Geometry Prep R. Morales Triangle Properties: Inequalities, Sides

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Geometry Prep
R. Morales
Triangle Properties:
Inequalities, Sides and Angles, Special Lines
10/27/14 – 11/7/14
Learning Activities:
Student Outcomes (Objectives)
Daily Activities
Day 1: Monday 10/27
Test Review
Warm – Up: Students review questions without writing anything
Introduction: Students are going to prepare for test tomorrow!
Practice:
In pairs, students complete different problem from each other
silently. They switch and correct student’s work. Continue this
process until they are done. Once complete, they check answers
online.
Closing:
What have covered? How were the different topics connected?
Warm-Up:
Decide as a class one problem to ask question over if confused. We
will go over.
Test 6
Warm-Up:
Predict test scores – Tests handed back and reassessed
Introduction: Please look at these gifs (1 at a time). Write down what you think is
happening in each one.
 Students assess what each line is doing to the triangle parts - Gif 1: Angle
bisector / Gif 2: Median / Gif 3: Altitude / Gif 4: Perpendicular bisector / Gif 5:
Midsegment
 Student thoughts confirmed/enhanced: Gif 6: Angle bisector with key / Gif 7:
Median with key / Gif 8: Altitude with key / Gif 9: Perpendicular bisector with
key / Gif 10: Midsegment with key
Guided Practice: Students complete exploration about how to find the different
segments given coordinate plane and triangle. Essential Question: Is
there a method to find each using equations of lines?
Indep. Practice: Students complete worksheet concerning these properties.
Closure:
Exit ticket: Think about what we’d need to be able to construct the
angle bisector of a triangle. What tools are involved? What
measurements? Do we need a coordinate plane?
Warm-Up:
Graph 4 different triangles and find the midsegments of one side of
each.
Introduction:
What are the relationships we noticed last time? Do we notice any
other relationships? (Parallel midsegment and base of triangle)
Guided Practice: Students think-pair-share a mixed set of problems that apply
algebraic properties to the 5 different triangle segments we’ve
worked with.
Indep. Practice: Students create their own organizer for the five segments and
their properites. (To help prompt creativity, show a variety of
organizers including infographics, charts, foldables, and at least one
song.)
Closure:
After reviewing everyone’s organizers, do we want to take one and
make a copy for everyone?
Warm-Up:
Students observe gif 11: Triangle Inequality, orientation 1. What is the
relationship between this picture and what we know about
triangles?
Introduction: What is happening in this gif? (a + b > c) If we turn the triangle
around, does it change the content? (gif 12: Orientation 2) Discuss
the universality of the inequality.
Guid. practice: In pairs, try and create possible triangle lengths.
 Scalene
Day 2: Tuesday 10/28
Test
Day 3: Wed/Thurs 10/29 – 10/30
We will determine the
characteristics of altitude,
perpendicular bisector, median and
angle bisector.
Day 4: Friday 10/31
Students will be able to determine
the properties and applications of
the midsegment theorem.
Students will be create the most
efficient graphic organizer for
his/her review of materials.
Day 5: Monday 11/3
Students will be able to connect the
sides of triangles with their opposite
angles and the relationship between
the two.
Students will be able to determine if
three lengths create a possible
triangle.
Day 6: Tuesday 11/4
Students will be able to determine if
three side lengths are a possible
triangle combination.
Day 7: Wed/Thurs 11/5 – 11/6
Students will be able to compile unit
knowledge of materials for test
review.
Day 8: Friday 11/7
 Isosceles
 Equilateral
 Acute
 Obtuse
 Right
 Equiangular
Indep. Practice: Students work on variety of questioning methods for triangle
inequality theorem.
Closure:
Exit ticket quiz – Cannot finish until 100% correct (EXEMPLIFYING
GRIT!)
Warm-Up:
Look at gif 13: Triangle with sides and angles measured. What is the
longest side? Shortest? Middle?
Introduction: Why would I want to know the shortest side of a triangle? Longest?
Middle? If I know the angle measurements, can I find these
quantities?
Guid. Practice: Draw and label a triangle. Use your protractor and measure all three
angles. Then use the ruler side to measure the sides in centimeters.
Classify all the sides and angles from smallest to largest. What do
you notice? (Show gif 14: Labeled and color-coded)
Indep. Practice: Create your own study guide for test review. Covers: median / angle
bisector / perpendicular bisector / altitude / triangle inequality
theorem / smallest to largest sides and angles
Closure:
What are you confused about?
Warm-Up:
Take out all practice work from this section and review any you
might have questions about.
Introduction: Work through your test review using notes and the work you took
out from warm-up.
Guid. Practice: (After 30 minutes of work time) What questions do you have over
the test review? Once we’ve finished answering these questions,
then answer questions about practice work.
Test 7
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