Symbols and Songs

Grade Level

1st Grade

Duration

45 minutes

Class Size

18 students

Unit Overview:

Unit Title: Symbols and Unknowns in Math (Complete Unit of 3 lessons)
Lesson 3 Title: Creating Word Problems with Symbols and Songs
Lesson Description: In this culminating lesson, students will actively create and solve word problems involving unknown quantities, using symbols to represent these unknowns. Songs will be employed as a mnemonic device to reinforce the concept of symbols and unknowns. Small group collaboration and discussion will foster deeper understanding and engagement, consistent with the International Baccalaureate (IB) Primary Years Programme (PYP) approach to inquiry and conceptual understanding. Differentiation strategies will support dyslexic learners to ensure inclusive participation.

IB PYP Mathematics Framework Alignment

Key Concepts:

Form (What is it?)
Function (How does it work?)
Connection (How is it linked to other things?)

Related Concept:

Pattern
Representation

Transdisciplinary Theme:

How We Organize Ourselves (using symbols to organize thinking)

Approaches to Learning (ATL):

Communication skills: Expressing mathematical ideas using symbols and words.
Social Skills: Collaborating effectively in groups.

IB Learner Profile Attributes:

Thinkers (solving problems creatively)
Communicators (sharing ideas clearly)
Inquirers (asking questions and exploring)

Learning Objectives

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

Identify and use symbols to represent unknowns in simple word problems.
Create word problems that include unknown quantities represented by symbols.
Use songs to remember and explain the meaning of symbols and unknowns.
Collaborate with peers to write and solve basic number sentences involving symbols.
Explain the role of symbols in solving unknowns, fostering mathematical language and conceptual understanding.

Success Criteria

Students will demonstrate their understanding by:

Writing at least one word problem using a symbol to represent an unknown.
Using a learned song to explain the concept of an unknown in a word problem.
Solving simple equations collaboratively with their group.
Participating actively in group discussions and sharing ideas.

Materials Needed

Whiteboard and markers
Small individual whiteboards or paper for each student
Pre-prepared word problem picture cards (scenarios from daily life: e.g., fruit baskets, toys)
Symbols flashcards (e.g., boxes, shapes, letters like x)
Printed lyrics of the "Symbol Song" (simple tune with repetition emphasizing unknowns)
Counters or small manipulatives (cubes, buttons) for hands-on activities
Colored markers and pencils
Dyslexia-friendly fonts and visual aids for all written materials

Lesson Structure

1. Introduction & Warmup (10 minutes)

Engage students with the “Symbol Song”:
Sing a catchy and repetitive song that introduces or reviews the idea that symbols (like boxes or letters) can stand for numbers we don’t know yet.
Example lyrics snippet:
“A box can be a number, a letter can be too,
Symbols help us solve problems, it's fun for me and you!”
Brief discussion:
Ask students what symbols they know and why they think we use symbols in math, encouraging them to use their own words.
Show example word problems using a symbol:
“I have ___ apples. I got 3 more apples. Now I have 5 apples. How many apples did I start with?” (Using a box or an unknown symbol for the first number.)

2. Group Activity: Create Word Problems (20 minutes)

Group work (groups of 3 students):
Each group receives:
- A picture card depicting a relatable real-life situation (e.g., toys in a box)
- Symbol flashcards (box, letter x, ? symbol)
- Counters to model the problem physically
Task:
1. Discuss their picture scenario.
2. Write a simple word problem together, using symbols to represent the unknown number.
3. Use counters to model their word problem visually.
4. Attempt to solve their word problem together.
Teacher role:
Circulate, provide prompts, assist dyslexic learners by providing sentence starters or pairing them with peers who can help break down the problem verbally before writing.

3. Sharing and Connecting (10 minutes)

Group presentations:
Each group shares their word problem with the class. They explain:
- What the symbol means
- How they solved the problem
- What they learned about unknowns and symbols
Sing the “Symbol Song” one more time as a whole class to reinforce concepts.
Encourage students to ask questions to each other, fostering communication and critical thinking.

4. Individual Reflection & Assessment (5 minutes)

Provide students with a short worksheet or whiteboard task:
- A simple word problem with an unknown and space to write a symbol and the number sentence.
- Option for students to draw counters or pictures to show how they solved it.
Differentiation: For dyslexic students, use dyslexia-friendly font, color-code parts of the problem, and allow oral explanation if preferred.

Assessment & Evaluation

Formative assessments during group work: Observation checklists on collaboration, understanding of symbols, participation.
Individual task: Collect and review word problems and solutions for correct use of symbols and problem-solving strategies.
Oral presentations: Use IB rubrics for communication and conceptual understanding, adapted for age appropriateness.

Differentiation Strategies for Dyslexic Learners

Use multisensory approaches: combining visual (flashcards, picture cards), auditory (songs, oral instructions), and kinesthetic (manipulatives) learning.
Provide sentence starters or templates for writing word problems.
Use color-coded text and symbols to build stronger associations.
Offer extra time and allow verbal responses if writing is challenging.
Pair with empathetic peers for collaborative support.

Reflection & Follow-up

Post-lesson reflection with students: What did they find fun or challenging? How do they feel about symbols now?
Teacher notes for improvements or extensions, such as creating a class “Word Problem Book” with students’ creations.
Link to upcoming units, such as introduction to simple addition and subtraction equations without unknowns, building a strong foundation for algebraic reasoning.

National Standard Curriculum of Jamaica Alignment

Mathematics Primary Curriculum Grade 1:
- Outcome: Use symbols and words to represent simple mathematical ideas.
- Strand: Number; Sub-Strand: Operations and Algebra
- Topic: Recognize and use symbols for unknown quantities.

This lesson complements both the IB PYP framework and the Jamaican National Curriculum by embedding conceptual understanding, communication, and inquiry through hands-on activities and songs designed for young learners.

Teaching Instructions