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In this chapter, we’ll use vectors to expand our understanding of forces and motion into two dimensions. Most real-world physics problems (such as with the game of pool pictured here) are, after all, either two- or three-dimensional problems and physics is most useful when applied to real physical scenarios. We start by learning the practical skills of graphically adding and subtracting vectors (by using drawings) and analytically (with math). Once we’re able to work with two-dimensional vectors, we apply these skills to problems of projectile motion, inclined planes, and harmonic motion.

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

This video explores how to multiply decimals by 10, 100, 1000 etc

Video 1: Understanding decimal multiplication
Video 2: Multiplying decimals using estimation
Video 3: Developing strategies for multiplying decimals
Video 4: Developing strategies for multiplying 2-digit decimals
Online activity 1: Drag and drop the product answer to match the correct expression
Online activity 2: Answer the decimal multiplication questions

This video explores how to multiply and divide decimals.

Part 1: Multiplying integers
Part 2: Examples of multiplying integers
Part 3: Common mistakes made when multiplying integers

Basic primer on Newton's First Law of motion.

Newton's Laws of Motion

Newton's second law of motion is F = ma, or force is equal to mass times acceleration. Learn how to use the formula to calculate acceleration.

Learn about Newton's third law of motion, which states that for every action there is an equal and opposite reaction. Look at multiple examples that illustrate this law, including pushing a block on ice, pushing against a desk, walking on sand, how rockets work, and how an astronaut could save themselves from drifting in space.