6.AT.11 Lesson 9-2-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

9.2 · Part II

Supported Application · Guided Entry to Today's Problem

graph · table of values

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 9.2 · Part II
1Representing Two-Variable Relationships with Tables & Graphs
2Strategy Model — step by step
  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.
  1. 1 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
  2. 2 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
  3. 3 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
📐 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
6.AT.11 Lesson 9-2-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

9.2 · Part II

On-Level Application · Standard Rigor

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.
  1. 1 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
  2. 2 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
  3. 3 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
📐 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
6.AT.11 Lesson 9-2-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

9.2 · Part II

Extension & Non-Routine Application

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.
  1. 1 MULTIPLE CHOICE

    A stadium shuttle carries fans from the parking lot. The table pairs the number of trips with the total fans carried: 2 trips with 96 fans, 5 trips with 240 fans, and 8 trips with 384 fans. On a graph with trips on the horizontal axis and fans on the vertical axis, which ordered pair belongs to 3 trips?

    1. A(3, 51)
    2. B(3, 144)
    3. C(144, 3)
    4. D(3, 48)
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Nakai's savings account has a principal of $750 and earns 3.5% simple interest each year. How much interest does Nakai earn in one year?

    1. A$26.25
    2. B$262.50
    3. C$3.50
    4. D$75.00
    0%50%100%
    Work
  3. 3 MULTIPLE CHOICE

    Nakai earns $26.25 in simple interest every year. On the graph of years vs. interest earned, which point represents 4 years?

    1. A(4, 105)
    2. B(4, 26.25)
    3. C(4, 78.75)
    4. D(4, 750)
    ✏️ 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