6.NOS.2 Lesson 2-6-part2 Apply Day · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

2.6 · Part II

Second Practice Form · Independent Application and Spiral Review

Algorithm · Dividend

Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 2.6 · Part II
1Algorithm: A step-by-step set of rules or instructions to solve a math problem. Long Division Algorithm: D (Divide), M (Multiply), S (Subtract), B (Bring Down)
2The Structural Procedure
  1. D - Divide: write quotient digit above the bar
  2. M - Multiply: digit × divisor
  3. S - Subtract: find the difference
  4. B - Bring down: next digit from dividend
3Mathematical Word Bank
  • Algorithm (Algoritmo) — A step-by-step set of rules or instructions to solve a math problem.
  • Dividend (Dividendo) — The total number being divided into equal groups (the number inside the division bracket).
  • Divisor (Divisor) — The number of equal groups you are dividing into (the number outside the division bracket).
  • Quotient (Cociente) — The answer when you divide.
  • Remainder (Residuo) — What is left over when a number does not divide evenly.
  • Divide Multi-Digit Numbers (Dividir números de varias cifras) — Separate a multi-digit number into equal groups to find a quotient.
4Watch out
  • A common mistake in Divide Multi-Digit Numbers is skipping a placeholder zero in the quotient when a digit doesn't divide evenly, which shifts every digit after it out of place. For example, dividing 3,216 ÷ 3: 3 ÷ 3 = 1, but the next digit 2 doesn't divide by 3, so a 0 must be written before continuing — bring down the 1 to make 21 ÷ 3 = 7, then bring down 6 ÷ 3 = 2, giving the correct quotient 1,072. A student who skips writing that 0 and jumps straight to 21 ÷ 3 = 7 ends up with 172 instead of 1,072 — an answer off by a factor of ten. Always check: does a digit in your quotient go missing every time you 'can't divide'? If so, you dropped a placeholder zero.
SECTION 1 COMPUTATION & PROCEDURAL FLUENCY
  1. 1 MULTIPLE CHOICE

    What is 936 ÷ 12?

    1. A78
    2. B87
    3. C68
    4. D76
    12936
  2. 2 MULTIPLE CHOICE

    What is 2,485 ÷ 5?

    1. A497
    2. B487
    3. C507
    4. D496
    52485
  3. 3 MULTIPLE CHOICE

    What is 756 ÷ 9?

    1. A84
    2. B83
    3. C94
    4. D86
    9756
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING
  1. 4 MULTIPLE CHOICE

    A school orders 3,648 pencils packed 24 to a box. How many boxes are there?

    1. A152
    2. B148
    3. C160
    4. D144
    ✏️ Workspace & Solution Steps
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS
  1. 5 OPEN RESPONSE

    The station must load 3,360 ration packs equally into 14 storage pods. Solve it with long division. Name each step — divide, multiply, subtract, bring down — and check your answer by multiplying.

    ✏️ Mathematical Justification & Response
📐 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