Bluebonnet Learning Geometry (2026) Gizmos | Browse by Core Curriculum

1: Reasoning with Shapes

1.1: Geometry Reasoning

1.1.1: Points, Lines, Planes, Rays, and Line Segments

1.1.2: Formal Reasoning in Euclidean Geometry

1.2: Using a Rectangular Coordinate System

1.2.1: Constructing a Coordinate Plane

1.2.2: Parallel and Perpendicular Lines

1.2.3: Classifying Quadrilaterals on the Coordinate Plane

1.2.4: Classifying Triangles on the Coordinate Plane

1.2.5: Area and Perimeter on the Coordinate Plane

1.3: Sequences of Rigid Motions

1.3.1: Translations On and Off the Coordinate Plane

1.3.3: Reflections On and Off the Coordinate Plane

1.3.4: Rotations On and Off the Coordinate Plane

1.3.5: Compositions of Functions

1.4: Congruence Through Transformations

1.4.1: Reflectional and Rotational Symmetry

1.4.2: Proving Triangle Congruence Theorems

2: Justifying Mathematical Ideas and Arguments

2.1: Composing and Decomposing Shapes

2.1.1: Using Circles to Make Conjectures

2.1.2: Conjectures About Quadrilaterals

2.1.3: Constructing an Inscribed Regular Polygon

2.1.4: Conjectures About Triangles

2.1.5: Points of Concurrency

2.2: Justifying Line and Angle Relationships

2.2.1: Forms of Proof

2.2.3: Interior and Exterior Angles of Polygons

2.2.4: Perpendicular Bisector and Isosceles Triangle Theorems

2.2.6: Angle Relationships Inside and Outside Circles

2.3: Using Congruence Theorems

2.3.1: Using Triangle Congruence to Determine Relationships Between Segments

2.3.3: Properties of Quadrilaterals

3: Investigating Proportionality

3.1: Similarity

3.1.1: Dilating Figures to Create Similar Figures

3.1.3: Theorems About Proportionality

3.1.4: More Similar Triangles

3.1.5: Application of Similar Triangles

3.2: Trigonometry

3.2.1: Introduction to Trigonometry

3.2.2: Tangent Ratio and Inverse Tangent

3.2.3: Exploring Sine and Cosine Ratios

3.2.4: Complement Angle Relationships

4: Connecting Geometric and Algebraic Descriptions

4.1: Circles

4.1.2: Similarity Relationships in Circles

4.1.4: Deriving the Equation of a Circle

4.1.5: Determining Points on a Circle

4.2: Building Three-Dimensional Shapes

4.2.1: Building Three-Dimensional Figures

4.2.3: Building Volume Formulas for Pyramids, Cones, and Spheres

4.2.4: Building Lateral and Surface Area Formulas for Pyramids, Cones, and Spheres

5: Making Informed Decisions

5.1: Independence and Conditional Probability

5.1.1: Compound Sample Space

5.1.2: Compound Probability with And

5.1.4: Calculating Compound Probability

5.2: Computing Probabilities

5.2.2: Conditional Probability

5.2.3: Permutations and Combinations

5.2.4: Independent Trials

5.2.5: Expected Value