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# Problem Solving

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• Several activities to help students understand the differences between chance and probability. Common Core: Grade 6 Statistics and Probability: 6.SP.A.1, 6.SPA.2

• Six pages of Valentine's Day illustrations with math facts to solve and color by number. Two pages each of addition facts and subtraction facts. One page each of double facts and double plus one facts. All numbers are under 20.

• Interactive rules and practice of word problems involving real world situations in converting units of money, time, length/distance, liquid volume and weight in U.S. standards. CC: Math: 5.MD.A.1

• Roll the dice and move across the board by division equations. Laminate for a fun, reusable classroom game.

• Two pages of decimal division with twenty equations per page. Includes decimals to the tenths and hundredths places.

• Two pages of decimal division with six word problems per page. Includes decimals to the tenths and hundredths places.

• A set of problem solving cards with 6 different scenarios. Some of them are brain teasers, and you may need to think in different ways to solve the problem.

• A set of 6 word problems, with lines to show work.

• A set of problem solving cards with 6 different scenarios.

• Problem solving cards with six different scenarios.

• An explanation of multiple-step word problems with ten problems and an answer sheet.
• Directions for regrouping in addition, subtraction, and multiplication. One page for each skill, plus examples.
• Three colorful math posters explain the rules for regrouping ("carrying") in addition.
• Three colorful math posters explain the rules for regrouping ("borrowing") in addition.
• A poster to describe a suggested method of solving word problems.
• An 8 page pumpkin shape book of math word problems related to October and Halloween.
• A five page pumpkin shaped booklet with a story problem on each page.

• Math Tools sign illustrated with a protractor.
• Classroom sign, Problem Solving, illustrated with a girl and thinking bubble.
• Some suggestions for using the many word problem pages available on abcteach.com
• Math problems to figure out which teams won their games, reading a graph; plus designing a superbowl commercial and a general knowledge crossword puzzle.
• "Ms. Lawson hid 365 eggs in her yard for an egg hunt. The children found 329 eggs. How many eggs did they NOT find?"
• "Cathy bought a bottle of glue and a box of crayons. How much did she spend?" Use the price list to solve these simple addition problems.
• Practice math skills using a restaurant menu.
• "Mike and his family all had dinner in a French restaurant in Montreal. The meal cost \$150 Canadian. What was the average cost of the meal per person, in U.S. dollars?" Four word problems with converting Canadian to US dollars.
• "Tickets for a tour of the Great Wall of China are 50 rmb for adults and 30 rmb for children ages 12-24. How much does it cost for Simon and his family in all? How much in dollars?" Four word problems for converting pesos to dollars.
• "Marie's family all had lunch in a small patisserie. The meal cost €48. What was the average cost of the meal per person, in dollars?" Four word problems for converting euros to dollars.
• "Petra wants to buy a small replica of the pyramid at Chichén Itzá. She has \$15 left. The pyramid costs 200 pesos. Does she have enough money?" Four word problems for converting pesos to dollars.
• "Tori and her family go on a tour of St. Basil’s Cathedral. Tickets are 120 rubles for adults; admission is free for children 12 and under. How much does it cost for Tori and her family in all? How much in dollars?" Four word problems for converting rubles to dollars.
• "Cowboy Tom helped at a roundup. He earned \$1.50 for every cow he caught. The first week, he caught 99 cows. The second week he caught 273. How many did he catch altogether?" Five addition problems.
• "Cowboy Tom worked from seven in the morning until three in the afternoon yesterday building two miles of fence. He was paid \$48. What was his hourly wage?"
• "Cowboy Jake is afraid of rattlesnakes. He sees a lot of them on the ranch where he lives. In fact, he sees an average of thirty every year. About how many has he seen in the nine years he has lived on the ranch?"
• "Cowboy Jake is competing in a rodeo. In the last event, a bull kicks him in the arm and breaks it, but he still wins \$144 in all. How much does he have left after he pays a doctor \$66 to put his arm in a cast?"
• "It takes 55% less water to make recycled paper than normal paper... How much water would the same factory use to make the same amount of normal paper?" Five word problems with an environmental theme.
• The imaginative setting of a pizza parlor is used to help with fractions. If each person wants three slices, and everyone wants extra cheese, but only two people want mushrooms....
• "We know that, on average, each tree absorbs from 13 to 48 pounds of carbon dioxide per year. We have planted 15 trees. How much carbon dioxide absorption will the trees we’ve already planted enable in the next 50 years?" Five math problems with an environmental theme.
• "The Wizard Mandragon has a part-time job making flying brooms for witches. This year he had a special Halloween sale and sold brooms for \$40 each. He earned a total of \$240. How many brooms did he sell?" Five Halloween-themed division problems.
• "Four witches meet at Halloween. Each one brings four black cats with her. How many black cats are at the meeting?"
• "Smith & Smith Ghost Eradication Services is a company that removes ghosts from haunted houses. If each haunted house has an average of three ghosts, how many ghosts can be removed in a month?" Five Halloween themed multiplication word problems.

• "Anne is a witch. She has two black cats. How many more does she have to find if she needs ten black cats for her spell?" Five Halloween-themed word problems.
• Three pages of complex math problems draw on critical thinking skills and logic in order to find the correct solution.
• "For lunch at the Renaissance Fair, Tyler and Amanda each buy a turkey leg and an apple dumpling. Each food item costs \$3.50. How much do their lunches cost altogether?"
• "Mary did six exercises and studied three pages a day. By the end of one week, how many exercises had she done, and how many pages had she studied?" One page of word problems, with addition, subtraction, and multiplication.
• "On her tenth birthday, Ashleigh received \$20 from her Aunt Liz..." Several pages of word problems about money using everyday examples that students can easily understand.
• "Lisa bought 5 pencils at the school store. The cost of each pencil is 33 cents. How much did Lisa pay for her purchase?" One page, five problems.
• "Tom wants a cell phone that costs \$70. He has \$50 and he is saving \$4 a week..." Practical math with realistic situations.
• "How many e-mails does he forward in one week altogether?" One page; 12 word problems with contemporary themes.
• Thomas had a bag with 30 marbles. If 12 of them are red, what is the probability that he will pull a red one out randomly? Common Core: Grade 6 Statistics and Probability: 6.SP.A.1, 6.SPA.2

• "Last year there were 89 third graders at Johnson Elementary School. This year there are five more." Five school-themed math addition problems.
• "There are three rows of pencils. Each row has four pencils. How many colored pencils does Yoko have?" Five school-themed multiplication problems.
• "There are two boys in every row on Bruce’s bus. How many boys are there in two rows?" Five school-themed math problems using skip counting.
• "Matt has to read a 53-page book by tomorrow. So far he has read 48 pages. How many more pages does he have to read?" Five school-themed subtraction word problems.
• Michael had nineteen balloons. Eight of them were red, four were blue, two were yellow, and the rest were green. How many were green? Six word problems.
• Create a story problem for this answer: Jacob had four caramel apples left over. Six word problems.
• Amanda had \$3.00. She bought a hot dog for \$1.35, chips for 35 cents, and a drink for 85 cents. Did she have enough money? Did she have money left over? If so, how much? Six word problems.
• Joseph has two cousins. The sum of their ages is 18 years. One cousin is four years older than the other. Mrs. Smith guessed that the ages were 7 and 11. Was her guess correct? Six word problems.
• John finished a bicycle race in second place. The first four people crossed the finish line at: one-twenty, a quarter after one, five minutes to one and 1:07. What time did John cross the finish line? Six word problems.
• Robert went to the store with \$10.00. He bought a notebook, three pencils and two erasers. He came home with \$2.89. How much money did he spend? Six word problems.
• Jennifer wants to buy a new hockey puck that costs \$5.25. She has \$2.30. She can earn 50 cents an hour by raking leaves. How many hours will she have to work to get the money she needs? Six word problems.
• Kyle had four bags of candy that he bought for \$1.50 per bag. Each bag has six pieces of candy in it. How many more bags does he need to buy to give each of his twenty-five classmates one piece? How much will it cost altogether? Six word problems.
• Cody had nineteen pieces of candy. He gave five away. Then he ate six pieces. He traded four pieces for a baseball card. How many pieces of candy does he have left? Six word problems.
• Create a story problem for this answer: "Morgan caught four turkeys." Six word problems.
• Dylan poured punch at the class party. There are twenty-five people in Dylan’s class. He gave each person 100 ml of punch. How many liters of punch did the class need for the party? Six word problems.
• Heather says, "I have two numbers in mind. When I subtract the smaller from the larger, the difference is seven. When I multiply the two numbers, the product is eighteen. What are my two numbers?" Six word problems.
• There are pictures of snakes in three overlapping circles. There are ten snakes in circle A, twenty snakes in circle B, and thirteen snakes in circle C. Six of the snakes are in both circles A and B. Five of the snakes are in both circles B and C. How many snakes are there in all? Six word problems.
• Abigail saw the same number of pigs and chickens at the farm. She counted twelve legs. How many were pig legs and how many were chicken legs? Six word problems.
• Andrea brought seventy-five Valentines candies to school. If there are twenty-eight students in her class, how many candies can each student have if Andrea wants them all to have the same amount? Will there be any left over? Six word problems.
• Mr. Wilder is taller than Ms. White. Mr. Singer is shorter than Ms. White. Ms. Jackson is taller than Ms. White, but she is not the tallest teacher. Put all of these teachers in order according to their height. Six word problems.
• Jordan has eight apples. Cameron has half as many apples as Jordan. Natalie has three-quarters as many apples as Cameron. How many apples does each person have? How many do they have altogether? Six word problems.
• Brooke has eleven flowers. She has more tulips than roses. What are the possible combinations of tulips and roses, if she only has these two types of flowers? Six word problems.
• Dakota went to the store. He bought three note pads for \$.75 each, four pencils at 2 for \$.35 and one candy bar, which was being sold at 3 for \$1.80. How much money did he spend? How much did he get back from the \$10.00 he gave the clerk? Six word problems.
• Paige, Cassandra, and Katie earned \$12.45 by working for a neighbor. Assuming they worked equal amounts, what would each girl’s share be? Six word problems.
• Sydney got twenty-one e-mails on Monday, nineteen on Tuesday, thirty-seven on Wednesday, eight on Thursday, and twenty-three on Friday. How many e-mails did she get on Monday, Tuesday, Wednesday, and Friday, combined? Six word problems.
• 21 pages of word problems; six problems per page. Pages are lettered. Some sets of questions contain a "brain teaser".
• Answers to the word problems from sets A-U, grouped by page.
• All the word problems from sets A-U, unnumbered and unformatted; these can be cut into strips and glued into math journals for daily practice. Answers are provided.
• "Ed and his sister are helping cook Thanksgiving dinner. They decide to have a potato-peeling contest. Ed peels twenty-two. His sister peels six more than that. How many did she peel?" Five Thanksgiving-themed addition word problems.
• "Mike and his brother Pat are selling pumpkins they grew. If Mike sells nine and Pat sells seven, how many do they sell in all?" Five Thanksgiving-themed addition word problems.
• "Myron analyzed the caloric content of his Thanksgiving dinner for his science class. His serving of stuffing had 619 calories. His serving of pumpkin pie had 780 calories. His serving of turkey had 282 calories. How many calories were there in his stuffing and turkey combined?"
• "Bud is helping his mother bake an apple pie for Thanksgiving dinner. He peels the apples. It takes him two minutes to peel an apple. How long does it take him to peel seven apples?" Five Thanksgiving-themed multiplication word problems.
• "Mr. Vogel is a farmer. He raised twenty turkeys this year. He sold eighteen and kept two as pets. He charged sixteen dollars per turkey. What was the total selling price?" Five Thanksgiving-themed multiplication word problems.
• "Greg and his friends are making Thanksgiving decorations. Each child makes five. How many do four children make? How many do five make? How many do six make?" Five Thanksgiving-themed skip counting (by fives) word problems.
• "Eddie can pick and clean ten pumpkins per hour. How many can he do in four hours? How many in five? How many in six?" Five Thanksgiving-themed skip counting (by tens) word problems.
• "Renee’s mother has forty-eight pieces of pumpkin pie on the counter in the kitchen on Thanksgiving. The dog eats six while she’s not looking. How many pieces of pie are left?"
• "Yolanda’s Thanksgiving turkey weighs twenty pounds. Her family eats seventeen pounds at dinner. How many pounds are left?"
• "For his science class at school, Charles wants to calculate how much his relatives eat on Thanksgiving. He weighs the food before it is served and then he weighs the leftovers. The food weighed 960 ounces. The leftovers weighed 89 ounces. How many ounces of food did his family eat?"
• "Look at the clock. What time does Brenda get up on Thanksgiving Day?" Five time-telling questions with clocks.
• "The duckling lived in a farm with 45 animals. There were 10 pigs, 12 goats, 5 dogs, 2 horses and the rest were sheep." Choose the equation that best expresses the word problem.
• Four addition word problems with a Valentine's Day theme.
• "Clem really likes cross country skiing. Last week he skied twenty-one miles. This weekend he skied seven more miles. How many miles did he ski altogether?" Five winter-themed addition word problems.
• "Pierre wants to buy a new mountain bike that costs \$999. This summer, he earned \$476 mowing lawns. This winter he has already earned \$201 shoveling snow. How much money has he earned so far this year?" Five winter-themed addition word problems.
• "A group of people are cross-country skiing. Altogether, they ski one hundred ninety-six miles. There are fourteen people in the group. How far does each one ski, on average?"
• "Mike's hockey team has scored an average of four goals in each of their last ten games. How many goals have they scored in all?" Five winter-themed multiplication word problems.
• "Tracy collects forty-eight icicles for her science class. They are twenty-five inches long on average. What is the total length of the icicles Tracy collects?" Five winter-themed multiplication word problems.
• "Bob's class is cutting out paper snowflakes to decorate the classroom. If each child cuts out two snowflakes, how many do five children cut? Six children? Seven children?" Five winter-themed word problems with skip counting by 2s, 5s, and 10s.
• "Rebecca is going skiing with her family. It is a seventy-mile drive to the mountain where they ski. They have driven forty miles so far. How far is it to the mountain now?" Five winter-themed subtraction word problems.
• "Bob and his friends are baking cookies for a school fundraiser. They baked eight hundred thirty-two cookies. However, they ate sixty-nine of them. How many cookies are left?" Five winter-themed subtraction word problems.
• "There are fourteen boys in Mark’s chess club. For Thanksgiving they participate in a food drive. They visit 70 houses and collect a total of 210 cans of food. How many cans of food did they collect per house, on average?" Five Thanksgiving-themed division problems.
• One digit with regrouping. Two addends; columns; five pages plus answers.
• This math worksheet helps students practice determining average speed.
• Converting word problems into equations and solving the equations. Common Core Math: 5.OA.1

Common Core_Math_6.EE.A.1, 6.EE.A.2, 6.EE.A.3,
• Writing addition and subtraction word problems as numerical equations.
• "Here is a table of what Jenny planted in the new flower garden. Read the table and answer the questions."
• A one page worksheet ranging from simple (increasing ingredients for a larger cake) to difficult (with decimals to the third place).