Florida B.E.S.T. MA.912.GR.5

MA.912.GR.5 is a B.E.S.T. standard. These are the benchmarks under it.

• MA.912.GR.5.1

  Construct a copy of a segment or an angle.

• MA.912.GR.5.2

  Construct the bisector of a segment or an angle, including the perpendicular bisector of a line segment.

• MA.912.GR.5.3

  Construct the inscribed and circumscribed circles of a triangle.

• MA.912.GR.5.4

  Construct a regular polygon inscribed in a circle. Regular polygons are limited to triangles, quadrilaterals and hexagons.

• MA.912.GR.5.5

  Given a point outside a circle, construct a line tangent to the circle that passes through the given point.

01

What Students Need to Do

Students use tools such as a compass, straightedge, paper folding, or geometry software to create exact lines, angles, and points. They follow a valid sequence of steps and justify why the finished figure has the required properties.

02

What Mastery Looks Like

Students complete an accurate construction, keep needed arcs and marks visible, and label the result correctly. They can explain why the method works and verify the result using measurements or geometric facts.

03

Common Misconceptions

Students often measure or draw by eye instead of using construction marks. They may change the compass width accidentally or confuse an angle bisector with a perpendicular bisector. Some trust the picture without checking equal lengths, equal angles, or right angles.

04

How to Assess It

Give students a segment AB and ask: “Using only a compass and unmarked straightedge, construct its perpendicular bisector and label midpoint M.” Require visible arcs and one sentence explaining why M is the midpoint.

1. 01

   Give students compasses, straightedges, and triangle cards to construct all three perpendicular bisectors and locate each triangle’s circumcenter.

2. 02

   Ask students to compare two angle bisector methods and write why each creates two equal angles.

3. 03

   Run a construction card challenge with tasks such as copying an angle, bisecting a segment, and drawing a parallel line.

4. 04

   Use a neighborhood map to construct a location equally distant from three schools, then explain what the intersection represents.

• MA.912.GR.4

  Use geometric measurement and dimensions to solve problems.

• MA.6.GR.2

  Model and solve problems involving two-dimensional figures and three-dimensional figures.

• MA.7.GR.1.5

  Solve mathematical and real-world problems involving dimensions and areas of geometric figures, including scale drawings and scale factors.

• MA.912.GR.1

  Prove and apply geometric theorems to solve problems.