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

6.5 Small Group · Group 1

Second Practice Form · Re-Teach, Homework or Retake · Same Standard, New Problems

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

    Line 1: A lyric says '7 more than a number of beats n.' Which expression matches?

    1. An + 7
    2. B7n
    3. Cn − 7
    4. D7 − n
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Line 2: The chorus says '5 less than a number of tracks x.' Which expression matches?

    1. Ax − 5
    2. B5 − x
    3. C5x
    4. Dx + 5
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    Line 3: A verse says 'twice a number of speakers' (use s). Which expression matches?

    1. A2s
    2. Bs + 2
    3. Cs − 2
    4. Ds ÷ 2
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 4 MULTIPLE CHOICE

    Which key word tells you to multiply?

    1. AProduct
    2. BSum
    3. CDifference
    4. DQuotient
    ✏️ Workspace & Solution Steps
  2. 5 MULTIPLE CHOICE

    The expression 8n + 15 gives the cost of n tickets plus a fee. What is the cost for 6 tickets?

    1. A$63
    2. B$138
    3. C$29
    4. D$48
    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.
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 6 ERROR ANALYSIS

    Spot the Common Mistake

    1. 1Phrase:the product of a number n and 4
    2. 2Student's expression:n + 4
    3. 3Reasoning:I saw two numbers and a variable, so I added them together.

    Which step contains the error? Explain the mathematical misconception and write the correct calculation below.

    ✏️ Corrected Mathematical Work & Explanation
📐 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