Algebraic Expression Language

Overview

In lesson 15 of 26, students develop the language needed to describe and interpret algebraic expressions. Concrete algebra tiles, colour coding, guided notes, and repeated oral rehearsal connect familiar operations to variables, coefficients, constants, terms, and expressions.

Learning intentions

Students will:

• identify variables, coefficients, constants, terms, and operation symbols;
• represent expressions with algebra tiles;
• explain how an expression is different from an equation;
• translate a verbal description into an algebraic expression;
• communicate mathematical thinking using precise vocabulary.

Success criteria

• I can identify and label the parts of an algebraic expression.
• I can use algebra tiles and colours to show what each part means.
• I can explain that an expression has no equality statement, while an equation states that two quantities are equal.
• I can translate a verbal description, such as “three times a number plus four,” into an expression.

Curriculum links

• Patterns and Relations — oral and written patterns and their corresponding relations.
• Patterns and Relations — representing algebraic expressions in multiple ways.
• Patterns and Relations — explaining the difference between an expression and an equation.
• Mathematical processes — communication, connections, reasoning, problem solving, and visualization.

Lesson structure (50 minutes)

1. 0–5 min · Attention hook and retrieval. Display a mystery model using three x-tiles and four unit tiles in the hook and retrieval slides. Ask, “What could this model mean, and how could we describe it without saying ‘the blue pieces’?” Students make a quick prediction, name any familiar symbols, and share with a partner.

2. 5–12 min · Concrete introduction. Use colour-coded algebra tiles and the Algebra Tiles: Linear Expressions Pack to model (x), (3x), (4), and (3x+4). Teacher explicitly introduces variable, coefficient, constant, term, expression, and operation symbols, placing each word on a personal word wall. Students build each example, say it aloud, and match vocabulary cards or labels to the model.

3. 12–20 min · Video and guided notes. Play a short, teacher-previewed Grade 7 algebra vocabulary segment from the provided YouTube search results, pausing after each definition. Students complete the dyslexia-friendly guided notes and vocabulary sheet while the teacher models notes on the vocabulary and visual-notes slides. Pause for “turn and explain” prompts: “Which part tells us how many?” and “Which part can change?”

4. 20–29 min · Mathology collaborative activity. Provide the Mathology algebra vocabulary activity and assign the four students rotating roles: builder, reader, recorder, and checker. Students construct or inspect an expression, identify its terms and operation, then explain their reasoning to the group. Teacher listens for accurate use of vocabulary and reteaches through tiles or a worked example when needed.

5. 29–37 min · Supported practice. Model two examples: (5x+2) and (7-2x), using consistent colours for variable, coefficient, constant, and operation. Students label two further expressions on the dyslexia-friendly guided notes and vocabulary sheet, first with a partner and then independently. Complete one example together, cover the vocabulary word bank, and invite students to justify each label.

6. 37–45 min · Independent practice and Mathletics. Students complete the worksheet’s independent labelling questions, then practise algebra vocabulary in Mathletics if finished. Teacher conferences individually, checking that students distinguish a term from a coefficient and can read expressions accurately. Students requiring modified work may label (x), (4x), (+3), and (4x+3) using tiles and a reduced choice bank.

7. 45–50 min · Evidence checkpoint and exit routine. Students complete the final checkpoint on the dyslexia-friendly guided notes and vocabulary sheet: label all parts of (2x+6) and (4-3x), then translate “five times a number decreased by two” into an expression. Students briefly rate confidence with the words and explain one answer orally, by writing, drawing, or speech-to-text.

Resources

• the hook, vocabulary, modelling, practice, and plenary slides
• the dyslexia-friendly guided notes and vocabulary sheet
• the Algebra Tiles: Linear Expressions Pack
• Physical algebra tiles or colour-coded tile copies
• Mathology algebra vocabulary activity
• Mathletics devices and headphones
• Personal word-wall cards or vocabulary notebook
• Whiteboard, markers, and pencils
• Speech-to-text enabled device or tablet

Assessment

• Knowledge and Understanding: During modelling and guided practice, record whether each student identifies variable, coefficient, constant, term, expression, and operation symbols accurately. Progress is shown by correctly labelling at least 4 of 5 features in two expressions.
• Mental Math: Ask students to orally interpret simple coefficients and constants, such as “How many x-tiles are in (6x)?” and “What is the constant in (6x+3)?” Progress is shown by responding accurately without counting every tile.
• Problem Solving: Use the checkpoint translation task and ask students to explain how the words determine the expression. Progress is shown by writing or representing the correct expression and explaining the role of the operation.
• Collect the worksheet and record individual misconceptions for the next review or Monday warm-up.

Differentiation

• Provide a personal word wall with large, dyslexia-friendly sans-serif print, one definition per card, colour coding, icons, and an example; read terms aloud and allow oral rehearsal before writing.
• Use uncluttered notes, generous spacing, tinted or cream paper, reduced copying, bold key words, and speech-to-text or oral responses for students with dyslexia, language needs, or writing difficulties.
• Begin with (x), (3x), and (3x+4); offer a vocabulary bank, partially labelled models, sentence starters (“The coefficient is ___ because…”), and repeated teacher think-alouds.
• For students on modified programs, assess recognition and matching of variable, coefficient, constant, and expression using concrete tiles. Students ready for challenge can compare (2x+5) and (5+2x), identifying their terms and operation structure without formally simplifying.