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AKS: 4MA.E.8 identify and draw geometric objects, classify polygons based on properties, and solve problems involving area and perimeter of rectangular figures.
Learning Target: I can draw and identify perpendicular, intersecting, and parallel lines.
Activating Strategy
Activating Strategy
How do the images help you think about relationships between pairs of lines?
What is similar and different about all of the images of railroad tracks?
How did you determine which image doesn’t belong? Explain.
What is another image that does not belong? Explain.
How do these images relate to other real-world objects that include lines?
Mini-Lesson
Mini-Lesson
We have learned precise geometric vocabulary, such as points, lines, line segments, and rays.
Today, we will extend our understanding of lines and line segments to draw and identify parallel and perpendicular lines.
Listen as I think aloud:
When reading the problem, we are asked to describe the relationship among the cars' paths. So, first, I need to look at the map. I see cars traveling on Elm Drive, Main Street, and Pine Road.
The first notice I have is that Main Street and Elm Drive are always the same distance apart. They do not cross or intersect. The blue dotted lines show me that the lines are equidistant to each other.
Lines always have the same distance apart and never intersect; they are called parallel lines. This means that the cars traveling on Main Street and Elm Drive are traveling parallel to each other.
Another example of parallel lines might look like this.
Notice these other examples of parallel lines, shown below:
This is a non-example of parallel lines. Notice how the lines are not equidistant.
The next notice I have is that Main Street and Pine Road intersect.
Their intersection forms a 90° angle or a right angle.
Lines that intersect to form a right or 90° angle are called perpendicular lines. Thus, the cars traveling on Pine Road and Main Street are perpendicular to each other.
Another example of perpendicular lines might look like this:
This is another example of perpendicular lines. The line can be perpendicular even if they meet without crossing.
The final notice I have is that a road intersects Elm Drive and Main Street at an angle that is not a right angle. This means these intersections are not perpendicular. Remember, to be perpendicular, lines must intersect to form a right angle.
When two or more lines meet at a common point, they are known as intersecting lines.
Another example of intersecting lines might look like this:
Guided Practice
Guided Practice
Mathematicians, it is your turn to try!
Draw an example of perpendicular lines.
Draw an example of parallel lines.
Draw an example of intersecting lines.
Independent Task
Independent Task
1. FRECKLE - Complete THREE Freckle Assignments each week. DUE FRIDAY. Your HIGHEST score in Targeted Practice is your weekly math grade - Click HERE for Freckle website
GRADED Targeted Practice - Current skill (5 questions; Score Goal=80% or higher)
Fact Practice - Multiplication Fact Practice
Adaptive Practice - At YOUR level
2. iREADY Math - Complete 30 minutes at your level each week
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