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MTH 326 LESSON PLAN

Grade 2Math2 days

This Grade 2 math project leverages creative and practical methods to teach students how to partition shapes into equal parts. Through activities like creating partitioned artworks and planning a party, students learn to divide rectangles and circles into halves, thirds, and fourths, using these skills to solve real-world problems. The project considers diverse learning needs, including special education, incorporating collaborative tasks and hands-on experiences such as baking and art integration. Assessment is conducted through a rubric focusing on geometric understanding, arithmetic application, and inclusive collaboration.

Partitioning ShapesGeometric UnderstandingArithmetic ApplicationCollaborative LearningSpecial Education InclusionReal-World Application

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Inquiry Framework

Question Framework

Driving Question

The overarching question that guides the entire project.How can we creatively partition shapes into equal parts and use this skill to solve everyday problems, while considering different learning needs, like those of special education students?

Essential Questions

Supporting questions that break down major concepts.

How do we partition a rectangle into equal rows and columns, and why is this skill useful in everyday life?
What strategies can we use to accurately partition a shape into equal parts, and how can we describe these parts?
Why is it important to understand that equal shares of identical wholes can have different shapes?
How can understanding parts of a shape (such as halves, thirds, and fourths) help us solve real-world problems?

Standards & Learning Goals

Learning Goals

By the end of this project, students will be able to:

Students will be able to partition rectangles into rows and columns of equal-sized squares and count the total number, applying this skill in practical contexts.
Students will accurately partition circles and rectangles into equal shares of two, three, or four, and describe the shares using appropriate terminology.
Students will understand and explain that equal shares of identical wholes can take different shapes, enhancing problem-solving skills in dynamic situations.
Students will apply partitioning skills to everyday scenarios, considering various learning needs, including those of special education students.

Common Core Standards

2.G.2

Primary

Partition a rectangle into rows and columns of the same-size squares and count to find their total numberReason: This standard aligns with the project goal of partitioning shapes into equal parts, particularly focusing on rectangles, which is central to the driving question and essential questions related to understanding rows and columns.

2.G.3

Primary

Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.Reason: This standard directly addresses the understanding and description of partitioning shapes into equal shares, which is a core aspect of the project's essential questions and is key to solving real-world problems using these skills.

Entry Events

Events that will be used to introduce the project to students

Live Baking Challenge

Invite a local baker to the class to demonstrate dividing a large rectangular cake into different portions. Students can observe and later participate in sharing the cake using given instructions. This aligns with real-world application of partitioning and encourages discussions on equal shares.

Art Meets Math Exhibition

Set up an art wall where students create partitioned artwork using different mediums. As they explain their artistic choices, they delve into math concepts of partitioning, integrating a personal and creative facet into mathematical inquiry.

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Portfolio Activities

These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.

Activity 1

Rectangle Row Rangers

Students learn to partition rectangles into rows and columns, forming same-size squares, and then count the total number. This activity introduces the concept of visualizing grids on rectangular surfaces, strengthening spatial awareness and foundational arithmetic skills.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Introduce the concept of partitioning using a grid on the whiteboard. Present a large rectangle and explain how to draw horizontal and vertical lines to create rows and columns.

2. Have students draw a rectangle in their notebooks and guide them to partition it into equal-sized squares by adding rows and columns.

3. Ask students to count the total number of squares in their partitioned rectangle and verify their results with peers.

4. Discuss the importance of equal-sized partitions and their applications in real life, such as in floor tiling or piece partitioning.

Final Product

What students will submit as the final product of the activityA partitioned rectangle with equal-sized squares, with a total count of squares calculated by the student.

Alignment

How this activity aligns with the learning objectives & standardsAligns with 2.G.2 as it focuses on creating rows and columns of equal-sized squares and counting them within rectangles.

Activity 2

Fraction Fiesta!

Students synthesize their understanding of partitioning through a creative party planning project, where they apply mathematical concepts in a real-world context, catering to various learning needs, including those of special education students.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Introduce a scenario where students need to plan a pretend fiesta for the class, involving desserts or snacks partitioned into equal parts.

2. Group students by learning needs to allow collaborative problem-solving and peer learning.

3. Ask students to choose one item (e.g., cake, pizza) and decide how to partition it into equal shares for the class.

4. Have students present their plan, describing how they determined the partitions using mathematical language and visual aids.

5. Provide feedback focusing on the understanding and application of equal shares while considering inclusivity and accessibility for all learners.

Final Product

What students will submit as the final product of the activityA group project presenting a plan for partitioning an item equally for a party, complete with explanations and visual representations.

Alignment

How this activity aligns with the learning objectives & standardsConsolidates 2.G.2 and 2.G.3 by applying partitioning concepts in a complete task, fostering collaborative learning and accommodation for special education needs.

Activity 3

Shape Share Showcase

This activity enables students to explore partitioning shapes into equal shares of halves, thirds, and fourths. By physically manipulating paper shapes, students develop a deeper understanding of fractions as parts of a whole and use proper mathematical language to describe these partitions.

Steps

Here is some basic scaffolding to help students complete the activity.

1. Provide students with paper cutouts of circles and different rectangles.

2. Demonstrate how to fold or cut the shapes into two, three, or four equal parts. Emphasize the terminology: halves, thirds, fourths.

3. Allow students to use scissors to partition their own shapes and label each part correctly.

4. Pair students to compare results and check for consistency in the size and shape of partitions.

5. Encourage students to discuss equal shares of identical wholes that may vary in shape (e.g., different styles of thirds in circles).

Final Product

What students will submit as the final product of the activityCorrectly partitioned paper shapes with labels for each part (halves, thirds, fourths), including explanations of different partitions.

Alignment

How this activity aligns with the learning objectives & standardsAligns with 2.G.3 by requiring students to partition shapes into equal shares and describe them using specific mathematical terminology.

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Rubric & Reflection

Portfolio Rubric

Grading criteria for assessing the overall project portfolio

Shape Partitioning Rubric

Category 1

Understanding and Application

Evaluates students' grasp of partitioning concepts and their ability to apply these skills in both structured activities and real-world contexts.

Criterion 1

Geometric Understanding

Measures the student's ability to partition a shape into equal parts using geometric concepts.

Exemplary

4 Points

Consistently partitions shapes into equal parts with precision and can explain the process using detailed geometric concepts.

Proficient

3 Points

Accurately partitions shapes into equal parts and provides clear explanations using geometric terminology.

Developing

2 Points

Partitions shapes into equal parts with some accuracy; explanations are basic and may lack full clarity.

Beginning

1 Points

Struggles to partition shapes into equal parts and provides minimal or incorrect explanations.

Criterion 2

Arithmetic Application

Assesses student's ability to calculate and verify total parts in a partitioned shape.

Exemplary

4 Points

Accurately calculates totals of partitioned parts consistently and verifies peers' outcomes with insightful feedback.

Proficient

3 Points

Correctly calculates total parts of partitioned shapes and verifies results with peers.

Developing

2 Points

Calculates total parts with some errors; verification with peers is basic.

Beginning

1 Points

Has frequent errors in calculating totals and struggles with verification processes.

Criterion 3

Terminology Usage

Evaluates the student's ability to use proper mathematical language to describe partitioned parts.

Exemplary

4 Points

Uses precise and varied mathematical terminology consistently to describe partitioned shapes.

Proficient

3 Points

Applies appropriate mathematical terminology to describe partitioned shapes.

Developing

2 Points

Uses basic mathematical terms inconsistently to describe the parts of shapes.

Beginning

1 Points

Uses minimal or incorrect mathematical terminology related to partitioning.

Category 2

Collaboration and Inclusion

Assesses how well students work together and cater to different learning needs, with a focus on inclusion and peer support.

Criterion 1

Collaborative Engagement

Measures student participation in group activities and their contribution to group tasks.

Exemplary

4 Points

Actively leads group tasks, encouraging participation and effectively integrating others’ ideas, including those with special needs.

Proficient

3 Points

Participates effectively in group tasks and contributes constructively, acknowledging peers' needs.

Developing

2 Points

Participates in group tasks and occasionally contributes ideas, with some attention to peers' needs.

Beginning

1 Points

Participates minimally in group activities and is often unaware of peers’ needs and contributions.

Reflection Prompts

End-of-project reflection questions to get students to think about their learning

Question 1

What was the most valuable skill you learned about partitioning shapes in this unit, and how do you think it will help you in real-world situations?

Text

Required

Question 2

On a scale from 1 to 5, how confident do you feel about partitioning shapes into equal parts? Please explain your rating.

Scale

Required

Question 3

Which activity did you find most engaging in this unit, and why?

Text

Required

Question 4

How well do you think the class activities considered different learning needs, including those of special education students?

Multiple choice

Optional

Options

Very well

Somewhat well

Neutral

Not well

Not at all

Question 5

Can you describe a challenge you faced while working on partitioning shapes and how you overcame it?

Text

Required