MPP.3 Lesson 10-1-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

10.1 · Part II

Supported Application · Guided Entry to Today's Problem

profession · inventory

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 10.1 · Part II
1Mathematical Modeling in Careers & Daily Life
2Strategy Model — step by step
  1. Frame real-world problems mathematically using rates, percentages, and geometry
  2. Collect and analyze data to optimize decisions and resource allocation
  3. Communicate quantitative findings clearly with equations and visual models
3Mathematical Word Bank
  • profession (profesión) — A job someone is trained to do, like chef, nurse, or carpenter.
  • inventory (inventario) — The supply of items a business keeps on hand, tracked by counting.
  • portion (porción) — The measured amount of food served to one person.
  • area (área) — The amount of flat space a surface covers, measured in square units.
  • volume (volumen) — The amount of space something fills, measured in cubic units.
4Watch out
  • Believing math only 'counts' when it happens in a classroom — and walking past the calculating, measuring, and projecting inside jobs, hobbies, and chores every day.
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    Which of these is NOT one of the ways chefs use math when planning menus?

    1. AChoosing the color of the restaurant's walls
    2. BCalculating the price point for each item
    3. CDeciding on the portion size of each item
    4. DProjecting how much food is needed for each day
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 2 OPEN RESPONSE

    Name one task a chef does that uses math, and say what math is inside it.

    💬 Sentence Starter: A chef uses math when they ___ .<br>The math inside it is ___ .
    ✏️ Mathematical Justification & Response
  2. 3 OPEN RESPONSE

    Name one way you used math around your house this week.

    💬 Sentence Starter: At home I used math when I ___ .<br>It was math because I had to ___ .
    ✏️ 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
MPP.3 Lesson 10-1-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

10.1 · Part II

On-Level Application · Standard Rigor

profession · inventory

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 10.1 · Part II
1Mathematical Modeling in Careers & Daily Life
2The Structural Procedure
  1. Frame real-world problems mathematically using rates, percentages, and geometry
  2. Collect and analyze data to optimize decisions and resource allocation
  3. Communicate quantitative findings clearly with equations and visual models
3Mathematical Word Bank
  • profession (profesión) — A job someone is trained to do, like chef, nurse, or carpenter.
  • inventory (inventario) — The supply of items a business keeps on hand, tracked by counting.
  • portion (porción) — The measured amount of food served to one person.
  • area (área) — The amount of flat space a surface covers, measured in square units.
  • volume (volumen) — The amount of space something fills, measured in cubic units.
4Watch out
  • Believing math only 'counts' when it happens in a classroom — and walking past the calculating, measuring, and projecting inside jobs, hobbies, and chores every day.
  1. 1 MULTIPLE CHOICE

    One person saves 8 gallons of water a day by turning the water on only to rinse. How much water does that person save in a year (365 days)?

    1. A2,920 gallons
    2. B373 gallons
    3. C1,460 gallons
    4. D365 gallons
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    If each person in a house saves 2,920 gallons a year, how much does a household of 3 people save in a year?

    1. A8,760 gallons
    2. B2,923 gallons
    3. C973 gallons
    4. D5,840 gallons
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    A household of 5 saves 2,920 gallons per person per year. A household of 4 does the same. How much MORE does the household of 5 save than the household of 4?

    1. A2,920 gallons
    2. B14,600 gallons
    3. C11,680 gallons
    4. D1 gallon
    per 1
📐 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
MPP.3 Lesson 10-1-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

10.1 · Part II

Extension &amp; Non-Routine Application

profession · inventory

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 10.1 · Part II
1Mathematical Modeling in Careers & Daily Life
2The Structural Procedure
  1. Frame real-world problems mathematically using rates, percentages, and geometry
  2. Collect and analyze data to optimize decisions and resource allocation
  3. Communicate quantitative findings clearly with equations and visual models
3Mathematical Word Bank
  • profession (profesión) — A job someone is trained to do, like chef, nurse, or carpenter.
  • inventory (inventario) — The supply of items a business keeps on hand, tracked by counting.
  • portion (porción) — The measured amount of food served to one person.
  • area (área) — The amount of flat space a surface covers, measured in square units.
  • volume (volumen) — The amount of space something fills, measured in cubic units.
4Watch out
  • Believing math only 'counts' when it happens in a classroom — and walking past the calculating, measuring, and projecting inside jobs, hobbies, and chores every day.
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    Each person saves 2,920 gallons a year. Which correctly compares households of 3, 4, 5, and 8 people?

    1. A8,760 · 11,680 · 14,600 · 23,360 gallons
    2. B8,760 · 11,680 · 14,600 · 20,440 gallons
    3. C2,923 · 2,924 · 2,925 · 2,928 gallons
    4. D8,760 · 11,680 · 14,600 · 46,720 gallons
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    A chef expects 120 customers tonight and projects that 1 out of every 4 will order the soup. Each serving of soup uses 2 cups of broth. How much broth should the chef prepare?

    1. A60 cups
    2. B240 cups
    3. C30 cups
    4. D15 cups
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 3 OPEN RESPONSE

    Someone says, 'Math is just a school subject. I'll never use it after class.' Using the chef, the gardener, or the water problem, write what you would say back.

    ✏️ 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