Teachers Guide
Grade 2 - Unit 6 - Module 4
Bridges® in Mathematics
Session Titles:
Session 1: Halves & Fourths
Session 2: Creating Patchwork Blocks
Session 3: The Sandwich Problem, Part 1
Session 4: The Sandwich Problem, Part 2
Session 5: Unit 6 Assessment
Module 4 Investigations into Fractions:
Print Originals pages and activities related to fractions and shapes.
Module 4 Overview:
Focuses on fractions as equal shares through quilt blocks and sandwiches.
Students learn that equal shares do not always have to be the same shape.
Sessions Overview:
Session 1: Warm-up discussion on figures. Folding exercises for halves and fourths.
Session 2: Quilt block creation and discussions on halves and fourths.
Session 3 and 4: Exploration of the Sandwich Problem in groups.
Session 5: Unit assessment following the exploration activities.
Materials Preparation:
Detailed list of materials needed for each session.
Paper Cutting:
Specific sizes and quantities of squares to be cut from various papers for activities.
Concepts, Skills & Practices:
Comprehensive coverage of mathematical skills aligned with sessions.
Emphasis on addition, subtraction, and understanding of shapes in fractions.
No notable content provided.
Session 1: Halves & Fourths Summary:
Exploration of geometric figures, paper folding techniques, and discussing fractions.
Learning Goals:
Understand and create halves and fourths, recognize different shapes as equal shares.
Materials: Print originals and classroom materials needed.
Warm-Up Activity: Which Shape Doesn’t Belong?
Interactive class discussion to identify uniqueness among figures.
Sample Responses:
Highlighting reasons why each shape is different from the others.
Folding Paper into Halves & Fourths:
Class participation in folding white squares and predicting outcomes.
Class Observations:
Discuss what is observed once the squares are unfolded.
Exploration of the term 'fourth':
Discussion on its mathematical significance and its relation to quarters (e.g. coin).
Activity Adjustment:
Predicting outcomes from additional folds and discussing the limiting factor on folding paper.
Assessment: Fractions Work Sample:
Guiding students to independently complete the assigned work sample based on previous activities.
Home Connection Assignment:
Introduction of the Halves & Extra Facts Home Connection for additional practice.
Session 2: Creating Patchwork Blocks Summary:
Students create their own quilt blocks and share observations.
Learning Goals: Equal shares can differ in shape.
Warm-Up Activity: Which One Doesn’t Belong?
Group activity to determine the unique quilt block.
Making Quilt Blocks:
Students instructed to create quilt blocks using specific folding techniques.
Observations: Students share insights based on the shapes they created.
Final Sharing:
Displaying all created quilt blocks for class comparison and discussion.
Class Discussion on Quilt Blocks:
Students compare their blocks and discuss fractions in relation to them.
Work Places:
Students have time to work independently on various stations.
Session 3: The Sandwich Problem, Part 1 Summary:
Introduces students to the different ways sandwiches can be cut and class engagement on the idea of fairness.
Warm-Up Discussion:
Initial thoughts on which sandwich to prefer and reasons given.
Further Class Activities:
Sharing narratives on sandwiches prepared differently, leading to discussions about fairness.
Story Continuation:
Introducing dilemma faced by children regarding sandwich size and shapes.
Session 4: The Sandwich Problem, Part 2 Summary:
Deepening investigation into whether the differently shaped fourths are equal in size, particularly group presentations of findings.
Planning the Investigation:
Students brainstorm investigations after reviewing previous sessions.
Engagement with Strategies:
Class discussion around methods to determine equal sizes of different shapes.
Poster Presentation Guidelines:
Instructions on how students will present their findings post-investigation.
Class Sharing Activity: Students compare findings about the sandwich pieces and discuss various strategies explored.
Work Place Time & Clean Up:
Extending time for groups to finalize posters and present them.
Session 5: Unit 6 Assessment Summary:
Concludes the module with a gallery walk of student work and formal assessment.
Assessment Introduction:
Preparation for assessment on content learned in Module 4 using various tools.
Gallery Walk Proceeding:
Students explore and discuss completed investigation posters, allowing for reflection.
Final Assessment Guidance:
Instructions for assessment completion, ensuring understanding and clarity in responses.
Note: Content Summary
Note: Additional Teacher Resources and Guide Materials