Using Resources Effectively
ACP Lesson Plan
Title: Using Resources Effectively  Author: Nathan Falk 
Subject(s): Math  
Grade Level(s): 6  Total Time: 12 class periods 
Overview / Description:
In this math lesson, students will be using math skills to determine the best layout of industrial parts to be cut from a sheet of metal. Students will then calculate both the cost of the materials used and the percentage and cost of waste remaining after cutting out the industrial parts.
Learning goals/objectives:
After completing this activity, students should be able to . . .
 create a layout of industrial parts which makes the best use of resources
 calculate the cost of materials used
 calculate the cost and percentage of waste remaining after cutting out industrial parts
Workplace Readiness Skill:
Social Skills  X  Communication 

X  Teamwork  X  Critical Thinking 
Attitude and Initiative  X  Planning and Organization  
Professionalism  Media Etiquette 
Content Standards:
Common Core Standards for Math
CCSS.MATH.CONTENT.6.G.A.1
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving realworld and mathematical problems.
Wisconsin Comprehensive School Counseling Model
Personal/Social Domain
Standard E: Students will demonstrate effective decisionmaking, problemsolving, and goalsetting skills.
Materials:
 Calculating the Area of Planar Objects
 Postit shapes:
 20 x 24 Graph Paper
 Scissors
Learning Activities:
WHO (T=Teacher Focus Lesson; WG=Whole Group; SM=Small Group; I=Independent)
Learning Activity Task  WHO is responsible for this step?  Approximate time for task 
Step 1: Teacher will lead students through a lesson on calculating the area of an object. There are no particular materials necessary for this lesson, although if this lesson is not already contained in the student textbook, the teacher may refer to the linked resource at https://www.wikihow.com/CalculateAreaofanObject.  Teacher  20 minutes 
Step 2: Once students are comfortable calculating the area of a number of different objects, explain that they will be working on a realworld problem: "In manufacturing, it's common for each piece which is put together to make an object to be cut from sheets of metal or wood. It is the job of the CNC programmer to fit the most shapes onto each sheet of metal to reduce waste. Today, you will become CNC programmers. In pairs or groups, you will be using the shapes included on the linked worksheet and the 20 x 24 square "sheets" to determine the best layout for cutting the shapes. You will then calculate the cost of the materials you used, along with calculating the percentage and cost of the waste materials left." Explain that limiting the number of cuts necessary is also important, so shapes may definitely butt up against each other but not overlap. Teacher will then pass out postit shapes and 2 sheets of graph paper to student pairs. Actual Postits may be used rather than the Postits Sheet.  T  5 min. 
Step 3: Students will work together to determine the best placement of their Postits to reduce waste. Once Postits are placed, students should cut out the shapes, keeping all of their waste pieces together.  SM  1520 minutes 
Step 4: Teacher will then explain the process for determining waste: "Any leftover piece in the shape of a square or rectangle that is at least 12 x 12 can be used for cutting new shapes, so those are not considered waste. Sort through your pile and see if you have any parallelograms which are at least 12 x 12." Give student groups time to follow the directions.  TSM  10 minutes 
Step 5: Once student pairs have sorted out their useable material, have them collect the rest of the waste material. Using the second sheet of graph paper, students should fill the area with waste pieces in the same manner as they did the Postits, butting pieces against each other without overlapping to create the smallest area possible. Students should then determine the area taken up by the waste materials.  SM  10 minutes 
Assessment:
Teacher will circulate during work periods to observe progress.
Student groups will complete Exit ticket at the end of the period as a formative assessment.
WrapUp:
Have students complete the exit ticket. Do a whiparound of groups to see who had the smallest area of waste.
Extension Activity (for intervention or enrichment):
 Struggling students could work in a small group rather than in pairs.
 Thinkpairshare: Student pairs could find another pair and collaborate before cutting takes place in Step 3.
 Student groups could take a picture of their graph paper before cutting out their shapes to share on Day 2 in a discussion of how each group determined how to place their shapes and reduce waste.
 Teacher could invite a CNC programmer in to discuss the importance of reducing waste and using resources effectively.
 Summative assessment could include students completing a similar activity individually after feedback from exit tickets.