Primary Type: Lesson Plan
Status: Published
This is a resource from CPALMS (www.cpalms.org) where all educators go for bright ideas!
Resource ID#: 48827
Box It Up, Wrap It Up (Surface Area of Rectangular
Prisms)
In this introductory lesson to surface area, students will make connections between area of two dimensional figures and calculating the surface area
of rectangular prisms using nets, within the context of wrapping birthday presents! Math is Fun :)
Subject(s): Mathematics
Grade Level(s): 6
Intended Audience: Educators
Instructional Time: 50 Minute(s)
Freely Available: Yes
Keywords: Surface Area, Rectangular prism, Three-Dimensional, 3D, Nets, wrap, gift,
Instructional Design Framework(s): Direct Instruction, Confirmation Inquiry (Level 1), Cooperative Learning
Resource Collection: CPALMS Lesson Plan Development Initiative
ATTACHMENTS
Box it up Wrap it up Teaching Phase.docx
Box It Up Wrap It Up Guided and Independent Practice.docx
Rectangular prism net colored.docx
Retangular prism net not colored.docx
LESSON CONTENT
Lesson Plan Template: General Lesson Plan
Learning Objectives: What should students know and be able to do as a result of this lesson?
Students will know how to identify the three pairs of congruent faces to determine each side's measurements more easily.
Student will know the opposite faces of the prism are congruent rectangles which reflects the formula SA=2bh + 2bw + 2hw
Students will identify the differences between the area of Base "B" for three dimensional objects and area of the Base "b" for two dimensional objects.
Students will describe the SA of a CUBE as
, where "s" is the length of the side. Represent three-dimensional
Students will be able to use nets made up of rectangles to find the SA of objects than can use this technique in context.
Prior Knowledge: What prior knowledge should students have for this lesson?
Understanding and prior knowledge of area of rectangle will be checked during the introductory activity.
MA.5.G3.1: Analyze and compare the properties of two-dimensional figures and three-dimensional solids (polyhedral) including the number of edges, faces,
vertices, and types of faces.
page 1 of 4 During the lesson, once students reviews the area of rectangles, then they will justify and apply the formulas to develop the surface area of rectangular prisms
using nets.
Guiding Questions: What are the guiding questions for this lesson?
How many faces, sides or rectangles do you see?
How many rectangular faces are the same/equal?
How many rectangular faces are different?
Can you find the are of each face?
Can you develop a simplified formula for finding the surface area of rectangular prisms?
Teaching Phase: How will the teacher present the concept or skill to students?
Present the problem: Happy Day! Today is a Mathematician's Birthday. We need to go to the store to buy wrapping paper to wrap all our boxes. Our dilemma is knowing
how many square inches of wrapping paper do we need to buy to wrap all of the presents? Before we leave, we need to determine what we need to buy.
SMALL GROUPS OF 3-4 STUDENTS :
Part 1: Pass out graphing paper
Ask the students to draw a rectangle and measure its base and its height
Labeling base "b" and height "h"
How would you calculate the area of the rectangle?
Always write the formula before calculating!! A=bh
Underneath the variables, use substitution of the number of units.
When two variables are together, what operation do we use? Multiply
Our solution is measured in what type of units? Square Units.
Ask Students to draw a 3 by 4 rectangle.
Label base with a "b"; Label height with a "h"
Calculate the rectangle's area= 12 units squared
Have students draw a 2nd rectangle of the same size and shape.
Ask Students to draw a 5 by 2 rectangle.
Calculate the rectangle's area. 10 units squared
Ask Students to calculate the total square units for the last three rectangles.
What operations did you use mentally to find the total?
Some students may say I added them all together 12+12+10=34
Some may say 12 x 2 + 10=34
When an object is the same size and same shape such as our 3 x 4 rectangle, what vocabulary word would describe the two shapes? congruent!!
If I say run your hand over the SURFACE of your desk- What do I mean?
Smile and Touch the surface of your complete text book... okay... Where did you touch... the entire outside of the book?
Part II: 10 Centimeter Cubes and the Rectangular Prism Chart
Pass out the Box it up, Wrap it up - Teaching Phase.docx
Use the cubes to build 3 different rectangular prisms
On the outside of each prism, count the number of squares. (fill in the chart)
Remember,
Volume V=bwh. Solution is measured in Cubic Units= cm X cm X cm =
Area A=bh. Solution is measured in Squared Units = cm X cm =
Part III: Pass out the rectangular prism nets, color pencils, scissors and tape
Before constructing the rectangular prism,
Find the AREA of each rectangle
On each face, write in black marker A=bh then
Substitute the variable for the number and find the solution
The congruent faces should be the same color.
What do you notice? How many rectangular faces are the same?
Find the Surface Area of a Rectangular Prism
The Surface Area of a prism is the SUM of the areas of its faces.
Top and Bottom = bw + bw = 2bw
Front and Back = bh + bh = 2bh
Side and Side = hw + hw = 2hw
Surface Area = Total = SA
Surface Area = 2bh + 2bw + 2hw
Guided Practice: What activities or exercises will the students complete with teacher guidance?
Now we have to wrap it up... We have wrapping paper to buy BUT how many square inches do I need to wrap all of the presents on the worksheet?
Lets measure the surface area of our objects :
see Box it up, Wrap it Up - Guided and Independent Practice worksheet
Independent Practice: What activities or exercises will students complete to reinforce the concepts and skills developed in the
lesson?
page 2 of 4 Construct your own rectangular prism NET using graph paper.
Before constructing the rectangular prism,
Find the AREA of each rectangle face
On each face, write in black marker A=bh then
Substitute the variable for the number and find the solution.
Shade in the congruent faces with the SAME light color.
The congruent faces should be the same color.
Find the Surface Area of a Rectangular Prism
The Surface Area of a prism is the SUM of the areas of its faces.
Top and Bottom = bw + bw = 2bw
Front and Back = bh + bh = 2bh
Side and Side = hw + hw = 2hw
Surface Area Total = SA
Surface Area = 2bh + 2bw + 2hw
Closure: How will the teacher assist students in organizing the knowledge gained in the lesson?
Ticket out the door (the teacher can project this question on the screen, write in on the board or print student copies. An option can be to give several different
measurements for the students):
If you have a rectangular prism cube (all sides are congruent) sides (s)=3cm
Calculate the surface area.
Could the surface area of a cube be described as
, where s is the length of the side? Yes or No and WHY?
Summative Assessment
Surface Area of Rectangular Prism will be assessed by having students create their own rectangular prism net using graph paper; showing the formula; substituting
the number of units for variables; deriving a SA solution.
The facilitator will measure the impact of the lesson with probing questions that developed the SA formula.
How many faces, sides or rectangles do you see?
How many rectangular faces are the same/equal?
How many rectangular faces are different?
Can you apply the area of a rectangle formula to SA?
Formative Assessment
Understanding and prior knowledge of area of rectangle will be checked during the introductory activity described in the teaching phase of the lesson.
During the lesson, once the students have reviewed the area of rectangles, then they will justify and apply the formula to develop the surface area of rectangular
prisms using nets.
Feedback to Students
After the students have an opportunity to analyze the nets within their group, the instructor will circulate to every group and check each groups understanding and
the development of SA(surface area) of rectangular prism formula.
ACCOMMODATIONS & RECOMMENDATIONS
Accommodations:
Have a Constructed Model of a Net that is Colored and Labeled as the instructions are for the students.
Encourage students to first
list the base, width and height of the prism
Write the SA formula
Substitute the information into formula
Find Solution
This will help students make sure they use the correct values.
Extended Time
Peer Tutor for other students who may need assistance. Proficient students who have to explain new concepts helps students to store information in long-term
memory.
Extensions: Create more nets with the above instruction for future examples.
Have students apply their knowledge of area of triangles to find the surface area of triangular prisms, square pyramids, rectangular pyramids, and triangular pyramids
Special Materials Needed:
Centimeter Cubes
Rectangular Prism Net
Scissors
Tape
Graphing Paper
page 3 of 4 Colored Pencils
Black fine marker
Additional Information/Instructions
By Author/Submitter
Mathematical Practice Standard: MAFS.K12.MP.1.4 Model with Mathematics
Students represent three dimensional figures with nets, and transform measurements into mathematical expressions.
SOURCE AND ACCESS INFORMATION
Contributed by: Miriam Beasley
Name of Author/Source: Miriam Beasley
District/Organization of Contributor(s): Holmes
Is this Resource freely Available? Yes
Access Privileges: Public
License: CPALMS License - no distribution - non commercial
Related Standards
Name
MAFS.6.G.1.4:
Description
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.
page 4 of 4