6.AT.6a Lesson 6-5-group1 🟡 Group 1 · Support & Scaffolding
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

6.5 Small Group · Group 1

Tier 2 Intervention · Concrete-Representational-Abstract (CRA) · Dual-Language Anchors

Write Algebraic Expressions · Variable · Procedural Fluency · Reasoning & Critique

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — How do we turn words into an expression?
1Words like “each” or “per” mean multiply and attach to the variable; a one-time amount is a constant. Once the variable has a number, substitute it in and evaluate using the order of operations.
  • An algebraic expression uses numbers, a variable (a letter for an unknown number), and operations. We read a word phrase and write it with math symbols. We'll walk through a worked example, try one together, then you'll try a few with hints right there when you need them.
2Worked Example — Watch me
  1. Tickets cost $12 each, plus a flat $50 venue fee. Let t be the number of tickets.
  2. "$12 each ticket" means 12 times t, which I write as 12t.
  3. The flat fee $50 is added once, so I add 50.
  4. I put them together: total revenue = 12t + 50.
3Mathematical Word Bank
  • Write Algebraic Expressions (Escribir expresiones algebraicas) — Translate words or a situation into numbers, variables, and operation symbols.
  • Variable (Variable) — A letter that stands for a number that is unknown or can change.
  • Algebraic Expression (Expresión algebraica) — A math phrase that has at least one letter.
  • Coefficient (Coeficiente) — The number in front of a letter, like the 3 in 3x.
  • Constant (Constante) — A fixed number in an expression or equation that does not change.
  • Like terms (Términos semejantes) — Terms with the same letter raised to the same power, like 2x and 5x.
4Watch out
  • A common mistake in Write Algebraic Expressions is treating 'each' or 'per' as if it means add instead of multiply, and attaching the variable to the wrong number. For 'a $25 setup fee plus $8 per hour, h,' students often write 25 + 8 + h (adding all three numbers) or 25h + 8 (multiplying the flat fee by h) instead of the correct 8h + 25. Since $8 applies per hour, it must multiply the variable (8h), and the flat $25 fee is a constant added only once — check that the per-unit rate, not the flat fee, is the number multiplied by the variable.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    Which expression represents 'the product of 6 and a number n'?

    1. A6n
    2. B6 + n
    3. Cn − 6
    4. Dn ÷ 6
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Which expression represents '9 less than a number y'?

    1. Ay − 9
    2. B9 − y
    3. Cy + 9
    4. D9y
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    Which expression represents 'the sum of a number m and 15'?

    1. Am + 15
    2. Bm − 15
    3. C15m
    4. Dm ÷ 15
    ✏️ Workspace & Solution Steps
  4. 4 DRAG SORT

    Sort each key word by the operation it represents.

    Target Categories: Addition Subtraction Multiplication
    • 5 DRAG SORT

      Match each word phrase to its correct algebraic expression.

      Target Categories: Correctly Matched
      SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
      1. 6 MULTIPLE CHOICE

        Evaluate 4.25s + 23.50 when s = 10.

        1. A$66.00
        2. B$277.50
        3. C$47.75
        4. D$66.75
        My work — one step per lineWhat I did to both sides
        1. 1LookWhat is done to the variable?
        2. 2UndoDo the opposite — both sides.
        3. 3SimplifyOne side at a time.
        4. 4CheckPut it back in.
      🗣️ MATHEMATICAL DISCOURSE & TALK MOVES SMP.3 / Construct Viable Arguments

      Group Discussion Prompt: How does your visual model justify your mathematical solution?

      🗣️ Partner A:
      Partner A: "I modeled this by identifying the relationship and..."
      👂 Partner B:
      Partner B: "I agree with your step because the standard mathematical rule states..."
      ✍️ The Writing Revolution (TWR) · Sentence Expansion Because · But · So

      Complete each sentence stem to demonstrate precise mathematical reasoning:

      BECAUSE The ratio remains equivalent because both quantities are scaled by the exact same multiplicative factor.
      BUT Two ratios may look similar, but inverting the order of terms fundamentally changes the comparison.
      SO The recipe requires 3 parts flour to 2 parts water, so the unit rate is 1.5 cups of flour per cup of water.
      📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

      Writing Task: Justify why your mathematical solution is accurate and complete.

      C Claim
      Starter: My mathematical claim is that the solution is...
      E Evidence
      Starter: The evidence from the model/table demonstrates that...
      R Reasoning
      Starter: This proves my answer because the standard mathematical definition of...
      Student Mastery Self-Assessment:
      1 · Need More Support
      2 · Getting Closer
      3 · Got It / Solid
      4 · Master / Can Teach It