6.NOS.3 Lesson 2-7-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

2.7 · Part II

Supported Application · Guided Entry to Today's Problem

Divide Decimals · Dividend

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 2.7 · Part II
1Decimal Division Algorithm
2Strategy Model — step by step
  1. Make the divisor a whole number: slide its decimal point to the right
  2. Slide the dividend's decimal point to the right the same number of places
  3. Write the answer's decimal point in the column directly above the dividend's point, then divide as whole numbers using Divide → Multiply → Subtract → Bring Down
3Mathematical Word Bank
  • Divide Decimals (Dividir decimales) — Find a quotient with decimals by sliding both decimal points right until the divisor is a whole number.
  • 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.
  • Decimal Division Algorithm (Algoritmo de división decimal) — The steps for dividing decimals: slide the divisor's decimal point right until the divisor is a whole number, slide the dividend's point right the same number of places, then divide.
  • Equivalent division (División equivalente) — Multiplying both numbers by 10 or 100 gives the same answer.
4Watch out
  • A common mistake in Divide Decimals is moving the decimal point in the divisor but forgetting to move it the same number of places in the dividend. For example, in 6.4 ÷ 0.8 a student changes 0.8 to 8 but leaves the dividend as 6.4, then divides 6.4 ÷ 8 = 0.8 instead of moving both points to get 64 ÷ 8 = 8. A second version of this mistake happens when the divisor has two decimal places, like 0.12: students move both points only 1 place instead of 2, turning 9.6 ÷ 0.12 into 96 ÷ 1.2 instead of the correct 960 ÷ 12. Count the divisor's decimal places first, then move BOTH points that same number of places.
SECTION 1 COMPUTATION & PROCEDURAL FLUENCY [Show Every Step]
  1. 1 MULTIPLE CHOICE

    What is 15.6 ÷ 1.3?

    1. A12
    2. B1.2
    3. C120
    4. D13
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 2 MULTIPLE CHOICE

    (Lesson 2.6) What is 936 ÷ 12?

    1. A78
    2. B87
    3. C68
    4. D76
    12936
    1. 1DivideHow many fit?
    2. 2MultiplyMultiply back.
    3. 3SubtractWhat is left?
    4. 4Bring downNext digit.
  2. 3 MULTIPLE CHOICE

    (Lesson 2.6) What is 2,485 ÷ 5?

    1. A497
    2. B487
    3. C507
    4. D496
    52485
    1. 1DivideHow many fit?
    2. 2MultiplyMultiply back.
    3. 3SubtractWhat is left?
    4. 4Bring downNext digit.
📐 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
6.NOS.3 Lesson 2-7-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

2.7 · Part II

On-Level Application · Standard Rigor

Divide Decimals · Dividend

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 2.7 · Part II
1Decimal Division Algorithm
2The Structural Procedure
  1. Make the divisor a whole number: slide its decimal point to the right
  2. Slide the dividend's decimal point to the right the same number of places
  3. Write the answer's decimal point in the column directly above the dividend's point, then divide as whole numbers using Divide → Multiply → Subtract → Bring Down
3Mathematical Word Bank
  • Divide Decimals (Dividir decimales) — Find a quotient with decimals by sliding both decimal points right until the divisor is a whole number.
  • 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.
  • Decimal Division Algorithm (Algoritmo de división decimal) — The steps for dividing decimals: slide the divisor's decimal point right until the divisor is a whole number, slide the dividend's point right the same number of places, then divide.
  • Equivalent division (División equivalente) — Multiplying both numbers by 10 or 100 gives the same answer.
4Watch out
  • A common mistake in Divide Decimals is moving the decimal point in the divisor but forgetting to move it the same number of places in the dividend. For example, in 6.4 ÷ 0.8 a student changes 0.8 to 8 but leaves the dividend as 6.4, then divides 6.4 ÷ 8 = 0.8 instead of moving both points to get 64 ÷ 8 = 8. A second version of this mistake happens when the divisor has two decimal places, like 0.12: students move both points only 1 place instead of 2, turning 9.6 ÷ 0.12 into 96 ÷ 1.2 instead of the correct 960 ÷ 12. Count the divisor's decimal places first, then move BOTH points that same number of places.
SECTION 1 COMPUTATION & PROCEDURAL FLUENCY [Show Every Step]
  1. 1 MULTIPLE CHOICE

    What is 4.8 ÷ 0.6?

    1. A8
    2. B0.8
    3. C80
    4. D4.2
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    What is 9.45 ÷ 0.9?

    1. A10.5
    2. B1.05
    3. C105
    4. D9.5
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 MULTIPLE CHOICE

    A water tank holds 19.2 liters. It is poured into bottles that each hold 1.6 liters. How many bottles can be filled?

    1. A12 bottles
    2. B11 bottles
    3. C13 bottles
    4. D1.2 bottles
    ✏️ Workspace & Solution Steps
📐 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
6.NOS.3 Lesson 2-7-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

2.7 · Part II

Extension & Non-Routine Application

Divide Decimals · Dividend

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 2.7 · Part II
1Decimal Division Algorithm
2The Structural Procedure
  1. Make the divisor a whole number: slide its decimal point to the right
  2. Slide the dividend's decimal point to the right the same number of places
  3. Write the answer's decimal point in the column directly above the dividend's point, then divide as whole numbers using Divide → Multiply → Subtract → Bring Down
3Mathematical Word Bank
  • Divide Decimals (Dividir decimales) — Find a quotient with decimals by sliding both decimal points right until the divisor is a whole number.
  • 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.
  • Decimal Division Algorithm (Algoritmo de división decimal) — The steps for dividing decimals: slide the divisor's decimal point right until the divisor is a whole number, slide the dividend's point right the same number of places, then divide.
  • Equivalent division (División equivalente) — Multiplying both numbers by 10 or 100 gives the same answer.
4Watch out
  • A common mistake in Divide Decimals is moving the decimal point in the divisor but forgetting to move it the same number of places in the dividend. For example, in 6.4 ÷ 0.8 a student changes 0.8 to 8 but leaves the dividend as 6.4, then divides 6.4 ÷ 8 = 0.8 instead of moving both points to get 64 ÷ 8 = 8. A second version of this mistake happens when the divisor has two decimal places, like 0.12: students move both points only 1 place instead of 2, turning 9.6 ÷ 0.12 into 96 ÷ 1.2 instead of the correct 960 ÷ 12. Count the divisor's decimal places first, then move BOTH points that same number of places.
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    Find 18.9 ÷ 6.3 using the decimal division algorithm.

    1. A3
    2. B0.3
    3. C30
    4. D2.8
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 2 OPEN RESPONSE

    A gas station sells fuel at $3.45 per gallon. A customer pays $27.60 total. How many gallons did the customer buy? Set up the decimal division, show how to convert it to whole-number division, and solve.

    ✏️ 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