Product and Quotient Properties of Exponents
This lesson helps students understand two foundational exponential properties: The Product and Quotient Properties of Exponents. Students will collaborate to formulate a rule for these properties. Ultimately, students should conclude that when the same bases are being multiplied, exponents will be added; and when the same bases are being divided, exponents will be subtracted. As the lesson progresses, students will apply these rules to simplify expressions of various difficulties.
Using Linear Equations to Count Pecans
Students will write linear equations in point-slope form given two points via a verbal description.
Teacher instructing
Working with Literal Equations
The lesson will provide a conceptual basis for illustrating the parallelism between solving multi-step equations and translating literal equations into solutions for specified variables.
Students working together
Can We Get There?
Students will calculate the rate of change and y-intercept from a real-world problem represented in a graph, a table, and/or an equation. They will then display and present their findings to the class.
Students working in their group
No Interest If Paid in Full: How Much Do I Owe?
Students will write a linear equation from a real-world situation, identify the components of the equation, and interpret their meanings in the problem’s context.
Students working on task
6 Chapter 3: Kinematics
In this chapter, we analyze the motion of constantly accelerated objects over time in terms of displacement, velocity, and acceleration.
5 Chapter 6: Waves
In this chapter, we explore the mathematical concept of a wave and show how this concept can be used to accurately describe and predict many natural phenomena.
3 Chapter 7: Static Electricity
In this chapter, we explore how electrically charged particles interact through electrostatic forces and fields.
3 Chapter 1: Nature of Science and Scientific Ethics
In this chapter, we explore the nature of science itself, including its practice, ethics, and impact.
5 Chapter 2: Tools of Physics
In this chapter, we discuss several ideas and tools that will be helpful in our introductory study of physics.
5 Chapter 4: Newton's Laws and Momentum
In this chapter, we introduce Newton's laws, and then explore the concepts of momentum and conservation of momentum.
7 Chapter 5: Conservation of Energy and Gravitation
In this chapter, we explore a formulation of classical physics in the context of energy rather than force, and we explore the concept of gravitation in more universally applicable detail.
5 Chapter 8: Circuits and Magnetism
In this chapter, students will learn introductory concepts surrounding electricity and magnetism.
7 Chapter 9: Special Topics
In this chapter, we present several special topics that may arise in the study of physics.
6 Chapter 10: Equipment and Experiments
In this chapter, we demonstrate the use of various laboratory equipment.
4 OnTRACK Grade 7 Math: Number and Operations
Students will learn how to apply mathematical process standards to represent and use real numbers in a variety of forms.
19 OnTRACK Grade 7 Math: Proportionality
Students will learn to use proportional relationships to describe dilations; to explain proportional and non-proportional relationships involving slope; and to use proportional and non-proportional relationships to develop foundational concepts of functions.
7 OnTRACK Grade 7 Math: Expressions, Equations, and Relationships
Students will learn to develop mathematical relationships and make connections to geometric formulas; use geometry to solve problems; use one-variable equations or inequalities in problem situations; and use multiple representations to develop foundational concepts of simultaneous linear equations.
4 OnTRACK Grade 8 Math: Number and Operations
Students will learn how to apply mathematical process standards to represent and use real numbers in a variety of forms.
11 OnTRACK Grade 8 Math: Proportionality
Students learn to to use proportional relationships to describe dilation; explain proportional and non-proportional relationships involving slope; and use proportional and non-proportional relationships to develop foundational concepts of functions.