Compacted Math Week 8

8/12/2019 Compacted Math Week 8

1/19

MEASUREANDDRAWANGLESUSINGAPROTRACTOR Think: What does an angle measure represent?

Think: What is a degree?


2/19

MEASUREANDDRAWANGLESUSINGAPROTRACTOR


3/19

MEASUREANDDRAWANGLESUSINGAPROTRACTOR Note: A protractor is a tool used to measure

angles.

Discuss: How would you compare a protractorto other measurement tools?


4/19



5/19



6/19

MEASUREANDDRAWANGLESUSINGAPROTRACTOR Answer: How does the red section that

appears on the protractor help youunderstand the measure?

Answer: How does the AngleViewer Visual

Protractor help you relate fractions to anglemeasures?

Draw angles with straightedges and thenmeasure and record the measurements usingAngleViewer Visual Protractors. Drawdifferent types of angles, including acute,obtuse, right, straight, and reflex.

Answer: Why do you need to mark your anglewith a small arc?


7/19

MEASUREANDDRAWANGLESUSINGAPROTRACTOR Draw, label, and record measures for angles of

specified measures: 45, 100, 135, 38, 200

As you work, ask them to classify the anglesthey draw and provide reasoning for yourclassification.

Discuss: What are the challenges of drawingangles of specified measure? Share setbacksand strategies for improvement.

Answer: What are the challenges of learningthe new tasks of drawing and measuringangles?


8/19



9/19

DESCRIBEANGLEMEASURESASADDITIVEANDSOLVEPROBLEMSINVOLVINGANGLEMEASUREMENT Watch: BBC Bitesize Maths: Angles

Answer:

What do the dashed lines in the grassy circle arearepresent?

How much would you turn the water sprinkler tosquirt the dog with water?

Will you need an angle larger or smaller than 90 tosquirt the see-saw?

How much would you turn the water sprinkler tosquirt the see-saw?
http://www.bbc.co.uk/schools/teachers/ks2_activities/maths/angles.shtmlhttp://www.bbc.co.uk/schools/teachers/ks2_activities/maths/angles.shtmlhttp://www.bbc.co.uk/schools/teachers/ks2_activities/maths/angles.shtmlhttp://www.bbc.co.uk/schools/teachers/ks2_activities/maths/angles.shtmlhttp://www.bbc.co.uk/schools/teachers/ks2_activities/maths/angles.shtmlhttp://www.bbc.co.uk/schools/teachers/ks2_activities/maths/angles.shtmlhttp://www.bbc.co.uk/schools/teachers/ks2_activities/maths/angles.shtml


10/19

DESCRIBEANGLEMEASURESASADDITIVEANDSOLVEPROBLEMSINVOLVINGANGLEMEASUREMENT Answer:

How can the angle measures used to squirt thedog and the see-saw help you determine theangle measure needed to squirt the slide?

What angle measure would you use to squirt theclown?

Note: An angle can be composed by two ormore non-overlapping angles, and the

measure is equal to the sum of the measures ofthe angles.


11/19

DESCRIBEANGLEMEASURESASADDITIVEANDSOLVEPROBLEMSINVOLVINGANGLEMEASUREMENT Apply additive reasoning to justify your

strategies for determining each of the angles.

Answer: How does thinking flexibly aboutangles help you determine their measure?


12/19

DESCRIBEANGLEMEASURESASADDITIVEANDSOLVEPROBLEMSINVOLVINGANGLEMEASUREMENT View: Visual Learning Measuring with Unit

Angles

Throughout the presentation, explore the anglemeasures of the parallelogram (tan) andtrapezoid (red) using your pattern blocks.

Answer:

How do you know the smallest angle of the tanparallelogram represents 30?

How could you use the tan parallelogram to helpyou determine the angle measurements of allother pattern blocks?

What are the measures of the angles in the greentriangle and how do you know?
https://mymcps-instruction.mcpsmd.org/sites/ICResources/Lists/Resources/2a8eb759-8062-416c-9603-9516caea665b/A64214/player.htmlhttps://mymcps-instruction.mcpsmd.org/sites/ICResources/Lists/Resources/2a8eb759-8062-416c-9603-9516caea665b/A64214/player.htmlhttps://mymcps-instruction.mcpsmd.org/sites/ICResources/Lists/Resources/2a8eb759-8062-416c-9603-9516caea665b/A64214/player.htmlhttps://mymcps-instruction.mcpsmd.org/sites/ICResources/Lists/Resources/2a8eb759-8062-416c-9603-9516caea665b/A64214/player.html


13/19

DESCRIBEANGLEMEASURESASADDITIVEANDSOLVEPROBLEMSINVOLVINGANGLEMEASUREMENT Use pattern blocks to determine the angle

measures of the remaining blocks.

Record angle measures:


14/19

DESCRIBEANGLEMEASURESASADDITIVEANDSOLVEPROBLEMSINVOLVINGANGLEMEASUREMENT Answer:

Which pattern blocks are most useful indetermining the measures of the unknown anglesand why?

Which pattern blocks contained both acute andobtuse angles?

Which pattern blocks contained an angle largerthan 180 and how do you know?

Share and discuss strategies. Answer: How does thinking flexibly about

composing and decomposing help youdetermine the measures of unknown angles?


15/19

DESCRIBEANGLEMEASURESASADDITIVEANDSOLVEPROBLEMSINVOLVINGANGLEMEASUREMENT


16/19

RECOGNIZEANGLEMEASURESASADDITIVEANDSKETCHCOMPOSEDANGLESUSINGAPROTRACTOR Discuss: Using smaller angles, how could you

compose an angle that measures 90?

Thinking about angles additively can help you compose

and decompose angles to solve problems.


17/19

RECOGNIZEANGLEMEASURESASADDITIVEANDSKETCHCOMPOSEDANGLESUSINGAPROTRACTOR Determine which angles can be used to compose

larger angles based on the given criteria. Although

there is not a point marked, the vertex of each

angle is located at the intersection of the two rays.

Answer: Is there another solution?

What do you know about any two angles that composean acute angle?

What do you know about any two angles that compose

a straight angle? What strategies did you use to determine which angles

composed a 315 angle?

How did the protractor help you to determine the

composed angles?


18/19

RECOGNIZEANGLEMEASURESASADDITIVEANDSKETCHCOMPOSEDANGLESUSINGAPROTRACTOR


19/19

RECOGNIZEANGLEMEASURESASADDITIVEANDSKETCHCOMPOSEDANGLESUSINGAPROTRACTOR Watch: What is a 360?

Explore: BBC Angles Activity
http://www.pbslearningmedia.org/resource/vtl07.math.geometry.pla.whatis360/whats-a-360/http://www.bbc.co.uk/bitesize/ks3/maths/shape_space/angles/activity/http://www.bbc.co.uk/bitesize/ks3/maths/shape_space/angles/activity/http://www.pbslearningmedia.org/resource/vtl07.math.geometry.pla.whatis360/whats-a-360/

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Compacted Math Week 8