• ## Course 3, Module 5: Applying Powers

In this module, students build on their knowledge of exponents to develop new rules for operating with integer exponents. They will learn how to write, recognize, compare, and operate with numbers expressed in scientific notation. Students will build on their prior experiences with the volume of prisms and pyramids to develop formulas for the volume of cylinders, cones, and spheres.

Topic 1: Exponents and Scientific Notation

• In this topic, students build onto their knowledge writing and evaluated numeric and algebraic expressons with whole number exponents to build fluency with scientific notation. They multiply, divide, add, and subtract numbers expressed in scientific notation to make connections to the exponent rules. Students then compare the relative sizes of, and operate on, numbers expressed in scientific notation and standard form.
• MATHia Workspaces (8)
• Introduction to the Power Rules
• Using the Product Rule and the Quotient Rule
• Using the Power to a Power Rule
• Using the Product to a Power Rule and the Quotient to a Power Rule
• Using Properties of Exponents with Whole Number Powers
• Rewriting Expressions with Negative and Zero Exponents
• Using Scientific Notation
• Comparing Numbers using Scientific Notation

Topic 2: Volume of Curved Figures

• In this topic, students solve real-world and mathematical problems involving volume of cylinders, cones, and spheres. Students explore each figure in turn and determine the formula for the volume of each. They practice applying each formula, and then they solve problems requiring the use of multiple volume formulas.
• MATHia Workspaces (7)
• Relating Volumes of Cylinders, Cones, and Spheres
• Calculating Volume of Cylinders
• Using Volume of Cylinders
• Calculating Volume of Cones
• Using Volume of Cones
• Calculating Volume of Spheres
• Using Volume of Spheres