Florida B.E.S.T. MA.912.GR.4

MA.912.GR.4 is a B.E.S.T. standard. These are the benchmarks under it.

• MA.912.GR.4.1

  Identify the shapes of two-dimensional cross-sections of three-dimensional figures.

• MA.912.GR.4.2

  Identify three-dimensional objects generated by rotations of two-dimensional figures.

• MA.912.GR.4.3

  Extend previous understanding of scale drawings and scale factors to determine how dilations affect the area of two-dimensional figures and the surface area or ...

• MA.912.GR.4.4

  Solve mathematical and real-world problems involving the area of two-dimensional figures.

• MA.912.GR.4.5

  Solve mathematical and real-world problems involving the volume of three-dimensional figures limited to cylinders, pyramids, prisms, cones and spheres.

• MA.912.GR.4.6

  Solve mathematical and real-world problems involving the surface area of three-dimensional figures limited to cylinders, pyramids, prisms, cones and spheres.

01

What Students Need to Do

Students use lengths, angles, areas, surface areas, and volumes to answer geometric questions. They find missing dimensions, convert units, and report answers with suitable precision.

02

What Mastery Looks Like

Students can select the correct measurements and formulas from a diagram or real object. They solve multistep problems, label units correctly, and check whether answers are reasonable.

03

Common Misconceptions

Students often confuse perimeter, area, surface area, and volume. They may use diameter instead of radius, use slant height incorrectly, or omit squared and cubed units.

04

How to Assess It

Give this exit ticket: An open-top box measures 1.2 m by 0.8 m by 0.5 m. Find its surface area and capacity in liters.

1. 01

   Have pairs measure a cereal box, sketch it, then calculate its surface area and volume using their measurements.

2. 02

   Ask students to explain what happens to area and volume when every dimension of a rectangular prism doubles.

3. 03

   Run a card sort matching diagrams, measurement questions, formulas, and units such as centimeters, square centimeters, and cubic centimeters.

4. 04

   Give students a room plan and store prices, then have them calculate the cost of flooring, baseboard, and paint.

• MA.4.M.1

  Measure the length of objects and solve problems involving measurement.

• MA.3.M.1

  Measure attributes of objects and solve problems involving measurement.

• 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.