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1 STANDARDS 1.3, 1.6 Problem 1 Problems 3 Problem 2 PERCENT OF INCREASE OR DECREASE Problem 4 Problems 6 Problem 5 Problems 7 END SHOW PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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2 1.3 Convert fractions to decimals and percents and use these representations in estimations, computations and applications. 1.3 Convertir fracciones a decimales y porcentajes y usar estas representaciones en estimaciones, cálculos y aplicaciones. GRADE 7: Number Sense 1.6 Calculate the percentage of increase and decrease of a quantity. 1.6 Calcular el porcentaje de incremento y decremento de una cantidad. PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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3 % of CHANGE = CHANGE ORIGINAL NEW PRICE=$.60 What is the percent of change between the original price and the new? ORIGINAL PRICE=$.40 Original Price is $.40 and New Price is $.60. Find the percent of increase or decrease: STANDARDS 1.3, 1.6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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4 % of CHANGE = CHANGE ORIGINAL =$.20 % of CHANGE=.60 – = (100%) =.5 (.5) Now convert it to PERCENT: = 50 % What is the ratio that compares the change in price with the original price? So, the price was INCREASED 50% $.40 ORIGINAL PRICE $.60 – $.40 CHANGE IN PRICE Original Price is $.40 and New Price is $.60. Find the percent of increase or decrease: STANDARDS 1.3, 1.6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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5 % of CHANGE = CHANGE ORIGINAL NEW PRICE=$.22 What is the percent of change between the original price and the new? ORIGINAL PRICE=$.66 Original Price is $.66 and New Price is $.22. Find the percent of increase or decrease: STANDARDS 1.3, 1.6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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6 % of CHANGE = CHANGE ORIGINAL = -.44 % of CHANGE=.22 – = (100%) = Now convert it to PERCENT: = % = or What is the ratio that compares the change in price with the original price? So, the price was DECREASED approximately 66.7% $.22 – $.66 CHANGE IN PRICE -66.7% = Original Price is $.66 and New Price is $.22. Find the percent of increase or decrease: STANDARDS 1.3, 1.6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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7 % of CHANGE = CHANGE ORIGINAL NEW PRICE=$.59 What is the percent of change between the original price and the new? ORIGINAL PRICE=$.39 Original Price is $.39 and New Price is $.59. Find the percent of increase or decrease: STANDARDS 1.3, 1.6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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8 % of CHANGE = CHANGE ORIGINAL =$.20 % of CHANGE=.59 – = (100%) = Now convert it to PERCENT: = % = or What is the ratio that compares the change in price with the original price? So, the price was INCREASED approximately 51.3% $.39 ORIGINAL PRICE $.59 – $.39 CHANGE IN PRICE 51.3% Original Price is $.39 and New Price is $.59. Find the percent of increase or decrease: STANDARDS 1.3, 1.6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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9 % of CHANGE = CHANGE ORIGINAL NEW PRICE=$140 ORIGINAL PRICE=$120 Original Price is $120 and New Price is $140. Find the percent of increase or decrease: Change in price = $140 – $120 = $20 % of CHANGE= 140 – = What is the ratio that compares the change in price with the original price? = = = = (100%) % = or 16.7% So, the price was INCREASED approximately 16.7% 1 6 Convert to percent: STANDARDS 1.3, 1.6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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10 % of CHANGE = CHANGE ORIGINAL NEW NUMBER= 20 ORIGINAL NUMBER= 60 The number of deer in the zoo changed from 60 t0 20. What was the percent of change? Change in number = 20 – 60 = 40 % of CHANGE= 20 – = What is the ratio that compares the change in deer before and after? = = = (100%) % = or -66.7% So, the number of deer was DECREASED approximately 66.7% 6 6 Convert to percent: STANDARDS 1.3, 1.6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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11 % of CHANGE = CHANGE ORIGINAL NEW NUMBER= 200 ORIGINAL NUMBER= 80 The number of horses in a ranch changed from 80 to 200. What was the percent of change? Change in number = 200 – 80 = 120 % of CHANGE= 200 – = What is the ratio that compares the change in horses before and after? 3 2 = So, the number of horses was INCREASED approximately 150% STANDARDS 1.3, =1.5 (100%) (1.5) Now convert to PERCENT: = 150 % PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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12 % of CHANGE = CHANGE ORIGINAL Juniors in 2004 = 450 Juniors in 1979 = 150 In a High School there were 150 juniors in 1979, now in 2004 there are 450. What was the percent of change? Change in number = 450 – 150 = 300 % of CHANGE= 450 – = What is the ratio that compares the change in juniors from one year to the other? 2 1 = So, the number of juniors was INCREASED 200% STANDARDS 1.3, = 2 (100%) (2) Now convert to PERCENT: = 200 % PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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