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Use Model Drawing in Four-Step Process. Step 2. Step 1. Main Idea of Question. Step 3. Step 4. Describe how the problem was solved. Work the computation (s). Four Step Process. Model Drawing. Main Idea Read the problem. Write the main idea in the question. Details
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Use Model Drawing in Four-Step Process Step 2 Step 1 • Main Idea of Question Step 3 Step 4 • Describe how the problem was solved. • Work the computation (s).
Four Step Process Model Drawing • Main Idea • Read the problem. • Write the main idea in the question. • Details • Write who the problem is about (related to main idea.) • Write what the problem is about (related to main idea.) • Draw unit bars of equal length. • Re-read the problem one sentence at a time adjusting the unit bars to match the story and identify the question on the model. • Strategy • Work the computation (s). • How • Describe how the problem was solved.
Extra Information • If a child understands that the details are what is needed to answer the main idea of the question, he will NOT include the extra information in the details. • Try to keep students focused on what the question is asking them to find. • However, if the child includes the extra information in the drawing, placing the ? in the model will help them understand that the extra information is NOT needed.
Put Together Addition
Jeff has 33 toys. Austin has 22 toys. Austin has 22 toys. Jeff has 33 toys. How many toys do they have together? How many toys do they have together? Step 1 Step 2 22 ] Austin Jeff toys toys Toys together ? 33 Step 4 Step 3 22 + 33 Add 22 and 33. 55
Devion has 52 games for his Juan has 32 games for his Gameboy Gameboy. Cody has 24 games for his. Juan has 32 games for his Gameboy. Devion has 52 games for his Gameboy. Cody has 24 games for his. Juan gave 15 of his games to Cody. Which number sentence shows Cody’s number of games? Juan gave 15 of his games to Cody. Which number sentence shows Cody’s number of games? Step 2 Step 1 32 Juan Devion Cody games games games | X 15 Cody’s # games 52 24 15 ξ| ? Step 3 Step 4
Take Away Subtraction
She ate 6 of the 25 jelly beans in a bag. Ms. Hernandez has 10 chocolates and She put the rest of the jelly beans in a jar. jelly beans. Which way can be used to find how many jelly beans are in the jar? Ms. Hernandez has 10 chocolates and 25 jelly beans in a bag. She ate 6 of the jelly beans. She put the rest of the jelly beans in a jar. Which way can be used to find how many jelly beans are in the jar? Step 2 Step 1 25 X| J Jelly beans Ms. H Jelly beans jar 6 ? Step 3 Step 4
John wanted to buy a bicycle that cost $285 and a helmet that cost $39. He was able to get $19 taken off the price of the bicycle because he John wanted to buy a bicycle that cost $285 and a helmet that cost $39. He was able to get $19 taken off the price of the bicycle because he used a coupon from the newspaper. With the coupon, how much did the bicycle cost John not including tax? With the coupon, used a coupon from the newspaper. how much did the bicycle cost John not including tax? Step 2 Step 1 $285 | John bicycle money X ] Bicycle cost $19 ? Step 3 Step 4 $285 - $19 Subtracted $19 from $285. $266 Fourth Grade
John wanted to buy a bicycle that cost $285 and a helmet that cost $39. He was able to get $19 taken off the price of the bicycle because he John wanted to buy a bicycle that cost $285 and a helmet that cost $39. He was able to get $19 taken off the price of the bicycle because he used a coupon from the newspaper. With the coupon, how much did the bicycle cost John not including tax? With the coupon, used a coupon from the newspaper. how much did the bicycle cost John not including tax? Step 2 Step 1 $285 | John bicycle money helmet money ] X Bicycle cost $19 ? |§§§§ $39 Step 3 Step 4 $285 - $19 Found the difference between $19 and $285. $266 Fourth Grade
At breakfast, the temperature outside was 68 degrees F. At lunchtime it had and then by dinnertime it had gone down 2 degrees F. gone up 5 degrees F, At breakfast, the temperature outside was 68 degrees F. At lunchtime it had gone up 5 degrees F, and then by dinnertime it had gone down 2 degrees F. What was the temperature at dinnertime? What was the temperature at dinnertime? Step 2 Step 1 68 5 temperature Temperature dinnertime X 2 ? Step 3 Step 4 68 +5 73 -2 Find the sum of 68 and 5. Find the difference of 73 and 2. 71 73
At breakfast, the temperature outside was 68 degrees F. At lunchtime it had and then by dinnertime it had gone down 2 degrees F. gone up 5 degrees F, At breakfast, the temperature outside was 68 degrees F. At lunchtime it had gone up 5 degrees F, and then by dinnertime it had gone down 2 degrees F. What was the temperature at dinnertime? What was the temperature at dinnertime? Step 2 Step 1 68 5 temperature Temperature dinnertime 73 73 X 2 ? Step 3 Step 4 68 +5 Find the sum of 68 and 5. Find the difference of 73 and 2. 73 -2 73 71
Compare Subtraction
There are 18 children in Ms. Fry’s homeroom class. There are more boys than girls. What additional information is needed to find how many more boys than girls are in Ms. Fry’s homeroom? There are 18 children in Ms. Fry’s homeroom class. There are more boys than girls. What additional information is needed to find how many more boys than girls are in Ms. Fry’s homeroom? Step 2 Step 1 B ] Boys Girls Ms. Fry’s info-more boys than girls ] 18 ? G Step 3 Step 4
Missing Part Subtraction
Fifteen balls are baseballs Jeff has 204 balls. and the rest are soccer balls. How many are Jeff has 204 balls. Fifteen balls are baseballs and the rest are soccer balls. How many are soccer balls? soccer balls? Step 1 Step 2 204 ] | Jeff balls B S soccer balls 15 ? Step 3 Step 4 24 - 15 Found the difference between 24 and 15. 9
Abby went to the mall with $15 in her purse. After she bought a book and popcorn, she had $7 left. If the book costs $6, which of these B P shows one way to find the amount that Abby spent on the popcorn? Abby went to the mall with $15 in her purse. After she bought a book and popcorn, she had $7 left. If the book costs $6, which of these shows one way to find the amount that Abby spent on the popcorn? Step 2 Step 1 $15 L P Way-money spent popcorn B Abby money $6 $7 ? Step 3 Step 4
and Victoria’s parents spent $81 at the shoe store. Victoria’s shoes cost $24, The rest of the money was spent on her brother her sister’s shoes cost $29. Victoria’s parents spent $81 at the shoe store. Victoria’s shoes cost $24, and her sister’s shoes cost $29. The rest of the money was spent on her brother Carlos’ shoes. How much money was spent on Carlos’ shoes? Carlos’ shoes. How much money was spent on Carlos’ shoes? Step 1 Step 2 $81 V S C V. parents money ] $29 Money Carlos’ shoes $24 ? Step 3 Step 4 $57 -$29 Subtracted $24 from $81. Subtracted $29 from $57. $81 _ $24 81 – 24 - 29 $28 $57 Ecourage students to see multiple ways!
Multiple Step Operations Add and Subtract
Warner Elementary has 1,125 students enrolled in PK to 5th grade. What is McFee Elementary has 238 fewer students in PK to 5th grade. Warner Elementary has 1,125 students enrolled in PK to 5th grade. McFee Elementary has 238 fewer students in PK to 5th grade. What is the total number of students in the 2 newest Cy-Fair schools? the total number of students in the 2 newest Cy-Fair schools? Step 2 Step 1 1125 ] Warner McFee Students Students ? Students 2 new schools 238 887 ζ| Step 3 Step 4 1,125 + 887 1,125 - 238 Subtracted 238 from 1,125. Added 887 and 1,125. 887 2,012
Mel had 26 more baseball cards than Donny had 148 baseball cards. Bruce had 11 fewer baseball cards than Mel. How many baseball Donny. Donny had 148 baseball cards. Mel had 26 more baseball cards than Donny. Bruce had 11 fewer baseball cards than Mel. How many baseball cards did Bruce have? cards did Bruce have? Step 2 Step 1 148 Donny Mel Bruce Bb cards Bb cards Bb cards Baseballs-Bruce 148 26 148 26 |ξ ? 11 Step 3 Step 4 Found sum of 148 and 26. Found the difference between 174 and 11. 148 + 26 174 - 11 163 174
and Victoria’s parents spent $81 at the shoe store. Victoria’s shoes cost $24, The rest of the money was spent on her brother her sister’s shoes cost $29. Victoria’s parents spent $81 at the shoe store. Victoria’s shoes cost $24, and her sister’s shoes cost $29. The rest of the money was spent on her brother Carlos’ shoes. How much money was spent on Carlos’ shoes? Carlos’ shoes. How much money was spent on Carlos’ shoes? Step 2 Step 1 $24 ] Victoria Sister Carlos Shoes Shoes Shoes Money Carlos’ shoes $29 $81 ? Step 3 Step 4 $24 + $29 $81 - $53 Find the sum of $24 and $29. Subtracted the sum from $81. $28 $53
Put Together Equal Sets Multiplication
Each bag has 5 toys. Jeff has 4 bags. Jeff has 4 bags. Each bag has 5 toys. How many total toys does Jeff have? ] How many total toys does Jeff have? Step 1 Step 2 4 5 5 5 5 bags of toys Jeff total toys ? Step 3 Step 4 5 5 5 + 5 Added 5 four times. 5 x 4 Found the product of 5 and 4. 20 20
Each Mrs. Cassidy bought 9 packages of party plates to use for a special party. package contained 8 party plates. The party plates cost $48 altogether. Mrs. Cassidy bought 9 packages of party plates to use for a special party. Each package contained 8 party plates. The party plates cost $48 altogether. Which number sentence can be used to find how many party plates in all Mrs. Cassidy bought? Which number sentence can be used to find how many party plates in all Mrs. Cassidy bought? Step 1 Step 2 $48 Plates Ms C 8 8 8 8 8 8 8 8 8 NS-party plates Ms Cassidy bought P1 P2 P3 P5 P6 P8 P9 P4 P7 ? Step 3 Step 4 9 x 8 Found the product of 9 and 8. 72
Aaron exercises every day of the week. If he does 25 jumping jacks each day, how many jumping jacks will he do Aaron exercises every day of the week. If he does 25 jumping jacks each day, how many jumping jacks will he do in 1 week? in 1 week? Step 2 ? Step 1 25 jump jacks 25 Aaron 25 25 25 25 25 3 7 6 4 5 Jumping jacks 1 week 1 2 Step 3 Step 4 25 X 7 Found the product of 25 and 7. 175 Fourth Grade
Ms. Lee has 12 boxes of crayons. Each box has 16 crayons. Ms. Lee has 12 boxes of crayons. Each box has 16 crayons. How many crayons does she have? How many crayons does she have? Step 2 12 Step 1 Ms. Lee boxes of crayons 16 16 16 16 crayons … ? Step 3 Step 4 16 X 12 Multiplied 16 by 12. 32 16 . 192
Take Away Equal Sets Division
Juan made paper roses for his girlfriend. He made )117 9 paper roses each day. How many days did it take Juan made paper roses for his girlfriend. He made 9 paper roses each day. How many days did it take him to make 117 roses? him to make 117 roses? Step 2 Step 1 117 9 9 9 Juan paper roses days to make roses D ? Day 1 Day 2 Day 3 … Step 3 Step 4 Divided 117 by 9. 13 9
Juan made paper roses for his girlfriend. He made )117 9 paper roses each day. How many days did it take Juan made paper roses for his girlfriend. He made 9 paper roses each day. How many days did it take him to make 117 roses? him to make 117 roses? Step 2 Step 1 117 9 9 … 9 paper roses Juan - - - - - - - - - days to make roses … D ? Day 1 Day 2 Day 3 Step 3 Step 4 Divided 117 by 9. 13 9
Multi-Operation Multiplication and Division
Manny bought pencils that were priced at 3 for 45¢. What was the total cost of 8 pencils? Manny bought pencils that were priced at 3 for 45¢. What was the total cost of 8 pencils? ? Step 2 45¢ Step 1 Manny pencils 3 7 2 6 4 8 5 Total cost 8 pencils 1 Looking at the model, what are other ways? Step 3 Step 4 15¢ ___ 3)45¢ 15¢ X 8 Divided 45 by 3 and multiplied the quotient by 8. $1.20 Fourth Grade
Manny bought pencils that were priced at 3 for 45¢. What was the total cost of 8 pencils? Manny bought pencils that were priced at 3 for 45¢. What was the total cost of 8 pencils? ? Step 2 45¢ Step 1 Manny pencils 3 7 2 6 4 8 5 Total cost 8 pencils 1 Step 3 Step 4 15¢ ___ 3)45¢ 15¢ X 8 Divided 45 by 3 and multiplied the quotient by 8. $1.20 Fourth Grade
Theo bought 2 books for $4 each and 3 pencils for $1 each. . sentence can be used to find the total amount of money in dollars Theo spent? 4 x 2 3 x 1 8 + 3 8 3 11 Which number Theo bought 2 books for $4 each and 3 pencils for $1 each. Which number sentence can be used to find the total amount of money in dollars Theo spent? Step 1 Step 2 2 Theo Books Pencils NS-money spent $4 $4 ? 3 $1 $1 $1 Step 3 Step 4 Found the product of 4 and 2. Found the product of 3 and 1. Found the sum of the products.
Alex bought lemons that were priced at 2 lemons for 18¢. total cost of 5 lemons? What was the Alex bought lemons that were priced at 2 lemons for 18¢. What was the total cost of 5 lemons? Step 1 Step 2 $18 Alex lemons Cost 5 lemons 5 4 1 2 3 ? Step 3 Step 4 ____ )18 9 9 X 5 2 Find the quotient of 18 and 2. Find the product of 9 and 5. 45
Coin Z is worth 3 Theo has 4 old coins: W, X, Y and Z. Coin Y is worth $2. . times the value of coin Y. Coin W is worth 4 times the value of coin Y. The 4 coins are worth $30 altogether. Theo has 4 old coins: W, X, Y and Z. Coin Y is worth $2. Coin Z is worth 3 times the value of coin Y. Coin W is worth 4 times the value of coin Y. The 4 coins are worth $30 altogether. What is the value of coin X? What is the value of coin X? Step 1 Step 2 $2 $2 $2 $2 $8 Coin W Coin X Coin Y Coin Z Theo ? Value of coin X $30 $2 $2 $2 $2 $6 Step 3 Step 4 8 2 + 6 Found sum of 8, 2, and 6. Found the difference between 16 and 30. 30 -16 14 16