angles, angles, everywhere
DESCRIPTION
Angles, Angles, Everywhere. Mrs. Keen 6 th grade Math [email protected]. Just warming up…. Identify each object as containing an acute, right, or obtuse angle Right Obtuse Acute. Learning Objectives. - PowerPoint PPT PresentationTRANSCRIPT
Just warming up…
Identify each object as containing an acute, right, or obtuse angle
Right Obtuse Acute
Learning Objectives
The student will use angle measurement to classify angles as acute, right, or obtuse (TEKS 6.6a)
The student will identify relationships involving angles in triangles and quadrilaterals (TEKS 6.6b)
Vocabulary to Know
Acute angle – an angle less than 90°
Angle – two rays with a common endpoint
Degree – unit of measure for angles °
Angle Vocab con’t…
Obtuse angle – an angle greater than 90°
Straight angle – an angle whose measure is exactly 180°
Shapes, Shapes, & More Shapes Polygon – a geometric figure made
up of three or more line segments that intersect only at their endpoints
Vertex (pl. vertices) – the common endpoint of the two rays form an angle
Shapes con’t…
Triangle – a polygon with three sides and three vertices
Quadrilateral – a polygon with four sides and four vertices
Quadrilaterals
Square – a polygon with four equal sides and four right angles
Rectangle – a polygon with four right angles and four sides
Quadrilaterals con’t…
Trapezoid – a quadrilateral with exactly one pair of parallel sides
Parallelogram – a quadrilateral with exactly two pairs of parallel sides
Angles and Triangles
The sum of all angles in a triangle equals 180°
80° + 50° + 50° = 180° 90° + 45° + 45° = 180° 110° + 45° + 25° = 180°
80°
50° 50°
45°
45°90°
110°
45°
25°
So….
If we know that the sum of all angles in a triangle equals 180°, then…
What is the measure of the missing angles?
72° + 78° + ? = 180° 45° + 45° + ? = 180° 115° + 35° + ? = 180°
180° - 150° = 30° 180° - 90° = 90° 180° - 150° = 30°
72°
78°
?
35°115°
45°
45°
??
Triangles vs. Squares and RectanglesSince a square can be divided into two triangles, then…
the sum of all angles in a square is 360°, because 180° + 180° = 360°
Since a rectangle can be divided into two triangles, then…
the sum of all angles in a rectangle is 360°, because
180° + 180° = 360°
180°
180° 180°
180°360° 360°
Triangles vs. Parallelograms and TrapezoidsSince a parallelogram can be divided into two triangles, then…
the sum of all angles in a parallelogram is 360°, because 180° + 180° = 360°
Since a trapezoid can be divided into two triangles, then…
the sum of all angles in a trapezoid is 360°, because 180° + 180° = 360°
180°
180°
180°
180°360° 360°
So…
If we know that the sum of all angles in a square, rectangle, parallelogram, and trapezoid equals 180°, then…
What is the measure of the missing angles?
90° + 90° + 90° + ? = 180° 90° + 90° + 90° + ? = 180°
360° - 270° = 90° 360° - 270° = 90°
110° + 70° + 110° + ? = 180° 110° + 70° + 70° + ? = 180°
360° - 290° = 70° 360° - 250° = 110°
90°
90°
90°
90°
90°
90°
??
?
?
110°
110°
70°110°
70°70°
Angles in the Real World
Now its your turn…
You will be going out onto the playground and will search for “real life” examples of acute, obtuse, and right angles. Separate into your assigned
groups Decide which group member will
be the record keeper Head out to the playground, you
will have 15 minutes to gather as many items as you can
Scavenger Hunt ResultsAcute
(less than 90°)Right
(90°)Obtuse
(more than 90°)Wheelchair ramp Window pane Tree branches
Swing set Basketball court Slide roof
Moon climber Slide Baseball fence
Soccer goal Door Fence line
Baseball base (top) Fence line School building
Football field
Football goal
Bleachers
School building