ZNChloe
β–³ Geometry
Volume 3 of 8

Geometry

Shapes, Space, Measurement & Transformation

πŸ“š Grades 3–8 6 Units 30 Weeks 150 Lessons 🟒 Intermediate

The visual side of math. Geometry teaches you to reason about shapes, space, and measurement β€” from counting squares to find area in Grade 3, all the way to transformations, the Pythagorean Theorem, and coordinate geometry in Grade 8. Every architect, engineer, and artist uses it every day.

6

Units

30

Weeks

150

Lessons

Grades 3–8

Level

6

Unit Tests

What You Will Learn in Volume 3

πŸ”·

Shapes & Angles

πŸ“

Area & Perimeter

πŸ“¦

Volume & Surface Area

πŸ—ΊοΈ

Coordinate Geometry

πŸ”„

Transformations

πŸ“

Pythagorean Theorem

Geometry Across Grade Levels

G3

Grade 3

Multiplication Mastery

  • β€’ Area by counting squares
  • β€’ Area formula
  • β€’ Perimeter
  • β€’ Rectilinear figures
  • β€’ Real-world measurement
G4–5

Grades 4 & 5

Fractions & Decimals

  • β€’ Angles & angle measurement
  • β€’ Classifying shapes
  • β€’ Volume of rectangular prisms
  • β€’ Coordinate plane
  • β€’ Graphing ordered pairs
G6

Grade 6

Ratios & Algebra Foundations

  • β€’ Area of special figures
  • β€’ Surface area with nets
  • β€’ Volume of 3D solids
  • β€’ Coordinate plane (all 4 quadrants)
  • β€’ Polygons in the coordinate plane
G7

Grade 7

Proportional Reasoning

  • β€’ Scale drawings
  • β€’ Circles (circumference & area)
  • β€’ Composite figures
  • β€’ 3D cross-sections
  • β€’ Angle relationships
G8

Grade 8

Linear Functions & Pre-Algebra

  • β€’ Translations, rotations, reflections
  • β€’ Dilations & similarity
  • β€’ Congruence
  • β€’ Pythagorean Theorem
  • β€’ Distance in the coordinate plane

Geometry is the thread connecting all grades β€” shapes grow into formulas, formulas grow into proofs.

Volume 3 β€” Full Unit Breakdown

Click any unit to see all weekly topics and lessons

Week 1

2D Shapes

  • β€’ Polygons & non-polygons
  • β€’ Triangles (types)
  • β€’ Quadrilaterals
  • β€’ Pentagons & hexagons
  • β€’ Regular vs. irregular

Week 2

Lines & Line Segments

  • β€’ Points, lines, rays
  • β€’ Parallel lines
  • β€’ Perpendicular lines
  • β€’ Intersecting lines
  • β€’ Line segments in shapes

Week 3

Angles

  • β€’ What is an angle?
  • β€’ Acute, right, obtuse
  • β€’ Straight & reflex
  • β€’ Measuring with protractor
  • β€’ Drawing angles

Week 4

Angle Relationships

  • β€’ Complementary angles
  • β€’ Supplementary angles
  • β€’ Vertical angles
  • β€’ Adjacent angles
  • β€’ Angles in triangles

β˜… Week 5

Unit 1 Review & Test

  • β€’ Review shapes
  • β€’ Review lines
  • β€’ Review angles
  • β€’ Mixed practice
  • β€’ β˜… Unit 1 Test

Week 6

Perimeter

  • β€’ What is perimeter?
  • β€’ Perimeter of polygons
  • β€’ Perimeter of rectangles
  • β€’ Missing side lengths
  • β€’ Word problems

Week 7

Area of Rectangles

  • β€’ Counting square units
  • β€’ Area formula (l Γ— w)
  • β€’ Area with fractions
  • β€’ Area vs. perimeter
  • β€’ Rectilinear figures

Week 8

Area of Triangles

  • β€’ Base & height
  • β€’ Area formula (Β½bh)
  • β€’ Acute triangles
  • β€’ Obtuse triangles
  • β€’ Real-world problems

Week 9

Area of Special Figures

  • β€’ Parallelograms
  • β€’ Trapezoids
  • β€’ Composite figures
  • β€’ Irregular shapes
  • β€’ Area with coordinates

β˜… Week 10

Unit 2 Review & Test

  • β€’ Review perimeter
  • β€’ Review area formulas
  • β€’ Composite figures
  • β€’ Challenge problems
  • β€’ β˜… Unit 2 Test

Week 11

Circles

  • β€’ Radius & diameter
  • β€’ Understanding Ο€
  • β€’ Circumference
  • β€’ Area of a circle
  • β€’ Half & quarter circles

Week 12

3D Shapes

  • β€’ Prisms & pyramids
  • β€’ Cylinders, cones, spheres
  • β€’ Faces, edges, vertices
  • β€’ Cross-sections
  • β€’ Nets of 3D shapes

Week 13

Surface Area

  • β€’ Surface area with nets
  • β€’ Surface area of prisms
  • β€’ Surface area of pyramids
  • β€’ Surface area of cylinders
  • β€’ Real-world applications

Week 14

Volume

  • β€’ Volume of rectangular prisms
  • β€’ Volume of triangular prisms
  • β€’ Volume of cylinders
  • β€’ Composite 3D figures
  • β€’ Word problems

β˜… Week 15

Unit 3 Review & Test

  • β€’ Review circles
  • β€’ Review surface area
  • β€’ Review volume
  • β€’ Mixed 3D problems
  • β€’ β˜… Unit 3 Test

Week 16

The Coordinate Plane

  • β€’ x-axis & y-axis
  • β€’ All 4 quadrants
  • β€’ Plotting ordered pairs
  • β€’ Reading coordinates
  • β€’ Real-world maps

Week 17

Graphing Shapes

  • β€’ Plotting polygons
  • β€’ Finding side lengths
  • β€’ Perimeter on the plane
  • β€’ Area on the plane
  • β€’ Identifying shapes

Week 18

Distance & Midpoint

  • β€’ Distance between points
  • β€’ Horizontal distance
  • β€’ Vertical distance
  • β€’ Midpoint of a segment
  • β€’ Real-world distance

Week 19

Slope & Lines

  • β€’ Slope on the coordinate plane
  • β€’ Graphing linear equations
  • β€’ Parallel lines on a plane
  • β€’ Perpendicular lines
  • β€’ Geometric proofs

β˜… Week 20

Unit 4 Review & Test

  • β€’ Review coordinate plane
  • β€’ Review distance
  • β€’ Review slope & lines
  • β€’ Challenge problems
  • β€’ β˜… Unit 4 Test

Week 21

Translations

  • β€’ What is a transformation?
  • β€’ Sliding a shape
  • β€’ Translations on a grid
  • β€’ Writing translation rules
  • β€’ Real-world examples

Week 22

Reflections

  • β€’ Reflections over axes
  • β€’ Line of symmetry
  • β€’ Reflecting on a grid
  • β€’ Writing reflection rules
  • β€’ Symmetry in nature

Week 23

Rotations

  • β€’ Center of rotation
  • β€’ 90Β° / 180Β° / 270Β°
  • β€’ Clockwise & counter-CW
  • β€’ Rotational symmetry
  • β€’ Composing rotations

Week 24

Dilations & Similarity

  • β€’ Scale factor
  • β€’ Enlargements
  • β€’ Reductions
  • β€’ Similar figures
  • β€’ Congruent figures

β˜… Week 25

Unit 5 Review & Test

  • β€’ Review translations
  • β€’ Review reflections
  • β€’ Review rotations & dilations
  • β€’ Composite transformations
  • β€’ β˜… Unit 5 Test

Week 26

The Pythagorean Theorem

  • β€’ Right triangles
  • β€’ aΒ² + bΒ² = cΒ²
  • β€’ Finding hypotenuse
  • β€’ Finding a leg
  • β€’ Pythagorean triples

Week 27

Applying the Theorem

  • β€’ Distance on coordinate plane
  • β€’ Real-world right triangles
  • β€’ Diagonal of a rectangle
  • β€’ Height of a triangle
  • β€’ 3D applications

Week 28

Congruence & Proof

  • β€’ Congruent figures
  • β€’ SSS, SAS, ASA
  • β€’ Informal proofs
  • β€’ Triangle congruence
  • β€’ Applying congruence

Week 29

Geometry Review

  • β€’ Full volume review
  • β€’ Area & perimeter
  • β€’ Volume & surface area
  • β€’ Transformations
  • β€’ Pythagorean Theorem

β˜… Week 30

Year-End Assessment

  • β€’ Full year review
  • β€’ Test prep
  • β€’ Practice test
  • β€’ Review corrections
  • β€’ β˜… Year-End Test

Browse All 8 Volumes

Vol 1
Foundation Vol 2
Algebra Vol 3
Geometry Vol 4
Trig Vol 5
Calculus Vol 6
Problem Solving Vol 7
Statistics Vol 8
Advanced

Ready to Explore Geometry?

Visit the Classroom for video lessons or sharpen your skills in the Game Room. Ask ZNChloe any geometry question β€” shapes, area, the Pythagorean Theorem β€” anytime!

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