MPP.3 Lesson 10-1-group2 🟣 Group 2 · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

10.1 Small Group · Group 2

Second Challenge Form · Non-Routine Extension · Same Standard, New Problems

profession · inventory · Procedural Fluency · Real-World Applications

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: Push further — Math is an integral part of nearly every profession
1People use math every day in their professions and their hobbies — and it is a good tool for solving problems around your house, too — and you can say why it is true, and where it would stop being true.
  • You already can do this. So we go up a level, not up a number: find what is always true, show it a second way, and be ready to defend it with a reason instead of an answer.
2Worked Example — Watch me find the math in a chef's day
  1. When chefs plan menus, they determine the number of items on the menu and calculate the price point for each item.
  2. They decide on the portion size of each item and project how much food is needed for each day.
  3. They calculate how much of each ingredient to order — that is counting, measuring, and multiplying, all before a single dish is cooked.
3Second Model — Try it together — then prove it
  1. A planter that is 4 feet long and 2 feet wide has an area of 4 × 2 = 8 square feet — that tells us how many plants fit.
  2. If the soil needs to be 1 foot deep, the volume is 4 × 2 × 1 = 8 cubic feet — that tells us how much soil to buy.
  3. Gardeners also measure seed depth and the distance between seeds. What other garden decisions need math?
  4. Now prove it: say why that move had to work at all — not just that it did.
  5. Sentence frame — convince a skeptic: "My method works because ___ . It would stop working if ___ ."
4Mathematical 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.
5Watch 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

    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
  2. 2 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
  3. 3 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
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 4 ERROR ANALYSIS

    Fix our table's thinking

    1. 1The problem:Which statement matches this lesson's big idea?
    2. 2A classmate at our table answered:Math is only useful for people who work with money

    Which step contains the error? Explain the mathematical misconception and write the correct calculation below.

    ✏️ Corrected Mathematical Work & Explanation
  2. 5 OPEN RESPONSE

    One person saves 8 gallons of water a day, so a household of 3 saves 8,760 gallons a year. A classmate concludes: 'Then a household of 6 saves twice as much — 17,520 gallons.' The arithmetic is correct. Is the CONCLUSION safe? Name one thing about a real house that could make it wrong.

    ✏️ Mathematical Justification & Response
  3. 6 OPEN RESPONSE

    A chef, a gardener, and a plumber all use mathematics, but they would not all reach for the same tool. Pick TWO of them, describe one problem each actually has to solve, and say which representation — a table, an equation, or a scale drawing — you would hand each one, and why that one and not the others.

    ✏️ 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