# Lines, Angles and Shapes

**BIG IDEAS****:**

*(taken from “Big Ideas by Dr. Small”)***:**

- Some attributes of shapes are quantitative, others are qualitative.
- What makes shapes alike and different can be determined by geometric properties. For example, shapes have sides that are parallel, perpendicular or neither; they have lines of symmetry, rotational symmetry, or neither.
- Many geometric properties and attributes of shapes are related to measurement, for example, how far apart two parallel lines are or how the side lengths of a shape compare.

**STUDENT LEARNING GOALS:**

**GOAL #1: I can construct parallel, intersecting and perpendicular lines on paper and computer applications.**

- VIDEO: Geometry Basics
*(Source: Math Antics)* - VIDEO: Lines, Rays and Segments
*(Source: Khan Academy)* - VIDEO: Naming Angles
*(Source: Khan Academy)* - VIDEO: Measuring Angles using a Protractor
*(Source: Khan Academy)* - VIDEO: Constructing Angles using a Protractor
*(Source: Khan Academy)* - VIDEO: Angles and Intersecting Lines
*(Source: Khan Academy)* - VIDEO: Perpendicular versus Parallel Lines
*(Source: Khan Academy)* - VIDEO: Identifying Parallel and Perpendicular Lines
*(Source: Khan Academy)* - VIDEO: Using a Compass to Draw Perpendicular Lines
*(Source: Antonija Horvatek)* - VIDEO: Using a Compass to Draw Parallel Lines
*(Source: Antonija Horvatek)* - VIDEO: Geometric Definitions
*(Source: Khan Academy)*

**GOAL #2: I can construct angle and perpendicular bisectors on paper and computer applications.**

- VIDEO: Drawing Perpendicular Bisectors
- VIDEO: Drawing Angle Bisectors
- Equal Lengths and Angles

**GOAL #3: I can construct triangles with given conditions and explore the properties of triangles.**

- VIDEO: Classifying Triangles
- VIDEO: Constructing Triangles
- QUIZ: Classifying Triangles by Angle
- QUIZ: Classifying Triangles by Side Length
- GAME: Triangle Shoot
- GAME: Math Interactive
- QUIZ: Constructing Triangles

**GOAL #4: I can sort, classifying and construct a variety of different quadrilaterals.**

- VIDEO: Classifying Quadrilaterals
- QUIZ: Measuring Angles in Polygons
- QUIZ: Properties of Polygons
- QUIZ: Sorting Polygons
- GAME: Quadrilateral Quest)

**CURRICULUM EXPECTATIONS:**

- Construct related lines, and classify triangles, quadrilaterals, and prisms;
- Construct related lines (i.e., parallel; perpendicular; intersecting at 30º, 45º, and 60º), using angle properties and a variety of tools (e.g., compass and straight edge, protractor, dynamic geometry software) and strategies (e.g., paper folding);
- Sort and classify triangles and quadrilaterals by geometric properties related to symmetry, angles, and sides, through investigation using a variety of tools (e.g., geoboard, dynamic geometry software) and strategies (e.g., using charts, using Venn diagrams);
- Construct angle bisectors and perpendicular bisectors, using a variety of tools (e.g., Mira, dynamic geometry software, compass) and strategies (e.g., paper folding), and represent equal angles and equal lengths using mathematical notation;