Use Perpendicular Height for Triangle and Parallelogram Area
Identify the stated base and perpendicular height.
About 25 minutes, plus any extended practice
Open lesson 1Solve Geometry with Areas, Volumes, Nets, and Coordinates
Use perpendicular heights, fractional prism lengths, surface-area nets, and coordinate polygons.
Before you begin
- Calculate rectangle area and whole-number prism volume; plot signed coordinates.
Choose by skill rather than age alone. Read with an adult when useful, revisit a lesson, or explore another grade.
Follow the lesson sequence
Calculate Prism Volume with Fractional Edge Lengths
Rename mixed lengths as fractions if needed, multiply all three dimensions, and simplify.
About 25 minutes, plus any extended practice
Open lesson 2Find Surface Area from Every Face in a Net
Use the supplied rectangular-prism edge lengths to list all face areas.
About 25 minutes, plus any extended practice
Open lesson 3Find Axis-Aligned Polygon Sides from Coordinates
Plot the supplied vertices in order and identify the requested side’s shared coordinate.
About 25 minutes, plus any extended practice
Open lesson 4Review and transfer
After the lessons, try 4 new review cases and a practical task. Each answer has an explanation and a link back to the related lesson.
Open the unit reviewGuest answers are temporary. Keep your own paper or document; this unit does not certify completion or record a school grade.
Topic references
- Common Core State Standards, mathematics: 6.G.A.1 — Use perpendicular heights, fractional prism lengths, surface-area nets, and coordinate polygons.
- Common Core State Standards, mathematics: 6.G.A.2 — Use perpendicular heights, fractional prism lengths, surface-area nets, and coordinate polygons.
- Common Core State Standards, mathematics: 6.G.A.3 — Use perpendicular heights, fractional prism lengths, surface-area nets, and coordinate polygons.
- Common Core State Standards, mathematics: 6.G.A.4 — Use perpendicular heights, fractional prism lengths, surface-area nets, and coordinate polygons.
These references informed the topic selection. They do not certify complete standards alignment.