. What is asked in the problem? 4. What are the given facts that can help you solve the problem?

Let us analyze Ian’s situation. Using the figure, let us label the measure of each side. Question: What is the formula for getting the perimeter of a parallelogram? Answer: P=2(l) + 2(w) or P= l + l + w + w How are we going to find the perimeter of the yard?

Using the formula of a parallelogram, we can simply multiply the given length and width by 2 and add the answers, or add all the sides. Therefore, our solution will be P=2 ( 50 feet) + 2 (35 feet) = 170 feet or P= 50 feet + 50 feet + 35 feet + 35 feet=170 feet The total distance of the yard that needs fencing is 170 feet.

Group Activity

Find the perimeter by using the correct formula for each quadrilateral. 1. Formula= P=s1+s2+s3+s4 Perimeter= _____ in

Find the perimeter by using the correct formula for each quadrilateral. 1. F2. Formula=2l+2w Perimeter=____ yd

1. What is perimeter? 2. How do you find the perimeter of closed figures (parallelogram, rhombus, and trapezoid)?

1. Perimeter is the total distance around a closed figure. 2. Parallelogram: To solve for the perimeter of a closed figure like the parallelogram, get the sum of the lengths or get the sum of the measurements of its sides using these formulas: P= 2l+2w or P= l + l + w + w Rhombus: To find the perimeter of a rhombus, simply add all the lengths of all the sides following this formula: P = s1 + s2 + s3 +s4 or you can also multiply the length of the sides by 4 following this formula: P = 4 x side or 4 x s or 4s Trapezoid: To find the perimeter of a trapezoid, simply add all the lengths of all the sides using this formula: P = side1 + side2 + side3 + side4 or P = s1 + s2 + s3 + s4

perimeter of parallelograms and trapezoidal shapes. Write your answers on the activity sheet. QUADRILATERAL LENGTH WIDTH PERIMETER parallelogram 1. 17m 14m P=____m square 2. 15yd 15yd P=____yd rectangle 3. 25ft 15ft P=____ft rhumbus 4. 12 in 12 in P=____in trapezoid 5. s1=25cm, S2=35cm s3=20cm, s4=20cm P=____cm
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