Skip to content

Geometry Course - Diagram and MicroSim Details

Total Visual Elements: 99 Diagrams: 64 MicroSims: 33

Chapter 1: Foundations Of Geometry

Total elements: 5

Collinear and Coplanar Points

  • Status: Done
  • Type: Diagram
  • Bloom's Taxonomy: Analyzing
  • UI Elements: 7
  • Difficulty: Medium
  • Learning Objective: Students will analyze point arrangements to determine whether sets of points are collinear or coplanar. (Bloom's Taxonomy: Analyzing)...

Concept Map of Chapter 1

  • Type: Unknown
  • Bloom's Taxonomy: Remembering, Evaluating
  • UI Elements: 2
  • Difficulty: Easy
  • Learning Objective: Students will evaluate their understanding of the chapter by exploring connections between concepts and remember key definitions and relations...

Line Relationships in 3D

  • Type: Diagram
  • Bloom's Taxonomy: Understanding
  • UI Elements: 0
  • Difficulty: Medium
  • Learning Objective: Students will understand the differences between parallel, perpendicular, and skew line relationships, especially in three-dimensional space. (Blo...

Point Line and Plane

  • Status: Done
  • Type: Microsim
  • Bloom's Taxonomy: Remembering, Understanding
  • UI Elements: 7
  • Difficulty: Hard
  • Learning Objective: Students will remember the three undefined terms of geometry (point, line, plane) and understand their visual representations and basic proper...

Rays and Segments

  • Type: Diagram
  • Bloom's Taxonomy: Understanding
  • UI Elements: 4
  • Difficulty: Medium
  • Learning Objective: Students will understand the differences between rays and line segments by comparing their visual representations and properties. (Bloom's Taxonom...

Chapter 2: Logic And Proof

Total elements: 6

Conditional Statement Structure

  • Type: Diagram
  • Bloom's Taxonomy: Understanding
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will be able to identify the hypothesis and conclusion in conditional statements (Bloom's Taxonomy: Understanding)...

Coordinate Proof Setup for Rectangle Diagonals

  • Type: Diagram
  • Bloom's Taxonomy: Applying
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will be able to apply coordinate geometry formulas to prove geometric properties algebraically (Bloom's Taxonomy: Applying)...

Flow Chart Proof Example

  • Type: Diagram
  • Bloom's Taxonomy: Analyzing
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will be able to interpret and create flow chart proofs showing logical dependencies between statements (Bloom's Taxonomy: Analyzing)...
  • Type: Diagram
  • Bloom's Taxonomy: Analyzing
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will be able to construct the converse, inverse, and contrapositive of a conditional statement and understand their logical relationships (**...
  • Type: Diagram
  • Bloom's Taxonomy: Remembering
  • UI Elements: 9
  • Difficulty: Medium
  • Learning Objective: Students will be able to recognize and recall fundamental geometric postulates and their visual representations (Bloom's Taxonomy: Remembering)...

The Anatomy of a Proof

  • Type: Diagram
  • Bloom's Taxonomy: Understanding
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will be able to identify the essential components of a geometric proof (Bloom's Taxonomy: Understanding)...

Chapter 3: Angles And Relationships

Total elements: 10

Adjacent vs. Non-Adjacent Angles

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will identify adjacent angles by checking for common vertex and common side (Bloom's: Understanding and Analyzing)...

Angle Bisector Construction

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will identify angle bisectors and calculate angle measures using the bisector property (Bloom's: Applying)...

Angle Parts and Notation

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 1
  • Difficulty: Medium
  • Learning Objective: Students will identify and label the vertex and sides of an angle (Bloom's: Remembering)...

Chapter Concept Map

  • Type: Unknown
  • Bloom's Taxonomy: Not specified
  • UI Elements: 1
  • Difficulty: Easy
  • Learning Objective: Students will understand the hierarchical and interconnected nature of angle concepts (Bloom's: Analyzing and Evaluating)...

Complementary Angles Visual

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Medium
  • Learning Objective: Students will identify complementary angles and calculate missing angle measures (Bloom's: Applying)...

Linear Pair Structure

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will recognize linear pairs and use the linear pair property to find unknown angles (Bloom's: Understanding and Applying)...

Parallel Lines Cut by a Transversal Setup

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will identify the eight angles formed when a transversal intersects parallel lines (Bloom's: Remembering and Understanding)...

Right Angle in Real-World Contexts

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 6
  • Difficulty: Easy
  • Learning Objective: Students will recognize right angles in everyday contexts (Bloom's: Applying)...

Summary of Angle Relationships with Parallel Lines

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 6
  • Difficulty: Medium
  • Learning Objective: Students will categorize angle pairs by their relationships and properties (Bloom's: Understanding and Remembering)...

Vertical Angles at Intersection

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will identify vertical angles and apply the vertical angles theorem (Bloom's: Understanding and Applying)...

Chapter 4: Geometric Constructions

Total elements: 8

Bisecting a Segment - Complete Construction

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Easy
  • Learning Objective: Students will construct a segment bisector and understand why the construction creates a perpendicular bisector at the midpoint (Bloom's: Applying...

Bisecting an Angle - Sequential Steps

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 6
  • Difficulty: Easy
  • Learning Objective: Students will construct an angle bisector and understand how the construction creates two congruent angles (Bloom's: Applying and *Understanding...

Constructing Parallel Lines Using Corresponding Angles

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Medium
  • Learning Objective: Students will construct parallel lines using angle copying and understand why corresponding angles create parallel lines (Bloom's: Applying and **...

Construction Techniques Reference Chart

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 16
  • Difficulty: Medium
  • Learning Objective: Students will identify and select the appropriate construction technique for a given geometric task (Bloom's: Remembering, Understanding, and ...

Copying a Segment - All Steps Shown

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Medium
  • Learning Objective: Students will follow the sequential steps of segment copying and identify the role of each step (Bloom's: Understanding and Applying)...

Parts of a Compass and Basic Circle Construction

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 3
  • Difficulty: Easy
  • Learning Objective: Students will identify the parts of a compass and understand how circles are constructed (Bloom's: Remembering and Understanding)...

Straightedge vs. Ruler

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 3
  • Difficulty: Easy
  • Learning Objective: Students will understand the difference between a straightedge and a ruler, and why constructions use straightedges (Bloom's: Understanding and **...

Two Types of Perpendicular Constructions

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Medium
  • Learning Objective: Students will distinguish between the two perpendicular construction methods and apply the appropriate one based on point location (Bloom's: **Underst...

Chapter 5: Coordinate Geometry

Total elements: 7

Distance Formula Visualization

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 4
  • Difficulty: Easy
  • Learning Objective: Students will understand how the Distance Formula derives from the Pythagorean theorem and apply it to find distances (Bloom's: Understanding and ...

Four Types of Slope

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 6
  • Difficulty: Medium
  • Learning Objective: Students will classify lines by slope type and interpret slope values (Bloom's: Understanding and Analyzing)...

Midpoint Formula Visualization

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 4
  • Difficulty: Medium
  • Learning Objective: Students will calculate midpoints and understand the averaging concept (Bloom's: Understanding and Applying)...

Parallel Lines in the Coordinate Plane

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 2
  • Difficulty: Easy
  • Learning Objective: Students will identify parallel lines by equal slopes and write equations of parallel lines (Bloom's: Understanding and Applying)...

Perpendicular Lines with Negative Reciprocal Slopes

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will identify perpendicular lines by negative reciprocal slopes and calculate perpendicular slopes (Bloom's: Understanding, Applying,...

Slope-Intercept Form Visualization

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Medium
  • Learning Objective: Students will identify slope and y-intercept from equations and graph lines in slope-intercept form (Bloom's: Understanding and Applying)...

The Coordinate Plane and Quadrants

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will identify the parts of the coordinate plane and locate points using ordered pairs (Bloom's: Remembering and Understanding)...

Chapter 6: Transformations Congruence

Total elements: 8

Congruent Triangles with Corresponding Parts

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 1
  • Difficulty: Easy
  • Learning Objective: Students will identify corresponding parts of congruent figures and apply CPCTC (Bloom's: Understanding, Applying, and Analyzing)...

Dilations with Different Scale Factors

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will perform dilations and understand how scale factor affects size (Bloom's: Understanding, Applying, and Analyzing)...

Pre-Image and Image Notation

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will identify pre-images and images using proper notation (Bloom's: Remembering and Understanding)...

Reflections Over Different Lines

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will perform reflections over coordinate axes and understand perpendicular distance preservation (Bloom's: Understanding and Applying...

Rigid Motion Summary

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Medium
  • Learning Objective: Students will classify transformations as rigid motions and explain why dilations are not rigid (Bloom's: Understanding, Analyzing, and **Eval...

Rotation Around Origin

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will perform rotations around the origin and understand angle of rotation (Bloom's: Understanding and Applying)...

Translation Examples

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will perform translations and identify translation vectors (Bloom's: Understanding and Applying)...

Triangle Congruence Criteria

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 9
  • Difficulty: Medium
  • Learning Objective: Students will identify which congruence criterion applies to a pair of triangles and determine if triangles are congruent (Bloom's: Understanding,...

Chapter 7: Triangle Congruence

Total elements: 10

All Five Congruence Criteria Reference

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 7
  • Difficulty: Medium
  • Learning Objective: Students will identify which congruence criterion applies in various situations and distinguish between valid and invalid criteria (Bloom's: **Remembe...

Exterior Angle Theorem Visualization

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will identify exterior angles, remote interior angles, and apply the Exterior Angle Theorem (Bloom's: Understanding and Applying)...

Four Special Segments and Their Concurrent Points

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Medium
  • Learning Objective: Students will identify medians, altitudes, perpendicular bisectors, and angle bisectors, and locate their points of concurrency (Bloom's: **Understand...

Hinge Theorem Visualization

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will understand the relationship between included angle size and opposite side length using the Hinge Theorem (Bloom's: Understanding, **...

Isosceles Triangle Properties

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will identify base angles in isosceles triangles and apply the Base Angles Theorem (Bloom's: Understanding and Applying)...

SAS Congruence with Included Angle

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will identify the included angle and apply SAS congruence correctly (Bloom's: Understanding, Applying, and Analyzing)...

SSS Congruence Visualization

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 6
  • Difficulty: Easy
  • Learning Objective: Students will understand that three congruent sides uniquely determine a triangle and prove congruence (Bloom's: Understanding and Applying)...

Triangle Classification by Angles

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will identify and classify triangles as acute, right, or obtuse based on angle measures (Bloom's: Remembering and Understanding)...

Triangle Classification by Sides

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will identify and classify triangles as scalene, isosceles, or equilateral based on side lengths (Bloom's: Remembering and **Understandin...

Triangle Sum Theorem Proof Visualization

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will understand why triangle angles sum to 180° through a visual proof involving parallel lines (Bloom's: Understanding and Analyzing...

Chapter 8: Triangle Centers

Total elements: 9

All Four Centers in One Triangle

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 1
  • Difficulty: Medium
  • Learning Objective: Students will analyze the spatial relationships among all four triangle centers simultaneously (Bloom's: Analyzing)...

Equilateral Triangle with Coinciding Centers

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will understand the special case where all four triangle centers coincide in an equilateral triangle (Bloom's: Understanding)...

Orthocenter Location in Different Triangle Types

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 5
  • Difficulty: Medium
  • Learning Objective: Students will analyze how the orthocenter's position changes based on triangle type (Bloom's: Analyzing)...

The Euler Line

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will understand the collinear relationship between three triangle centers and apply the distance ratio property (Bloom's: Understanding/Apply...

The Nine-Point Circle

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will analyze the nine-point circle and identify the nine special points it passes through (Bloom's: Analyzing)...

Triangle with Angle Bisectors and Incenter

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will identify angle bisectors and understand how they intersect at the incenter to form the incircle (Bloom's: Understanding)...

Triangle with Perpendicular Bisectors and Circumcenter

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will understand how perpendicular bisectors intersect at the circumcenter and identify the circumcircle (Bloom's: Understanding)...

Triangle with Three Altitudes and Orthocenter

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will identify altitudes in a triangle and recognize how they intersect at the orthocenter (Bloom's: Understanding)...

Triangle with Three Medians and Centroid

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will be able to identify medians in a triangle and locate the centroid (Bloom's: Understanding)...

Chapter 9: Polygons Quadrilaterals

Total elements: 6

Interior and Exterior Angle Relationship

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will analyze the supplementary relationship between interior and exterior angles (Bloom's: Analyzing)...

Kite Properties Illustration

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will understand the distinctive properties of kites, particularly the perpendicular diagonals and consecutive equal sides (Bloom's: **Underst...

Quadrilateral Family Hierarchy

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will understand the classification hierarchy and inheritance of properties among quadrilaterals (Bloom's: Understanding)...

Regular Polygon Explorer

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will identify and classify polygons by their number of sides (Bloom's: Remembering)...

The Three Regular Tessellations

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 12
  • Difficulty: Medium
  • Learning Objective: Students will apply angle sum formulas to explain why only three regular polygons tessellate the plane (Bloom's: Applying)...

Venn Diagram of Rectangle, Rhombus, and Square

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will analyze the relationship between rectangles, rhombi, and squares as overlapping sets (Bloom's: Analyzing)...

Chapter 10: Similarity Trigonometry

Total elements: 6

AA Similarity Proof

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Medium

Altitude to Hypotenuse

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy

Angles of Elevation and Depression

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy

Side-Splitter Theorem

  • Type: Diagram
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Easy

Similar Triangles Comparison

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Medium

Trigonometric Ratios Visualization

  • Type: Microsim
  • Bloom's Taxonomy: Not specified
  • UI Elements: 0
  • Difficulty: Medium

Chapter 11: Circles

Total elements: 16

Angle Relationships in Circles

  • Type: Microsim
  • Bloom's Taxonomy: Evaluating
  • UI Elements: 14
  • Difficulty: Hard
  • Learning Objective: Students will evaluate angle measures using theorems for angles formed by chords, tangents, and secants. Bloom's Taxonomy Level: Evaluating - ...

Arc Length and Sector Area Calculator

  • Type: Microsim
  • Bloom's Taxonomy: Applying
  • UI Elements: 10
  • Difficulty: Hard
  • Learning Objective: Students will apply formulas for arc length and sector area to calculate measurements for various central angles and radii. **Bloom's Taxonomy Lev...

Arc Types

  • Type: Microsim
  • Bloom's Taxonomy: Understanding
  • UI Elements: 8
  • Difficulty: Medium
  • Learning Objective: Students will classify arcs as minor, major, or semicircles based on their degree measure. Bloom's Taxonomy Level: Understanding - Classifying...

Central and Inscribed Angles

  • Type: Microsim
  • Bloom's Taxonomy: Analyzing
  • UI Elements: 10
  • Difficulty: Very Hard
  • Learning Objective: Students will analyze the relationship between central and inscribed angles that intercept the same arc, discovering that the inscribed angle measures...

Chords in a Circle

  • Type: Microsim
  • Bloom's Taxonomy: Understanding
  • UI Elements: 8
  • Difficulty: Hard
  • Learning Objective: Students will distinguish between different types of chords and recognize that the diameter is the longest chord. Bloom's Taxonomy Level: Unde...

Circle Equation Interactive Grapher

  • Type: Microsim
  • Bloom's Taxonomy: Creating
  • UI Elements: 10
  • Difficulty: Very Hard
  • Learning Objective: Students will create the equation of a circle given its center and radius, and verify points lie on the circle by testing the equation. **Bloom's ...

Circle Segment Visualization

  • Type: Microsim
  • Bloom's Taxonomy: Analyzing
  • UI Elements: 0
  • Difficulty: Medium
  • Learning Objective: Students will differentiate between sectors and segments of a circle by analyzing their boundaries and components. Bloom's Taxonomy Level: Ana...

Circle-Circle Intersection Cases

  • Type: Microsim
  • Bloom's Taxonomy: Evaluating
  • UI Elements: 10
  • Difficulty: Hard
  • Learning Objective: Students will evaluate different configurations of two circles to determine intersection count based on center distance and radii. **Bloom's Taxon...

Completing the Square for Circles

  • Type: Microsim
  • Bloom's Taxonomy: Applying
  • UI Elements: 11
  • Difficulty: Hard
  • Learning Objective: Students will apply the completing-the-square method to convert circle equations from general form to standard form. Bloom's Taxonomy Level: A...

Inscribed Quadrilateral Angle Sums

  • Type: Microsim
  • Bloom's Taxonomy: Analyzing
  • UI Elements: 10
  • Difficulty: Hard
  • Learning Objective: Students will verify that opposite angles in an inscribed quadrilateral are supplementary by manipulating the quadrilateral and observing angle sums. ...

Inscribed and Circumscribed Polygons

  • Type: Microsim
  • Bloom's Taxonomy: Understanding
  • UI Elements: 9
  • Difficulty: Hard
  • Learning Objective: Students will distinguish between inscribed polygons (vertices on circle) and circumscribed polygons (sides tangent to circle) through interactive vis...

Line-Circle Intersection Cases

  • Type: Microsim
  • Bloom's Taxonomy: Analyzing
  • UI Elements: 10
  • Difficulty: Hard
  • Learning Objective: Students will analyze line-circle intersection scenarios to determine the number of intersection points based on geometric configuration. **Bloom'...

Parts of a Circle

  • Type: Microsim
  • Bloom's Taxonomy: Remembering
  • UI Elements: 6
  • Difficulty: Hard
  • Learning Objective: Students will identify and label the basic components of a circle (center, radius, diameter) by interacting with a visual representation. **Bloom'...

Power of a Point Visualization

  • Type: Microsim
  • Bloom's Taxonomy: Evaluating
  • UI Elements: 11
  • Difficulty: Very Hard
  • Learning Objective: Students will verify the power of a point theorem by observing that segment products remain equal as geometric configurations change. **Bloom's Ta...

Rolling Wheel Arc Length Application

  • Type: Microsim
  • Bloom's Taxonomy: Applying
  • UI Elements: 10
  • Difficulty: Hard
  • Learning Objective: Students will apply the relationship between arc length and distance traveled by a rolling wheel to solve real-world motion problems. **Bloom's Ta...

Secants and Tangents

  • Type: Microsim
  • Bloom's Taxonomy: Applying
  • UI Elements: 8
  • Difficulty: Hard
  • Learning Objective: Students will differentiate between secants and tangents and verify that a tangent is perpendicular to the radius at the point of tangency. **Bloo...

Chapter 12: Area Volume Applications

Total elements: 8

Area Formulas for Quadrilaterals

  • Status: Done
  • Type: Microsim
  • Bloom's Taxonomy: Remembering, Understanding
  • UI Elements: 9
  • Difficulty: Medium
  • Learning Objective: Students will remember area formulas for rectangles, squares, parallelograms, trapezoids, rhombuses, and kites, and understand how these formu...

Circle Anatomy and Formulas

  • Type: Diagram
  • Bloom's Taxonomy: Remembering, Understanding
  • UI Elements: 1
  • Difficulty: Easy
  • Learning Objective: Students will understand the relationship between radius, diameter, circumference, and area of a circle, and remember the formulas for circumf...

Comparing Perimeter and Circumference

  • Type: Diagram
  • Bloom's Taxonomy: Understanding, Analyzing
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will understand how regular polygon perimeters approach the circumference of a circle as the number of sides increases, and analyze t...

Packaging Efficiency Comparison

  • Type: Diagram
  • Bloom's Taxonomy: Analyzing, Evaluating, Creating
  • UI Elements: 3
  • Difficulty: Hard
  • Learning Objective: Students will analyze different packaging arrangements for efficiency, evaluate which designs minimize material use, and create optimal pa...

Scale Relationships

  • Type: Diagram
  • Bloom's Taxonomy: Understanding, Analyzing
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will understand how scale factors affect length, area, and volume differently, and analyze these relationships through visual and num...

Surface Area Formulas Reference

  • Type: Diagram
  • Bloom's Taxonomy: Remembering, Understanding
  • UI Elements: 0
  • Difficulty: Medium
  • Learning Objective: Students will remember surface area formulas for common solids and understand how these formulas account for all exterior surfaces. (Bloom's T...
  • Type: Diagram
  • Bloom's Taxonomy: Remembering, Understanding
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will remember the names and visual characteristics of common three-dimensional solids and understand the distinction between polyhedr...

Volume Formulas Comparison

  • Type: Diagram
  • Bloom's Taxonomy: Understanding, Analyzing
  • UI Elements: 0
  • Difficulty: Easy
  • Learning Objective: Students will understand the relationships between volume formulas for different solids and analyze why pyramids and cones have volumes that a...