Ratios compare quantities…

Slides:

Advertisements

Similar presentations

System of Measurement English – standard measurement in the United States, now called U.S. Customary System Uses, inch, foot, yard, rod and mile as units.

Advertisements

U.S. Customary System Unit Multipliers Lesson 23.

5.8 Changing Units in Customary System Page 218. Customary Units of Measure Length 12 inches= 1 foot 3 feet = 1 yard 5,280 feet = 1 mile.

112 inches (in) = 1 foot (ft) 336 inches = 1 yard (yd) 55,280 feet = 1 mile (mi)

Rate Conversions How many inches are in 5 feet? Objective - To convert units of measure within and between given systems. How many feet are in of a mile?

Measurement Memory Equivalent Measurements. 1 foot = _____in.

 The customary system is a system of measurement commonly used in the United States.  The international system is the most widely used system of measurement.

PO D × basic advance d ÷ Convert Between Measurement Systems Type of MeasureCustomary  Metric Length 1 inch (in.) ≈ 2.54 centimeters.

9.2 Measuring Area and Volume

EOC Practice 24. x + (2x ) + (x ) = 1.8 Which of the following is the value of x? a)0.40 b)0.45 c)0.53 d) (t – 1) = 30t What is.

Dimensional Analysis for Meds

Let’s review! Make 2 solids. Use no more than 8 blocks for each. Sketch the front, right side, and top views for each. At the start of class, everyone.

Measurement Review. Basic Measures METRIC Meter Liter Gram US CUSTOMARY Inch, Foot, Yard, Mile Fluid Ounce, Cup, Pint, Quart, Gallon Ounce, Pound, Ton.

Convert between metric and imperial measurements

What You Will Learn Dimensional Analysis Unit Fractions

MEASUREMENT EQUIVALENCIES

6.9 Compare and convert units of measure for length, area, weight/mass, and volume within the U.S. Customary system and the metric system and estimate.

September Problem of the Day Mental Math and Equivalents.

Measurement, Perimeter, Area In your groups, make a list of: –All the measurement conversions you know; –All the perimeter and area formulas you know.

Capacity – The amount a container can hold.

Measurement Elapsed Time 60 seconds = 1 minute 60 minutes = 1 hour

What measurements are part of the English measurement system?

MEASUREMENT. Chapter One: Measurement  1.1 Measurements  1.2 Time and Distance  1.3 Converting Measurements  1.4 Working with Measurements.

Mix-Freeze-Group. How many inches are equal to 3 feet? A. 24 inches = group of 2 B. 36 inches = group of 6 C. 42 inches = group of 4.

What does conversion mean? A change in the units or form of a number or expression.

Dimensional Analysis Converting. REMEMBER THAT: ***This is a process…even if you know how to do it another way…DON’T…I am teaching you the process! A.

Fractions of Quantities

Geometry Lesson 0 – 1 Changing Units of Measure Objective: Convert units of measure within the customary and metric systems.

1 cup= ____ ounces 8. 1 quart= ____ pints 2 1 ton= ____ pounds 2,000.

6.9 Compare and convert units of measure for length, area, weight/mass, and volume within the U.S. Customary system and the metric system and estimate.

Warm – up #6. Homework Log Thurs 12/3 Lesson 4 – 7 Learning Objective: To simplify ratios, solve proportions, and convert units of measures Hw: #408 Pg.

Measurement review. Choose the best unit to measure each capacity. Write gallons, pints, or fluid ounces

M5 Converting Measures. Customary Metric Inches (in) Feet (ft) Yards (yd) Miles (mi) Millimeters (mm) Centimeters (cm) Meters (m) Kilometers (km) Length.

Length 1000x 1000x kiloeter (km) liter (m) mililiter (mm) 100x

5.7 CONVERTING UNITS LO: CONVERT BETWEEN METRIC AND IMPERIAL UNITS OF MEASURE.

Measurement Benchmarks. The Metric System Metric Linear Measurement (length)

“Easy” Mental Conversions How many inches in a foot? How many seconds in a minute? How many centimeters in a meter?

2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Length Weight Liquid Measures Pick.

Metric System. Introduction In science class, we will be using the metric system to make measurements. It is a system used by scientists all over the.

Section 1.3 Problems Question 1

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Unit 2: Lesson 1 Unit Conversions

Converting Customary Units

Measuring Objects.

Customary Units of Measurement

4.7 Ratios, Proportions, & Converting Units of Measure

4.1 Ratios Ratio: uses division to compare two numbers. Numbers are usually the same unit of measurement. Do not convert to a decimal or a mixed fraction,

Measurement Chart LENGTH Metric System Customary System

Objective The learner will determine appropriate measuring tools, units, and scales.

Converting Units Guided Notes

Conversion Factors Dimensional Analysis Lots of Practice

Measurement Chart Capacity Customary System 1 pint = cups

What You Will Learn Dimensional Analysis Unit Fractions

The Metric System A simple way to measure.

Ratios 4 Possible Ways to Write a Ratio #1

Chemical Building Blocks 1.2 Pages 22-27

Metric Conversions Ladder Method

Metric Conversions Ladder Method

Equalities State the same measurement in two different units length

MATHEMATICAL CONCEPTS IN HEALTH CARE

1 yard, 2 feet or 6 feet (2 points) 2 kilometers 3,000 meters

Direct Conversions Dr. Shildneck.

Conversions Length.

Choose each correct answer. Write it on your answer sheet.

Converting Units Guided Notes

Metric System prefixes

Presentation transcript:

Ratios compare quantities…

Ratios can compare: Part to Part Quantities Part to Whole Quantities Whole to Part Quantities

Ratios can be written in three ways… 7 to 4 7 : 4 7/4 The ratios shown above compare the orange uni-fix cubes to the green uni-fix cubes. If it were asked in reversed, then the ratio of green to orange cubes would be 4 : 7.

Ratios can compare three “things” also… Apples to Oranges to Bananas is 5 : 3 : 2 Bananas to Oranges to Apples is 2 : 3 : 5 Oranges to Apples to Bananas is 3 : 5 : 2 Apples to not Apples is 5 : 5 Bananas to not Bananas is 2 : 8 Oranges to all Fruit is 3 : 10

Ratios can be simplified (like fractions)… The ratio of squares to diamonds is 15 to 20. By dividing the numerator and denominator By the GCF, 5, the simplified ratio becomes 3 to 4 (NOT three fourths). 15 = 3 20 4

Tape Diagrams: Part-Part There are 11 boys to 16 girls in class, what is the total number of students?

Tape Diagram: Part-Whole There are 16 trucks to 57 vehicles in the parking lot. How many vehicles are not trucks.

Using a comparative model, you can see if two quantities are twice as big, three times as big, half the size of the other, etc…

Writing ratios with units of measure (yards, miles, liters, centimeters, …) The Golden Rule: Before you write the ratio of two quantities, the numbers must be in same unit form. For example, meter to meter, feet to feet, gallons to gallons, … Ratio here is 2 : 1 because both the milk and water are the same unit, gallons.

= = 4 feet to 24 inches is NOT 4 : 24 It’s 4 feet to 2 feet, which is 4 : 2… It can also be 48 inches to 24 inches, 48 : 24. In every scenario, the simplified ratio would be 2 : 1. 4 2 48 2 2 1 24 1 = =

2 gallons to 4 quarts would NOT be 2 : 4… It would be 2 : 1. WHY? There are 4 quarts in 1 gallon. So, change the 4 quarts to 1 gallon. Then write the ratio.

You have to study your conversions to write ratios correctly. Inches Feet Yards Miles Cups Pints Quarts Gallons Ounces Pounds Tons mm cm m km ml l kl mg g kg

Inches, Feet, Yards, Miles How many feet in a mile? “Five Tomatoes”  5 - 2 - 8 - 0

Cups, Pints, Quarts, Gallons In the Gallon Hotel, there are 4 Queen beds. On each bed, there are 2 Pillows, and on each pillow, these are 2 Chocolate mints.

Ounces, Pounds, Tons x 16 x 2000