Perimeter, Area and Volume

Benchmark Unit Plan:

Perimeter, Area, and Volume Unit Plan based on WAB BM at a Glance 10 lessons in Total 2 weeks

• pre/post.assessment.perimeter,area,volume.bm.based.v2(1 lesson)*updated12/5/12
• post.assessment.KEY.perimeter.area.volume.bm.based.v2 *updated 12/9/12

Perimeter (2 lessons)

• Perimeter Lesson 1 Exploration, Exposure, Practice
• Perimeter Practice Activity (Need decks of cards, Model the activity for 5 minutes, Play for 10 minutes)
• Perimeter Exit Slip

Area (2 lessons)

• Area Lesson 1 Exploration, Exposure, Practice
• Area practice (also includes perimeter)

Volume (2 lessons)

Problem Solving, application, connection to metrics section (2 lessons)

• Applying Area and Perimeter to Real Life

pre/post.assessment.perimeter,area,volume.bm.based.v2 (1 lesson)*updated12/5/12

HOME LEARNING:

Daily Differentiated Home Learning Practice based on Pre-assessment

Mathletics- Length, Perimeter and Area

Walk	Jog	Run
Book E	Book F	Book G

 

IXL Geometry

Walk	Jog	Run
Grade 3 R.7 Perimeter R.8 Perimeter: find the missing side length R.9 Area of figures made of unit squares R.10 Area of rectangles R.11 Area of squares and rectangles: word problems R.12 Area of complex figures (with all right angles) R.13 Compare area and perimeter of two figures R.14 Use area and perimeter to determine cost R.15 Relationship between area and perimeter R.16 Volume Grade 4 P.17 Perimeter P.18 Area of squares and rectangles P.19 Area of complex figures (with all right angles) P.20 Compare area and perimeter of two figures P.21 Relationship between area and perimeter P.22 Volume P.23 Use area and perimeter to determine cost	Grade 5 B.15 Perimeter B.16 Area of squares and rectangles B.17 Area of triangles B.18 Area of parallelograms and trapezoids B.19 Area of compound figures B.20 Area and perimeter of irregular figures B.21 Area and perimeter: word problems B.22 Volume of rectangular prisms made of unit cubes B.23 Volume of irregular figures made of unit cubes B.24 Volume of cubes and rectangular prisms	Grade 6 Z.22 Perimeter Z.23 Area Z.24 Area of compound figures Z.25 Rectangles: relationship between perimeter and area Z.26 Compare area and perimeter of two figures Grade 7 P.17 Perimeter P.18 Area of rectangles and parallelograms P.19 Area of triangles and trapezoids P.20 Area and perimeter: word problems

 

LEARNING EXPERIENCES: (The (S) lessons are part of a set sequence)

• (S1) Area-In this lesson the students construct a square meter and fill it with different information pertaining to a sqm. (2-3 periods. Needs blank A3 paper, double sided tape, meter rulers)
  
  • MAT.MS.5.8: 8.  find the area, perimeter and volume of regular quadrilaterals.
• (S2) Finding the area of an irregular shape with 90 degree angles (1 period, print first)**
  
  • No BM on irregular shapes.
  • Teach students to break irregular shapes into smaller pieces to measure area and add them to find total area.
  • MAT.MS.5.8: 8.  find the area, perimeter and volume of regular quadrilaterals.
• (S3) Area of a Triangle-Investigation 1 (1 period) Requires printing and scissors
  
  • MAT.MS.5.9: 9.  find the area and perimeter of triangles.
• (S4) Area of a Triangle-Investigation 2 (1period)
  
  • MAT.MS.5.9: 9.  find the area and perimeter of triangles.
• (S5) Area of a Triangle Practice (1 period)
  
  • MAT.MS.5.9: 9.  find the area and perimeter of triangles.
• (S6) Polygons, Triangles and Rectangles.  Investigating the link between polygons, triangles and rectangles. Includes follow up practice where students find land area of the Pentagon. (1-2 periods/check comments on post)
  
  • No BM on irregular shapes but an inquiry based connection activity.
• (S8)Bringing it all back together-(3-4 periods, includes follow up)-needs construction paper, glue, scissors, double sided tape, rulers, blue text book
  
  • MAT.MS.5.8: 8.  find the area, perimeter and volume of regular quadrilaterals.
• (S Extension) Find and use formulas for a variety of 3D shapes. (check comment)
  
  • MAT.MS.5.7: 7.  explain the relationships between area and perimeter, between area and volume and between volume and capacity of regular quadrilaterals.
• How big is a decimeter – Home learning task to follow up/revisit volume
• Perimeter-students use Google Earth (Confirm that it is working before you begin this lesson) and trundle wheels to investigate WAB’s perimeter. (2-3 periods) There is also a follow up activity where the students need to figure out how to measure a curved shape.
  • No BM on irregular shapes but an inquiry based and authentic activity.
• Google Earth Area-Use Google Earth to find the area of these famous places.
• Farmers Field (area and dimensions).pdf-Problem Solving. Grade 5/6 2011/12 Week 2 Answers here
• Don’t Fence Me In.pdf (Area) Problem Solving Grade 5/6-2011/12 Week 6 Answers here
• Paint problem.pdf – (Area) Problem solving task using knowledge of area of triangles and regular polygons.
• A Lengthy Problem – Adaptable for either perimeter or area. Open ended problem solving with lots of possible answers. (1 period or Home learning task)

**Not in Benchmarks

ASSESSMENTS:

• Area – A visual explanation – Good formative assessment task to conduct before moving on to area of irregular shapes.
• Area-perimeter-volume-assessment with Score – Final written assessment requiring students to use all their knowledge acquired throughout the unit. For question 9 on volume, use 12 unifix cubes in this configuration. 

RESOURCES:

• Area and perimeter – Great interactive flash site with explanations and practice for regular and irregular shapes
• Area-Summary of how we find area includes link to Google Earth example

REFLECTIONS: