Volume and Surface Area
6 Units, 15 Skills
Geometry - Shape Classification (3D) - Intro
Unit 1
Geometry - Surface Area of 3D Shapes - Intro
Unit 2
Geometry - Volume of 3D Shapes - Intro
Unit 3
Geometry - Surface Area of 3D Shapes - Practice
Unit 4
Geometry - Cylinders - Intro
Unit 5
Geometry - Volume Logic with 3D Shapes - Intro
Unit 6
This math unit begins by developing students' foundational understanding of circle geometry, starting with calculating the area of a circle using its radius and the value of π, and finding the radius from the diameter. Students initially perform these calculations manually, learning to express results in terms of π. The unit progresses to more complex applications involving areas and circumferences of circles with and without calculators. Subsequently, the unit advances to three-dimensional shapes, specifically focusing on cylinders. Students learn to calculate the volume of cylinders using given dimensions and progress to more challenging problems such as determining missing dimensions (radius, height, or side) from the volume and other known measurements. Understanding the relationships between dimensions and applying these in formulas is emphasized, alongside the use of π in calculations. Towards the end of the unit, students explore the spatial reasoning involved in identifying and describing nets of three-dimensional shapes, expanding their geometric insight into how 2D shapes can represent 3D objects, thus rounding out their understanding of geometry from basic area calculations to complex three-dimensional analysis.
Skills you will learn include:
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Topic 10
Topic 11