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In this chapter, you will learn why it is important to identify a reference frame in order to clearly describe motion. For now, the motion you describe will be one-dimensional. Within this context, you will learn the difference between distance and displacement as well as the difference between speed and velocity. Then you will look at some graphing and problem-solving techniques.

By the end of this short course, you will be able to:

• Multiply integers
• Divide integers
• Simplify expressions with integers
• Evaluate variable expressions with integers
• Translate English phrases to algebraic expressions
• Use integers in applications

• Use positive and negative numbers to represent quantities in multiple contexts.
• Explain the meaning of positive values, negative values, and zero, in multiple contexts.
• Describe the location of a point on a number line with respect to another number.
• Describe the location of a point on a number line with respect to its opposite
• Define the absolute value of a number as its distance from zero.
• Interpret inequality statements as statements about the relative position of two integers on a number line diagram.

Video 1: Plotting inequalities
Online activity 1: Inequalities from a graph
Online activity 2: Plotting inequalities
Video 2: Testing solutions to inequalities
Online activity 3: Testing solutions to inequalities
Video 3: Examples of one-step inequalities
Video 4: Further examples of one-step inequalities
Video 5: One-step inequality word problem
Online activity 4: One-step inequalities
Online summary and review: Online review and summary of one-step inequalities
 

Outcomes

In this unit you will learn that: 

• Osmosis is the movement of a liquid from an area of high concentration to an area of low concentration until it reaches equilibrium.

The particle model of matter is one of the most useful scientific models because it describes matter in all three states. Understanding how the particles of matter behave is vital if we hope to understand science!

The model also helps us to understand what happens to the particles when matter changes from one state to another.

In this unit, you will explore the three phases of matter and then look at the properties and differences between them. You will explore their shape, volume, and kinetic energy.

Photoelectric materials emit electrons when they absorb light of a high-enough frequency.

Using position-time graphs and number lines to find displacement and distance traveled.

This lesson will be the first of six lessons guiding students in constructing the abstract concepts necessary to understand adding positive and negative integers. It is designed for adult learners (or middle school or older) who are not fluent with using numbers. A real life lesson will be included in this series of lessons-Budgeting.