Linear Equations Integer Solutions

Lesson 1 - Integer Operations

We learnt:

• To know the numbers in the set of integers

• To know the rules for the mathematical operations applied to negative numbers

• To understand the notation for powers and roots

• To be able to evaluate operations on integers including negative numbers, powers and roots and apply order of operations

Lesson 2 - Linear Equations

We learnt:

• To be able to solve a linear equation by using inverse operations

• To know that an answer can be checked by substituting into the original equation

• To know that equations involving brackets can be solved by first expanding the brackets

• To know to solve equations with variables on both sides by collecting variables on one side of the equations

Lesson 3 - Linear Equations

We repeated this lesson...

You may like to revisit this soon to refresh your mind if you struggled with the four questions!

Lesson 4 - Intro to Linear Relations

We learnt:

• Review features of the Cartesian plane and coordinate pairs

• Review plotting graphs of linear relations using a table of values

Time to grab your Cartesian Planes!

Lesson 5 - Midpoint and Line Segments

Lesson 6 - Gradient

We learnt how to:

• Identify the gradient of a line as either negative, positive, zero or undefined

• Calculate gradient using rise and run
  
  Don't put those Cartesian Planes away!

^{Lesson 7 - More Gradients and Lines with Intercepts}

• Recall the linear equation y=mx+c and its important parts 

  • m is the gradient 

  • c is the y-intercept 

• Use the gradient formula 

• Rearrange formulae to match the linear equation format 

• Substitute points into equations to find a rule