Converting Customary Units Using Proportions.   Proportion: a balanced equation that shows the relationship among various quantities.  Fractions with.

Slides:



Advertisements
Similar presentations
Honors Geometry Section 8.2 A Ratios and Proportions
Advertisements

Measurement Lesson After completing this lesson, you will be able to say: I can define the standard units of measure for given quantities. I can.
7-1 6 th grade math Customary Units of Measurement.
MEASURING MASS. Customary Customary is a system of measurement we use here in the US. Most of the rest of the world uses the Metric system.
8-1 Converting Customary Units Learn to convert customary units of measure.
Converting Customary Units
Brainpop Customary Units
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Converting Customary Measurement Units
Weight in the Customary units JANUARY 16, Vocabulary  Weight- measure of how heavy an object is. Measured in pounds ounces and tons.
Converting from English to Metric Units Use conversion factors that are exact by definition 1 inch = 2.54 cm 1 ounce = g 1 quart = 0.946L or 946.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes 1.
4-1 Ratios & Proportions.
Proportions  A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal.  3 = 6 is an example of a proportion.
Percent Equations When fractions are equal or proportional:
Measurement Activities Virginia Standards of Learning Grade 4 SOL 4.10 a, b, c.
9-3 6 th grade math Finding a Percent of a Number.
Converting Customary Units Using Proportions.  1 cup (c) = 8 fluid ounces (fl. oz) 1 pint (pt) = 2 cups (c) 1 quart (qt) = 2 pints (pt) 1 gallon (gal)
Algebra I Vocabulary Chapter 2. Equations that have the same solution(s) are called.
8-3 6 th grade math Solving Proportions Using Cross Products.
Vocabulary A proportion is an equation stating that two ratios are equal. – Examples:or – The cross products of a proportion are equal. or.
Substitution Method: 1. Solve the following system of equations by substitution. Step 1 is already completed. Step 2:Substitute x+3 into 2 nd equation.
Section 3-4: Ratio and Proportion Objectives: 1)To find ratios and rates 2)To solve proportions.
DO NOW. OBJECTIVE : SWBAT Solve problems involving proportional relationships Convert between measurement systems using unit rates and using proportions.
Solving Proportions. 2 ways to solve proportions 1. Equivalent fractions (Old) Cross Products (New)
Chapter 7: Unit Conversions (Proportion method) If a student weighs 80 kg, how much does he weigh in pounds? Step 1. Find a conversion factor that relates.
Dimensional Analysis. Vocabulary Unit conversion factor- a fraction in which the numerator and denominator represent the same quantity in different units.
7-7 Percent of a Number Learn to find the percent of a number.
Finding a Percent of a Number
Warm Up. Any Questions on the Homework? Are we ok with solving complex equations?
SOLVING AND APPLYING PROPORTIONS
Warm up.
Proportions.
Cross Products and Proportions
Chapter 3 Ratios and Rates. Day….. 1.Test Revisions 2.Ratios 3.Proportional ReasoningProportional Reasoning 4.Unit Rates 5.End of Unit Assessment.
PowerPoint created by Parsheena Berch Resource : JBHM material Pictures: Google Images.
Review of solving Proportions.
Jeopardy VocabularyConversions Multiplication Division Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.
Transparency 7 Click the mouse button or press the Space Bar to display the answers.
5 Minute Check. 2 x 2 x 4 2 x 3 5 Minute Check.
Customary Measure – Mass/Weight The following are customary units for measuring Mass/weight 1 pound (lb)= 16 ounces (oz) 1 ton (T)= 2,000 pounds.
1 Customary Units of Capacity and Weight. 2 Customary Units of Capacity The most commonly used customary units of capacity are the ounce, cup, pint, quart,
Rational Exponents Use the rules for combining fractions when the exponents are rational numbers X 2 3 X 1 2 (()) = X = X = X 7.
9.6 Solving Rational Equations p.569. Hint for solving: A quick way to solve a rational equation is to multiply everything through by the LCD. This will.
Vocabulary ratio: a comparison of two numbers through division often expressed as a fraction. Proportion: An equation that states that two ratios are equal.
Converting Customary Units. Common Customary Measurements LengthWeightCapacity 1 foot = 12 inches1 pound = 16 ounces1 cup = 8 fluid ounces 1 yard = 36.
2.1 Rates, Ratios, and Proportions EQ: How can I use units to understand problems and guide the solution of proportions?
Proportions How to Write and Solve Them. PROBLEM: I saw at Office Depot that pencils were priced at a dozen for $1.50 How much is it for one pencil? How.
Linear Equations on One Variable
Measurement.
Ratios and Proportions
9.6 Solving Rational Equations
9.6 Solving Rational Equations
8.6 Solve Rational Equations
Bellringer How many pounds do you weigh? How many ounces?
Converting Repeating Decimals to Fractions
2 Understanding Variables and Solving Equations.
Warm Up Multiply. –2 1. –3 2. –15 – (2.8) 0.14
2 Understanding Variables and Solving Equations.
Board Work (Monday, ).
Solving Proportions.
Solving Equations with Variables on Both Sides
Solving Equations with Variables on Both Sides
MEASURING MASS.
MEASURING MASS.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Measurement.
Lesson 6-6 Customary Units of Weight
9.6 Solving Rational Equations
Presentation transcript:

Converting Customary Units Using Proportions

  Proportion: a balanced equation that shows the relationship among various quantities.  Fractions with equal cross products Vocabulary

  Same labels go on the same line  1 st fraction contains the conversion key  2 nd fraction contains information from the problem From key From problem 1 pound = 4 pounds 16 ounces x ounces Helpful hints to convert with proportions

 Conversion Key: 1 pound = 16 ounces 1 ton = 2,000 pounds 1. A box weighs 32 oz. How many pounds is that? From key From problem Proportion: = Cross products: 16(x) = 32(1) Guided Practice 1 pound 16 ounces X pounds 32 ounces

  CHECK FOR REASONABLENESS Small to large unit = smaller answer Check

 Conversion Key: 1 pound = 16 ounces 1 ton = 2,000 pounds 2. A bag of rice weighs 60 oz. How many pounds is that? From key From problem Proportion: = Cross products: 16(x) = 60(1) Guided Practice 1 pound 16 ounces X pounds 60 ounces

  CHECK FOR REASONABLENESS Small to large unit = smaller answer Check

  A monkey weighs 13 pounds. How many ounces is that?  The SWAT team van weighs 6 tons. How many pound is that? Try on your own

  1 st fraction: conversion chart  2 nd fraction: info in problem  Calculate cross products and solve for variable  Check for reasonableness Independent Practice