Results

Part 1: Closure property of whole numbers with specific reference to adding, subtracting, multiplying and dividing whole numbers
Part 2: Examples of closure property of whole numbers
Part 3: Common mistakes and misconceptions

Part 1: Commutative property of whole numbers under addition, subtraction, multiplication and division 
Part 2: Examples of commutative property of whole numbers under addition and multiplication
Part 3: Common mistakes and misconceptions

Part 1: Distributive property of multiplication over the addition and subtraction of whole numbers
Part 2: Examples of the distributive property of multiplication over the addition and subtraction of whole numbers
Part 3: Common mistakes made and misconceptions

How to solve for the horizontal displacement when the projectile starts with a horizontal initial velocity. We also explain common mistakes people make when doing horizontally launched projectile problems.

Outcomes

In this course you will learn about:

1. The real number system.
2. Natural numbers, whole numbers and integers.
3. The highest common factor.
4. The lowest common multiple.

Video 1: Explores triangular and square numbers.
Video 2: Explores some examples of patterns in whole numbers.
Video 3: Explores some common mistakes which can be made when looking for patterns in whole numbers.

• Predict, qualitatively, how an external force will affect the speed and direction of an object's motion.
• Explain the effects with the help of a free body diagram.
• Use free body diagrams to draw position, velocity, acceleration and force graphs and vice versa.
• Explain how the graphs relate to one another.
• Given a scenario or a graph, sketch all four graphs.

Video 1: Dividing a fraction by a whole number
Video 2: Divide fractions by whole numbers
Video 3: Meaning of the reciprocal
Video 4: Dividing a whole number by a fraction
Video 5: Dividing a whole number by fraction with a reciprocal
Video 6: Divide whole numbers by fractions

Outcomes:

• Determine if a liquid is acidic, basic, or neutral
• Place acids or bases in relative order
• Describe on a molecular scale, with illustrations, how the water equilibrium varies with pH
• Determine concentration of hydroxide, hydronium and water at a given pH
• Relate liquid color to pH
• Predict (qualitatively and quantitatively) how dilution and volume will affect the pH and concentration of hydroxide, hydronium and water

Write and solve vertical addition problems with whole numbers.