Download Topic A: Unknown Angles Topic B: Constructing Angles

January 8, 2015
7th Grade
Module 5: Geometry
Topic A: Unknown Angles
•
7.G.B.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple
equations for an unknown angle in a figure.
Complementary and Supplementary Angles
Problem Set
Materials
Sample Solutions
Video Support
Video 1: Complementary and Supplementary
Angles
Video 2: Complementary and Supplementary Angles
Video 3: Write and solve equations using
Complementary and Supplementary angles
The Solving for Unknown Angles Using Equations
Problem Set
Materials
Sample Solutions
Topic B: Constructing Angles
•
Video 1: Find Angle Measurements Using Vertical
Angles
Video 2: Write Equations using Vertical Angles
Video 3: Write Equations Using Facts about Angle
Relationships
7.G.A.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing
triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no
triangle.
Identical Triangles
Problem Set
Materials
Sample Solutions
Video 1: Corresponding Sides of a Triangle
Video 2: Corresponding Sides and Angles of a
Triangle
Video 3: Constructing a Triangle
January 8, 2015
Drawing Geometry Shapes
Problem Set
Materials
Sample Solutions
Video 1: How to Use a Compass
Video 2: How to Use a Safe-T Compass
Video 3: Constructing a 90 Degree Angle
Video 4: Draw Geometric Shapes Give
Drawing Parallelograms
Problem Set
Materials
Sample Solutions
Video 1: Draw a Polygon Using More than One
Condition
Video 2: Draw a parallelogram
Drawing Triangles
Video 1: Draw Geometry Shapes Give the Length
of Sides
Video 2: Draw Triangles Using Given Angles
Conditions for a Unique Triangle-Three Sides and Two Sides and the Included Angle
Problem Set
Materials
Sample Solutions
Video 1: Draw a Triangle with a Protractor
Conditions for a Unique Triangle – Two Angles and a Given Side
Problem Set
Materials
Sample Solutions
Video 1: Constructing a Triangle-- 2 angles, 1 side
Conditions of Measurement that Determine a Triangle
Problem Set
Materials
Unique Triangles-Two Sides and a Non-Included Angle
Sample Solutions
Video 1: Draw a Geometric Shape given the
Length of Sides
January 8, 2015
Problem Set
Materials
Checking for Identical Triangles
Problem Set
Materials
Sample Solutions
Sample Solutions
Video 1: Discussion about Identical Triangles
Video 2: Examples of Checking for Identical Triangles
Using Unique Triangles to Solve Real-World and Mathematical Problems
Problem Set
Materials
Sample Solutions
Video 1: Triangles in the real World-- Prezi
Topic C: Slicing Solids
•
7.G.A.3 Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular
prisms and right rectangular pyramids.
Slicing a Right Rectangular Prism with a Plane
Problem Set
Materials
Slicing a Right Rectangular Pyramid with a Plane
Problem Set
Slicing on an Angle
Problem Set
Sample Solutions
Materials
Sample Solutions
Materials
Sample Solutions
Video 1: Two-Dimensional Cross-Sections
(prisms)
Video 1: Two-Dimensional Cross-Sections
(pyramids)
January 8, 2015
Video 1: Slicing a Shape (various shapes)
Video 2: Demonstrating Various Slices of Shapes
Understanding Three-Dimensional Figures
Problem Set
Materials
Sample Solutions
Video 1: Identify & Label Three-Dimensional
Figures
Topic D: Problems Involving Area and Surface Area
• 7.G.B.6 Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects
composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Real-World Area Problems
Problem Set
Materials
Sample Solutions
Mathematical Area Problems
Problem Set
Materials
Sample Solutions
Video 1: Real World Problem-Finding the
Area of a Rectangle
Video 2: Real World Problem-Counting
Columns and Rows
Video 1: Find Missing Edge Lengths on
Composite Figures
Area Problems with Circular Regions
Problem Set
Materials
Sample Solutions
Surface Area
Problem Set
Materials
Sample Solutions
Video 1: Area of Combined Shapes
Video 2: Area of Composite Shapes (start at
2:09)
Video 1: Rectangular prisms—find surface
area
Video 2: Rectangular prisms—find surface area
January 8, 2015
Video 3: Real world problems—surface area
Topic E: Problems Involving Volume
•
7.G.B.6 Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects
composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Volume of Right Prisms
Problem Set
Materials
Sample Solutions
Video 1: Find Volume by Counting Cubes
Volume of Composite Three-Dimensional Objects
Problem Set
Materials
Sample Solutions
Video 1: Volume of 3-D Composite Objects
Real-World Volume Problems
Problem Set
Materials
Sample Solutions
Video 1: Volume of water in different shaped pools
Video 2: Volume of rectangular prism using cubes
Video 3: Volume of rectangular prism with fractional
edge lengths
Video 4: Volume of water—fish tank (liters)