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

9.2 Small Group · Group 1

Second Practice Form · Re-Teach, Homework or Retake · Same Standard, New Problems

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.
  1. 1 MULTIPLE CHOICE

    A table shows a train traveling 48 kilometers every hour: 1 hour, 48 km; 5 hours, 240 km. How many kilometers does it travel in 2 hours?

    1. A96 km
    2. B50 km
    3. C48 km
    4. D144 km
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    As the number of tickets purchased increases, the total cost…

    1. Aincreases
    2. Bdecreases
    3. Cstays the same
    4. Dcannot be determined
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    The Sandia Peak tram travels 1,200 feet each minute and the ascent takes 15 minutes. How long is the whole ascent in feet?

    1. A18,000 feet
    2. B1,215 feet
    3. C12,000 feet
    4. D16,800 feet
    ✏️ Workspace & Solution Steps
  4. 4 MULTIPLE CHOICE

    On the tram graph with minutes on the horizontal axis and feet on the vertical axis, which ordered pair lies on the graph?

    1. A(5, 6000)
    2. B(6000, 5)
    3. C(5, 1200)
    4. D(5, 5000)
    ✏️ Workspace & Solution Steps
  5. 5 MULTIPLE CHOICE

    A table pairs hours with kilometers: (1, 48), (2, 96), (5, 240). How many kilometers are traveled each hour?

    1. A48
    2. B96
    3. C240
    4. D24
    ✏️ Workspace & Solution Steps
  6. 6 MULTIPLE CHOICE

    Why is the line on the football ticket graph dashed instead of solid?

    1. AYou can only buy whole numbers of tickets, so the points between whole numbers do not make sense
    2. BThe graph is unfinished
    3. CDashed lines always mean the cost is decreasing
    4. DThe ticket price changes between points
    ✏️ 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
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