5.NBT.B.7 Lesson 1-3-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

1.3 · Part II

Supported Application · Guided Entry to Today's Problem

representation · tape diagram

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 1.3 · Part II
1Math Practices: Visual Models & Tools
2Strategy Model — step by step
  1. Select the mathematical tool (tape diagram, number line, grid) that best represents the quantities
  2. Label all parts and units clearly
  3. Connect visual relationships directly to numerical expressions
3Mathematical Word Bank
  • representation (representación) — A picture, diagram, table, or equation that shows the mathematics in a situation.
  • tape diagram (diagrama de cintas) — A rectangle cut into equal parts that helps you visualize how a total breaks apart.
  • tool (herramienta) — Anything you choose to help you see relationships and solve a problem — a table, a diagram, a graph.
  • ordered pair (par ordenado) — Two numbers that go together, like a time and a number of trips, that you can plot as a point.
  • round trip (viaje de ida y vuelta) — A complete journey from the start, to the destination, and back to the start.
4Watch out
  • Converting minutes to hours by moving the decimal point — 625 minutes is NOT 6.25 hours. An hour is 60 minutes, so divide by 60: 625 ÷ 60 ≈ 10.42 hours.
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    Each tram ride carries 80 passengers. How many rides are needed to transport 4,000 passengers?

    1. A50 rides
    2. B500 rides
    3. C320,000 rides
    4. D3,920 rides
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 2 OPEN RESPONSE

    About how many coins are in the picture in your book? Explain how you estimated WITHOUT counting every coin.

    💬 Sentence Starter: First I counted ___ .<br>Then I estimated about ___ because ___ .
    ✏️ Mathematical Justification & Response
  2. 3 OPEN RESPONSE

    How can a tape diagram help you visualize the tram problem of moving 4,000 passengers?

    💬 Sentence Starter: My tape diagram shows ___ .<br>It helps because ___ .
    ✏️ 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
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
5.NBT.B.7 Lesson 1-3-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

1.3 · Part II

On-Level Application · Standard Rigor

representation · tape diagram

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 1.3 · Part II
1Math Practices: Visual Models & Tools
2The Structural Procedure
  1. Select the mathematical tool (tape diagram, number line, grid) that best represents the quantities
  2. Label all parts and units clearly
  3. Connect visual relationships directly to numerical expressions
3Mathematical Word Bank
  • representation (representación) — A picture, diagram, table, or equation that shows the mathematics in a situation.
  • tape diagram (diagrama de cintas) — A rectangle cut into equal parts that helps you visualize how a total breaks apart.
  • tool (herramienta) — Anything you choose to help you see relationships and solve a problem — a table, a diagram, a graph.
  • ordered pair (par ordenado) — Two numbers that go together, like a time and a number of trips, that you can plot as a point.
  • round trip (viaje de ida y vuelta) — A complete journey from the start, to the destination, and back to the start.
4Watch out
  • Converting minutes to hours by moving the decimal point — 625 minutes is NOT 6.25 hours. An hour is 60 minutes, so divide by 60: 625 ÷ 60 ≈ 10.42 hours.
  1. 1 MULTIPLE CHOICE

    The 50 rides take 625 minutes. About how many HOURS is that?

    1. AAbout 10.42 hours
    2. BAbout 6.25 hours
    3. CAbout 62.5 hours
    4. DAbout 12.5 hours
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    How does the answer change for 2,000 passengers? Each ride carries 80 passengers and takes 12.5 minutes. How many MINUTES are needed?

    1. A312.5 minutes
    2. B31.25 minutes
    3. C3,125 minutes
    4. D300 minutes
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    One round trip takes 35 minutes. Using the table (35 → 1, 350 → 10, 525 → 15, 700 → 20), how many round trips does a tram car complete in 10 hours?

    1. A17 round trips
    2. B20 round trips
    3. C15 round trips
    4. D18 round trips
    ✏️ 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
5.NBT.B.7 Lesson 1-3-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

1.3 · Part II

Extension &amp; Non-Routine Application

representation · tape diagram

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 1.3 · Part II
1Math Practices: Visual Models & Tools
2The Structural Procedure
  1. Select the mathematical tool (tape diagram, number line, grid) that best represents the quantities
  2. Label all parts and units clearly
  3. Connect visual relationships directly to numerical expressions
3Mathematical Word Bank
  • representation (representación) — A picture, diagram, table, or equation that shows the mathematics in a situation.
  • tape diagram (diagrama de cintas) — A rectangle cut into equal parts that helps you visualize how a total breaks apart.
  • tool (herramienta) — Anything you choose to help you see relationships and solve a problem — a table, a diagram, a graph.
  • ordered pair (par ordenado) — Two numbers that go together, like a time and a number of trips, that you can plot as a point.
  • round trip (viaje de ida y vuelta) — A complete journey from the start, to the destination, and back to the start.
4Watch out
  • Converting minutes to hours by moving the decimal point — 625 minutes is NOT 6.25 hours. An hour is 60 minutes, so divide by 60: 625 ÷ 60 ≈ 10.42 hours.
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    Apply — What Time Is It? The new year starts at midnight on January 1st. What time will it be 2,022 minutes after midnight?

    1. A9:42 a.m. on January 2
    2. B8:22 p.m. on January 1
    3. C9:42 a.m. on January 1
    4. D9:42 p.m. on January 2
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    How many rides would the tram need for 10,000 passengers, at 80 passengers per ride?

    1. A125 rides
    2. B1,250 rides
    3. C12.5 rides
    4. D250 rides
    per 1
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 3 OPEN RESPONSE

    The lesson says we make strategic decisions about which tool to use. For the 10-hour round-trip question, would you choose a table of values, a coordinate plane, or an equation? Defend your choice.

    ✏️ 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