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The Algebra 1 Teacher's guide to the Common Core State Standards for Mathematics.

# Statistics

## Common Core Says...

Decisions or predictions are often based on data—numbers in context. These decisions or predictions would be easy if the data always sent a clear message, but the message is often obscured by variability. Statistics provides tools for describing variability in data and for making informed decisions that take it into account.

## Standards for Mathematical Practice

3 — Construct Viable Arguments and Critique the Reasoning of Others

"Distinguish correct logic or reasoning from that which is flawed."

Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose.

Illustrative Mathematics - Standards for Mathematical Practice

## There are daily plans with Common Core aligned lessons. You will find these within each week. Please take a look!

Week 11 Representing Data

• Create dot plots, histograms, and box plots S.ID.1
• Understand and compare mean, median, interquartile range, and standard deviation and how it creates the shapes of graphs S.ID.2

#### Week 12Outliers and Frequency

• Understand extreme data points. How and why they exist and what they mean S.ID.3
• Use two-way frequency tables in the contect of data to predict trends and predict future events. This includes joint, marginal and conditional joint frequencies. S.ID.5

#### Week 13Reporting Quantities

• Use units, appropriate quantities, and a level of accuracy to solve problems. N.Q.1, 2, 3

## Lesson Ideas

All of these resources and more can be found in the livebinder below.

## Common Core Standards

S.ID.1 Represent data with plots on the real number line (dot plots, histograms, and box plots).

S.ID.2 Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.

S.ID.3 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).

S.ID.5 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.

N.Q.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.*

N.Q.2 Define appropriate quantities for the purpose of descriptive modeling.*

N.Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

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