🔢 MathGrade 4Lesson 35
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Geometry and Data Challenge

Lesson preview: the Mini Lesson and Vocabulary are open to everyone. Guided practice, exercises, the parent checklist and the printable PDF worksheet come with full access (free 7-day trial or membership).

Learning Objectives

  • 1Review polygon classification, area, perimeter, and volume
  • 2Apply angle, symmetry, and coordinate grid knowledge
  • 3Interpret metric unit conversions in context
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Mini Lesson

This challenge reviews Unit 4: polygons, area, perimeter, volume, angles, maps and grids, metric units, and symmetry. Use all of the skills you have practiced to show your geometry knowledge.

Key Formulas

  • Perimeter of a rectangle: P = 2(l + w)
  • Area of a rectangle: A = l x w
  • Volume of a rectangular prism: V = l x w x h

Angle Types

  • Acute angle: less than 90 degrees
  • Right angle: exactly 90 degrees
  • Obtuse angle: between 90 degrees and 180 degrees
  • Straight angle: exactly 180 degrees

Coordinate Grids and Metric Units

  • Coordinates: always read the x-axis (across) before the y-axis (up). The origin is (0, 0).
  • Metric length: 1 km = 1000 m, 1 m = 100 cm, 1 cm = 10 mm.
  • Symmetry: a shape has a line of symmetry if one half is the mirror image of the other half.
Geometry Formulas SummaryGeometry Formulas SummaryPerimeterP = 2(l+w)l=6, w=4P = 20 mAreaA = l x wl=6, w=4A = 24 m2VolumeV=lxwxh3x4x5V = 60 m3Polygon Quick Reference3 — Triangle4 — Quadrilateral5 — Pentagon6 — Hexagon7 — Heptagon8 — OctagonSquare: 4 lines of symmetry
Angle Types and Coordinate GridAngles and CoordinatesAngle TypesAcute< 90 degRight= 90 degObtuse90-180 degStraight= 180 degReflex> 180 degCoordinate Grid012341234(3,2)xyRead x (across), then y (up).Origin = (0, 0).
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Tip: to check symmetry, fold the shape in your mind — if both sides match exactly, it is symmetrical.

Vocabulary
perimeter
The total distance around the outside of a shape.e.g. A rectangle 5 cm by 3 cm has perimeter 16 cm.
area
The amount of surface a flat shape covers, measured in square units.e.g. Area of a 5 × 3 rectangle is 15 sq cm.
volume
The amount of space a 3D solid takes up, measured in cubic units.e.g. A cube 2 cm on each side has volume 8 cubic cm.
polygon
A closed flat shape made of straight sides.e.g. A pentagon is a polygon with 5 sides.
coordinates
A pair of numbers (x, y) that locate a point on a grid.e.g. The point (3, 2) is 3 across and 2 up from the origin.
origin
The point (0, 0) where the x-axis and y-axis meet.e.g. On a coordinate grid, the origin is at the center crossing.
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