Grade 5 Problem Solving Process Standards 1. Aligns to 5.C.9 (* +) 6. Aligns to 5.AT.5 (* +) 2. Aligns to 5.AT.1 (* +) 7. Aligns to 5.AT.8 (* ) 3. Aligns to 5.AT.2 (two-pages) (* ) 8. Aligns to 5.G.2 (* ) 4. Aligns to 5.AT.3 (* ) 9. Aligns to 5.M.1 (* +) 5. Aligns to 5.AT.4 (* ) 10. Aligns to 5.M.3 (* +) 11. Aligns to 5.M.5 (* +) 12. Aligns to 5.M.6 (* ) 13. Aligns to 5.DS,1 (* ) ----------------------------------------------------------------------------------------------------------------- Directions for teachers: Do 1 or 2 of these problems per week. Grade them and go over them in class. Please give these directions to your students: Step 1: Show all work on each problem. Step 2: You will be given 8 minutes.
Grade 5 Math 1. Josh, Libby, and Jane are 5 th grade students in Mrs. Lewis class. The students were asked to evaluate the expression.6 + 5(3 + 4). The work for these three students is shown below. Josh s Work Libby s Work Jane s Work 6 + 5(3 + 4) = 11(3 + 4) = 11(7) = 77 6 + 5(3 + 4) = 6 + 5(7) = 6 + 35 = 41 6 + 5(3 + 4) = 6 + 5 x 3 + 4 = 6 + 15 + 4 = 21 + 4 + 25 Answer 77 Answer 41 Answer 25 Which student s work is correctly shown? Explain why this work is correct. You may use words, symbols or picture.
2. The 5 th grade class at Washington Elementary school is going on a field trip to the zoo. There are three classes in the 5 th grade as shown in the chart. 5 th grade classes at Washington Elementary School 5 th Grade Teacher Number of Students Mrs. Wells 27 Mr. Riley 25 Miss Land 29 : How many total 5 th grade students will go to the zoo? Answer students : Each school van can take a maximum of 15 students to the zoo. What is the least number of school vans needed to go to the zoo? Answer school vans
3. Jake and Ellen each ordered 10 inch individual pizzas at Frank s Diner. Jake had his pizza cut in six equal pieces. Ellen had her pizza cut in eight equal pieces. The models below show how many pieces of pizza Jake and Ellen ate. 10 inch Pizza 10 inch Pizza Pizza Eaten Pizza Pizza Eaten Eaten Pieces Eaten By Jake Pizza Eaten Pizza Eaten Pieces Eaten By Ellen Which person ate the most pizza? Answer Explain how you know.
3 Continued Part C Jake and Ellen ask for a take home box for their uneaten pizza. If Jake and Ellen combine their uneaten pizza, how much of a whole pizza is that? Answer Pizza Eaten Pizza Eaten Pizza Eaten Pizza Eaten
4. Miss Lang s 5 th grade class was requested to solve this fraction problem shown. 5 x 1 2 3 Jerry volunteered to shows his work to the class. 5 x 1 2 3 = Jerry s Work 5 x 5 3 = 1 5 x 5 3 = 5 15 = 1 3 Answer Circle above where Jerry made his first mistake. Show the correct way to solve 5 x 1 2 3. Answer
5. : A group of 5 students were given some left over pizza from a party. The left over pizza was 1 of a 14 inch pizza. The left over pizza is evenly shared 2 among the 5 students. How much of a whole pizza will each student get? Answer : A kindergarten class is to share equally 7 bags of candy. Each kindergarten student is to get 1 of a bag of candy. How many students are in the kindergarten 3 class? Answer students
6. Adam bought 2 shirts and 2 pairs of Jeans at the Value Mart Store. How much did Adam spend on the items? (do not include sales tax) Socks Belts Shirts Value Mart Store $2.75 a pair $10.59 each $15.78 each Jeans $29.52 a pair Shoes $59.81 a pair Answer $ Adam paid for his purchase with $100. How much change will Adam get back? Answer $
7. Miss Smith requires all of her 5 th grade students to have a notebook and ruler for math. Each notebook costs $3 and each ruler costs $2. Pick a variable(letter) to represent the total number of notebooks purchased by the class. Pick another variable(letter) to represent the total number of rulers purchased by the class. Part C Use the variables you picked in and to write an expression for the total amount of money spent in Miss Smiths class for both notebooks and rulers. Expression Part D So far in Miss Smith s class, 20 students have purchased notebooks and 15 students have purchased rulers. What is the total amount of money spent by these students? Answer: $
8. Put a large X on all the shapes that are quadrilaterals. Draw a picture of an obtuse triangle. Part C Draw a picture of an equilateral triangle.
9. At a party 5 gallons of fruit punch is served. How many servings will this make if each serving is one cup? Conversions 1 foot = 12 inches 1 yard = 3 feet 1 mile = 5,280 feet 1 mile = 1,760 yards 1 cup = 8 fluid ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts 1 pound = 16 ounces 1 ton = 2,000 pounds Answer servings 1 meter = 1,000 millimeters 1 meter = 100 centimeters 1 kilometer = 1,000 meters 1 gram = 1,000 milligrams 1 kilogram = 1,000 grams 1 liter = 1,000 milliliters At the party 5 gallons of the fruit punch weighted 18 kilograms. If 350 more grams of fruit punch is added, what is the total weight of fruit punch? Answer
10. Area of Rectangle = lw Area of Triangle = 1 2 bh Formulas Area of Parallelogram = bh Area of Trapezoid = 1 h(b1 + b2) 2 Volume of Right Rectangular Prism = lwh or Bh What is the area of the trapezoid-shaped window? 14 ft Window 13 ft 12 ft 13 ft 20 ft Answer square feet Find the volume of the right rectangular prism. 5 in. Answer cubic inches 10 in. 4 in.
11. Formulas Area of Rectangle = lw Area of Triangle = 1 2 bh Area of Parallelogram = bh Area of Trapezoid = 1 h(b1 + b2) 2 Volume of Right Rectangular Prism = lwh or Bh A cereal box of corn flakes is in the shape of a right rectangular prism. Find the volume of the corn flakes box. 16 in Answer cubic inches 10 in 10 in Todd noticed the corn flakes only came up to 12 inches inside the box. Find volume of corn flakes. 16 in 12 in 10 in 10 in Answer cubic inches
12. Formulas Area of Rectangle = lw Area of Triangle = 1 2 bh Area of Parallelogram = bh Area of Trapezoid = 1 h(b1 + b2) 2 Volume of Right Rectangular Prism = lwh or Bh The L shaped figure is made below with right rectangular prisms stuck together. Find volume of this shape. Show work 8 m 20 m 6 m 7 m 22 m Answer cubic meters
13. Jamie looked at the information shown in the bar graph. The 5 th grade students at Logan Elementary School were asked to select their favorite sport. 5th Grade Students Tennis S p o r t Volleyball Basketball Track 0 5 10 15 20 25 30 Number of Students Select all that are correct about the bar graph information. c The most popular sport selected was basketball. c The number of students that selected tennis and track was the same as the number of students that selected basketball. c There were a total of 70 students involved.