T1.3. Measurement Conversion Across Systems (W4M2) PDF

MATH REVIEW: TOPIC METRIC SYSTEM  Converting Within Metric System MATH Convert the given measure to the indicated metric unit. 1) 1.712 dam = 171.2 dm 2) 1095 mL...

MATH REVIEW: TOPIC METRIC SYSTEM  Converting Within Metric System MATH Convert the given measure to the indicated metric unit. 1) 1.712 dam = 171.2 dm 2) 1095 mL = 1.095 L 3) 2.25 kg = 225 000 cg 4) 3 mg = 0.003 g 5) 9.87 km = 987 dam FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  OBJECTIVES: MATH T1.3. Measurement LC1.7. Convert units of measure within the International System of Units (SI) and across different systems of measure. LO7.1. Approximate the measures of quantities, particularly length, weight, capacity, time, and temperature LO7.1. Solves problems involving the conversion of unit of measurement FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  ENGLISH SYSTEM MATH ❑ US Customary System ❑ Evolved from nonstandard units of measure (e.g., foot, yard) ❑ Involves decimal values and requires memorization FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  ENGLISH SYSTEM MATH Quantity Unit Approximate / Comparison 1 foot (ft) Length of an adult foot / One ruler Length Distance from thumb tip to the thumb’s 1 inch (in) midline / Push pin / Paper clip FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  ENGLISH SYSTEM MATH Quantity Unit Approximate / Comparison 1 pound (lb) Weight of a single rubber shoe / light lady dumbbell Weight 1 ounce (oz) AA Battery / Scoop of candy FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  ENGLISH SYSTEM MATH Quantity Unit Approximate / Comparison 1 pint (pt) Amount of Large fast food soft drink Capacity 1 gallon (gal) Amount in a large tumbler/pitcher FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  MATH CONVERTING TOPIC ACROSS METRIC AND ENGLISH SYSTEM  This is inches, a unit from English System This is cm, a unit from Metric System Observe how 1 inch is NOT exactly equivalent to a whole number cm! This simply means that if we want to convert from one system to another (i.e English to Metric) we need to include the decimals. FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  CONVERSION TABLE English System Metric System 1 inch (in) 2.54 cm 1 foot (ft) 0.305 m 1 ounce (oz) 28.35 g 1 pound (lb) 0.45 kg 1 gallon (gal) 4.55 L 1 pint (pt) 0.47 L FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  Converting Metric to English and Vice Versa To convert across different systems of measurement, we need to use a “conversion factor”. It is a ratio or fraction that contains two equal values but different units in the numerator and denominator. For example, if we want to convert 5 ft to meters; 𝟓 𝒇𝒕 𝟎. 𝟑𝟎𝟓 𝒎 𝟓 × 𝟎. 𝟑𝟎𝟓 𝒎 × = = 𝟏. 𝟓𝟐𝟓 𝒎 → 𝟏. 𝟓𝟑 𝒎 𝟏 𝟏 𝒇𝒕 𝟏 𝒅𝒆𝒔𝒊𝒓𝒆𝒅 𝒖𝒏𝒊𝒕 𝒈𝒊𝒗𝒆𝒏 𝒖𝒏𝒊𝒕 This is the conversion factor from the conversion table FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  Converting Metric to English and Vice Versa Convert the given measure to the indicated unit. English System Metric System a) 22 in = _______ cm 1 inch (in) 2.54 cm 1 foot (ft) 0.305 m a) 𝟐𝟐 𝒊𝒏 𝟐. 𝟓𝟒 𝒄𝒎 𝟐𝟐 × 𝟐. 𝟓𝟒 𝒄𝒎 1 ounce (oz) 28.35 g × 60 = 𝟏 𝟏 𝒊𝒏 𝟏 1 pound (lb) 0.45 kg 1 gallon (gal) 4.55 L 𝟐𝟐 × 𝟐. 𝟓𝟒 1 pint (pt) 0.47 L = 𝟓𝟓. 𝟖𝟖 𝒄𝒎 𝟏 FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  Converting Metric to English and Vice Versa Convert the given measure to the indicated unit. English System Metric System b) 235 kg = ______ lb 1 inch (in) 2.54 cm 1 foot (ft) 0.305 m b) 𝟐𝟑𝟓 𝒌𝒈 𝟏 𝒍𝒃 𝟐𝟑𝟓 × 𝟏 𝒍𝒃 1 ounce (oz) 28.35 g × 60 = 𝟏 𝟎. 𝟒𝟓 𝒌𝒈 𝟎. 𝟒𝟓 1 pound (lb) 0.45 kg 1 gallon (gal) 4.55 L 𝟐𝟑𝟓 1 pint (pt) 0.47 L = 𝟓𝟐𝟐. 𝟐𝟐 𝒍𝒃 𝟎. 𝟒𝟓 FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  Converting Metric to English and Vice Versa English System Metric System Convert the given measure to the indicated unit. 1 inch (in) 2.54 cm c) 50 gal = ______ mL 1 foot (ft) 0.305 m 1 ounce (oz) 28.35 g c) 𝟓𝟎 𝒈𝒂𝒍 𝟒. 𝟓𝟓 𝑳 𝟓𝟎 × 𝟒. 𝟓𝟓 𝑳 × 60 = 1 pound (lb) 0.45 kg 𝟏 𝟏 𝒈𝒂𝒍 𝟏 1 gallon (gal) 4.55 L 𝟓𝟎 × 𝟒. 𝟓𝟓 1 pint (pt) 0.47 L = 𝟐𝟐𝟕. 𝟓 𝑳 𝟏 𝟐𝟐𝟕. 𝟓 𝑳 → 𝟐𝟐𝟕 𝟓𝟎𝟎 𝒎𝑳 FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  PROBLEM SOLVING The maximum weight allowed for a single baggage is 71 lb. Your luggage is approximately 30.6 kg. Do you still need to remove some of your items? FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  PROBLEM SOLVING Expression: The maximum weight allowed for a single 30.6 kg = ___ lb baggage is 71 lb. Solution: Your luggage is 30.6 kg x 1 lb = 30.6 lb approximately 30.6 kg. 0.45 kg 0.45 Do you still need to remove Answer: 68 lb some of your items? 68 lb 71 lb → No need to remove! FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua  Converting Metric to English and Vice Versa Practice Exercise: Convert the following measures to the indicated unit. 1) 7 pt → _______ liters English System Metric System 1 inch (in) 2.54 cm 2) 11.7 kg → _______ pounds 1 foot (ft) 0.305 m 1 ounce (oz) 28.35 g 1 pound (lb) 0.45 kg 3) 8 in → _________ mm 1 gallon (gal) 4.55 L 1 pint (pt) 0.47 L FACILITATORS: Mr. John Joseph Ate | Mr. Frederick Caguioa | Ms. Kimberly D. Tayaua