Chapter 6 Performance Tasks Bergssmath

Chapter 6 Performance Tasks Bergssmath Chapter 6 Performance Tasks Building Mathematical Fluency and Understanding BergssMath This document outlines a series of performance tasks designed to assess student understanding of key concepts presented in Chapter 6 of BergssMath a hypothetical mathematics curriculum These tasks encourage students to apply their knowledge in real world contexts fostering deeper understanding and demonstrating mathematical fluency Target Audience This document is intended for teachers using the BergssMath curriculum in grades insert appropriate grade level who want to incorporate engaging performance based assessments Learning Objectives Upon completion of these performance tasks students will be able to Insert specific learning objectives related to Chapter 6 content Structure of Tasks The performance tasks in this chapter are structured around the following format Task Each task begins with a clear and engaging scenario that presents a realworld problem or challenge Task Directions Specific instructions and guiding questions are provided to help students approach the task systematically Task Materials Students are provided with a list of materials needed to complete the task Rubric A detailed rubric outlines the criteria for successful completion of the task including points for accuracy communication and problemsolving skills Task 1 The School Play Budget Task The school is putting on a play Your class is in charge of managing the budget for costumes props and set design You need to create a plan to ensure that the play stays within budget while meeting all the creative needs of the production Task Directions 1 Research Gather information about the plays requirements including the number of 2 characters types of costumes and desired set elements 2 Cost Analysis Research the costs of materials costumes and rentals needed 3 Budget Planning Create a detailed budget plan that allocates funds to each aspect of the production 4 Justification Write a brief report explaining your budget decisions and justifying your choices Task Materials Play Script Resource Materials eg online costume stores prop retailers local theatre supply stores Budget Template Graphing Paper Rubric Criteria Excellent 4 points Good 3 points Needs Improvement 2 points Poor 1 point Accuracy All calculations are accurate Minor errors in calculations Several errors in calculations Many significant errors Budget Planning Budget is comprehensive and wellorganized Budget is mostly complete Budget is incomplete or disorganized Budget is poorly planned Justification Report clearly justifies all budget decisions Report provides some justification Justification is incomplete or unclear No justification provided Communication Budget plan is clearly presented and easy to understand Budget plan is mostly understandable Budget plan is difficult to understand Budget plan is confusing or incomplete Task 2 The Mystery Measurement Task You have been given a box with an object inside You are not allowed to open the box but you must determine the volume of the object inside using only measurements taken from the outside of the box Task Directions 1 Measure Carefully measure the length width and height of the box 2 Calculate Determine the volume of the box using the formula for a rectangular prism 3 Volume Length x Width x Height 3 Deduction Assuming the object inside takes up the entire volume of the box what is the volume of the object 4 Explain Write a clear explanation of your method and your reasoning for determining the objects volume Task Materials Mystery Box Ruler or Tape Measure Calculator Rubric Criteria Excellent 4 points Good 3 points Needs Improvement 2 points Poor 1 point Accuracy All measurements and calculations are accurate Minor errors in measurements or calculations Several errors in measurements or calculations Many significant errors Deduction Correctly deduces the volume of the object Makes a minor error in deducing the objects volume Makes a significant error in deducing the objects volume Fails to deduce the volume of the object Explanation Clearly and accurately explains the method and reasoning Explanation is mostly clear and accurate Explanation is unclear or inaccurate Explanation is missing or incomplete Task 3 Designing a Playground Task Your class is designing a playground for a local elementary school You need to plan the layout of the playground including the placement of equipment walkways and safety features Task Directions 1 Research Gather information about different playground equipment and safety regulations 2 Design Create a scale drawing of your playground design including the placement of swings slides climbing structures benches and walkways 3 Safety Plan Develop a safety plan that addresses potential hazards and includes 4 appropriate safety features eg soft surfaces barriers 4 Presentation Present your design and safety plan to the class explaining your choices and the reasoning behind them Task Materials Graph Paper Colored Pencils or Markers Resources on playground equipment and safety regulations Rubric Criteria Excellent 4 points Good 3 points Needs Improvement 2 points Poor 1 point Design Playground design is wellorganized efficient and meets safety standards Design is mostly wellorganized and efficient Design is somewhat disorganized or does not meet safety standards Design is poorly planned or unsafe Safety Plan Safety plan is comprehensive and addresses potential hazards Safety plan is mostly comprehensive Safety plan is incomplete or does not address all hazards Safety plan is inadequate or nonexistent Communication Presentation clearly explains design choices and reasoning Presentation mostly explains design choices Presentation is difficult to understand or incomplete Presentation is confusing or unclear Task 4 Building a Birdhouse Task You are building a birdhouse for your backyard You need to design and construct a birdhouse that is both functional and aesthetically pleasing Task Directions 1 Design Sketch out a design for your birdhouse including dimensions materials and details 2 Materials Gather the necessary materials for construction such as wood nails paint and tools 3 Construction Carefully build your birdhouse following your design plan 4 Presentation Present your completed birdhouse to the class explaining your design choices and the construction process 5 Task Materials Construction Materials wood nails paint etc Tools hammer saw screwdriver etc Design Sketchbook Rubric Criteria Excellent 4 points Good 3 points Needs Improvement 2 points Poor 1 point Design Birdhouse design is wellplanned functional and visually appealing Design is mostly wellplanned and functional Design is somewhat functional but not visually appealing Design is impractical or poorly executed Construction Birdhouse is constructed carefully accurately and according to design Birdhouse is mostly wellconstructed Birdhouse has some minor construction errors Birdhouse is poorly constructed or incomplete Presentation Presentation clearly explains design choices and construction process Presentation mostly explains design choices Presentation is difficult to understand or incomplete Presentation is confusing or unclear Conclusion These performance tasks provide students with opportunities to apply their mathematical knowledge in meaningful and engaging ways They encourage higherorder thinking skills promote creativity and build confidence in students mathematical abilities By providing students with the opportunity to showcase their understanding through handson projects these tasks foster a deeper appreciation for the practical relevance of mathematics in everyday life