II.ProblemSolvingActivity-MatrixTranslations
- Students will use what they have learned about matrices and translations and apply the two together.
- First, the students need to be given a sheet of graph paper, a blank paper, a ruler and colored pencils.
- Tell students to begin by drawing a quadrilateral on the coordinate grid.
- They don’t need to do anything else.
- Then have them pass their papers to the right.
- Next write 2 up and four down on the board.
- The students need to use this information and the diagram in front of them to write a matrix and use that matrix
to figure out the coordinates of a new triangle. - Tell them to draw this new triangle in a new color.
- Have students sign their name in the color of the triangle they drew.
- Then pass papers again.
- Students should go back to the original triangle.
- Next write 3 down and 2 up on the board.
- Students use a matrix again to design a new triangle.
- Ask the students to draw this one in with a different color.
- You can repeat this as many times as you wish- the students will a translation collection when finished.
III.MeetingObjectives
- Students will use the language of matrices.
- Students will add matrices.
- Students will apply matrices to translations.
IV.NotesonAssessment
- Collect all student work when finished.
- Check student work for accuracy.
- Offer correction/feedback when necessary.
Reflections
I.SectionObjectives
- Find the reflection of a point in a line on a coordinate plane.
- Multiple matrices.
- Apply matrix multiplication to reflections.
- Verify that a reflection is an isometry.
II.ProblemSolvingActivity-ReflectionMatrices
- First, the students will need graph paper, rulers and colored pencils for this activity.
- Tell students to begin by drawing a quadrilateral on a coordinate grid.
- They can use color if they wish to.
- Then tell them that they will be drawing a reflection of this quadrilateral wherey=x.
- If students need more help- tell them that they will be using
[
0 1
1 0
]
to multiply and find the coordinates of the
new polygon.5.12. Transformations