Worksheet directions

Grade 6 • Guided Practice • Work with your teacher or a partner. Discuss the model or strategy, then complete each problem.

Sample questions

1. Sketch a second congruent copy of this triangle to form a parallelogram. Explain how this gives the triangle’s area.
2. A triangle has base 7 cm and perpendicular height 4 cm. Sketch two congruent copies forming a parallelogram and explain the area formula.
3. A student reports 40 cm² for a triangle with base 8 cm and height 5 cm. Explain the missing step and correct the area.
4. A right-triangular sign has perpendicular sides 13 cm and 6 cm. Two identical signs are cut from a sheet. Find their combined area and explain why you can use a rectangle or parallelogram to check.
5. The side lengths of this rectangle are measured in centimeters. Find its area. Explain what the square units count and how the two side lengths are used.
6. Measurements are in centimeters. Find the triangle’s area and explain why the dashed perpendicular segment is used as the height.

See the preview for diagrams, answer spaces, and the complete layout.

Common Core connections

Source labels: 4.MD.A.3, prerequisite for 6.G.A.1, 6.G.A.1. Review the learning goals below to check the fit for your class.

• 4.MD.A.3 — Area and perimeter formulas
• 6.G.A.1 — Area of triangles and polygons

Bring it into your lesson

Review the preview and question content above. Open the resource in Sparkclass to copy it to your Files and use it in your workspace. Check the resulting layout before sharing it with students.