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Proportional Reasoning · Spring Term

Equivalent Fractions

Understanding and generating equivalent fractions.

Key Questions

  1. Explain why multiplying the numerator and denominator by the same number creates an equivalent fraction.
  2. Compare different sets of equivalent fractions.
  3. Construct a visual representation of equivalent fractions.

National Curriculum Attainment Targets

KS3: Mathematics - Number
Year: Year 7
Subject: Mathematics
Unit: Proportional Reasoning
Period: Spring Term

About This Topic

Friction and resistance are forces that oppose motion. This topic explores how the texture of surfaces and the properties of fluids (like air and water) affect the movement of objects. Students investigate how friction can be both a hindrance, such as in engine parts, and a necessity, such as for walking or braking.

This unit aligns with the National Curriculum targets for forces and motion. It provides a practical context for understanding energy dissipation and the design of efficient transport. Understanding friction and resistance is essential for students to appreciate the engineering challenges in the modern world. This topic comes alive when students can physically model the patterns of resistance and test different materials and shapes.

Active Learning Ideas

Watch Out for These Misconceptions

Common MisconceptionFriction only happens between two moving objects.

What to Teach Instead

Explain that static friction exists between two stationary objects, preventing them from starting to move. A simple activity trying to push a heavy box can help students feel this initial resistance.

Common MisconceptionAir resistance is not a force because air is 'nothing'.

What to Teach Instead

Clarify that air is made of particles that collide with moving objects, creating a force. Using a simulation or a feather-and-coin vacuum demonstration helps students see the impact of air particles.

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Frequently Asked Questions

What is friction?
Friction is a force that opposes motion between two surfaces that are in contact. It acts in the opposite direction to the movement and can generate heat as a result of the interaction between the surfaces.
What are the best hands-on strategies for teaching friction?
The most effective strategies involve direct measurement and comparison. Using force meters to pull objects across various textures provides immediate, quantifiable data. Collaborative design challenges, like building the slowest-falling parachute or the fastest-rolling car, also allow students to experiment with variables and see the effects of resistance in real-time.
How does streamlining reduce resistance?
Streamlining involves shaping an object to allow fluids (like air or water) to flow more easily around it. This reduces the number of collisions between the object and the fluid particles, thereby decreasing the resistive force.
Can friction be useful?
Yes, friction is essential for many everyday activities. It allows us to walk without slipping, enables car brakes to stop the vehicle, and provides the grip needed to hold objects. Without friction, many things would be impossible to control.

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