Pāngarau I Algebra

Year
Term
Colour
Levels
5
Code
Learning Area

Mathematics & Statistics

Document outlining 2024/2025 Mathematics plan.

Note that levels 4 and 5 are intended to be two year programmes.

Description

This term we will be looking at algebra.

Learning algebra helps to develop your critical thinking skills, including problem solving, logic, patterns, and reasoning. It's also pretty satisfying when you figure it out!

Algebra is the language of mathematics: have look https://algebrarules.com/ for the rules we will be learning to apply.

We will also look at how to graph algebraic patterns, mostly to create straight lines.

 

The properties of operations (commutative, distributive, associative, inverse, and identity) apply to numbers and variables. There is an order of operations when using numbers and variables. Functions can be expressed as algebraic equations, XY graphs, tables, or in words. There are many different, equivalent equations for expressing a linear function. Algorithms can be efficient or inefficient. More efficient algorithms have fewer steps

  • operate on numbers with whole-number exponents and develop the rule for multiplying or dividing numbers with exponents and the same base
  • express functions arising from linear and simple quadratic patterns
  • graph linear functions and interpret the gradient, x-intercept, and y-intercept in relation to the function or the practical situation represented 
  • substitute into, rearrange, and simplify expressions, combining like terms as needed
  • create or use a formula, rule, equation, or inequality, solve for unknowns, and evaluate by substitution
  • identify how sequence, selection, and iteration are used in algorithms for generating patterns.

 

 

All students will require a maths exercise book for this class i.e. a 1J5 or 1E8, a pen, a ruler and a scientific calculator.