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What’s Up With Triangles?. Math Lollapalooza May 7, 2013. Presented by Mary Alice Hatchett, President of TCTM. How many triangles?. A treasure trove of triangles. A treasure trove of triangles NCTM article from January 2010 journal ‘Teaching Children Mathematics’. - PowerPoint PPT Presentation
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What’s Up With Triangles?
Math LollapaloozaMay 7, 2013
Presented byMary Alice Hatchett, President of TCTM
A treasure trove of triangles
How many triangles?
A treasure trove of trianglesNCTM article from January 2010 journal ‘Teaching Children Mathematics’
Triangles in the REAL World
Triangle Vocabulary
TRIANGLE
a closed shape formed by connecting three line segments.
Triangle Vocabulary
EQUILATERAL TRIANGLE
a triangle with all three sides congruent and all angles measuring 60 degrees
CLASSIFIED BY SIDE LENGTH
Triangle Vocabulary
SCALENE TRIANGLE
a triangle with no congruent sides or congruent angles.
CLASSIFIED BY SIDE LENGTH
Triangle Vocabulary
ISOSCELES TRIANGLE
a triangle with two congruent sides and congruent angles opposite the congruent sides
CLASSIFIED BY SIDE LENGTH
Triangle Vocabulary
RIGHT TRIANGLE
a triangle that has one 90 degree angle
CLASSIFIED BY ANGLE MEASURE
Triangle Vocabulary
ACUTE TRIANGLE
all angles in the triangle are less than 90 degrees
CLASSIFIED BY ANGLE MEASURE
Triangle Vocabulary
OBTUSE TRIANGLE
a triangle with one angle that is greater than 90 degrees
CLASSIFIED BY ANGLE MEASURE
Triangle Vocabulary
VERTEX ANGLE OF A TRIANGLE
the angle in an isosceles triangle that is not opposite a congruent side
Triangle Vocabulary
HYPOTENUSE OF A TRIANGLE
the side of a right triangle opposite the right angle; the longest side of a right triangle
Triangle Vocabulary
LEG OF A TRIANGLE
one of the sides of a right triangle that is not the hypotenuse.
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)
Triangle Vocabulary
BASE ANGLES OF A TRIANGLE
two congruent angles that are opposite the congruent sides in a isosceles triangle
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.
Triangle Match Up Game
Obtuse & Isosceles
Obtuse & Scalene
Right & Isosceles
Acute & Equilateral
Acute & Isosceles
Acute & Scalene
Right & Scalene
Not a triangle
Triangle Match Up Game
Between peRIMeter and Height
You need:• 6 strips of paper (about 2cm by 21 cm)• Tape• Centimeter grid paper• Centimeter ruler
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.
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
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.
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.
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?
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