Learning Activity – Mathematics Cycle 2 I Equip My Team Guide Background Information Title I Equip My Team Guiding Question How am I going to stay within my budget? Cycle Elementary Cycle 2 Suggested Duration Two hours Pedagogical Intention To help students explore the concept of financial literacy Competencies Mathematics C1 – To solve a situational problem related to mathematics. C2 – To reason using mathematical concepts and processes. Essential Knowledge Understanding and Writing Numbers Natural numbers less than 100,000 Represent a situation using concrete objects, diagrams or equations or vice versa (use of different meanings of addition and subtraction) Operations Involving Numbers Natural Numbers To develop written calculation processes (addition and subtraction). Using conventional processes, determine the operations on the sum of two natural numbers having more than 4 digits. Use the and functions on a calculator. Evaluation Evaluation Rubrics (appendix B) Required Materials Student Booklet Teacher’s Guide Illustrations Ekomini Page 1 Summary Chart The following chart represents four learning activities for Cycle 2. The learning activities are not in sequential order. Title, Description and Concept Developed The Piggy Bank Using recycled materials, students continue to explore the concept of saving while making a functional 3D piggy bank. Discipline and Competency Targeted Progression of Learning Visual Arts Applications of Knowledge C1: To Produce individual works in the visual arts. • To use personal ideas inspired by the stimulus for creation. • To use transforming gestures and elements of visual arts language. • To share his/her creative experience. Concept developed: Saving Knowledge • Visual Arts The Negotiator Students explore the concept of barter Concept developed: Exchange I Equip My Team Students explore more deeply the concept of budgeting as they plan the purchase of sports equipment for a hockey team while respecting budgetary constraints. English Language Arts To read and listen to literary, popular and informationbased texts • Uses a variety of reading strategies to make meaning of different text types. • Uses details and evidence in the text to infer meaning(s) • Constructs a personal response to the text. Mathematics Concepts and Processes C1: To solve a situational problem related to mathematics. • To translate a situation using a series of operations in accordance with the order of operations: addition. • To develop processes for written computation (addition and subtraction). • To use his/her own processes as well as objects and drawings to determine the sum or difference of two natural numbers less than 1000. • To determine the operation(s) to perform in a given situation. C2: To reason using mathematical concepts and processes. • To develop processes for written computation (addition and subtraction). • To use his/her own processes as well as objects and drawings to determine the sum or difference of two natural numbers less than 1000. • To compare natural numbers. • Vocabulary: is equal to, is greater than, is less than… Mathematics Concepts and Processus C2: To reason using mathematical concepts and processes. • To approximate the result • To develop processes for written computation (addition and subtraction) • To develop processes for written computation (multiplication and division) Concept developed: Expenses Koni Spends Too Much Students are invited to create a repayment plan. Concept developed: Expenses Response Process Source: Québec, ministère de l’Éducation, du Loisir et du Sport Page 2 Overview of the Task In this learning activity, the students have to plan the purchase of sport equipment for a hockey team while respecting budgetary constraints. They have to purchase the equipment at three different places: a specialized sports store, a used equipment (second hand) store and at “Trade N Play,” a sports equipment exchange event. Guiding Question How am I going to stay within my budget? Preparation Phase 40 minutes Present the auction game. Lead a discussion on the popularity of some items and the reasons why they are so popular. Present the task they will carry out. Materials Needed Ask students to bring to school an item that they own, that is in good condition, but that they do not use any more. (Each student should bring in one item. Parent approval is required.) They will be offering these items for sale at a class auction. OR Have a “pretend” auction – assign students items such as the ones found in Appendix A. Procedure Here’s how the auction game can be played: Group students in teams of four. Show them an item up for auction. The members of each team discuss among themselves how much they are collectively willing to pay for this item, and agree on their top bid. As “auctioneer” you (the teacher) should try to increase the amount the students are willing to pay from the start bid price to the highest bid possible. The team with the highest bid price buys the object. Each team starts off with $200 of play money to spend. After the “auction” is over, ask the class these questions: What are your impressions about the auction process? Did you notice any problems that your team or other teams encountered? What strategy did your team use? Was it difficult for your team to stay within your budget and still make the bids that you wanted to? Was it difficult as a team to agree on the price (value) of an item? Have you ever bought used articles? Why are certain items more expensive than others? Page 3 Implementation Phase 90 minutes Procedure Distribute the Student Booklet. Make students aware of the task by having them read Part 1 – Buying Equipment! Have students read the instructions and acquaint themselves with the challenge they have to deal with. They should become familiar with the contents of the three posters in the Appendix to the Student Booklet. Explain to the students that they have to buy all the equipment required by a hockey team, while at the same time staying within the spending limits imposed by their budget. They can accomplish this by taking advantage of three purchasing opportunities (the two stores and the Trade N Play equipment exchange). With respect to question 2 in the Student Booklet, they have to figure out if they will have sufficient money left after they have bought their equipment to go see the Ekominiville professional hockey team play. Ask students to work through their problem situation by justifying the choices they have to make and by keeping track of the steps they take in the decision-making process. Integration Phase 20 minutes Return to the guiding question: How am I going to stay within my budget? Is it easy or difficult to stay within a budget? Why? Page 4 Appendix A Items that can be put up for sale at a “pretend auction” An MP3 player A Monopoly game Tickets to see a popular band A box of colored crayons A poetry book Two tickets to see a movie A day pass at an amusement park A tomato plant Page 5 Appendix B Evaluation Rubrics Competency 1: To solve a situational problem in mathematics. Observable Behaviors Level A Evaluation Criteria To solve a situational problem the student… takes into account all constraints that have to be respected. Demonstrates, orally or in writing, identifies the relevant understanding of the data and determines situational problem. how to carry out all the steps. needs only minor interventions to clarify certain aspects of the situational problem. uses the required mathematical concepts and processes. Mobilizes the correct concepts and produces an exact processes required solution or one with to produce an minor errors (calculation appropriate solution errors, inaccuracies, omissions, etc..). Explanation (oral or written) of the main aspects of the solution Appropriate explanation (oral or written) of how the solution was validated* presents a solution consisting of clear, complete and structured work. Level B Level C Level D To solve a situational problem the student… takes into account most constraints that have to be respected. To solve a situational problem the student… takes into account some constraints that have to be respected. To solve a situational problem the student… takes into account few constraints that have to be respected. identifies most of the relevant data and determines how to carry out the main steps. needs intervention to clarify certain aspects of the situational problem. identifies the obvious data and determines how to carry out some steps. needs intervention to clarify several aspects of the situational problem.. identifies some relevant data, but is unable to reinvest this information. needs intervention to clarify most aspects of the situational problem. Level E To solve a situational problem the student… takes into account few constraints that have to be respected, or none at all. identifies some data, but is unable to distinguish what is relevant and what is not. needs intervention to clarify all aspects of the situational problem.. uses the main required uses some of the uses few of the required mathematical concepts required mathematical mathematical concepts and processes. concepts and processes. and processes required. produces a solution with produces a solution produces a partial few errors regarding containing errors solution incorporating concepts and processes. regarding concepts and only simple steps and processes. containing errors regarding concepts and processes.. uses inappropriate mathematical concepts and processes. does not produce a solution or produces a partial solution with major errors regarding concepts and processes. presents a solution consisting of clear and organized work, even though some steps are implicit. validates the main steps in validates some of the his/her solution and steps in his/her solution rectifies it, if necessary. and rectifies it, if necessary. presents a solution consisting of incomplete or disorganized work. shows work consisting of confusing and isolated elements. shows little work. makes sure he/she has completed the main steps in the situational problem and validates certain operations. makes very little effort to review his/her work. makes no effort to review his/her work. Page 6 Competency 2 – To reason using mathematical concepts and processes. Observable Behaviors Level A Identifies the elements and actions that allow him/her to meet the requirements of the situation. Evaluation Criteria Level D Level E Identifies the elements and actions that allow him/her to meet the main requirements of the situation. Identifies elements and actions that allow him/her to partially meet some of the requirements of the situation. Identifies elements and actions that have little or no connection to the requirements of the situation. Chooses the mathematical concepts and processes that allow him/her to appropriately meet the requirements of the situation. Chooses the mathematical concepts and processes that allow him/her to meet the main requirements of the situation. Chooses the mathematical concepts and processes that allow him/her to partially meet the requirements of the situation. Chooses the mathematical concepts and processes that have little or no connection to the requirements of the situation. Applies the required concepts and processes appropriately in order to meet the requirements of the task and makes no mistakes in doing so. Applies the required concepts and processes appropriately in order to meet the requirements of the task, but makes a few minor mistakes (e.g. miscalculations, inaccuracies, omissions). Applies some of the Applies some of the Applies concepts and required concepts and required concepts and processes and makes processes and makes one processes and makes one major conceptual or conceptual or procedural major conceptual or procedural errors or apply error considered minor in procedural error regarding inappropriate concepts the context of the task or a key concept associated and processes. makes several minor with the task or does not mistakes. apply one of the key concepts. Presents a clear and complete line of reasoning. Presents a clear line of reasoning even though some of its elements are implicit. Presents a line of reasoning consisting of some unclear elements. Uses rigorous mathematical arguments when required to support his/her actions, conclusions or results. Uses appropriate mathematical arguments when required to support his/her actions, conclusions or results. Uses insufficiently detailed Uses largely inappropriate mathematical arguments mathematical arguments when required to support when required to support his/her actions, his/her actions, conclusions or results. conclusions or results. and processes that allow him/her to efficiently meet the requirements of the situation. Correct justification of actions or statements by referring to mathematical concepts and processes Level C Identifies most of the elements and actions that allow him/her to meet the requirements of the situation. Appropriate analysis of a situation Chooses the involving mathematical concepts applications Appropriate application of the required processes Level B Presents a line of reasoning consisting of isolated and confusing elements. Presents a line of reasoning that has little or no connection to the situation or does not show any work. Uses mathematical arguments that are erroneous or unrelated to the situation when required to support his/her actions, conclusions or results. Page 7
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