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Brilliant

Everyday Math

via Brilliant

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Overview

Our journey starts with fractions, percents, and ratios in everyday contexts. Interactive problems and intuitive visuals help you see numeric quantities and their relationships in a new light.

This course then turns to the most common ways to visualize and interpret datasets. By the end, you'll be using bar charts, histograms, line graphs, and scatter plots to reason about data.

By revisiting topics ranging from fractions and percents to standard deviation, you will reinforce the foundations of your mathematical knowledge and sharpen your problem solving skills.


This course empowers you to continue pursuing your STEM learning goals with mathematical readiness and renewed confidence.

Syllabus

  • Balancing the Mean
    • Means: Find the average of a dataset at a glance.
    • Finding Means: This visual approach isn't taught in school.
    • Adding Data: Find the overall mean of several groups with this simple argument.
    • Predicting Means: Develop intuition about when new data changes the mean.
    • Totals: Learn a powerful relationship that is often overlooked.
  • Working with Data
    • Bar Charts: Dive in with data tables and bar charts.
    • Line Graphs: Dive in with data tables and line graphs.
    • Scatter Plots: Gain experience with scatter plots.
    • Linear Regression: Use a best-fit line and linear regression to analyze movie data.
    • Nonlinear Relationships: Analyze data that does not have a linear best-fit line.
    • Working with Data Capstone: Write a short and precise evaluation of a dataset.
  • The Shape of Data
    • Making Histograms: Look at the shape of data with a histogram.
    • Common Distribution Shapes: Recognize a few common distribution shapes.
    • Changing Bin Size: Change the bin size to get a better look at data.
    • Range: Use the range to calculate the spread of data.
    • Variance: Finding the variance sets us up to find standard deviation.
    • Standard Deviation: The standard deviation measures the spread of a dataset.
    • Changing the Mean: Outliers boost the mean.
    • The Median: The median handles outliers better.
    • Quartiles: Quartiles split the data into four parts.
    • Box and Whisker Plots: Add a crucial tool for comparing datasets to your toolbox.
    • Reading Box and Whisker Plots: Box and whisker plots help us picture the essential features of datasets.
    • Comparing Box and Whisker Plots: Compare several datasets using box and whisker plots.
  • Introduction
    • Fractions and Data: Recognize fractions in everyday situations.
    • Visualizing Fractions: Use geometric shapes to think strategically about fractions.
    • Fraction Grids: Join us on a visual tour of fraction grids, bars, and number lines.
  • Fractions
    • Equivalent Fractions: Recognize fractions that represent the same quantity.
    • Fraction Operations: Start adding fractions with confidence.
    • Percents: Apply percents in everyday situations.
  • Exponents
    • Place Value: Break up and rebuild numbers using powers of ten.
    • Introducing Exponents: Discover the power of exponential growth.
    • Scientific Notation: Explore a powerful new way of representing quantities large and small.

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