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

GRADE 7: Number Sense 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. 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

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

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

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

CHANGE % of CHANGE = ORIGINAL . Original Price is $.66 and New Price is $.22. Find the percent of increase or decrease: CHANGE % of CHANGE = 6 6 ORIGINAL .44 .66 =0.66 44 6600 - 39 6 44 What is the ratio that compares the change in price with the original price? - 39 6 44 .22 –.66 % of CHANGE = .66 -.44 = .66 . 22 = -0.66 44 6600 $.22 – $.66 CHANGE IN PRICE = -0.66 2 300 Now convert it to PERCENT: -0.66 2 300 % = -66 2 3 (100%) = -.44 or -66.7% So, the price was DECREASED approximately 66.7% STANDARDS 1.3, 1.6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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

CHANGE % of CHANGE = ORIGINAL Original Price is $.39 and New Price is $.59. Find the percent of increase or decrease: CHANGE % of CHANGE = ORIGINAL What is the ratio that compares the change in price with the original price? .59 –.39 % of CHANGE = .39 5 1 .20 .20 .39 = =0.51 11 3900 - 19 5 .39 5 =0.51 11 3900 $.59 – $.39 CHANGE IN PRICE - 39 $.39 ORIGINAL PRICE 11 Now convert it to PERCENT: 0.51 11 3900 % = 51 11 39 (100%) =$.20 or 51.3% So, the price was INCREASED approximately 51.3% STANDARDS 1.3, 1.6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

CHANGE % of CHANGE = ORIGINAL . . Original Price is $120 and New Price is $140. Find the percent of increase or decrease: % of CHANGE = CHANGE ORIGINAL ORIGINAL PRICE=$120 Change in price = $140 – $120 NEW PRICE=$140 = $20 What is the ratio that compares the change in price with the original price? 140 – 120 % of CHANGE = 1 6 120 . 2 1 6 = 0.16 2 300 . 2 =0.16 4 600 20 - 6 = 4 120 - 36 1 6 = 4 = 0.16 2 300 So, the price was INCREASED approximately 16.7% Convert to percent: 0.16 2 300 % = 16 2 3 (100%) or 16.7% STANDARDS 1.3, 1.6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

CHANGE % of CHANGE = ORIGINAL . The number of deer in the zoo changed from 60 t0 20. What was the percent of change? % of CHANGE = CHANGE ORIGINAL ORIGINAL NUMBER= 60 Change in number = 20 – 60 NEW NUMBER= 20 = 40 What is the ratio that compares the change in deer before and after? 20 – 60 % of CHANGE = 6 6 60 2 3 . 20 =0.66 2 300 - 40 - 18 = 2 60 - 18 2 3 = - 2 = -.66 2 300 So, the number of deer was DECREASED approximately 66.7% Convert to percent: -.66 2 300 % = -66 2 3 (100%) or -66.7% STANDARDS 1.3, 1.6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

CHANGE % of CHANGE = ORIGINAL . The number of horses in a ranch changed from 80 to 200. What was the percent of change? % of CHANGE = CHANGE ORIGINAL ORIGINAL NUMBER= 80 Change in number = 200 – 80 NEW NUMBER= 200 = 120 What is the ratio that compares the change in horses before and after? 200 – 80 % of CHANGE = 80 1 5 . 40 120 3 2 = 2 80 1 3 2 = 10 =1.5 So, the number of horses was INCREASED approximately 150% Now convert to PERCENT: (1.5) (100%) = 150 % STANDARDS 1.3, 1.6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

CHANGE % of CHANGE = ORIGINAL . In a High School there were 150 juniors in 1979, now in 2004 there are 450. What was the percent of change? % of CHANGE = CHANGE ORIGINAL Juniors in 1979 = 150 Change in number = 450 – 150 Juniors in 2004 = 450 = 300 What is the ratio that compares the change in juniors from one year to the other? 450 – 150 % of CHANGE = 150 . 150 300 = 150 2 1 = = 2 So, the number of juniors was INCREASED 200% Now convert to PERCENT: (2) (100%) = 200 % STANDARDS 1.3, 1.6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved