Formulae and Kinematics

August 23, 2016

Students learn how to write a formula from a written description and use this formula to model various scenarios.  As learning progresses students work with the various kinematics formulae. This unit takes place in Year 10 Term 4, and follows on from solving equations.

Formulae and Kinematics Lessons
Algebra: Interactive Lessons
Substitution into Formulae
4 Part Lesson
Substitution into Formulae
Students learn how to substitute known values into formulae using the order of operations.
Algebra: Interactive Lessons
Rearranging Formulae by Factorising
4 Part Lesson
Rearranging Formulae by Factorising
Students learn how to change the subject of a formula by factorising.
Algebra: Interactive Lessons
Rearranging Formulae
4 Part Lesson
Rearranging Formulae
Students learn how to rearrange formulae using the balance method.
Algebra: Interactive Lessons
Kinematics Formulae
4 Part Lesson
Kinematics Formulae
Students learn how to apply and manipulate various SUVAT formulae to model kinematics problems.
Additional Resources
Algebra: Interactive Lessons
Substitution into Formulae
Extended Learning
Substitution into Formulae
Additional practice substituting numbers into formulae.
Algebra: Interactive Lessons
Rearranging Formulae
Extended Learning
Rearranging Formulae
Additional practice representing changing the subject of a formula.
Algebra: Interactive Lessons
Problem Solving - Substitution into Formulae
Problem Solving
Substitution into Formulae
Students are challenged to solve a range of problems involving substitution into formulae.
Algebra: Interactive Lessons
Revising Rearranging Complex Formulae
Revision
Rearranging Complex Formulae
Students revise how to change the subject of a formula by factorising.
Algebra: Interactive Lessons
Revising Substitution into Formulae
Revision
Substitution into Formulae
Students revise how to substitute known values into formulae using the order of operations.
Algebra: Interactive Lessons
Revising Rearranging Formulae
Revision
Rearranging Formulae
Students revise how to change the subject of a formula using the balance method.
Algebra: Interactive Lessons
Revising Kinematics Formulae
Revision
Kinematics Formulae
Students revise how to substitute known values into various Kinematics formulae.
Prerequisite Knowledge
  • Solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation)
  • Translate simple situations or procedures into algebraic expressions
  • Deduce expressions to calculate the nth term of linear sequence
  • Use compound units such as speed, rates of pay, unit pricing, density and pressure
Success Criteria
  • Substitute numerical values into formulae and expressions, including scientific formulae
  • Understand and use the concepts and vocabulary of expressions, equations, formulae, identities inequalities, terms and factors
  • Understand and use standard mathematical formulae; rearrange formulae to change the subject
  • Use relevant formulae to find solutions to problems such as simple kinematic problems involving distance, speed and acceleration
  • Know the difference between an equation and an identity; argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments
Key Concepts
  • When substituting known values into formulae it is important to follow the order of operations.
  • Students need to have a secure understanding of using the balance method when rearranging formulae. Recap inverse operations, e.g. x2=> √x;.
  • When generating formulae it is important to associate mathematical operations and their algebraic notation with key words.
  • Sketching a diagram to model a motion enables students to identify the key information and choose the correct Kinematic formula.
Common Misconceptions
  • Students often consider 2a3; to be incorrectly calculated as (2a)3;. Recap the order of operations to avoid this.
  • Students often have difficulty generating formulae from real life contexts. Encourage them to carefully break down the written descriptions to identify key words.
  • Knowing which kinematics formula to use often causes students to drop mark in examinations.
  • When factorising terms students often forget to use the highest common factor.

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