Setting up and Solving Equations

Students learn how to use the balance to form and solve linear equations.  Learning progresses from solving one step equations to setting up equations where the unknown appears on both side.

This unit takes place in Term 6 of Year 7 and follows on from writing with algebraic notation.


Setting up and Solving Equations Lessons
Prerequisite Knowledge
  • use and interpret algebraic notation, including:
    • ab in place of a × b
    • 3y in place of y + y + y and 3 × y
    • a2 in place of a × a, a3 in place of a × a × a; a2b in place of a × a × b
    • a/b in place of a ÷ b
    • coefficients written as fractions rather than decimals
  • simplify and manipulate algebraic expressions to maintain equivalence by:
    • collecting like terms
    • taking out common factors
Key Concepts
  • When solving equations students should use a scale to visualise how it remains balanced.
  • A secure understanding of the order of operations and inverse operations is needed to keep an equation balanced.
  • By solving the equation you find the value of the unknown number.
  • When forming equations students often become confused with using brackets.
  • An equation can have a positive or negative solution which could be presented as a simplified fraction rather than a decimal.
Working mathematically

Develop fluency

  • Move freely between different numerical, algebraic, graphical and diagrammatic representations [for example, equivalent fractions, fractions and decimals, and equations and graphs]
  • Develop algebraic and graphical fluency, including understanding linear and simple quadratic functions

Reason mathematically

  • Identify variables and express relations between variables algebraically
  • Make and test conjectures about patterns and relationships; look for proofs or counter-examples

Solve problems

  • Begin to model situations mathematically and express the results using a range of formal mathematical representations
Subject Content

Algebra

  • Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms and factors
  • Use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement)

Leave a Reply

Your email address will not be published. Required fields are marked *

You may use these HTML tags and attributes:

<a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Mr Mathematics Blog

Literacy in Mathematics – Creating Problem Solvers

Last year my school had a OFSTED trial inspection. Whilst the maths team recieved favourable feedback the inspectors noted a need for a focus on whole school literacy. Because of this I was asked to demonstrate how we develop student’s literacy in mathematics. Literacy in Mathematics By developing student’s literacy in mathematics we aim to […]

Angles in Polygons

There are two key learning points when solving problems with angles in polygons.  The first is to understand why all the exterior angles of a polygon have a sum of 360°.  The second is to understand the interior and exterior angles appear on the same straight line. Students can be told these two facts and […]

Getting Ready for a New School Year

When getting ready for a new school year I have a list of priorities to work through. Knowing my team have all the information and resources they need to teach their students gives me confidence we will start the term in the best possible way.  Mathematics Teaching and Learning Folder All teachers receive a folder […]