Lesson 1
Goals
1. Students know
the definition of a vector with its background information situated in
real contexts.
2. Students know terminology pertinent to the topic ( zero vector, unit
vector, inverse vector, initial and end points of a vector)
3. Students know the definition of the vector equality and find if
given vectors are equal or not.
4. Students can represent vectors in a polar representation as well as
in component representation and convert them into
another form.
5. Students can find the magnitude of a given vector with its two
components.
Prerequisite:
1. Students can find the distance between two points by
using Pythagorian theorem.
2. Students know polar and rectangular coordinate systems.
Target graders: 11th
or 12th graders
Teaching procedure:
Step1: Teachers
can start with asking some questions or showing a short video related
to the topic, plane vectors in order to introduce this new concept.
Show
"Weather forecast video"
Q1. On the map, what do the
arrows mean?
and what is the similarity between
them?
Q2. Determine if two arrows mean the same thing or not.
Q3. How can we represent the quantity when a weather forecast
says,
" the winds are from the northeast
at 20 miles per hour." ?
Teachers make students think about the question and discuss with peers.
Step 2:
Teachers use this GSP file to introduce definition, new terminology and
how to represent vectors.
See the file
Step 3:
Now teachers give students the definition of the equality of
vectors.
What it means that vectors are
equal
Step 3:
Teachers can use GSP to teach
how to represent vectors.
How to represent
vectors
Step 4:
Teachers explain how
to find the magnitude of a vector by using its components in
component representaion.
Theorems
Students
Activity:
Technology connection:
1. Access the web site to motivate students.
2. Use GSP for effective teaching and students' better
understanding.
Go
to the next Lesson
