# Square Numbers and Square Roots

#### What's Included

• Smart Notebooks Presentation
• Interactive Excel File
• Activ Inspire Flipchart
• Lesson Plan
• Microsoft PowerPoint Presentation

# Square Numbers and Square Roots

Students learn how to calculate square numbers and square roots.  They are taught to use visualisation, written methods and calculators.  Less able students are encouraged to use a timetable to support their learning and more able are challenged to demonstrate Lagrange's Theorem.

The lesson begins with introducing squares as having an odd number of factors.  In the main part students are taught square numbers using diagrams and patterns.  Later, they go on to calculate square roots and decimal numbers.  At the end of the lesson they are challenge to demonstrate Lagrange's Theorem for a series of numbers.

##### Differentiated Learning Objectives
• All students should be able to calculate the first twelve square numbers using the timetable grid.
• Most students should be able to calculate the square numbers and their roots up to 12.
• Some students should be able to calculate the square of negative, decimals and fractions.
Multiples, Factors, Primes and Squares

### Mr Mathematics Blog

#### Teaching Mathematics for a Growth Mindset

Inspiring students to enjoy maths and feel the success that comes with attempting a difficult challenge is why I teach.  The feeling of success is addictive.  The more students experience it the more they want it and the further out of their comfort zone they are willing to go to get more of it.  Teaching […]

#### Equation of Straight Line Graphs

To find the equation of straight line graphs students need to calculate the gradient using two pairs of coordinates and the intercept which is the y value of where it crosses the vertical axis.  Examiner’s reports of past exam questions show students are more able to find the intercept of a straight line than they […]

#### Arithmetic and Geometric Sequences

Students learn how to generate and describe arithmetic and geometric sequences on a  position-to-term basis.  Learning progresses from plotting and reading coordinates in the first quadrant to describing geometric sequences using the nth term. This unit takes place in Term 4 of Year 10 and is followed by the equations of straight line graphs. Arithmetic […]