Models and Pictorials Warm - up Remember…? Power point Represent Independent Practice Any Way You Like 1

Remember…? (warm – up) Provide three different representations of 32.5%. Decimal: 0.325 Fraction: = Shading for the hundredth grid may vary from student to student; ensure 32 and one-half squares are shaded in. Hundredth grid:

Represent Model 1 Model 2 What percent does model 1 represent? Model 2? Model 1 represents 130% Model 2 represents ½% Percents greater than 100% or less than 1% can be written as decimals.

Represent How could we determine the Mixed number and decimal equivalence? How could we determine the fraction and decimal form? Model 2 Model 1 Model 2 = 1 2 % ½ of a square shaded 100 total Model 1 = 130% = 130 100 A percent greater than 100% equals a number greater than 1 So ½% = 0.5%Look 00.5% Teacher Notes: Discuss with students model 1 represents a mixed number where the whole number and fraction are written together with the understanding they are to be added to together. . = 1 30 100 .005 1 3 10 Decimal form or Mixed Number form .005 1000 Fraction form = 1.3 Decimal form

Solution: 5 8 . 1 2 5 8 - 8 1 .00 2 -16 4 -40 to a decimal. Convert 14 karat gold is 58 1 % pure gold. Write the number 8 as a decimal. Solution: Convert to a decimal. 5 8 . 1 2 5 Set up long division on the fraction part and complete the division. 8 - 8 1 .00 2 -16 4 -40 Place whole number in front of decimal.

How much of these square are Red? 3 + 1 3 There are 3 whole squares and 1 of another square. 3 3 3 3 . 3 1 .00 Show how to convert the decimal equivalence form of this model - 9 1 - 9 It is read as Three and thirty-three hundredths 1 When a decimal value continuously to repeats the same values, it is called a … Repeating decimal

Move decimal point 2 places to the LEFT and remove the % sign. Example: Express 38.2 % as a decimal Move decimal point 2 places to the LEFT and remove the % sign. 38.2 % .382 = Express 38.2 % as a decimal 1.25 125 % =

Represent A collectable action figure sold for 193% of its original price. Write the percent as a decimal and as a mixed number or fraction in simplest form. The size of a large milk shake is 1.4 times of the size of the medium milk shake. Write 1.4 as a percent and fraction. 1.4 = 1.4 193% 193 % = = 140% Percent form . = 1.93 Decimal form 1 93 100 = 40 100 = 4 10 Fraction form 1 1 1.40 = Fraction form

Complete the Table Fractions should be in simplest form Percent Decimal Fraction 180% 266.7% 2.6 2 2 1 10 442.9% 4 180 = 4 1000 25 1.80 5 0.058 4.429

Represent How do we change the quotient 4 to a percent? What is the percent equivalent of the whole number 4? 4 4 % 4 1 4 1 4 -4 1 Does this solution agree with the earlier pictorial representation?