Smaug to Bilbo: “A pony can only carry 200 pounds of treasure. How many ponies would you need to carry your one-fourteenth share of my treasure?”
Is Bilbo smarter than a 5th grader? He hadn’t thought of “cartage and tolls.”
This is the second set of story problems based on The Hobbit. The problems form a continuous narrative that can be read independently of the book or the movie.
This collection includes the events recounted in Chapters 8-13 in the book, which roughly corresponds to Part 2 of the movie released in December, 2013. These problems are appropriate for students in Grades 4-6.
There are problems requiring all 4 whole-number operations including 2- and 3-digit numbers…problems requiring students to read and use tables and graphs…multistep problems…problems requiring conversion of units of measure, a packing puzzle (hobbits into a boat, not cubes into boxes) , distributive property problems, problems with extraneous information, and so on.
Solutions and a detailed set of notes on the problems is included at the end.
Common Core Standards:
3.OA.3: “Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities...”
3.OA.5: “Apply properties of operations as strategies to multiply and divide…”
3.OA.8: “Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity.”
3.MD.3: “Solve one- and two-step problems using information presented in scaled bar graphs.”
3.MD.7,8: “Multiply…to find areas of rectangles in the context of solving real world and mathematical problems…Solve real world and mathematical problems involving perimeters of polygons…”
4.OA.3: “Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted…”
4.NF.4: “Solve word problems involving multiplication of a fraction by a whole number…”
4.MD.1: “…Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit…”
4.MD.2: “Use the four operations to solve word problems involving distances…”
4.MD.3: “Apply the area and perimeter formulas for rectangles in real world and mathematical problems.”
5.NBT.6: “Find whole-number quotients of whole numbers with up to 4-digit dividends…”
5.NF.6: “Solve real world problems involving multiplication of fractions and mixed numbers…”
5.MD.5: “Apply the formulas…for rectangular prisms to find volumes of right rectangular prisms…in the context of solving real world and mathematical problems.
Subject: Math, Problem solving, Word problems
Level: Grades 4 – 6
Duration: 3 – 4 days
Type of Resource: Problem solving with word problems
Number of pages: 11 pages, 14 problems, many subproblems
Answer Key: included
A Smart Notebook 10 file is also included.