What’s Up With Triangles?
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Transcript of What’s Up With Triangles?
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What’s Up With Triangles?
Math LollapaloozaMay 7, 2013
Presented byMary Alice Hatchett, President of TCTM
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A treasure trove of triangles
How many triangles?
A treasure trove of trianglesNCTM article from January 2010 journal ‘Teaching Children Mathematics’
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Triangles in the REAL World
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Triangle Vocabulary
TRIANGLE
a closed shape formed by connecting three line segments.
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Triangle Vocabulary
EQUILATERAL TRIANGLE
a triangle with all three sides congruent and all angles measuring 60 degrees
CLASSIFIED BY SIDE LENGTH
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Triangle Vocabulary
SCALENE TRIANGLE
a triangle with no congruent sides or congruent angles.
CLASSIFIED BY SIDE LENGTH
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Triangle Vocabulary
ISOSCELES TRIANGLE
a triangle with two congruent sides and congruent angles opposite the congruent sides
CLASSIFIED BY SIDE LENGTH
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Triangle Vocabulary
RIGHT TRIANGLE
a triangle that has one 90 degree angle
CLASSIFIED BY ANGLE MEASURE
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Triangle Vocabulary
ACUTE TRIANGLE
all angles in the triangle are less than 90 degrees
CLASSIFIED BY ANGLE MEASURE
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Triangle Vocabulary
OBTUSE TRIANGLE
a triangle with one angle that is greater than 90 degrees
CLASSIFIED BY ANGLE MEASURE
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Triangle Vocabulary
VERTEX ANGLE OF A TRIANGLE
the angle in an isosceles triangle that is not opposite a congruent side
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Triangle Vocabulary
HYPOTENUSE OF A TRIANGLE
the side of a right triangle opposite the right angle; the longest side of a right triangle
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Triangle Vocabulary
LEG OF A TRIANGLE
one of the sides of a right triangle that is not the hypotenuse.
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Triangle Vocabulary
ALTITUDE OF A TRIANGLE
a line segment that goes from a vertex to the opposite side (BASE) forming a right angle ( also known as HEIGHT)
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Triangle Vocabulary
BASE ANGLES OF A TRIANGLE
two congruent angles that are opposite the congruent sides in a isosceles triangle
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Triangle Match Up Game
You will need:• One set of game cards (shuffled) per pair of students• One game board OR the label cards
Take a minute to read the directions.
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Triangle Match Up Game
Obtuse & Isosceles
Obtuse & Scalene
Right & Isosceles
Acute & Equilateral
Acute & Isosceles
Acute & Scalene
Right & Scalene
Not a triangle
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Triangle Match Up Game
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Between peRIMeter and Height
You need:• 6 strips of paper (about 2cm by 21 cm)• Tape• Centimeter grid paper• Centimeter ruler
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Between peRIMeter and Height
Between you and your partner – build:• Fold one strip into thirds, and tape to make a triangle. Label it shape “A”• Fold the other strips into 4ths, 5ths, 6ths, 7ths, and 8ths. Label as B, C, D, E, and F.
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Between peRIMeter and Height
Measure the length of 1 side of each shape and write the measurement on your shape.
ORDER:The shapes from shortest side length to longest side length.
Side length
Height
# squares
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Between peRIMeter and Height
Stand each shape on 1 side.
ORDER:The shapes from shortest to tallest.
Side length
Height
# squares
Measure the height of each shape and write the measurement (h=___) on the back of the side length.
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Between peRIMeter and Height
Lay your shapes FLAT on the grid paper. Carefully trace around each shape.
COUNT:The number of square units inside your shape. Record your count on the grid AND record the shape ID.
CAREFULLY:Cut out each shape and order them from least number of squares to most number of squares.
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Between peRIMeter and Height
Lay your shapes FLAT on the grid paper. Carefully trace around each shape.
COUNT:The number of square units inside your shape. Record your count on the grid AND record the shape ID.
CAREFULLY:Cut out each shape and order them from least number of squares to most number of squares.
Side length
Height
# squares
Are they in the same order as before?
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Thank You for attending.
Don’t forget to put the AACTM Fall date on your calendar.
CAMT will be in San Antonio this summer. AACTM will get together for a ‘Happy Hour’
Mary Alice HatchettMy website: mahatchett.com
My email: [email protected] store: www.teacherspayteachers.com/Store/Mary-Alice-
Hatchett
AACTM website: www.aactm.org