Geometry Foundations

Geometry Foundations · Level 1

Digital Tools for Every Lesson

Free online tools that match each lesson in Level 1: Measure & Decompose. Use them alongside the book, or in place of physical rulers, protractors, cubes, and nets when you don't have them on hand.

Chapter 1Geometry Vocabulary & Angle Basics

  1. 1.1

    Points, Lines, Segments & Rays

    GeoGebra Geometry: point, line, ray, segment, and midpoint tools.

  2. 1.2

    Rays, Planes & Geometry Notation

    GeoGebra 3D Calculator: planes and a labeled box.

  3. 1.3

    Measuring & Drawing Angles

    Polypad protractor and ruler; GeoGebra angle tool.

  4. 1.4

    Classifying Angles

    GeoGebra angle tool (measure and sort angles).

  5. 1.5

    Parallel, Perpendicular & Intersecting Lines

    GeoGebra parallel and perpendicular line tools; 3D Calculator for skew lines.

  6. 1.6

    Classifying Triangles & Quadrilaterals

    Polypad geoboard; GeoGebra polygon tool.

Chapter 2Area of Polygons

  1. 2.1

    Area and Rectangles

    Polypad geoboard or square tiles.

  2. 2.2

    Area of Parallelograms

    GeoGebra applets that cut and slide a parallelogram; Polypad geoboard.

  3. 2.3

    Area of Triangles

    Polypad geoboard (triangles as half-rectangles).

  4. 2.4

    Area of Trapezoids, Rhombuses & Kites

    Polypad geoboard; GeoGebra trapezoid and kite applets.

  5. 2.5

    Area of Composite Figures

    Polypad geoboard and grid for composite figures.

  6. 2.6

    Area in the Real World

    Desmos calculator or a spreadsheet for cost problems.

Chapter 3Measurement & Unit Conversion

  1. 3.1

    Converting Units with Ratios

    Polypad number lines (as double number lines); online unit converter for checking.

  2. 3.2

    Square and Cubic Unit Conversions

    Polypad square tiles on a grid (1 ft² = 144 in²).

  3. 3.3

    Choosing Sensible Units and Precision

    Polypad ruler; photos of objects next to a ruler.

Chapter 4Nets & Surface Area

  1. 4.1

    Three-Dimensional Figures

    GeoGebra 3D Calculator: prisms and pyramids.

  2. 4.2

    Nets of Solid Figures

    GeoGebra nets applets (fold and unfold solids); Polypad polyhedra nets.

  3. 4.3

    Surface Area of Prisms

    GeoGebra 3D Calculator nets of prisms.

  4. 4.4

    Surface Area of Pyramids

    GeoGebra 3D Calculator nets of pyramids.

Chapter 5Volume of Rectangular Prisms

  1. 5.1

    Volume and Unit Cubes

    Polypad isometric cube drawings; NCTM Isometric Drawing Tool.

  2. 5.2

    Volume Formulas

    GeoGebra 3D Calculator boxes with sliders for length, width, and height.

  3. 5.3

    Volume with Fractional Edges

    Polypad isometric cubes scaled to ½-unit edges.

  4. 5.4

    Volume in the Real World

    Desmos calculator for multi-step problems.

Chapter 6The Coordinate Plane

  1. 6.1

    The Coordinate Plane

    Desmos graphing calculator (plot points); GeoGebra Graphing.

  2. 6.2

    Reflections Across the Axes

    Desmos or GeoGebra reflection tools.

  3. 6.3

    Distance Between Points

    Desmos (plot points and count distances).

  4. 6.4

    Polygons on the Coordinate Plane

    Desmos Geometry or GeoGebra polygon tool on a grid.

  5. 6.5

    Area on the Coordinate Plane

    Desmos Geometry or GeoGebra polygon and area tools.

All tools listed are free to use online at the time of publication; some offer optional accounts. Ask your district or school about approval before student use. Links open in a new tab.