We are looking for the rate of rabbits to deer. So everything should be in the form rabbits:deer

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Name Ratio and Rates Word Problems - Step-by-Step Lesson Comparison Ratios Word Problems: Daniel and Paul went hunting. On the first day Daniel caught 3 rabbits and Paul caught 8 deer.

1 Name Ratio and Rates Word Problems - Step-by-Step Lesson Comparison Ratios Word Problems: Daniel and Paul went hunting. On the first day Daniel caught 3 rabbits and Paul caught 8 deer. On the second day Daniel caught 4 rabbits and Paul caught 7 deer. On which day of hunting did Daniel and Paul catch a higher ratio of rabbits to deer? Explanation: Step 1) First see what is being asked. We are looking for the rate of rabbits to deer. So everything should be in the form rabbits:deer Step 2) On the first day Daniel and Paul had the ratio of 3 to 8 or On the second day Daniel and Paul had the ratio of 4 to 7 or By converting them into percentages we can compare the ratios easily. Now convert the ratios into decimals and then to percentages = = 37.5 % = = % Now see which is the higher percentage % is larger than 37.5 % Step 3) The answer will be, Second day because on the second day of hunting they caught a higher ratio of rabbits to deer.

2 Name Ratio and Rates Word Problems - Guided Lesson Complete the following questions: 1) Complete the ratio table. a. b ). Circle the two ratios that are equal. a. 4 to 20 b. 6 to 36 c. 13 to 72 d. 5 to 25 3) Are these ratios equivalent? 3 pink umbrellas to 21 green umbrellas 6 pink umbrellas to 36 green umbrellas Yes no

3 Name Ratio and Rates Word Problems - Guided Lesson Explanation Explanation #1 Here we are working with equivalent ratios. 4 goes into 16, 4 times so that tells us we are going to need to use a multiple of 4. a) 4:12. Write the ratio as a fraction and multiply the numerator and denominator by the same number to find an equivalent ratio X 4 = Since 16 is already there, we have to write b) Same concept here. The multiple of 2 is missing in this 5:15 chart. Write the ratio as a fraction and multiply the numerator and denominator by the same number to find an equivalent ratio X 2 =

4 Name Explanation #2 We can see that the numbers can easily be reduced. Lets reduce them all to see which pair is equal. Step 3) a and d can easily be divided, so they are equal. a. 4 to 20 1:5 b. 6 to 36 1:6 c. 13 to 72 No common factors d. 5 to 25 1:5 Explanation #3 Step 1) If the cross products are equal, the two ratios are equal. Step 2) Write in fraction form: - 3:12 and 6:36 Now do cross multiplication, multiply the numerator of one fraction and the denominator of the other x 36 = 12 x = 72 The cross products are not equal, so the ratios are not equivalent. The answer will be: No

5 Name Ratio and Rates Word Problems - Independent Practice Worksheet Complete the following questions. I. Complete the ratio tables

6 Name II. Answer the following. 1. In Lisa s class, 24 of the students are tall and 12 are short. In Paul s class 15 students are tall and 20 students are short. Which class has a higher ratio of tall to short students? 2. At Janine s party, the orchestra has 10 guitar players and 8 flute players. At Brown s party, the orchestra has 12 guitar players and 7 flute players. Which party has a higher ratio of guitar to flute players? 3. Robert s recipe has 5 onions and 9 tomatoes for the pizza. Jeff s recipe has 8 onions and 10 tomatoes for the pizza. Whose recipe has a lower ratio of onions to tomatoes? 4. Lee bought 7 Zara jeans and 9 shirts from the Wall Street. Nancy bought 6 Zara jeans and 8 shirts from the Wall Street. Who has the lower ratio of jeans to shirts? III. Are these ratios equivalent? 4 bags to 8 purses 5 bags to 10 purses Yes No IV. Are these ratios equivalent? 12 birds to 60 animals 17 birds to 85 animals Yes No V. Are these ratios equivalent? 9 pencils to 50 erasers 7 pencils to 49 erasers Yes No

7 Name Ratio and Rates Word Problems - Matching Worksheet Choose and then match the ratio which is equivalent to 20 a. 1 to to 40 b. 7 to to 45 c. 20 to to 20 d. 10 to to 12 e. 11 to 88

8 Topic : Ratio Word Problems - Worksheet 1 Solve the following: 1. There are a total of 63 bikes. If the ratio of blue bikes to black bikes is 4 to 5, how many of the bikes are blue? 2. Paul can walk 15 steps in 5 minutes. How long does it take Paul to walk 75 steps at the same speed? 3. Candy is at the balloon shop and sees that 10 balloons cost $0.15. He needs 50 balloons to decorate his room. How much will 50 balloons cost? 4. It takes 8 people to pull a 16 ton truck. How many people would it take to pull a 60 ton truck? 5. Which is bigger, one fourth of 16 or one third of 24? 6. If a globe rotates through 150 degrees in 5 seconds, how many rotations does it make in 30 seconds? 7. If the ratio of white pens to green pens is 2 to 8 and there are a total of 30 pens, how many pens are white? 8. Giles is searching for a sock and discovers that he has 10 socks for every 5 pairs of shoes. If he has 20 socks, how many pairs of shoes does he have? 9. The sum of two numbers is 150. The ratio of the same two numbers is 3:2. Find the bigger number. 10. If the ratio of pink flower to blue flower is 3 to 6 and there are total 72 flowers, how many of them are pink?

9 Topic : Ratio Word Problems - Worksheet 2 Solve the following: 1. There are a total of 18 chairs. If the ratio of the red chairs to brown chairs is 2 to 4, how many of them are red? 2. Rock can read 10 books in 30 minutes. How long does it take Rock to read 15 books, if the speed is consistent? 3. Ricky is at the bakery shop when he sees that 8 pastries cost $160. He need 16 pastries. How much will 16 pastries cost? 4. It takes 10 people to pull a 50 ton bus. How many people would it take to pull a 100 ton bus? 5. Which is bigger, half of 40 or one fourth of 20? 6. If a ball rotates 110 degrees in 8 seconds, how many degrees does it rotate in 32 seconds? 7. If the ratio of red roses to yellow roses is 4 to 6 and there are a total of 50 roses, how many of them are yellow? 8. Freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pair of jeans. If he has 18 shirts, how many pairs of jeans does he have? 9. The sum of two numbers is 200 and the two numbers are in a ratio of 4:6. Find the larger number. 10. If the ratio of the purple flowers to black flowers is 4 to 8 and there are a total of 108 flowers, how many of the flowers are purple?

10 Topic : Ratio Word Problems - Worksheet 3 Solve the following: 1. There is a total of 25 bicycles. If the ratio of gray bicycles to black bicycles is 6 to 9, how many of them are black? 2. Ritz can eat 8 apples in 15 minutes. How long does it take Ritz to eat 16 apples at the same rate? 3. Tom is at McDonalds and he sees that 2 burgers cost $40. He needs 12 burgers. How much will 12 burgers cost? 4. It takes 12 people to pull 30 tons of goods. How many people would it take to pull 60 tons of goods? 5. Which is bigger, two thirds of 30 or one fifth of 25? 6. If a tire rotates through 250 degrees in 15 seconds, how many degrees does it rotate in 45 seconds? 7. If the ratio of purple bikes to red bikes is 8 to 12 and there are a total of 100 bikes, how many of them are purple? 8. Andrew is searching for a cup and discovers that he has 20 plates for every 5 pairs of cups. If he has 40 plates, how many pairs of cups does he have? 9. The sum of two numbers is 80. The ratio of those two numbers is 3:5. Find the larger number. 10. If the ratio of red hair bands to green hair bands is 5 to 9 with a total of 70 hair bands, how many of them are green?

11 Topic : Ratio Word Problems - Worksheet 4 Solve the following: 1. There are a total of 100 balloons. If the ratio of yellow balloons to blue balloons is 8 to 12, how many of them are yellow? 2. Furry can eat 10 mangoes in 5 minutes. How long does it take Furry to eat 18 mangoes at the same speed? 3. Harry is at the Pizza Hut and he sees that 5 pizzas cost $300. He needs 15 pizzas. How much does 15 pizzas cost? 4. It takes 24 people to pull a 50 ton iron rod. How many people would it take to pull a 150 ton iron rod? 5. Which is bigger, three fourth of 28 or two fourth of 28? 6. If a coin rotates through 160 degrees in 6 seconds, how many degrees does it rotate in 60 seconds? 7. If the ratio of blue shirts to green shirts is 5 to 12 with a total of 340 shirts, how many of the shirts are blue? 8. Rex is searching for bread and discovers that he has 40 buns for every 10 cubes of cheese. If he has 80 buns, how many cubes of cheese does he have? 9. The sum of two numbers is with a ratio of 15:10. Find the larger number. 10. If the ratio of silver nail paints to golden nail paints is 4 to 2 and there are total 60 nail paints, how many of them are golden?

12 Topic : Ratio Word Problems - Worksheet 5 Solve the following: 1. There are a total of 18 frocks. If the ratio of purple frocks to white frocks is 2 to 4, how many of them are white? 2. Johnny can eat 5 chocolates in 2 minutes. How long does it take Johnny to eat 10 chocolates at the same rate? 3. Gerry is at Dominos and sees that 2 choco-lava cakes cost $50. He needs 6 choco-lava cakes. How much will those 6 choco-lava cakes cost? 4. It takes 16 people to pull a 30 ton cable wire. How many people would it take to pull a 60 ton cable wire? 5. Which is bigger, half of 30 or one third of 75? 6. If a marble rotates through 180 degrees in 9 seconds, how many degrees does it rotate in 18 seconds? 7. If the ratio of black jeans to blue jeans is 6 to 18 with a total of 240 jeans. How many of them are blue? 8. Rex is searching for shoes and discovers that he has 25 pairs of shoes for every 15 pairs of socks. If he has 50 pairs of shoes, how many socks does he have? 9. The sum of two numbers is 300 and the two numbers have a ratio of 20:10. Find the larger number. 10. If the ratio of red roses to pink roses is 5 to 4 and there are a total of 45 roses, how many of them are red?

13 Topic : Ratio Word Problems - Worksheet 1 Complete the following word problems. 1. Which is bigger, one seventh of 14 or half of 36? 2. Bob can draw 14 shapes in 7 minutes. How long does it take Bob to draw 28 shapes at the same rate? 3. Jack is at a shop and sees that 5 antiques cost $10. He needs 30 antiques to make a small museum. How much will the 30 antiques cost? 4. It takes 16 people to play a 30 minute Rugby game. How many people would it take to play a 60 minute game? 5. Which is smaller, half of 36 or one-seventh of 42? 6. If a bottle rotates through 270 degrees in 3 seconds, how many degrees does it rotate in 2 seconds? 7. Which is larger, one-thirteenth of 26 or one-sixth of 72? 8. Mazy is looking for his bow and discovers that he has 20 shirts for every 2 pair of bows. If he has 50 shirts, how many pairs of bows does he have? 9. Two numbers are in a ratio of 7:4. Their sum is 220. Find the bigger number. 10. Which is smaller, one-sixth of 54 or one-third of 21?

14 Topic : Ratio Word Problems - Worksheet 2 Complete the following word problems 1. Which is smaller, one-sixth of 54 or one-third of 21? 2. Jimmy can draw 16 circles in 4 minutes. How long does it take Jimmy to draw 32 circles at the same rate? 3. Jixi is at the shop and sees that 7 antiques cost $14. He needs 56 antiques to create a small museum. How much will 56 antiques cost? 4. It takes 14 people to play a 42 minute football game. How many people would it take to play a 60 minute football game? 5. Which is bigger, one-third of 18 or three-fourths of 20? 6. If the big hand of the clock rotates through 90 degrees in 15 minutes, how many degrees are made in 45 minutes? 7. Which is smaller, two-thirds of 27 or two-fifths of 20? 8. Mickey is looking for his ties and discovers that he has 20 shirts for every 4 ties. If he has 30 shirts, how many ties does he have? 9. Two numbers are in a ratio of 5:4. Their sum is 720. Find the bigger number. 10. Which is smaller, one-ninth of 54 or one-fourth of 36?

15 Topic : Ratio Word Problems - Worksheet 3 Complete the following word problems 1. Which is bigger, one-eighth of 24 of three-fourths of 24? 2. Cheeky can draw 15 squares in 5 minutes. How long does it take Cheeky to draw 75 squares at the same rate? 3. Emmy is at the shop and sees that 6 antiques cost $12. She needs 36 antiques to make a small museum. How much will the antiques cost? 4. It takes 15 people to play a 13 minute pool game. How many people would it take to play a 39 minute game? 5. Which is smaller, one-fifth of 40 or three-fourths of 36? 6. If a bottle rotates 140 degrees in 70 minutes, how many degrees will it rotate in 28 minutes? 7. Which is smaller, two-fifths of 25 or one-sixth of 42? 8. Davis is looking for his trousers and discovers that he has 24 shirts for every 8 trousers. If he has 18 shirts, how many trousers does he have? 9. Two numbers are in a ratio of 3:6.Their sum is 63.Find the bigger number. 10. Which is bigger, two-sevenths of 35 or one-third of 45?

16 Topic : Ratio Word Problems - Worksheet 4 Complete the following word problems 1. Which is smaller, one fourth of 28 or one fourth of 24? 2. Alma can draw 4 triangles in 12 minutes. How long does it take Alma to draw 28 triangles at the same rate? 3. John is at the shop and sees that 5 antiques cost $10. He needs 25 antiques to make a small museum. How much will 25 antiques cost? 4. It takes 12 people to play a 4 minute pool game. How many people would it take to play a 36 minute game? 5. Which is smaller, one-sixth of 36 or three-fourths of 16? 6. If a bottle rotates through 250 degrees in 50 minutes, how many degrees will it rotate in 5 minutes? 7. Which is lesser, one eighth of 24 or one seventh of 42? 8. Duke is looking for his trousers and discovers that he has 25 shirts for every 5 trousers. If he has 10 shirts, how many trousers does he have? 9. Two numbers are in a ratio of 5:3.Their sum is 64.Find the bigger number. 10. Which is bigger, two-fifths of 35 or one-ninth of 45?

17 Topic : Ratio Word Problems - Worksheet 5 Complete the following word problems 1. Which is bigger, one third of 24 or one fourth of 40? 2. Kelly can draw 15 shapes in 3 minutes. How long does it take Kelly to draw 5 shapes at the same rate? 3. George is at the shop and sees that 6 antiques cost $18. He needs 48 antiques to make a small museum. How much will 48 antiques cost? 4. It takes 10 people to play a 5 minute pool game. How many people would it take to play a 30 minute game? 5. Which is bigger, one-fifth of 35 or two-sixths of 24? 6. If a bottle rotates through 150 degrees in 30 minutes, how many degrees will it rotate in 5 minutes? 7. Which is bigger, one fifth of 45 or half of 42? 8. Harry is looking for his trousers and discovers that he has 50 shirts for every 25 trousers. If he has 20 shirts, how many trousers does he have? 9. Two numbers are in a ratio of 4:3.Their sum is 63.Find the bigger number. 10. Which is smaller, one-fifth of 30 or one-ninth of 27?

Mathematics Curriculum

K GR A D E Mathematics Curriculum GRADE K MODULE 1 Answer Key GRADE K MODULE 1 Numbers to 10 Lesson 1 Answer Key Lesson 1 Line drawn from big squirrel to little squirrel Line drawn from little rabbit to