Math behind the science

Discusses the mathematical tools and techniques that scientists use to gather, analyze and interpret data. Explains ratios, how to use them to make a scale model, and how to recognize patterns in ratio tables. Explores how scientists use sonar to map the seafloor. Teaches how to use patterns on graphs to make predictions.

Examines the concept of probability and how scientists use math as a tool to predict the likelihood of certain events.

Discusses how simple shapes are the building blocks of complex patterns and structures, and describes shapes that appear in objects made by people and objects made by nature.

Discusses how scientists use reasoning and logical thinking to do their work. Explains how Venn diagrams provide a logical way to classify data. Teaches how to recognize valid conclusions by examining if-then statements. Explains how to interpret graphs to explain relationships between different living things, and how changes in environments can be influenced by humans.

Discusses the tools and math strategies that scientists use to work with large numbers, explores how the strategies of estimating and rounding make large numbers easier to work with, and identifies some uses of supercomputers.

Looks at how scientists use math as a tool to understand data, identifies systems used to make measurements, and describes situations in which using estimates is most practical.

Examines how scientists use number sense to find answers, explains how benchmarks are helpful, describes situations in which mental math can help, and shows how to judge the reasonableness of answers to everyday problems involving math.