Converting Measures Lesson 5 (4 th 6 Weeks) TEKS 6.4A & 6.8D.

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Presentation transcript:

Converting Measures Lesson 5 (4 th 6 Weeks) TEKS 6.4A & 6.8D

Using a ratio (proportion) table or T- chart to represent relationships between measures 1. Organize the data in a table/chart InchesFeet xy

(# of inches ÷ by 12 = # of feet) 2. Look for a relationship between the measures. 3. Check the rule to determine whether it satisfies all remaining pairs of numbers. InchesProcessFeet xy 12 ÷ 12 = 1 24 ÷ 12 = 2 36 ÷ 12 = 3 48 ÷ 12 = 4 x ÷ 12 = y

Let x represent the number of inches and y represent the number of feet. 4. Write an equation or expression using variables to represent the relationship. InchesProcessFeet xy 12 ÷ 12 = 1 24 ÷ 12 = 2 36 ÷ 12 = 3 48 ÷ 12 = 4 x ÷ 12 = y Equations: x ÷ 12 = y or y = x ÷ 12 Expression: x ÷ 12

Using Proportions to Convert Measures EX: 12 pints = ______ quarts 1. Use your 6 th grade mathematics chart and write the relationship between the measures as a ratio in fraction form. x 1 quart = 2 pints 1 2 quart pint

2. Set up a proportion with the known measurement. 3. Solve for the unknown. 1 2 quart pint12 x 1 2 quart pint12 x 6 = 6

EX: 233 milliliters = _______ liter 1. Use your 6 th grade mathematics chart and write the relationship between the measure. 2. Let’s write what we know right above what we just wrote. 1 liter = 1000 milliliters ? liter = 233 milliliters

3. Notice how the milliliters forms a fraction. We can write the fraction as a decimal. 1 liter = 1000 milliliters ? liter = 233 milliliters liters