Geometry
Unit description: Students will solve real-life and mathematical problems involving angle measures, area, circumference, surface area and volume.
Essential Outcomes of the Unit
Geometry- Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
7.G.4 Apply the formulas for the area and circumference of a circle to solve problems
7.G.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.
Other Standards Addressed in the Unit
Geometry- Draw, construct, and describe geometrical figures and describe the relationships between them.
7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
7.G.2 Draw triangles when given measures of angles and/or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
7.G.6 Solve real-world and mathematical problems involving area of two-dimensional objects
composed of triangles and trapezoids. Solve surface area problems involving right prisms and right pyramids composed of triangles and trapezoids. Find the volume of right triangular prisms, and solve volume problems involving three dimensional objects composed of right rectangular prisms.
7.G.3 Describe the two-dimensional shapes that result from slicing three-dimensional solids parallel or perpendicular to the base.
Essential Questions and Big Ideas
How do I apply my knowledge of angles to find missing measurements?
- Supplementary angles are angles that make a straight angle or 180 degrees.
- Complementary angles are angles that make a right angle or 90 degrees.
- Vertical angles are opposite each other when two lines intersect and they are equal.
- Adjacent angles share a vertex.
- Triangles have three angles that add up to 180 degrees.
What makes a circle a circle? What does it mean to talk about the size of a circle?
- The set of points in a plane that are the same distance from another point define a circle.
- The radius, diameter, circumference, and area of a circle are related; you can use them to talk about the size of a circle.
What are scale drawings and how are they useful?
- Scale drawings are drawn proportional to real world measurements.
- A scale drawing can be created to represent smaller versions of projects.
How do I draw, construct, and describe geometrical figures and describe the relationships between them?
- The area of a shape can be found by decomposing it into known figures, such as triangles and rectangles.
- Areas and volumes of triangular shapes can be related to rectangular shapes.
Download the complete Grade 7 Math Unit 5 framework to customize for your own planning.