MRCG - Module Overview
Making Relevant Connections With Geometry
Introduction
Students will learn how to determine supplementary, complementary, vertical, and adjacent angles and how to solve simple equations to find the measure of unknown angles in a figure. These concepts are important because it is important to be able to understand the areas related to space and the position, size and shape of things in it. Students will learn to use the formulas for area and circumference of a circle to solve problems. They will explain the relationship between the circumference and area of the circle. Students will identify the figures formed by cross sections and learn to solve real-world problems that involve area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Essential Questions
- How can you identify cross sections of three-dimensional figures?
- How can you use angle pairs to solve problems?
- How do you find the circumference of a circle?
- How do you find the area of a circle?
- How can you use the circumference of a circle to find the area?
- How are circumference and area of circles related?
- What is a composite figure?
- How can you find the area of a composite figure?
- How can you find the volume of a figure composed of cubes and prisms?
- How can you find the surface area of a figure made up of prisms?
Key Terms
Acute Angle-angles measuring less than 90°
Adjacent Angles-angles that are abutted to one another and share a common side and a common vertex
Angle measure-the degrees of an angle
Area-Area is the number of square units necessary to cover a given surface.
Circumference-The circumference is the distance around a circle and is found by multiplying the diameter by 3.14(pi).
Complementary Angles-two angles that add up to 90o.
Composite Figure-A composite figure is a shape that can be divided into more than one of the basic figures.
Congruent Angles-angles that have the same measure
Cross Section-Two dimensional figures that are formed when a three-dimensional figure is sliced by a plane
Degree-angles can be measured in units called degrees
Diameter-The diameter of a circle is a line segment that passes through the center of a circle and whose endpoints lie on the circle.
Intersection- The points that are common to two or more geometric figures.
Obtuse Angle-angles measuring more than 90° and less than 180°
Parallel- lines that lie in the same plane and never intersect
Perpendicular-a straight line that intersects another line and makes a 90° angle
Pi-Pi is the ratio of a circle\'s circumference to its diameter. The constant represented by 3.14.
Radius-The radius is a line segment that represents the distance from the center of a circle to a point on the circle.
Supplementary Angles-two angles that add up to 180o also called a linear pair.
Transversal-a line that crosses a set of lines
Unit Angle-an angle that cuts 1/360 of a circle and measures 1 degree
Vertical Angles-angles that are opposite each other in intersecting lines, their measures are congruent
Vertex-the common endpoint formed by two rays
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