What's Your Angle?

Devise procedures for using a protractor to measure the number of degrees in an angle, and use inductive reasoning to develop "angle sense." Describe circumstances and careers that require a working knowledge of angles and their measurements. Students make estimates of various angles. They also use inductive reasoning skills to construct their own method for effectively using the protractor to measure angles.

Standards & Objectives

Academic standards
CCSS.Math.Content.6.SP.A.1
Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For...
CCSS.Math.Content.6.SP.B.5
Summarize numerical data sets in relation to their context, such as by:
CCSS.Math.Content.7.SP.A.1
Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a...
CCSS.Math.Content.7.SP.A.2
Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or...
GLE 0606.1.6
Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely.
GLE 0606.4.1
Understand and use basic properties of triangles, quadrilaterals, and other polygons.
GLE 0606.5.2
Interpret representations of data from surveys and polls, and describe sample bias and how data representations can be misleading.
GLE 0706.5.1
Collect, organize, and analyze both single- and two-variable data.
SPI 0606.1.1
Make conjectures and predictions based on data.
SPI 0606.5.3
Determine whether or not a sample is biased.
TSS.Math.6.SP.A.1
Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example,...
TSS.Math.6.SP.B.5
Summarize numerical data sets in relation to their context.
TSS.Math.7.SP.A.1
Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population...
TSS.Math.7.SP.A.2
Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated...
 
Alignment of this item to academic standards is based on recommendations from content creators, resource curators, and visitors to this website. It is the responsibility of each educator to verify that the materials are appropriate for your content area, aligned to current academic standards, and will be beneficial to your specific students.
 
Learning objectives: 

Objective

Using inductive reasoning, students will devise procedures for using a protractor to measure the number of degrees in an angle.

Lesson Variations

Blooms taxonomy level: 
Understanding
Differentiation suggestions: 

Extensions & Connections

  • Give students graph paper and have them draw a rectangle. Have them draw the two diagonals. Label the two triangles formed, and measure the angles of each triangle with a protractor. Have students look for patterns.
  • Have students draw any two straight lines that intersect. Measure the four angles formed. Have them write their observations.

Helpful Hints

Materials

Each Group:

  • Angle wheel
  • Hinged Mirror
  • Protractor
  • Angle Measurement Activity Sheet

Teacher:

  • Large demonstration angle wheel

References

Contributors: