Work with a range of patterns and functions and solve problems

Using Patterns to Solve Math Problems | Online course

How to Solve Problems with Patterns?

The general formula for calculating patterns, specifically in arithmetic sequences, is Tn = a + (n – 1)d, where: 
  • Tnis the nth term of the sequence.
  • ais the first term of the sequence.
  • nis the position of the term in the sequence.
  • dis the common difference between terms.
For example, if the sequence is 2, 4, 6, 8…, then a = 2, d = 2. To find the 5th term (n=5), the formula would be: Tn = 2 + (5-1) * 2 = 2 + 8 = 10. 
The general formula for calculating patterns, specifically in arithmetic sequences, is Tn = a + (n – 1)d, where: 
  • Tnis the nth term of the sequence.
  • ais the first term of the sequence.
  • nis the position of the term in the sequence.
  • dis the common difference between terms.
For example, if the sequence is 2, 4, 6, 8…, then a = 2, d = 2. To find the 5th term (n=5), the formula would be: Tn = 2 + (5-1) * 2 = 2 + 8 = 10. 

Gain the skills to work confidently with numeric patterns, sequences, and algebraic expressions. This course trains you to analyze real-life scenarios through structured reasoning, visual representations, and critical evaluation. By the end of the course, you’ll not only solve problems methodically but also understand how to approach unfamiliar mathematical challenges with clarity. Whether you’re preparing for further education or aiming to enhance workplace competence, this course provides the foundation to succeed. Learn at your own pace through engaging activities, real-world examples, and assessments that strengthen your problem-solving mindset.

Who Should Enroll?
This course is ideal for learners who want to build stronger foundational math skills, especially those returning to study or preparing for careers requiring logical thinking and numerical literacy.

How You’ll Learn:
The course includes interactive lessons, guided examples, and problem-based assessments that let you apply concepts immediately. Self-paced and fully online, it’s tailored to suit your schedule and learning style.

Benefits of Taking This Course:

  • Become confident in using math in everyday decisions
  • Improve your ability to interpret and solve real-world problems
  • Build a strong base for future studies in math or technical fields
  • Increase your value in roles that require analytical and logical thinking

Course Content

  • Appropriate information is selected to convert flexibly between and within various representations of functions
  • Appropriate representations are selected for specific applications
  • Conversions represent the functions accurately and appropriately
  • Patterns and functions are compared in terms of: Shape and symmetry, Finding function values, Finding input values, The average rate of change of function values
  • The key features of the graphs of functions are described and interpreted correctly
  • The behaviour of functions is described as being increasing or decreasing or constant as determined visually from graphical representation
 
  • Accurate point-by-point plotting is used to model contextual problems
  • Appropriate symbolic representations are used to model contextual problems
  • Representations are analysed and manipulated efficiently in arriving at results
  • Representations are verified in terms of available data
  • Results are interpreted correctly in terms of the situation
  • Interpretations and predictions are based on the properties of the mathematical model
  • Non-accredited: Short course only  
  • Duration: 1h 30m
  • Delivery: Classroom/Online/Blended
  • Access Period: 12 Months 
SpecCon Short Course
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