6.AT.6a Lesson 6-5-part2 Apply Day · Set B
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6.5 · Part II

Second Practice Form · Independent Application and Spiral Review

Write Algebraic Expressions · Variable

Interactive Workbench & Models →
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■ ADVANCED CONCEPT ANCHOR: 6.5 · Part II
1Writing & Evaluating Algebraic Expressions
2The Structural Procedure
  1. Define the variable to represent the unknown quantity
  2. Translate mathematical phrases into operations, coefficients, and constants
  3. Evaluate by substituting given numerical values for the variable
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 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
  2. 2 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
  3. 3 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
  4. 4 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
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 5 MULTIPLE CHOICE

    (Lesson 6.3) What is the value of 6²?

    1. A36
    2. B12
    3. C62
    4. D8
    ✏️ Workspace & Solution Steps
  2. 6 MULTIPLE CHOICE

    (Lesson 6.4) Evaluate 3 + 4 × 2.

    1. A11
    2. B14
    3. C24
    4. D9
    Line up the place values
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

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

C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It