1. How did the scavenger hunt help you understand the role of measurement in the real world? 2. Why is accurate measurement important in various professions? 3. Can you think of situations where incorrect measurements could lead to problems?

JESSAEDEMESA 54 views 64 slides Feb 25, 2025
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About This Presentation

1. Recall the basic units of measurement in the metric system.
2. Convert units within the metric system for length, mass, and capacity.
3. Develop a sense of accuracy and precision when performing unit conversions, understanding the importance of correct measurements in practical applications.


Slide Content

CONVERSION OF UNITS METRIC SYSTEM TO METRIC SYSTEM

1. Recall the basic units of measurement in the metric system. 2. Convert units within the metric system for length, mass, and capacity. 3. Develop a sense of accuracy and precision when performing unit conversions, understanding the importance of correct measurements in practical applications. objective

Importance of Precision in Measurement

MKW Chart

MKW Chart • In the "What I Measure " column, list objects, quantities, or situations in their daily lives that require measurement. • In the "What I Know About Measurement" column, write down what you already know about measurement concepts, units, or tools. • In the "What I Want to Learn About Measurement" column, identify any specific questions or topics related to measurement that you are curious about or would like to explore.

Measurement Situation Analysis Recall experiences where you needed to measure or convert units to solve a problem or make a decision. Instructions: Choose one scenario Analyze the situation and identify the measurement concepts involved. 3. Describe how measurement and unit conversion would be essential to solving the problem or making an informed decision in that scenario.

Measurement Situation Analysis Sample Scenario A recipe that calls for ingredients in both cups and grams. A road trip where you need to convert miles to kilometers for better planning. A home improvement project where you must measure areas in square meters and square feet. A classroom experiment that requires converting temperature from Celsius to Fahrenheit.

Unlocking Content Vocabulary • Metric system is a system used for measurement based on common units such as meters, grams, and liters. • English system is a system used for measurement using common units such as inch, foot, yard, and mile.

Explicitation The following are the metric prefixes and their meaning: a. “ milli ” means 0.001 b. “ centi ” means 0.01 c. “ deci ” means 0.1 d. “ deka ” means 10 e. “ hecto ” means 100 f. “ kilo ” means 1,000

1. CONVERSION OF UNITS METRIC SYSTEM TO METRIC SYSTEM

Using conversion factor METRIC SYSTEM TO METRIC SYSTEM Unit conversion is a multi-step process that involves multiplication or division by a numerical factor. Unit fractions may be used to convert from one unit to another .

Using conversion factor Step 1. Identify the unit you have. These are the Starting Units. Step 2. Identify the unit you want. These are the Desired Units. Step 3. Identify appropriate unit conversion factor(s). These are the Linking (or Ratio) Unit(s). Use EXACT conversion factors whenever available. Step 4. Cancel units and perform the math calculations (e.g., multiply, divide). Repeat the calculation (double check). Step 5. Evaluate the result.

Using conversion factor

Using conversion factor

Moving The Decimal Point METRIC SYSTEM TO METRIC SYSTEM Since all units in the metric system are powers of 10, converting from one unit to another is as simple as moving the decimal point.

Moving The Decimal Point To change from a smaller unit to a larger unit (for example, from meters to kilometers), move the decimal point in the original quantity one place to the left of each larger unit of measurement until you obtain the desired unit of measurement.

Moving The Decimal Point To change from a larger unit to a smaller unit (for example, from kilometers to meters), move the decimal point in the original quantity one place to the right for each smaller unit of measurement until you obtain the desired unit of measurement.

Moving The Decimal Point

2. Worked Example For Units of Length Convert 2.3 m to centimeters. 230 cm

2. Worked Example For Units of Mass/Weight Convert 3.2 kg to grams 3200 grams

2. Worked Example For units of Capacity/Volume Convert 0.185 dl to milliliters 18.5 milliliters

2. Worked Example Solve the conversion problems below by applying your knowledge of metric-to-metric units and conversions.

2. Worked Example Solve the conversion problems below by applying your knowledge of metric-to-metric units and conversions.

3. Lesson Activity A. Length Covert 5.5 meters to centimeters A ribbon is 42 centimeters long. Convert this length to millimeters. A basketball court is 28 meters long. Express this length in millimeters.

3. Lesson Example B. Mass/Weight Covert 3.5 kilograms to grams. A bag of rice weighs 2.25 kilograms. Convert this weight to milligrams. A fruit weighs 60 grams. Express this weight in kilograms.

3. Lesson Example C. Volume Covert 1.5 liters to milliliters. A pitcher contains 750 milliliters of mango juice. Express this volume to liters. A fish tank holds 30 000 milliliters of water. Convert this volume to liters.

Generalization 1. Why do we need to convert one metric unit of measurement to another? 2. Give two or more instances where you convert measurement units in your daily life 3. Are there any challenges and misconceptions you encountered while studying the lesson?

1. What is 4500 millimeters in meters? A. 0.45 meters B. 4.5 meters C. 45 meters D. 450 meters

2. How many milliliters are in 5 liters? A. 50 milliliters 500 milliliters 5000 milliliters D. 500,000 milliliters

3. Convert 0.06 kilometers to centimeters. A. 60 centimeters B. 600 centimeters 6,000 centimeters D. 60,000 centimeters

4. What is 0.007 kilograms in grams? 70 grams 7 grams 0.7 grams 0.07 grams

5. Convert 4,200 milliliters to liters. A. 0.42 liters B. 4.2 liters C. 42 liters D. 420 liters

CONVERSION OF UNITS METRIC SYSTEM TO English SYSTEM (vice-versa)

1. Recall the basic units of measurement in the English system; 2. Convert units of measure across different systems of measure; and 3. Develop a sense of accuracy and precision when performing unit conversions, understanding the importance of correct measurements in practical applications. objective

Lesson Activity A. Length Covert 5.5 meters to centimeters A ribbon is 42 centimeters long. Convert this length to millimeters. A basketball court is 28 meters long. Express this length in millimeters.

Lesson Activity B. Mass/Weight Covert 3.5 kilograms to grams. A bag of rice weighs 2.25 kilograms. Convert this weight to milligrams. A fruit weighs 60 grams. Express this weight in kilograms.

3. Lesson Example C. Volume Covert 1.5 liters to milliliters. A pitcher contains 750 milliliters of mango juice. Express this volume to liters. A fish tank holds 30 000 milliliters of water. Convert this volume to liters.

Unlocking Content Vocabulary  Measuring is the process of assigning a number on a measuring device to length, height, weight, or some units.  Conversion is the process of finding the equivalent value of a unit of measure in another unit of measure.

Explicitation  Below are some common units of measure for the English System of Measurement:

Explicitation In the metric system, the prefixes denote multiples of the base as presented on the table below:

3. Lesson Example 1 . How many kilometers are there in 2.5 miles? 1 mi 1.61km 1.61km x 2.5=4.025km 1 mi

3. Lesson Example 2 . How many centimeters are there in 1 foot? 1 ft 12 in 2.54 cm 30.48 cm 1 ft 1 in

Using conversion factor

3. Lesson Example 3 . How many pints are there in 3 gallons? 1 gal 4 qt 2 pt 8 pt x 4=24 pt 1 gal 1 qt

Lesson Activity Instruction: Fill in the blanks to complete each of the following. 1. 5 pounds = _______ ounces 2. 10 inches = _______ cm 3. 12 pints = _______ gallons 4. 8 yards = _______ feet 5. 3 quarts = _______ pints

Generalization 1. How do you convert units of measure? 2. Why is it okay to cross out units in the conversion expression? What is the math behind it? 3. Are there any challenges and misconceptions you encountered while studying the lesson?

True or False: Write T if the statement is true. Otherwise, write F . There are 1 000 millimeters in 1 meter. There are 1 000 centimeters in 1 dekameter. One liter is equivalent to 1 000 milliliters. A hectometer is 100 decimeters. There are 10 000 centimeters in 1 kilometer.

CONVERSION OF UNITS Solving Word Problems Involving Conversion of Units

understand the concept of conversion factors and how they are used to convert between different units of measurement; 2. accurately apply appropriate conversion factors to solve problems involving the conversion of units; objectives

apply their knowledge of unit conversions to real-world situations, such as cooking, travel, and science experiments, demonstrating practical understanding; and 4. demonstrate a collaborative attitude by working respectfully with groupmates to solve conversion problems, valuing diverse approaches and solutions. objectives

Lesson Activity Instruction: Fill in the blanks to complete each of the following. 1. 5 pounds = _______ ounces 2. 10 inches = _______ cm 3. 12 pints = _______ gallons 4. 8 yards = _______ feet 5. 3 quarts = _______ pints

Unlocking Content Vocabulary  Unit conversion is the art of translating measurements from one system to another, making it possible for us to understand and communicate measurements globally.  A conversion factor is a number used to change one set of units to another, by multiplying or dividing.

Illustrative Example 1. Samantha is baking a cake that requires 2.5 liters of milk. She only has measuring cups that measure in milliliters. How many milliliters of milk does she need? Solution: Identify the conversion factor: 1 liter = 1000 milliliters Set up the conversion: To convert liters to milliliters, multiply the number of liters by the conversion factor. Therefore, 2.5 liters  

Illustrative Example 2. James ran 5 kilometers in the Perez Park. How many meters did he run? Solution: Conversion: 1 kilometer = 1,000 meters 5 km×1,000 m/km=5,000 m Sarah ran 5,000 meters.

Illustrative Example 3. A bag of flour weighs 2.5 kilograms. How many grams is that? Solution: Conversion: 1 kilogram = 1,000 grams 2.5 kg×1,000 g/kg=2,500 g The bag of flour weighs 2,500 grams.

Group Activity

Guide Questions: 1. What is a conversion factor, and how does it help you solve problems involving conversions? 2. What steps do you follow when solving a word problem that requires conversion? Can you outline a process that works for you? 3. Why is it important to understand the relationship between different units of measurement?

Problem Solving: Read and analyze each problem carefully. Show your complete solution and box the final answer. 1. Maria is baking cookies that require 2.5 cups of flour. She wants to measure the flour in milliliters for more accuracy. If 1 cup is approximately 236.6 milliliters, how many milliliters of flour does Maria need?   2. James is planning a road trip that is 120 miles long. He wants to know how many kilometers this is since he prefers to use kilometers for distance. If 1 mile is approximately 1.609 kilometers, how many kilometers will James’s travel?

3. In a science experiment, Emily needs to dilute a solution by mixing 500 milliliters of liquid A with 1 liter of liquid B. However, she needs to express the total volume in milliliters. How many milliliters of liquid B does she have, and what is the total volume of the mixture in milliliters?