6.AT.11 Lesson 9-2-group1 🟡 Group 1 · Support & Scaffolding
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

9.2 Small Group · Group 1

Tier 2 Intervention · Concrete-Representational-Abstract (CRA) · Dual-Language Anchors

graph · table of values · Procedural Fluency · Real-World Applications

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — Two pictures of the same relationship
1Each row of the table becomes one ordered pair — (independent variable, dependent variable) — plotted as one point on the graph.
  • A table shows a relationship with numbers. A graph shows the same relationship with points. Reading either one tells you how the dependent variable responds to the independent variable. We'll walk through a worked example, try one together, then you'll try a few with hints right there when you need them.
2Worked Example — Watch me build the ticket graph
  1. Each ticket costs $45, so the total cost is 45 times the number of tickets: 1 ticket is $45, 2 tickets are $90, 3 tickets are $135.
  2. The number of tickets is the independent variable, so it goes first in each ordered pair: (1, 45), (2, 90), (3, 135).
  3. I label one axis 'Number of tickets' and the other 'Total cost ($)', then plot each pair as a point.
  4. The points rise to the right: as the number of tickets increases, the total cost increases.
3Mathematical Word Bank
  • graph (gráfica) — A picture on a coordinate plane that shows how two quantities are related.
  • table of values (tabla de valores) — A list of matched pairs of values that shows a relationship using numbers.
  • ordered pair (par ordenado) — Two numbers written as (x, y) that name one point on a graph. The independent variable comes first.
  • axis (eje) — One of the two number lines that frame a graph. Each axis is labeled with a quantity from the problem.
  • coordinates (coordenadas) — The numbers in an ordered pair that tell how far to move along each axis to reach a point.
4Watch out
  • Reversing the coordinates of a point — writing (cost, tickets) instead of (tickets, cost). The independent variable always comes first in the ordered pair.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 DRAG SORT

    Sort each ordered pair (tickets, cost): on the graph, or not?

    Target Categories: On the ticket graph NOT on the graph
    • (1, 45)
    • (2, 90)
    • (4, 180)
    • (3, 120)
    • (2, 100)
    • (5, 200)
  2. 2 FILL TABLE

    Tickets cost $45 each. Complete the table that feeds the graph.

    Tickets (x)ThinkingTotal cost in dollars (y)
    2
    5
    8
    ✏️ Scratchpad / Reasoning
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 MULTIPLE CHOICE

    Football tickets cost $45 each. What is the total cost of 3 tickets?

    1. A$135
    2. B$48
    3. C$90
    4. D$45
    ✏️ Workspace & Solution Steps
  2. 4 MULTIPLE CHOICE

    Which ordered pair belongs on the ticket graph for 2 tickets?

    1. A(2, 90)
    2. B(90, 2)
    3. C(2, 45)
    4. D(2, 47)
    ✏️ Workspace & Solution Steps
  3. 5 MULTIPLE CHOICE

    On the ticket graph, what should the two axes be labeled?

    1. ANumber of tickets and total cost
    2. BNumber of tickets and price of one ticket
    3. CTotal cost and $45
    4. DNumber of games and number of tickets
    ✏️ Workspace & Solution Steps
  4. 6 MULTIPLE CHOICE

    The Sandia Peak tram travels 1,200 feet each minute. How far has it traveled after 3 minutes?

    1. A3,600 feet
    2. B1,203 feet
    3. C2,400 feet
    4. D1,200 feet
    ✏️ Workspace & Solution Steps
✍️ The Writing Revolution (TWR) · Sentence Expansion Because · But · So

Complete each sentence stem to demonstrate precise mathematical reasoning:

BECAUSE The ratio remains equivalent because both quantities are scaled by the exact same multiplicative factor.
BUT Two ratios may look similar, but inverting the order of terms fundamentally changes the comparison.
SO The recipe requires 3 parts flour to 2 parts water, so the unit rate is 1.5 cups of flour per cup of water.
📐 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