# ALEX Lesson Plan

## Nets:  Message in a Box

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This lesson provided by:
 Author: Lynda Wilder System: Blount County School: Hayden Middle School
General Lesson Information
 Lesson Plan ID: 29778 Title: Nets:  Message in a Box Overview/Annotation: In cooperative/collaborative groups, students will compare and contrast a two-dimensional pattern and a three-dimensional shape. Students will use a net to label and then construct a rectangular prism. Students will find the surface area of a rectangular prism. As a final performance task, students will create a message box.
Associated Standards and Objectives
Content Standard(s):
 Mathematics MA2015 (2016) Grade: 6 24 ) Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. [6-G4] NAEP Framework NAEP Statement:: 8A4c: Analyze situations or solve problems using linear equations and inequalities with rational coefficients symbolically or graphically (e.g., ax + b = c or ax + b = cx + d). NAEP Statement:: 8G1c: Identify, define, or describe geometric shapes in the plane and in three-dimensional space given a visual representation. NAEP Statement:: 8G3b: Apply geometric properties and relationships in solving simple problems in two and three dimensions. NAEP Statement:: 8G3c: Represent problem situations with simple geometric models to solve mathematical or real-world problems. NAEP Statement:: 8G3f: Describe or analyze simple properties of, or relationships between, triangles, quadrilaterals, and other polygonal plane figures. Alabama Alternate Achievement Standards AAS Standard: M.AAS.6.24- Identify a three-dimensional shape (cube, cone, cylinder) and match it to its nets.

Local/National Standards:

Standards for Mathematical Practice:
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
7. Look for make use of structure

National Council of Teachers of Mathematics Standards for Grades 6-8:

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships of similar objects; create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship; precisely describe, classify, and understand relationships among types of two-and three-dimensional objects using their defining properties; understand relationships among the angles, side lengths, perimeters, area, and volumes.

Primary Learning Objective(s):

Key Concept:  Two-dimensional shapes can be assembled to form three-dimensional figures.

Key Math Vocabulary:
• Rectangle – A parallelogram with four right angles.
• Rectangular Prism – A polyhedron whose bases are rectangles and whose other faces are rectangles.
• Net – An arrangement of two-dimensional figures that can be folded to form a polyhedron.
• Polyhedron – A three-dimensional figure in which all the surfaces or faces are polygons.
• Polygon – A closed plan figure formed by three or more line segments that intersect only at their endpoints.
• Surface Area – The sum of the areas of the faces, or surfaces, of a three – dimensional figure.

Message Box: Nets
Student Outcome: Students will create nets for a rectangular prism. Students will find the volume and the surface area of the rectangular prism.

Preparation Information
 Total Duration: 61 to 90 Minutes Materials and Resources: Materials• Rectangular prism net• Glue or tape• Scissors• Grid paper – centimeter squares• Straight edge• Large grid paper – one inch squares• Scrapbook paper = 12in X 12in sheets or heavy paper Technology Resources Needed: ComputerProjector Background/Preparation: Prior knowledge formula:  Area = Length times WidthStudents should discover the following formula for finding the surface area of a rectangular prism:  Math formula for the surface area of a rectangular prism:  2lh + 2lw + 2wh, or 2(lh + lw = wh)   l = length; h = height; w = width
Procedures/Activities:
 As students enter the classroom, the teacher will hand each student a colored card.  Students will be assigned to groups according to the color of the card.  Students should be in groups of four. Before:  (Activate prior knowledge) 3 to 5 minutes Handout a t-chart for students to list and sort two-dimensional and three-dimensional examples. Show video on two-dimensional and three-dimensional examples. ( examples of 24 nets) During:  (Actively engage students)  The teacher give the students the two performance tasks:   Follow the steps to complete the performance task. Rectangular Prism: Centimeter Grid PaperPerformance Task I: (5cm X 6cm X 4cm)1. Label the dimensions (on the inside). 2. Cut out the provided rectangular prism net. 3. ( length = 5cm, width = 6cm, height = 4cm) = 5cm X 6cm X 4cm 4. The formula to find the volume of a rectangular prism is: V=lwh5. The volume of this rectangular prism is __6. The formula to find the surface area of a rectangular prism is: SA = 2lw + 2wh + 2lh7. Find the surface area of this rectangular prism.8. Show your work. Performance Task II:1. Draw a net for a rectangular prism. 2. Use the following dimensions: 6cm X 4cm X 2cm. 3. Label the three dimensions.4. What is the formula to find the volume of a rectangular prism? 5. Find the volume of the rectangular prism. 6. What is the formula to find the surface area of the rectangular prism? 7. Find the surface area of the rectangular prism.