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Drawing Angles

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Drawing Angles
CCSS.MATH.CONTENT.4.MD.C.6

Basics on the topic Drawing Angles

Content

In this Drawing Angles Video

Nico and Nia are playing mini golf. Nico is figuring out the angle he needs to hit the ball in order to get a hole in one. We can help Nico by drawing angles with a protractor. Will he score a perfect game?

Drawing Angles

We use a tool called a protractor to draw angles. First,make a vertex Then, we need to line up the vertex with a

Examples of Drawing Angles Using a Protractor


drawing angles less than 180 with a protractor

Follow Up Activities for Constructing Angles

There is additional angles drawing practice with drawing angles with a protractor worksheet and drawing angles activities. The drawing angles activity will give more examples of how to use the protractor and the angles draw

Transcript Drawing Angles

Nico and Nia are playing mini-golf. Nico is figuring out the angle he needs to hit the ball in order to get a hole in one. If he understands the angles, he can get the perfect putt. : “Drawing Angles” A protractor is the tool we use to make angles. The baseline helps draw straight lines and line up the angles. The inner and outer scales are what we use to measure the degrees. REMEMBER, we use the set of numbers on the scale that are facing the SAME DIRECTION as our angle opening. Let’s see how we can help Nico use the protractor to draw the angle as he lines up his putt. If he putts a one hundred eighty-degree straight angle through the tunnel, he will make this shot. First, he'll use the tunnel as the MIDDLE of the angle and make a dot here for the VERTEX. Next, he'll use the straight edge to draw a LINE SEGMENT from the vertex to the ball and from the vertex to the cup. Nico swings and(...)HOLE IN ONE! WE DID IT! This next course is challenging because he must hit the ball off the statue to go into the cup. Using the statue as the point where the line segments meet, let’s help Nico draw this angle. What should we do first? First, we’ll make a dot to represent the vertex. Then we need to line up the vertex and the ball. Draw a line segment to connect these two points. Now line this up with the zero on the OUTER SCALE of the protractor. Follow the outer scale until it intersects with the cup. How many degrees is this angle? This angle is ONE HUNDRED FIFTEEN degrees. Make a dot at this point just above the protractor. Move the protractor so the straight edge lines up from the vertex to the mark(...) made at one hundred fifteen degrees. Draw a line segment to connect these two points. If Nico follows our angle, he will make the hole in one! YES! This next hole looks like a right angle. Let's draw it to see if it is ninety degrees. We'll use the pinwheel as the vertex. First, make a dot here. Using the straight edge, draw a line segment from the vertex to the ball. Now we will line up with the zero on the outer scale. What do we need to do next? We follow the outer scale until it intersects with the cup. Here, we make a dot above the protractor at NINETY degrees. Now we return to the straight edge and line it up from the vertex to this point. We'll draw a straight line to connect. Did we make a right angle? Nico's putt follows the right angle and he has DONE it again! The last hole of the game is a thirty-degree angle. Let’s draw it so Nico knows what to do. The tower of the castle is where the two line segments meet, so we’ll draw the dot there to show the vertex. Draw the line segment from the vertex to the ball. What should we do next? Place the baseline along this line segment where it lines up with zero. On the outer scale, look for thirty degrees Place a mark at the thirty-degree point because this is where the cup intersects. Then we’ll use the straight edge to connect these points. Remember(...)we can use a protractor to draw angles. First, make a vertex and use the straight edge to draw a line. Then, place the center of the baseline on the vertex and line up with zero. Next, find the given measurement along the proper scale and mark that spot. Finally, use the straight edge to connect the vertex to the measured spot. [Nico hits the ball into the hole and the ball pops back out. Nico looks confused and looks into the hole; Nia is in there. She hops up and high fives Nico.] Nico scored a perfect game by drawing angles to figure out how he should hit the ball! Now THAT deserves a high five!

Drawing Angles exercise

Would you like to apply the knowledge you’ve learned? You can review and practice it with the tasks for the video Drawing Angles .
  • How do you draw an angle?

    Hints

    We need to draw a baseline before we can draw the angle.

    Look at the picture. The baseline has been drawn, what happens next?

    Solution
    1. First, make a vertex and use the straight edge to draw a line.
    2. Then, place the center of the baseline on the vertex and line it up with zero.
    3. Next, find the given measurement along the correct scale and mark that spot.
    4. Finally, use the straight edge to connect the vertex to the measurement spot.
  • Will Nico make the shot?

    Hints

    Has Nico found the correct spot on the protractor to draw the angle?

    Does the angle line up with the hole (not the top of the flag)? If it doesn't the angle must be incorrect.

    Solution

    Here are the correct angles.

    • The first angle and the third angle Nico drew were correct.
    • He lined up the protractor and marked the correct spot needed.
    • The second angle and the fourth angle Nico drew were incorrect.
    • The spots he marked on the protractor were not the correct ones to make the hole meaning the ball rolled past.
  • Can you match the angles?

    Hints

    One line is drawn along the baseline. Look at the number where the other line crosses the protractor.

    The angle being drawn here is 70°.

    Solution
    • The first angle drawn was 90°. We can see the line pass through the 90° mark on the protractor. It is a right angle.
    • The second angle drawn was 180°. We can see the line pass through the 180° mark on the protractor.
    • The third angle drawn was 30°. We can see the line pass through the 30° mark on the protractor.
    • The fourth angle drawn was 110°. We can see the line pass through the 110° mark on the protractor.
  • Can you label these angles correctly?

    Hints

    Is the zero on the baseline? If it is then look at which mark on the protractor the line goes through, this is the angle.

    Read the number on the curved edge of the protractor where the line passes through.

    Sometimes it might be halfway between two numbers. For example, the angle drawn here is 55° as the line passed through the 55 mark on the protractor.

    Solution

    Here are the angles.

    Each angle

    • had zero lined up on the baseline
    • had a mark made at the given measurement on the curved edge of the protractor
    • had the line drawn through that mark using the straight edge of the protractor

  • Where should Nico draw the line?

    Hints

    Which number are we looking for on the protractor? What angle does Nico need to make the hole in one?

    Look for the given angle starting from zero, where the ball is.

    The dotted line shows the angle Nico needs to make.

    Solution

    Nico needed to make a 35° angle to get the ball in the hole so 35° needed highlighting on the protractor.

    If we were drawing this angle, this is where we would make a mark before using the baseline edge to draw the line.

  • Nia's Golf Course

    Hints

    Which part of the protractor do you use to draw a line?

    Which number does the line pass through to get to the hole?

    Solution

    Nia decided there would be a tree obstacle on the first hole. To draw the angle she needs to first make a vertex by the obstacle and use the straight edge of the protractor to draw a line from it to the starting tee.

    Nia then looked to see where the hole is. She knew she had to make a mark next to the number that lined up with the hole.

    Nia then used the straight edge of the protractor to draw a line from the vertex at the tree to the hole.

    The players on this hole will need to make a shot with an angle of 120° to get a hole in one!