Objectives Covered:
NC.G.1: Draw and identify points, lines, line segments, rays, angles, and perpendicular and parallel lines.
NC.MD.6: Develop an understanding of angles and angle measurement.
• Understand angles as geometric shapes that are formed wherever two rays share a common endpoint, and are measured in degrees.
• Measure and sketch angles in whole-number degrees using a protractor.
• Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems.
NC.G.2: Classify quadrilaterals and triangles based on angle measure, side lengths, and the presence or absence of parallel or perpendicular lines
NC.G.3: Recognize symmetry in a two-dimensional figure, and identify and draw lines of symmetry
Additive Angles: combining measures of 2 or more adjacent angles to make a "big angle
Decomposing Angles: breaking down a "big angle" into 2 or more "small angles"
**Angle 1+Angle 2=Angle 3
**Missing "Big Angle"? ADD
**Missing "Small Angle"? SUBTRACT
When Classifying Quadrilaterals you focus on specific attributes of a shape; it sides (looking parallel sides and congruent sides) and angles (right, acute, obtuse). The main types of quadrilaterals we classify are:
When Classifying Triangles you focus on specific attributes of a shape; sides and angles. HOWEVER a triangle can be classified by its SIDES or its ANGLES. So one triangle could be named based on its side lengths and also have another named based on is angles. For example, it's possible to have a one triangle that could be considered:
Equilateral Triangle
Acute Triangle
Equilateral Acute Triangle
Shapes and Figures can have all types of symmetry. The Line of Symmetry is where you could "fold" a shape and it would fit perfectly over its other side. There's several types of Lines of Symmetry
Vertical Symmetry
Horizontal Symmetry
Diagonal Symmetry
Regular Polygons (shapes that have all equal sides and angles) have the same number of Lines of Symmetry as they do sides.