Real-World Expressions

Grade Level

6th Grade

Duration

30 Minutes

Class Size

15 Students

Unit Context

Unit: Expressions with Variables
Lesson: 3 of 4
Lesson Title: Real-World Applications of Expressions

Common Core Standards

CCSS.MATH.CONTENT.6.EE.A.2

Write, read, and evaluate expressions in which letters stand for numbers.

CCSS.MATH.PRACTICE.MP4

Model with mathematics.

CCSS.MATH.PRACTICE.MP2

Reason abstractly and quantitatively.

Learning Objectives

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

I can write algebraic expressions to represent real-world word problems using variables.
I can interpret expressions that represent real-world situations.
I can explain how variables and operations in expressions connect to real-life contexts.

Success Criteria

Students will:

Correctly identify quantities and variables in word problems.
Translate real-world situations into algebraic expressions with at least 80% accuracy during guided practice.
Create their own expressions from original or provided word problems and explain their reasoning clearly.

Materials Needed

Whiteboard and markers
Printed dyslexia-friendly word problem cards (using clear font, spacing, and color contrast)
Individual whiteboards or notebooks for students
Visual aids showing examples of real-world expressions
Timer for activity pacing

Lesson Procedure

1. Introduction (5 minutes)

Greet students and briefly review previous lessons about variables and expressions.
Present the "I can" statements and success criteria on the board for clarity.
Begin by modelling a simple real-world problem (e.g., "You have 5 apples and buy x more apples. How many apples do you have in total?").
Write the expression 5 + x on the board and explain how the variable represents an unknown number of apples bought.

2. Guided Practice (10 minutes)

Distribute printed dyslexia-friendly word problem cards in pairs or small groups (e.g., "Joan earns $7 per hour working and works h hours. Write an expression to show how much money Joan makes.").
Have students discuss and write their expressions on individual whiteboards or notebooks.
Circulate, providing support, focusing on linking language to algebraic terms.
Bring the class back together to review 2–3 examples, discussing why the expressions represent the scenarios correctly.
Emphasize connection between the real-world context and the variables used.

3. Independent Application (10 minutes)

Ask students to write their own word problem from a real-world context familiar or interesting to them (e.g., sports, shopping, measuring).
Students then write the corresponding algebraic expression using variables.
Encourage students to swap problems with a partner and solve by writing expressions for each other’s problems.
Offer sentence starters for those who need support:
- "If I have ___, and I add ___ more, the total is …"
- "If it costs $___ per item and I buy ___ items, then the price is …"

4. Closure and Reflection (5 minutes)

Invite 3–4 students to share their word problems and expressions on the board, explaining their reasoning.
Revisit the "I can" statements and ask students to self-assess their understanding (e.g., thumbs up/down).
Preview the next lesson about evaluating expressions with given variable values for continuity.

Differentiation Strategies

For Diverse Learners:
- Provide word problems with visuals or simplified language.
- Use sentence frames and graphic organizers to support expression development.
- Pair verbal explanations with written instructions in dyslexia-friendly font (e.g., OpenDyslexic or Arial, 14-point).
- Provide step-by-step prompts and frequent check-ins.
For Advanced Learners:
- Challenge students to write expressions with multiple operations and variables from more complex scenarios.
- Encourage them to create and solve multi-step problems involving expressions.
- Ask them to explain how changing variables affects outcomes in their expressions.

Extensions

Have students create a short comic strip or storyboard that shows the scenario and the algebraic expression to represent the story.
Use digital tools or apps (if available) for students to type and graphically present their expression-based problems.
Connect with science or social studies by using expressions related to real-life data (e.g., temperature changes, distances, population counts).

Assessment

Informal formative assessment during guided practice through observation and questioning.
Review students’ written expressions during independent work for accuracy and understanding.
Exit ticket prompt: "Write an expression for this situation—You save $10 every week. How much money do you have after w weeks?"

Teacher Reflection Prompts (post-lesson)

Were students able to connect real-world contexts to algebraic expressions effectively?
Did all students participate and are there any who need targeted support for the next lesson?
How did the dyslexia-friendly materials impact reading comprehension and engagement?
What strategies worked best for encouraging students to create their own word problems?

This lesson plan is designed to balance conceptual understanding with active participation, making variables relatable by connecting math to students' lived experiences. The use of differentiated supports and enrichment fosters inclusivity and challenges all learners to succeed.

Teaching Instructions