6.DS.4 Lesson 2-3-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

2.3 · Part II

Supported Application · Guided Entry to Today's Problem

Describe the Data Using the Median · Median

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 2.3 · Part II
1Measures of Center: Median
2Strategy Model — step by step
  1. Order all data values from least to greatest
  2. Odd count: The median is the exact center number
  3. Even count: The median is the mean of the two middle numbers
3Mathematical Word Bank
  • Describe the Data Using the Median (Describir los datos con la mediana) — Using the middle value of the ordered data to say what is typical for the whole set.
  • Median (Mediana) — The middle number when you put them in order.
  • Mode (Moda) — The number that shows up most often.
  • Outlier (Valor atípico) — A number that is much bigger or smaller than the rest.
  • Data distribution (Distribución de datos) — How the data looks: where it sits and how spread out it is.
  • Variability (Variabilidad) — How spread out the numbers are.
4Watch out
  • A common mistake in Mean, Median, and Mode is finding the median without ordering the data first — students pick the middle number straight from the list as given (for 9, 4, 7, 2, 6 they say the median is 7, the middle position in that original order) instead of sorting least to greatest (2, 4, 6, 7, 9) and finding the true middle value, 6. Before finalizing a median, always reorder the data smallest to largest, then count to the middle position — and if there is an even number of values, average the two middle numbers.
  1. 1 MULTIPLE CHOICE

    Find the mean of: 6, 8, 10, 12, 14

    1. A10
    2. B8
    3. C12
    4. D50
    Put the data in order
    Work
    1. 1OrderSmallest to largest.
    2. 2CountHow many values?
    3. 3LocateMiddle, or add and divide.
    4. 4AnswerSay which measure it is.
  2. 2 MULTIPLE CHOICE

    (Lesson 2.1) Which of the following is a statistical question?

    1. AHow many points did each player score this season?
    2. BHow many points are scored for a free throw?
    3. CWhat sport does this team play?
    4. DHow many halves are in a soccer game?
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    (Lesson 2.1) Which question is NOT a statistical question?

    1. AHow many innings are in a baseball game?
    2. BHow many home runs did each player hit this year?
    3. CHow many miles does each runner train per week?
    4. DHow tall is each player on the basketball team?
    ✏️ 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.DS.4 Lesson 2-3-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

2.3 · Part II

On-Level Application · Standard Rigor

Describe the Data Using the Median · Median

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 2.3 · Part II
1Measures of Center: Median
2The Structural Procedure
  1. Order all data values from least to greatest
  2. Odd count: The median is the exact center number
  3. Even count: The median is the mean of the two middle numbers
3Mathematical Word Bank
  • Describe the Data Using the Median (Describir los datos con la mediana) — Using the middle value of the ordered data to say what is typical for the whole set.
  • Median (Mediana) — The middle number when you put them in order.
  • Mode (Moda) — The number that shows up most often.
  • Outlier (Valor atípico) — A number that is much bigger or smaller than the rest.
  • Data distribution (Distribución de datos) — How the data looks: where it sits and how spread out it is.
  • Variability (Variabilidad) — How spread out the numbers are.
4Watch out
  • A common mistake in Mean, Median, and Mode is finding the median without ordering the data first — students pick the middle number straight from the list as given (for 9, 4, 7, 2, 6 they say the median is 7, the middle position in that original order) instead of sorting least to greatest (2, 4, 6, 7, 9) and finding the true middle value, 6. Before finalizing a median, always reorder the data smallest to largest, then count to the middle position — and if there is an even number of values, average the two middle numbers.
  1. 1 MULTIPLE CHOICE

    Data set: 4, 6, 6, 8, 10, 12. What is the median?

    1. A7
    2. B6
    3. C8
    4. D7.67
    Put the data in order
    Work
  2. 2 MULTIPLE CHOICE

    A player scored 4, 8, 6, 10, and 2 points across five quarters. What is the MEAN number of points?

    1. A6
    2. B8
    3. C30
    4. D10
    Put the data in order
    Work
  3. 3 MULTIPLE CHOICE

    A goalie made 3, 7, 9, 2, and 5 saves in five games. What is the MEDIAN number of saves?

    1. A5
    2. B9
    3. C7
    4. D2
    Put the data in order
    Work
📐 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.DS.4 Lesson 2-3-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

2.3 · Part II

Extension & Non-Routine Application

Describe the Data Using the Median · Median

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 2.3 · Part II
1Measures of Center: Median
2The Structural Procedure
  1. Order all data values from least to greatest
  2. Odd count: The median is the exact center number
  3. Even count: The median is the mean of the two middle numbers
3Mathematical Word Bank
  • Describe the Data Using the Median (Describir los datos con la mediana) — Using the middle value of the ordered data to say what is typical for the whole set.
  • Median (Mediana) — The middle number when you put them in order.
  • Mode (Moda) — The number that shows up most often.
  • Outlier (Valor atípico) — A number that is much bigger or smaller than the rest.
  • Data distribution (Distribución de datos) — How the data looks: where it sits and how spread out it is.
  • Variability (Variabilidad) — How spread out the numbers are.
4Watch out
  • A common mistake in Mean, Median, and Mode is finding the median without ordering the data first — students pick the middle number straight from the list as given (for 9, 4, 7, 2, 6 they say the median is 7, the middle position in that original order) instead of sorting least to greatest (2, 4, 6, 7, 9) and finding the true middle value, 6. Before finalizing a median, always reorder the data smallest to largest, then count to the middle position — and if there is an even number of values, average the two middle numbers.
  1. 1 MULTIPLE CHOICE

    Find the median of this data set: 12, 7, 15, 9, 20, 11, 8.

    1. A11
    2. B9
    3. C15
    4. D12
    Put the data in order
    Work
📐 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