6.AT.11 Lesson 9-2-part2 Apply Day · Set B
MASTERY CHECK
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9.2 · Part II

Second Practice Form · Independent Application and Spiral Review

graph · table of values

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 9.2 · Part II
1Representing Two-Variable Relationships with Tables & Graphs
2The Structural Procedure
  1. Construct table: Put independent variable in column 1 (x) and dependent in column 2 (y)
  2. Identify the rate of change or rule connecting x to y
  3. Plot the ordered pairs on the coordinate plane with x on horizontal axis and y on vertical
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 MULTIPLE CHOICE

    The ticket table and ticket graph are two representations. Which statement about them is true?

    1. AThe graph shows a different relationship than the table
    2. BOnly the table can show that cost increases with tickets
    3. COnly the graph is a real mathematical representation
    4. DBoth show the same relationship — the table with numerical values, the graph in a more visual way
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 2 MULTIPLE CHOICE

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

    1. AThe graph is unfinished
    2. BDashed lines always mean the cost is decreasing
    3. CThe ticket price changes between points
    4. DYou can only buy whole numbers of tickets, so the points between whole numbers do not make sense
    ✏️ Workspace & Solution Steps
  2. 3 MULTIPLE CHOICE

    After 10 minutes, the Sandia Peak tram has traveled 12,000 feet. The whole ascent is 18,000 feet. How much farther must it travel to reach the top?

    1. A1,200 feet
    2. B5,000 feet
    3. C6,000 feet
    4. D12,000 feet
    ✏️ Workspace & Solution Steps
  3. 4 MULTIPLE CHOICE

    A second tram travels 900 feet per minute. If both trams are graphed on the same axes (minutes vs. feet), how do the graphs compare?

    1. AThe 900 ft/min line rises more steeply
    2. BThe two lines are identical
    3. CThe Sandia Peak line (1,200 ft/min) rises more steeply than the 900 ft/min line
    4. DThe 900 ft/min line goes downward
    ✏️ Workspace & Solution Steps
  4. 5 MULTIPLE CHOICE

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

    1. A$45
    2. B$48
    3. C$90
    4. D$135
    ✏️ Workspace & Solution Steps
  5. 6 MULTIPLE CHOICE

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

    1. A(2, 90)
    2. B(2, 45)
    3. C(2, 47)
    4. D(90, 2)
    ✏️ Workspace & Solution Steps
  6. 7 MULTIPLE CHOICE

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

    1. ANumber of tickets and price of one ticket
    2. BNumber of tickets and total cost
    3. CTotal cost and $45
    4. DNumber of games and number of tickets
    ✏️ 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