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You want a projectile to fly as far as possible, at which angle should you launch it? We'll start with formulas for the initial velocity.

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.

Plotting projectile displacement, acceleration, and velocity as a function of time.

Figuring out the horizontal displacement for a projectile launched at an angle.

• Determine how each parameter (initial height, initial angle, initial speed, mass, diameter, and altitude) affects the trajectory of an object, with and without air resistance.
• Predict how varying the initial conditions will affect a projectile’s path, and provide an explanation for the prediction.
• Estimate where an object will land, given its initial conditions.
• Determine that the x and y motion of a projectile are independent.
• Investigate the variables that affect the drag force.
• Describe the the effect that the drag force has on the velocity and acceleration.
• Discuss projectile motion using common vocabulary (such as: launch angle, initial speed, initial height, range, time).

Visualising position, velocity and acceleration in two-dimensions for projectile motion.

• 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

Part 1: Representation, comparison and ordering of integers on the number line
Part 2: Examples related to the representation and comparison of integers on the number line
Part 3: Common mistakes and misconceptions

Speed necessary for the space station to stay in orbit.