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
■ 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
- D - Divide: write quotient digit above the bar
- M - Multiply: digit × divisor
- S - Subtract: find the difference
- 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
[Show Every Step]
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1 MULTIPLE CHOICE
What is 936 ÷ 12?
- A78
- B87
- C68
- D76
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2 MULTIPLE CHOICE
What is 2,485 ÷ 5?
- A497
- B487
- C507
- D496
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3 MULTIPLE CHOICE
What is 756 ÷ 9?
- A84
- B83
- C94
- D86
SECTION 2
REAL-WORLD CONTEXTS & PROBLEM SOLVING
[Applications]
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4 MULTIPLE CHOICE
A school orders 3,648 pencils packed 24 to a box. How many boxes are there?
- A152
- B148
- C160
- D144
✏️ Workspace & Solution Steps
SECTION 3
MATHEMATICAL WRITING & ERROR ANALYSIS
[Reasoning & Critique]
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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.