Public learning track
Circle Geometry: Compass Construction, Circumference, and Area
5th Grade · Math · Open Global Math
8 lessons
Goal
Identify circle parts, construct circles using a compass, understand pi as a geometric ratio, and calculate the circumference and area of circles and sectors.
Featured Diagrams
Parts of a Circle: Radius, Diameter, Chord, and Sector
8 lessons
0 of 8 done
- 1Parts of a Circle: Radius, Diameter, Chord, and SectorUp nextStart
- 2Drawing Precise Circles Using a CompassPremiumNot started yet
- 3Discovering Pi as the Ratio of Circumference to DiameterNot started yet
- 4Calculating Circumference Using C = πd and C = 2πrNot started yet
- 5Deriving Circle Area by Rearranging into a ParallelogramNot started yet
- 6Calculating the Area of Circles with Radius and DiameterNot started yet
- 7Finding Area and Perimeter of Semicircles and Quarter CirclesNot started yet
- 8Real-World Word Problems with CirclesNot started yet
Curriculum Framework
5th Grade · Math · Open Global Math
1
7 lessons
Geometric Primitives, Lines, and Polygon Hierarchies
Identify fundamental geometric elements, analyze line relationships, and classify two-dimensional figures into hierarchical subcategories.
2
8 lessons
Precision Angle Measurement and Angle Relationships
Measure, classify, and construct angles precisely, and solve for unknowns using adjacent, supplementary, complementary, and vertically opposite angle relationships.
3
8 lessons
Triangle Classification, Inequalities, and Angle Sums
Classify triangles across multiple dimensions, construct valid triangles, verify the triangle inequality theorem, and calculate missing interior angles.
4
8 lessons
Circle Geometry: Compass Construction, Circumference, and Area
Identify circle parts, construct circles using a compass, understand pi as a geometric ratio, and calculate the circumference and area of circles and sectors.
5
8 lessons
Perimeter, Area of Polygons, and Decomposition Strategies
Derive and apply area formulas for parallelograms, triangles, and trapezoids, analyze perimeter-area relationships, and calculate areas of composite and irregular figures.
6
7 lessons
Volume Foundations: Unit Cubes and Prism Formulas
Understand volume as 3D space measurement, pack prisms with unit cubes without gaps or overlaps, and apply V = l × w × h, V = s³, and V = B × h.
7
6 lessons
Additive Volume, Composite Solids, and Liquid Displacement
Calculate the volume of composite three-dimensional figures, determine missing dimensions, and measure irregular object volumes using liquid displacement.
8
6 lessons
Surface Area of Prisms, Pyramids, Cylinders, and Cones
Calculate total and lateral surface areas of three-dimensional solids using nets and area summation of polygonal and curved faces.
9
7 lessons
Three-Dimensional Nets, Edge Relationships, and Projections
Identify 3D solids from 2D representations, draw and validate geometric nets, evaluate edge-vertex relationships, and draw multi-view orthogonal projections.