📚 Teacher's Guide

📋 Standards Alignment

Arizona Mathematics Standards (Grades 4-8):

• • 4.MD.C.5: Recognize angles as geometric shapes formed wherever two rays share a common endpoint

• • 4.MD.C.6: Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure

• • 5.G.A.2: Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane (spatial reasoning connection)

• • 6.G.A.1: Find area of triangles and other polygons by composing into rectangles or decomposing into triangles (requires understanding of angles)

• • 7.G.B.5: Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle

• • 8.G.A.5: Use informal arguments to establish facts about angle relationships (foundation for geometric proofs)

Arizona Educational Technology Standards:

• • Empowered Learner: Students leverage technology to take an active role in choosing and achieving their learning goals

• • Knowledge Constructor: Students critically curate resources using digital tools

♿ Universal Design for Learning (UDL)

Multiple Means of Representation:

• • Visual reference grid showing 15° increments

• • Optional protractor overlay for additional support

• • Color-coded feedback messages by accuracy level

Multiple Means of Action & Expression:

• • Touch and mouse interaction support

• • Self-paced progression through questions

Multiple Means of Engagement:

• • Immediate feedback with encouraging messages and specific tips

• • Points-based system with goal to decrease score

• • Performance analysis by angle category

🎮 Game Mechanics

Number of Questions: 10 per game (randomly selected from a bank of 25)

Scoring: Points = absolute difference from target angle. The goal is to decrease your score!

Feedback Levels:

• • 0° off = Perfect! (0 points)

• • 1-3° off = Excellent! (1-3 points)

• • 4-7° off = Great job! (4-7 points)

• • 8-15° off = Good try! (8-15 points)

• • 16+° off = Keep practicing! (16+ points)

Contextual Tips: Students receive specific guidance based on their error (e.g., "click higher," reference to 90° benchmark)

💡 Pedagogical Rationale

This activity develops spatial reasoning and angle measurement skills through:

• • Active Learning: Students construct angles rather than passively viewing them

• • Immediate Feedback: Real-time error correction supports learning

• • Formative Assessment: Teachers can identify misconceptions by angle category

• • Differentiation: Random question selection allows repeated practice without memorization

📊 Use Cases

Individual Practice:

• • Warm-up Activity: Quick skill check at lesson start

• • Station Rotation: Independent practice during small group instruction

• • Intervention: Targeted practice for struggling students

• • Formative Assessment: Screenshot results for data-driven instruction planning

• • Self-Reflection: Students analyze their performance by angle category and identify personal areas for improvement

Partner Activity Structure:

• • Role 1 - Drawer: Operates the device and draws angles on the canvas

• • Role 2 - Coach: Provides verbal guidance and encouragement, helps strategize placement

• • Partners switch roles after 5 questions

• • Partners discuss strategies: "Where should we click for a 60° angle?" or "That was close - what should we adjust?"

• • Promotes mathematical discourse and collaborative problem-solving

📸 Assessment Instructions

Students can submit their results via LMS:

• 1. Complete all 10 questions

• 2. Review the data report (no scrolling needed)

• 3. Take a screenshot of the entire report

• 4. Upload to your LMS assignment

The report shows performance by angle category, helping you identify specific areas for reteaching.

👤 Credits & Disclosure

Designer: Dana Leonardo

AI Disclosure: This educational game was co-designed with AI assistance (Canva) to support standards-aligned mathematics instruction.