2016-2017 Curriculum Blueprint
Grade: 9-12
Course: Algebra 1
Approximate Time:
4 Days
Module 8: Multi-Variable Categorical Data
Learning Goal
The student is expected to summarize and
interpret categorical data and relative frequencies,
as well as recognize association and trends in data.
Essential Questions
1.
2.
3.
How can categorical data for two categories be
summarized?
How can you use multi-variable categorical data to
solve real world problems?
How can you recognize possible associations and trends
between two categories of categorical data?
Unit Overview
This unit focuses on statistical models for bivariate categorical
and quantitative data. The unit addresses representing,
measuring, and interpreting data, as well as determining
categorical data and interpreting numerical data on two
variables.
Vertical Progression
MAFS.8.SP.1.4 In Grade 8, students understood that patterns of association can also be seen in bivariate categorical data, constructed and interpreted a two-way table summarizing
data of two categorical variables collected from the same subjects, and used relative frequencies calculated for rows or columns to describe possible association.
Module Focus Standards
Module Topics
Algebra 1 Test Item Specifications (Reference Sheet at End)
High School Flip Book
MAFS.9-12.S-ID.2.5 (DOK 2) Summarize categorical data for two categories in
two-way frequency tables. Interpret relative frequencies in the context of the
data (including joint, marginal, and conditional relative frequencies). Recognize
possible associations and trends in the data. (conceptual) Quick Reference Sheet
 Recognize the differences between joint, marginal, and conditional relative
frequencies.
 Calculate relative frequencies including joint, marginal, and conditional
relative frequencies.
 Summarize categorical data for two categories in two-way frequency tables.
 Interpret relative frequencies in the context of the data.
 Recognize possible associations and trends in the data.
Two Way Frequency Tables (S-ID.2.5)
Resources:
 Lesson 8.1 (HMH Book)
 Module 2 Lesson 9 - Engage NY
Mathematical Practices
Link to Mathematical Practice Standards Rubric
MAFS.K12.MP.4.1: Model with mathematics.
MAFS.K12.MP.7.1: Look for and make use of structure.
Formative Assessments:
 Lesson Performance Task (HMH pg. 358)
Relative Frequency (S-ID.2.5)
Resources:
 Lesson 8.2 (HMH Book)
 Module 2 Lesson 10 - Engage NY
 Module Lesson 11 - Engage NY:
 Devising a Measure: Correlation - MARS
Formative Assessments:
 Lesson Performance Task (HMH pg. 370)
 Conditional Relative Frequency - CPALMS
 Marginal and Joint Frequency - CPALMS
 Assessment Readiness (HMH pg. 374)
Essential Vocabulary
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quantitative data
categorical data
two way frequency table
relative frequency
joint relative frequency
marginal relative frequency
conditional relative frequency
Higher Order Question Stems
 How would you represent…...?
 How has your model served its purpose?
 What observations can you make about…?
Writing Connections
 Write to explain the observations made
Link to Webb’s DOK Guide