Math-in-CTE Lesson Plan Template
Lesson Title: Knife Cuts – 3D models
Author(s):
Arica Mathers
Phone Number(s):
503-709-6025
Lesson #
E-mail Address(es):
aricamathers@gmail.com; mathersa@hsd.k12.or.us
Occupational Area: Culinary Arts & Hospitality
CTE Concept(s): Knife Cuts
Math Concepts: nets (two-dimensional figures that can be made into a geometric solid); dimension; geometric figures
Lesson Objective:
Students will be able to make geometric solids to represent basic knife cuts to use as models.
Supplies Needed:
¼ inch graph paper, pencil, ruler, tape, Nets worksheet, general geometry nets visual,
knives, cutting boards, potatoes, sauté pans, oil, seasonings
THE "7 ELEMENTS"
1. Introduce the CTE lesson.
Today we are going to make 3-D models of a few of the basic knife
cuts so that you have accurately sized models to compare your knife
cuts to ensuring the proper size. These 3-D models will be made out
of something called nets.
We will be using graph paper to make our models and then using
those models as a reference for practicing the knife cuts on potatoes.
After you are finished practicing your knife cuts, you may make hash
browns out of your potatoes.
TEACHER NOTES
(and answer key)
2. Assess students’ math awareness as it relates to the CTE
lesson.
What geometric shape is the dice cut?
Use “Classic Knife Cuts Visual Model Set” (or something
similar) to hold up the knife cuts for students to see as you
are questioning them.
What geometric shape is the batonnet cut?
Dice cut = cube
Batonnet cut = rectangular prism
A net of a geometric solid is a two-dimensional (planar)
Does anyone know what it is called when you have a two-dimensional
figure that can be folded into a geometric solid.
figure that you can fold to make a geometric solid or a 3-dimensional
form?
3. Work through the math example embedded in the CTE lesson.
If we arrange six squares into a figure that can be folded into a cube, See NETS worksheet. Students will use this as a guided
we have a net for a cube.
example and process.
See examples of those that can be folded into a cube and
those that cannot.
To create a net using graph paper, you must first know the size of the
grid.
Grid size:
To determine how many units are in each section of the net, divide
the dimension you want by the grid size:
Ex. 1 inch / ½ inch = 2 units on the graph paper
4. Work through related, contextual math-in-CTE examples.
Students will create nets for these knife cuts: large dice, medium We are using ¼ inch graph paper.
dice, small dice and batonnet.
Large dice: ¾ inch divided by ¼ inch = 3 units
Medium dice: ½ inch divided by ¼ inch = 2 units
For the cube net, students will choose one of the nets from the
Small dice: ¼ inch divided by ¼ inch = 1 unit
worksheet and draw their own net on the graph paper using a ruler
and the appropriate units for each section of the net. Then they will Batonnet: 2 inches divided by ¼ inch = 8 units
cut out the net, fold on the dotted lines and secure with tape. They
¼ inch divided by ¼ inch = 1 unit
should end up with 3 cube nets to represent their knife cuts: one for
large dice, one for medium dice and one for small dice.
For the rectangular prism net, students will use the net on the
worksheet as an example to draw their own net using the appropriate
units for each section on the graph paper. Then they will cut out the
net, fold on the dotted lines and secure with tpae. They should end
up with 1 rectangular prism net to represent the batonnet knife cut.
5. Work through traditional math examples.
General geometry nets visual
Show these general geometry nets on the projector screen
and have students guess what they look like in 3dimensional format.
Answers:
Shape 1:
Shape 2:
Shape 3:
Shape 4:
Cylinder
Triangular Pyramid
Triangular Prism
5 sided pyramid (pentagonal pyramid)
6. Students demonstrate their understanding.
After the students have successfully made their four nets, they will
use those as models of proper size to measure their own knife cuts
by.
Lab experience: Students will cut practice cutting potatoes into large
dice, medium dice, small dice and batonnet using their 3-dimensional
models as a tool to measure by. The potatoes should be the same
size as the models.
After the teacher has checked their knife cuts, the students may use
their potatoes to make hashbrowns and eat them.
7. Formal assessment.
The teacher will check the knife cuts against the models to ensure
proper size and shape. If the knife cuts are not accurate, students
will need to try again.
Chapter 4 Kitchen Basics Review Packet
Chapter 4 Kitchen Basics Test
NOTES: