READING, WRITING & SKETCHING

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Presentation transcript:

READING, WRITING & SKETCHING MATHEMATICS BASELINE Copyrights A. J. Dupree

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Word Problem: A farmer grew 20 orange trees Word Problem: A farmer grew 20 orange trees. One day, he found 10 oranges on each tree. How many oranges in all did he find on that day?

Word Problem: A farmer grew 20 orange trees Word Problem: A farmer grew 20 orange trees. One day, he found 10 oranges on each tree. How many oranges in all did he find on that day? Tell which equation will solve the word problem using the following formula: X x Y = A 20 +10 = A 20 – 10 = A 20 / 10 = A 20 x 10 = A

Tell what is the answer to this problem. A farmer grew 20 orange trees. One day, he found 10 oranges on each tree. How many oranges in all did he find on that day? Tell what is the answer to this problem. 200 2000 10 120

Word Problem: The farmer collected 200 oranges from his trees Word Problem: The farmer collected 200 oranges from his trees. He decided to sell half of the oranges. How many oranges did he decide to sell?

Word Problem: The farmer collected 200 oranges from his trees Word Problem: The farmer collected 200 oranges from his trees. He decided to sell half of the oranges. How many oranges did he decide to sell? Tell which equation will solve this word problem using the following formula: A / B = C 200 + 2 = C 200 – 2 = C 200 / 2 = C 2 / 200 = C

Tell what is the answer to the problem. Word Problem: The farmer collected 200 oranges from his trees. He decided to sell half of the oranges. How many oranges did he decide to sell? Tell what is the answer to the problem. 100 oranges 10 oranges 200 oranges 120 oranges

Word Problem: Suppose the farmer planted 5 more trees Word Problem: Suppose the farmer planted 5 more trees. If the farmer started with 20 trees and planted 5 more trees, how many trees does the farmer now have in all?

Word Problem: Suppose the farmer planted 5 more trees Word Problem: Suppose the farmer planted 5 more trees. If the farmer started with 20 trees and planted 5 more trees, how many trees does the farmer now have in all? Tell which equation will solve this word problem using the following formula: B + C = T 20 + 5 = T 20 – 5 = T 20 x 5 = T 20 / 5 = T

Tell what is the answer to this problem. Word Problem: Suppose the farmer planted 5 more trees. If the farmer started with 20 trees and planted 5 more trees, how many trees does the farmer now have in all? Tell what is the answer to this problem. 125 trees 25 trees 1000 trees 15 trees

Word Problem: The farmer’s next harvest with 25 trees equals 250 oranges. If the farmer sells all the oranges for 50 cents each, how much will he collect?

Word Problem: The farmer’s next harvest with 25 trees equals 250 oranges. If the farmer sells all the oranges for 50 cents each, how much will he collect? Tell which equation will solve this word problem using the following formula: A x B = C 250 + 25 +50 = C 250 - .50 = C 250 x .50 = C 250 / 50 = C

Word Problem: The farmer’s next harvest with 25 trees equals 250 oranges. If the farmer sells all the oranges for 50 cents each, how much will he collect? Tell what is the answer to this problem. $25.00 $125.00 125 $150.00

Word Problem: A car drives 50 miles per hour Word Problem: A car drives 50 miles per hour. How far does the car travel in 60 minutes? :15 :00 1:00 :30 :45 12.5 Miles 37.5Miles 25 Miles Miles 50 Miles

:45 1:00 :00 :15 :30 Tell which formula can explain the word problem. Word Problem: A car drives 50 miles per hour. How far does the car travel in 60 minutes? Tell which formula can explain the word problem. :45 1:00 :00 :15 :30 Distance = speed x time Time = distance x speed Speed = distance / time Time = distance/speed

:45 1:00 :00 :30 :15 In this word problem, 60 minutes = what? 60 hours Word Problem: A car drives 50 miles per hour. How far does the car travel in 60 minutes? In this word problem, 60 minutes = what? :45 1:00 :00 :30 :15 60 hours 50 minutes 50 miles 1 hour

:45 1:00 :00 :15 :30 Tell what is the solution to this problem. Word Problem: A car drives 50 miles per hour. How far does the car travel in 60 minutes? Tell what is the solution to this problem. :45 1:00 :00 :15 :30 50 miles 300 miles 60 hours 1 hour

Word Problem: Suppose the car was moving at 70 miles per hour Word Problem: Suppose the car was moving at 70 miles per hour. How far can the car travel in 5 hours? 5:00 2:00 4:00 :00 1:00 3:00

Word Problem: Suppose the car was moving at 70 miles per hour Word Problem: Suppose the car was moving at 70 miles per hour. How far can the car travel in 5 hours? Tell which equation will solve this word problem using the following formula: A x B = C :00 4:00 3:00 1:00 2:00 70 x 60 = C 70 x 55 = C 70 x 5 = C 70 x 30 = C

1:00 4:00 :00 3:00 2:00 Tell what is the solution to this problem. Word Problem: Suppose the car was moving at 70 miles per hour. How far can the car travel in 5 hours? Tell what is the solution to this problem. :00 4:00 3:00 1:00 2:00 350 miles 450 miles 60 hours 1 hour

Word Problem: Suppose the car was moving at 70 miles per hour Word Problem: Suppose the car was moving at 70 miles per hour. How far can the car travel in 1 half of an hour? :20 :00 :10 :30

Word Problem: Suppose the car was moving at 70 miles per hour Word Problem: Suppose the car was moving at 70 miles per hour. How far can the car travel in 1 half of an hour? Tell how 30 minutes compares to ½ of an hour? :30 :20 :00 :10 ½ = 30 ½ = 20 60 = 33 60 = 30 +2

Word Problem: Suppose the car was moving at 70 miles per hour Word Problem: Suppose the car was moving at 70 miles per hour. How far can the car travel in 1 half of an hour? Tell which equation will solve this word problem using the following formula: A x B = C :30 :20 :00 :10 70 + 30 = C 70 x 1/ 2 = C 70 X .3 = C 70 x 6 = C

1:00 4:00 :00 3:00 2:00 Tell what is the solution to this problem. Word Problem: Suppose the car was moving at 70 miles per hour. How far can the car travel in 1 half of an hour? Tell what is the solution to this problem. :00 4:00 3:00 1:00 2:00 70 miles 21 miles 75 miles 35 miles

Word Problem: Allen was asked to set the table for 8 people Word Problem: Allen was asked to set the table for 8 people. There were 12 glasses in the cabinet. How many glasses will Allen not need for the table?

Word Problem: Allen was asked to set the table for 8 people Word Problem: Allen was asked to set the table for 8 people. There were 12 glasses in the cabinet. How many glasses will Allen not need for the table? Tell which equation will solve this word problem using the following formula: C – B = A 4 - 12 = A 12 / 4 = A 8 – 12 = A 12 – 8 = A

Tell what is the answer to this problem. Word Problem: Allen was asked to set the table for 8 people. There were 12 glasses in the cabinet. How many glasses will Allen not need for the table? Tell what is the answer to this problem. 4 glasses 3 glasses 8 glasses 16 glasses

Word Problem: The table will now need plates, forks, knives, and spoons. How many pieces of tableware will the table need altogether?

Word Problem: The table will now need plates, forks, knives, and spoons. How many pieces of tableware will the table need altogether? Which equation will solve the word problem? (Formula: A x D =T) 8 + 4 = T 8 / 4 = T 8 x 4 = T 8 – 4 = T

Tell what is the solution to this problem. Word Problem: The table will now need plates, forks, knives, and spoons. How many pieces of tableware will the table need altogether? Tell what is the solution to this problem. 38 pieces 11 pieces 32 pieces 24 pieces

Word Problem: Allen learned that four of his guests will be arriving late and will skip the meal. This means 4 of 8 people will be eating. Of all the pieces, how many pieces of tableware including plates, glasses, forks, knives, and spoons will not be needed?

Which equation will solve this word problem? A ( X x Y= P ) Word Problem: Allen learned that four of his guests will be arriving late and will skip the meal. This means 4 of 8 people will be eating. Of all 40 pieces, how many pieces of tableware including plates, glasses, forks, knives, and spoons will not be needed? Which equation will solve this word problem? A ( X x Y= P ) 8 x 4 = ½ = P 1/3 x 8 x 5 = P .5 ( 8 x 5) = P 4 x (8 x 5) = P

Tell what is the solution to this problem. Word Problem: Allen learned that four of his guests will be arriving late and will skip the meal. This means 4 of 8 people will be eating. Of all 40 pieces, how many pieces of tableware including plates, glasses, forks, knives, and spoons will not be needed? Tell what is the solution to this problem. 20 pieces 42.5 pieces 16 pieces 160 pieces

Word Problem: Allen ordered soup and salad from the Salad Station for himself and his 3 guests. Each serving of soup costs $5.75 and each serving of salad costs $5.50. How much will Allen pay for the meals altogether? $ $ $ $ $ $ $ $

4 X ($5.50 + $5.75) = M 3 X ($5.75+ $5.50) = M ($5.50 + $5.75) / 4 = M Word Problem: Allen ordered soup and salad from the Salad Station for himself and his 3 guests. Each serving of soup costs $5.75 and each serving of salad costs $5.50. How much will Allen pay for the meals altogether? Tell which equation will solve this word problem using the following formula: A x (B + C) = M) 4 X ($5.50 + $5.75) = M 3 X ($5.75+ $5.50) = M ($5.50 + $5.75) / 4 = M 80 -$11.00 = M

Tell what is the solution to this word problem? Word Problem: Allen ordered soup and salad from the Salad Station for himself and his 3 guests. Each serving of soup costs $5.75 and each serving of salad costs $5.50. How much will Allen pay for the meals altogether? Tell what is the solution to this word problem? $99.00 $35.50 $45.00 $55.55

7:00 am 8:00 am 1:00 pm 4:00 pm 2:00 pm 3:00 pm 9:00 am 10:00 am Word Problem: Shane arrived to school one morning and remembered that he left the light on in his bedroom. Shane left for school at 7:00 am, and he will get home from school at 4:00 pm. How long will the light be on in Shane’s room? 7:00 am 9:00 am 10:00 am 11:00 am 12:00 pm 8:00 am 1:00 pm 4:00 pm 2:00 pm 3:00 pm

7:00 am 8:00 am 1:00 pm 2:00 pm 4:00 pm 3:00 pm 10;00 am 9:00 am Word Problem: Shane arrived to school one morning and remembered that he left the light on in his bedroom. Shane left for school at 7:00 am and he will get home from school at 4:00 pm. How long will the light be on in Shane’s room? Tell which equation will solve this word problem using the following formula: (A - B) + (C + D) = T 1:00 pm 7:00 am 10;00 am 8:00 am 9:00 am 2:00 pm 11:00 am 4:00 pm 3:00 pm 12:00 pm (12 - 7) + (0 + 4) = T (7 + 4) + (7 + 4) = T (12 -7) + (4 x 0) = T 7 + 12 + 4 = T

1:00 pm 8:00 am 4:00 pm 2:00 pm 7:00 am 3:00 pm 9:00 am 12:00 pm Word Problem: Shane arrived to school one morning and remembered that he left the light on in his bedroom. Shane left for school at 7:00 am and he will get home from school at 4:00 pm. How long will the light be on in Shane’s room? Tell what is the answer to this word problem. 1:00 pm 9:00 am 8:00 am 4:00 pm 2:00 pm 7:00 am 12:00 pm 10;00 am 3:00 pm 11:00 am 23 hours 11 hours 9 hours 20 hours

7:00 am 11:00 am 12:00 pm 12:30 pm 7:30 am 11:30 am 10:00 am 10:30 pm Word Problem: Suppose school was in session for a half day, and Shane left school at 12:00 pm. It took Shane 30 minutes to get home. This means that Shane left home at 7:00 am and arrived back at home at 12:30 pm. If Shane forgot to turn off the light in his bedroom when he left home at 7:00 am, how long was Shane away from home with the light on in his room? 7:00 am 11:00 am 12:00 pm 12:30 pm 9:00 am 7:30 am 11:30 am 8:30 am 8:00 am 10:00 am 10:30 pm 9:30 am

12:30 pm 11:00 am 7:30 am 11:30 am 12:00 pm 7:00 am 10:30 pm 10:00 am Word Problem: Suppose school was in session for a half day and Shane left school at 12:00 pm. It took Shane 30 minutes to get home. This means that Shane left home at 7:00 am and arrived back at home at 12:30 pm. If Shane forgot to turn off the light in his bedroom when he left home at 7:00 am, how long was Shane away from home with the light on in his room? Tell which equation will solve this word problem using the following formula: A – B = T 12:30 pm 11:00 am 7:30 am 9:00 am 11:30 am 8:30 am 12:00 pm 7:00 am 9:30 am 10:30 pm 8:00 am 10:00 am 12:00 – 7:00 = T 12 :30 – 7:00 = T 12:00 + 7:00 = T 12:30 + 7:00 = T

1:00 pm 2:00 pm 7:00 am 8:00 am 4:00 pm 3:00 pm 9:00 am 12:00 pm Word Problem: Suppose school was in session for a half day and Shane left school at 12:00 pm. It took Shane 30 minutes to get home. This means that Shane left home at 7:00 am and arrived back at home at 12:30 pm. If Shane forgot to turn off the light in his bedroom when he left home at 7:00 am, how long was Shane away from home with the light on in his room? Tell what is the solution to this word problem? 1:00 pm 9:00 am 8:00 am 7:00 am 2:00 pm 4:00 pm 12:00 pm 11:00 am 3:00 pm 10;00 am 5 hours 5 hours and 30 minutes 17 hours 17 hours and 30 minutes

1:00 pm 4:00 pm 2:00 pm 3:00 pm 9:00 am 11:00 am 10:00 am 12:00 pm Word Problem: Shubert and his family finished painting the house and are headed to the beach to celebrate. It takes them 3 hours to get to the beach. They want to arrive at the beach before lunchtime. If they leave at 9 o’clock in the morning, what time will they arrive at the beach? 9:00 am 11:00 am 12:00 pm 10:00 am 1:00 pm 4:00 pm 2:00 pm 3:00 pm

4:00 pm 1:00 pm 2:00 pm 3:00 pm 9:00 am 11:00 am 10:00 am 12:00 pm Word Problem: Shubert and his family finished painting the house, and are headed to the beach to celebrate. It takes them 3 hours to get to the beach. They want to arrive at the beach before lunchtime. If they leave at 9 o’clock in the morning, what time will they arrive at the beach? Tell which equation will solve this word problem using the following formula: A + C = B o’clock 9:00 am 12:00 pm 4:00 pm 11:00 am 1:00 pm 10:00 am 2:00 pm 3:00 pm 9 + 3 = B o’clock 9 – 3 = B o’clock 12 - 9 + 3 = B o’clock 9 X 3 = B o’clock

4:00 pm 1:00 pm 2:00 pm 3:00 pm 9:00 am 11:00 am 10:00 am 12:00 pm Word Problem: Shubert and his family finished painting the house and were headed to the beach to celebrate. It takes them 3 hours to get to the beach and they want to arrive at the beach before lunchtime. If they leave at 9 o’clock in the morning, what time will they arrive at the beach? Tell what is the solution to this word problem? 9:00 am 12:00 pm 4:00 pm 11:00 am 1:00 pm 10:00 am 2:00 pm 3:00 pm 3 o’clock 6 o’clock 1 o’clock 12 o’clock

3:00 pm 5:00 pm 4:00 pm 6:00 pm 1:00 pm 2:00 pm 7:00 pm 12:00 pm Word Problem: Suppose Shubert and his family have lunch and go kiting at the beach. It takes them 2 hours to have lunch and 2 hours to go kiting. If they arrive at the beach at noon and it takes them 3 hours to drive back home, what time will they get home? 3:00 pm 5:00 pm 4:00 pm 7:00 pm 6:00 pm 1:00 pm 12:00 pm 2:00 pm

3:00 pm 5:00 pm 4:00 pm 6:00 pm 1:00 pm 2:00 pm 7:00 pm 12:00 pm Word Problem: Suppose Shubert and his family have lunch and go kiting at the beach. It takes them 2 hours to have lunch and 2 hours to go kiting. If they arrive at the beach at noon and it takes them 3 hours to drive back home, what time will they get home? Tell which equation will solve this word problem using the following formula: (A + (B + C + D) = H 3:00 pm 5:00 pm 4:00 pm 7:00 pm 6:00 pm 1:00 pm 12:00 pm 2:00 pm 12:00 + (2 + 2 + 3) = H 12:00 – 7 = H 3:00 - (12:00 + 4)= H A + B + C + H = 0

3:00 pm 5:00 pm 4:00 pm 6:00 pm 1:00 pm 2:00 pm 7:00 pm 12:00 pm Word Problem: Suppose Shubert and his family have lunch and go kiting at the beach. It takes them 2 hours to have lunch and 2 hours to go kiting. If they arrive at the beach at noon and it takes them 3 hours to drive back home, what time will they get home? Tell what is the solution to this word problem. 3:00 pm 5:00 pm 4:00 pm 7:00 pm 6:00 pm 1:00 pm 12:00 pm 2:00 pm 9:00 pm 7:00 am 7:00 pm 3:00 am

Word Problem: Brian went shopping on Saturday to purchase a new suit for the graduation. When he arrived at the department store, he noticed a sign that read “50% Off All Merchandise”. Brian purchased a suit, tie, shirt and shoes. The suit was $100; the tie was $20; the shirt was $35; and the shoes were $75. How much did Brian pay for all the items?

Word Problem: Brian went shopping on Saturday to purchase a new suit for the graduation. When he arrived at the department store, he noticed a sign that read “50% Off All Merchandise”. Brian purchased a suit, tie, shirt and shoes. The suit was originally $100; the tie was $20; the shirt was $35; and the shoes were $75. How much did Brian pay for all the items? Tell which equation will solve this word problem using the following formula: E x ( A + B + C + D) = M .5 x (100 x 20 x 75 x 35) = M 50 X (100 + 20 + 75) = M 5 + (100 x 20 x 75 + 35) = M .5 x (100 + 20 + 75 + 35) = M

Word Problem: Brian went shopping on Saturday to purchase a new suit for the graduation. When he arrived at the department store, he noticed a sign that read “50% Off All Merchandise”. Brian purchased a suit, tie, shirt and shoes. The suit was originally $100; the tie was $20; the shirt was $35; and the shoes were $75. How much did Brian pay for all the items? What is the solution to this word problem? $23 $115 $240 $100

Word Problem: Suppose Brian went shopping, and there was a sale that was priced at 60% off all merchandise. Brian purchased a suit, tie, shirt, and shoes. The suit was $100; the tie was $20; the shirt was $35; and the shoes were $75. How much did Brian save for all the items? $

Tell which equation will solve this word problem. Word Problem: Suppose Brian went shopping, and there was a sale that was priced at 60% off all Merchandise. Brian purchased a suit, tie, shirt and shoes. The suit was originally $100; the tie was $20; the shirt was $35; and the shoes were $75. How much did Brian save for all the items? Tell which equation will solve this word problem. .6 x (100 x 20 x 75 x 35) = M 60 X (100 + 20 + 75) = M 6 + (100 x 20 x 75 + 35) = M (100 + 20 + 35 +75) x .6 = M

Tell what is the answer to this word problem. Word Problem: Suppose Brian went shopping, and there was a sale that was priced at 60% off all Merchandise. Brian purchased a suit, tie, shirt and shoes. The suit was originally $100; the tie was $20; the shirt was $35; and the shoes were $75. How much did Brian save for all the items? Tell what is the answer to this word problem. $138 $1380 $236 $0

Tell which equation will solve this word problem. Word Problem: Suppose Brian went shopping, and there was a sale that was priced at 60% off all Merchandise. Brian purchased a suit, tie, shirt and shoes. The suit was originally $100; the tie was $20; the shirt was $35; and the shoes were $75. How much did Brian spend for all the items? Tell which equation will solve this word problem. .6 x (100 x 20 x 75 X 35) / 230 = M 6 + (100 x 20 x 75 + 35) = M 60 X (100 + 20 + 75) - 230= M 230 – (100 + 20 + 75 + 35 x .6) = M

What is the solution to this word problem? Word Problem: Suppose Brian went shopping, and there was a sale that was priced at 60% off all Merchandise. Brian purchased a suit, tie, shirt and shoes. The suit was originally $100; the tie was $20; the shirt was $35; and the shoes were $75. How much did Brian spend for all the items? What is the solution to this word problem? $238 $92 $120 $115

Word Problem: Al went shopping for her graduation Word Problem: Al went shopping for her graduation. She went to the department store and purchased eight items for $100 each. The items were priced at 75% off the original price. How much did she save?

Word Problem: Al went shopping for a graduation suit Word Problem: Al went shopping for a graduation suit. She went to the department store and purchased eight items for $100 each. These items were 75% off the original price. How much did she save? Tell which equation will solve the word problem using the following formula: .75 x (800 x 8) = M 75 x (100 +8) = M 75 x (100 x 8) = M .75 x (100 x 8) = M

Tell what is the solution to this word problem. Word Problem: Al went shopping for a graduation suit. She went to the department store and purchased eight items for $100 each. These items were 75% off the original price. How much did she save? Tell what is the solution to this word problem. $600 $758 $200 $800

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