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Day 1: Exploring Points, Lines, Rays, and Angles

Standard: NC.4.G.1
Duration: 45 minutes
Class size: 35 students

I Can...

• Identify points, lines, line segments, rays, and angles.
• Recognize parallel and perpendicular lines in two-dimensional figures.

Success Criteria

• Correctly identify and draw points, lines, rays, and line segments.
• Differentiate between parallel and perpendicular lines and identify them in shapes.

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Anticipatory Activity (5 minutes)

• Teacher presents: A simple, colorful poster with labeled points, lines, rays, and angles.
• Ask students: “Have you ever seen a street or a railroad track that goes on forever? That’s like a line! Can you point to something you think looks like a ray or a line segment?”
• Encourage brief student sharing to spark interest.

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Teacher Instruction (15 minutes)

1. Introduce Definitions using visuals/digital whiteboard:

   • Point: A single location in space (dot).
   • Line Segment: A part of a line with two endpoints.
   • Line: Extends forever in both directions.
   • Ray: Starts at one point and goes on forever in one direction.
   • Angle: Formed by two rays meeting at a point.
   • Parallel Lines: Lines that never meet, always the same distance apart.
   • Perpendicular Lines: Lines that cross at a 90° angle.

2. Draw and Label examples on the board; students replicate in notebooks.

3. Use manipulatives (string or rulers) to model lines, rays, and segments tactilely.

4. Demonstrate parallel and perpendicular lines using classroom objects (windows, desks).

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Student Work/Lesson Application (15 minutes)

• Task: Students draw each figure (point, line, ray, segment, angle) in their notebooks with labels.
• They will also find and sketch two examples each of parallel and perpendicular lines from the classroom or given diagrams.

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Small Group/Differentiated Instruction (7 minutes)

• Struggling learners: Work with teacher or aide using larger manipulatives, step-by-step drawing guidance, and color-coded labels (dyslexia-friendly fonts and high contrast).
• English Language Learners: Use picture cards with terms and definitions in simple language.
• Advanced learners: Challenge to find and draw obtuse, acute, and right angles, labeling angle types by measurement estimation.

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Exit Ticket/Assessment (3 minutes)

• On a small whiteboard or paper, students draw one parallel and one perpendicular pair of lines and label them.
• Teacher circulates to check understanding; quick thumbs up/down for confidence.

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Day 2: Identifying and Comparing Quadrilaterals

Standards: NC.3.G.1, NC.4.G.2
Duration: 45 minutes
Class size: 35 students

I Can...

• Identify quadrilaterals and their attributes.
• Compare and contrast quadrilaterals including parallelograms, rectangles, rhombuses, squares, and trapezoids.

Success Criteria

• Correctly name quadrilaterals based on attributes.
• Identify shared and unique attributes among different quadrilaterals.

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Anticipatory Activity (5 minutes)

• Show real-world photos (windows, picture frames, playground surfaces) and ask: “Can you spot any four-sided shapes? What do you notice about their sides and corners?”

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Teacher Instruction (15 minutes)

1. Review What is a Quadrilateral? (four-sided polygon).
2. Introduce key quadrilaterals using diagrams:
   • Parallelogram
   • Rectangle
   • Rhombus
   • Square
   • Trapezoid
3. Highlight attributes: Parallel sides, equal sides, right angles.
4. Model a Venn diagram comparing squares and rectangles showing shared and unique attributes.
5. Show non-examples (shapes with 3 or 5 sides, shapes without parallel sides).

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Student Work/Lesson Application (15 minutes)

• Activity: Students sort printed or drawn quadrilaterals into groups by attributes (e.g., all rectangles, all with parallel sides).
• Draw two different quadrilaterals labeling their attributes (e.g., 4 right angles, parallel sides).
• Complete a simple fill-in chart comparing side lengths, angles, and parallel sides of shapes shown.

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Small Group/Differentiated Instruction (7 minutes)

• Visual learners: Use color coding for attributes (blue for parallel lines, red for equal sides).
• Struggling students: Provide cut-out shapes to handle and classify physically.
• Advanced students: Challenge to explain the difference between a rhombus and rectangle using a drawing and reason verbally.

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Exit Ticket/Assessment (3 minutes)

• Each student draws one quadrilateral and lists two attributes that help identify it.
• Prompt example: “I drew a square because it has four equal sides and four right angles.”

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Day 3: Drawing and Categorizing Quadrilaterals

Standards: NC.3.G.1, NC.4.G.2
Duration: 45 minutes
Class size: 35 students

I Can...

• Draw quadrilaterals given specific attributes.
• Identify and draw quadrilaterals that do not belong in certain categories.
• Categorize quadrilaterals according to their attributes.

Success Criteria

• Accurately draw quadrilaterals based on given criteria (parallel sides, side lengths, angles).
• Correctly identify non-examples that do not fit categories.

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Anticipatory Activity (5 minutes)

• Quick review with shape flashcards: “Which of these are rectangles? Which are not? Why?” Include some “trick” shapes.

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Teacher Instruction (15 minutes)

1. Demonstrate step-by-step how to draw various quadrilaterals when given attributes (e.g., draw a quadrilateral with exactly one pair of parallel sides and no right angles).
2. Model identifying which shapes do not belong to a category (e.g., a quadrilateral with unequal sides is not a rhombus).
3. Use a two-column chart on the board: Attributes / Quadrilateral Names.

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Student Work/Lesson Application (15 minutes)

• Task: Students receive attribute cards (example: four sides, two pairs of parallel sides, all sides equal) and draw the matching quadrilateral.
• Then, students receive cards with attributes that describe non-examples and have to explain or draw why it does not fit the category.
• Complete a graphic organizer where they categorize quadrilaterals by attributes.

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Small Group/Differentiated Instruction (7 minutes)

• For students needing support: Guided drawing with checkpoints.
• For ELLs: Use vocabulary charts & sentence stems (e.g., “The shape is a rectangle because…”).
• For advanced learners: Challenge to design their own quadrilateral with a unique set of attributes and explain.

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Exit Ticket/Assessment (3 minutes)

• Draw a shape that is not a square but has four equal sides; label it and write why it does not belong in the square category.

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Differentiation Strategies Summary

• Use visual aids (color coding, diagrams) and tactile materials (cut-outs, string).
• Employ dyslexia-friendly fonts and avoid complex language; provide vocabulary cards with images.
• Sentence frames and vocabulary posters support language learners.
• Offer extension activities such as exploring irregular quadrilaterals or composing quadrilaterals from triangles.

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Extension Activities for Advanced Learners

• Create a “quadrilateral family tree” showing how shapes relate by attributes.
• Explore the concept that all squares are rectangles but not all rectangles are squares; construct arguments with diagrams.
• Use geometric software or apps to manipulate and transform quadrilaterals and observe properties.

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This three-day plan aligns with NC.3.G.1 and NC.4.G.2 standards, ensuring students develop a thorough understanding of two-dimensional figures with emphasis on quadrilaterals, lines, and angles, supported by practice and critical thinking in meaningful contexts.