This week
Lessons 106, 107, 108, 109 & 110
Angles • Measured in degrees • Named by the vertex or if given 3 points the vertex is listed second • ∠
Name Definition Drawing Angle • 2 rays with a shared endpoint called a vertex Adjacent Angle • 2 angles that share a vertex and a side Right Angle • Measures 90°
Acute Angle • Measures < 90°
Obtuse Angle • > 90° but < 180°
Straight Angle • Measures = 180°
Name the angle. B A N L 85° 25° C D M
m∠ CDB + m∠ BDA = m∠ ADC ∠NNN or ∠LLL or ∠M 25° + 85° = 110°
Name each angle 3 ways and then identify as acute, right or obtuse. Q R C P A
B
Obtuse Angle Acute Angle ∠PPP or ∠RRR or ∠Q ∠B or ∠ AAA or ∠ CCC
Using a Protractor to Measure Angles: • Place the vertex marker of the protractor at the vertex of the angle. • Rotate the protractor until the horizontal line extending from the vertex marker is on one side of the angle • Read the scale of the protractor to see where the other side of the angle intersects the protractor. You may need to extend the line using a straight edge to measure.
To Draw an Angle Using a Protractor: • Use the straight edge to draw one of the angle’s rays • Place the vertex marker of the protractor at the vertex of the angle and the horizontal line on the ray • Mark the correct degree measure • Use the straight edge to draw a ray from the vertex to the mark
Measure the angle. Draw an angle that is 115°
53°
Measure the following angles.
45° 120°
Draw an angle that measures 160°.
Closed Figures and Polygons
Closed Figure • 2-dimensional figure • Begins and ends at the same point
Polygon • Closed figure • Made of line segments called sides
A point where two sides meet is called a vertex. A diagonal is a line segment that joins two opposite vertices.
Sides Name Sides Name 3 Triangle 6 Hexagon 4 Quadrilateral 8 Octagon 5 Pentagon 10 Decagon
Name a polygon with 6 sides.
Hexagon
Draw three different quadrilaterals.
Rectangle, square, and trapezoid
Draw an octagon that does not look like a stop sign.
Any polygon with 8 sides
explain why a circle is a closed figure but not a polygon. Suggested Answer: A circle is a closed figure because its continuous curved boundary completely encloses an interior area, leaving no gaps or endpoints. However, it is not a polygon because polygons must be composed entirely of straight-line segments and possess sharp corners (vertices), which circles completely lack. Quick Review Mr. Potts began cooking supper at 3:45pm and finished at 6:23pm. How much time elapsed? 2:38 or 2 hours and 38 minutes Identify each number as prime, composite or neither. Number 5 21 0 546 19 Prime, P C N C P Composite, or Neither Compare each pair of fractions using < > or = 9 3 6 2 3 4 5 7 > = = < 10 4 27 9 6 8 11 11 1 Marcio rode his bike 3 miles in the morning. That afternoon he rode his 3 3 bike 2 miles. How many miles did he ride his bike today? 4 1 6 mi 12
| Work-text | Lesson 106 | Lesson 107 | Lesson 108 | Lesson 109 | Lesson 110 |
|---|---|---|---|---|---|
| Speed drill | 106 | 107 | 108 | 110 |
| Term | Meaning |
|---|---|
| named | • Named by the vertex or if given 3 points the vertex is listed second |
| called a vertex | called a vertex |
| name | Definition Drawing |
| vertex | A point where two sides meet is called a vertex. A diagonal is a line |
| diagonal | A point where two sides meet is called a vertex. A diagonal is a line |