Just Ask Berleaf:
Solving Patterns & Number Sequence

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JUST ASK BERLEAF is an educational series by Berleaf Education that aims to share knowledge and learning hacks with passionate learners around the world.

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Berwin’s teaching approach has transformed struggling students into confident knowledge enthusiasts, ready to overcome challenges and pursue their passions.

Join us now to embark on an exciting learning adventure guided by Berwin for you or your kids!
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[/vc_column_text][vc_separator][/vc_column][vc_column width=”2/3″ css=”.vc_custom_1691990052287{padding-right: 15px !important;padding-left: 15px !important;}”][vc_custom_heading text=”Solving Patterns And Number Sequence” font_container=”tag:h4|font_size:2.2em|text_align:left|color:%23708e96″ google_fonts=”font_family:Oswald%3A300%2Cregular%2C700|font_style:400%20regular%3A400%3Anormal” css=”.vc_custom_1692072779324{margin-bottom: 0px !important;padding-left: 8px !important;}”][vc_column_text css=”.vc_custom_1692072756420{padding-top: 8px !important;padding-right: 10px !important;padding-bottom: 20px !important;padding-left: 10px !important;}”]

Suitable for: Primary 6 and above
Prerequisite: Algebra

[/vc_column_text][vc_separator][vc_custom_heading text=”Patterns & Its Importance” font_container=”tag:h4|font_size:1.8em|text_align:left|color:%238fb4bf” google_fonts=”font_family:Oswald%3A300%2Cregular%2C700|font_style:400%20regular%3A400%3Anormal” css=”.vc_custom_1692172041740{margin-bottom: 0px !important;padding-bottom: 8px !important;padding-left: 10px !important;}”][vc_column_text css=”.vc_custom_1692172019826{padding-top: 0px !important;padding-right: 10px !important;padding-bottom: 20px !important;padding-left: 10px !important;}”]Patterns have captivated human civilizations for centuries, particularly in the realm of mathematics. From ancient cultures like the Egyptians and Greeks, who used patterns to understand celestial phenomena and explore geometric relationships, to the Renaissance period, where artists and mathematicians merged patterns and proportions, these recurring arrangements have played a pivotal role in shaping mathematical concepts.

As algebraic notation and calculus emerged in the 17th century, mathematicians gained powerful tools to precisely describe, analyze, and predict patterns. This led to the exploration of functions, sequences, and series, laying the groundwork for modern mathematical analysis.

With the advent of computers and technology, patterns found new applications in cryptography, data analysis, and artificial intelligence, making them essential in various contemporary disciplines. Today, the study of patterns remains integral to understanding mathematical relationships and fostering problem-solving skills across diverse fields.[/vc_column_text][ultimate_spacer height=”25″][vc_custom_heading text=”Methods to Solving Patterns & Number Sequence” font_container=”tag:h4|font_size:1.8em|text_align:left|color:%238fb4bf” google_fonts=”font_family:Oswald%3A300%2Cregular%2C700|font_style:400%20regular%3A400%3Anormal” css=”.vc_custom_1692072968756{margin-bottom: 0px !important;padding-bottom: 8px !important;padding-left: 10px !important;}”][vc_column_text css=”.vc_custom_1692172496388{padding-top: 0px !important;padding-right: 10px !important;padding-bottom: 20px !important;padding-left: 10px !important;}”]The key strategy to swiftly and effortlessly solving pattern-related questions is the formulation of a general formula!  Having a general formula for solving pattern questions is crucial as it provides a systematic and efficient approach to deciphering complex sequences. This formula allows us to calculate any term in the sequence accurately and quickly, saving time and minimizing errors. Instead of manually calculating each term, you can directly apply the formula to find any term in the sequence. This saves time and effort, especially for longer patterns.[/vc_column_text][vc_single_image image=”1052″ img_size=”full” css=”.vc_custom_1692061314900{padding-bottom: 15px !important;}”][ultimate_spacer height=”15″][vc_custom_heading text=”Getting Started” font_container=”tag:h4|font_size:1.8em|text_align:left|color:%238fb4bf” google_fonts=”font_family:Oswald%3A300%2Cregular%2C700|font_style:400%20regular%3A400%3Anormal” css=”.vc_custom_1692061772983{margin-bottom: 0px !important;padding-bottom: 8px !important;padding-left: 10px !important;}”][vc_column_text css=”.vc_custom_1692066718956{padding-top: 0px !important;padding-right: 10px !important;padding-bottom: 20px !important;padding-left: 10px !important;}”]Starting with your pinky, your fingers represent 0, 30, 45, 60 and 90 degrees respectively.[/vc_column_text][vc_single_image image=”1053″ img_size=”full” css=”.vc_custom_1692061620435{padding-bottom: 15px !important;}”][vc_column_text css=”.vc_custom_1692068701408{padding-top: 0px !important;padding-right: 10px !important;padding-bottom: 20px !important;padding-left: 10px !important;}”]Example
Find the value for each of the following:

Sin 30°
Cos 30°
Tan 30°

Step 1: Bending fingers

To find the Trigonometric Value, first, bend the finger that represents the special angle which in our example is 30 degree[/vc_column_text][vc_single_image image=”1054″ img_size=”full” css=”.vc_custom_1692063546665{padding-bottom: 15px !important;}”][ultimate_spacer height=”15″][vc_column_text css=”.vc_custom_1692068709560{padding-top: 0px !important;padding-right: 10px !important;padding-bottom: 20px !important;padding-left: 10px !important;}”]

Step 2: Count your fingers with the relevant formula

For Sine
Count the number of fingers below your bent finger and simply square root that number and divide it by 2 to get the value of your Trigo ratio.[/vc_column_text][vc_single_image image=”1055″ img_size=”full” css=”.vc_custom_1692061693772{padding-bottom: 15px !important;}”][vc_single_image image=”1056″ img_size=”full” css=”.vc_custom_1692067672069{padding-bottom: 15px !important;}”][vc_column_text css=”.vc_custom_1692068273015{padding-top: 0px !important;padding-right: 10px !important;padding-bottom: 20px !important;padding-left: 10px !important;}”]Et viola! We have got sin 30° = 1/2![/vc_column_text][vc_column_text css=”.vc_custom_1692068204397{padding-top: 0px !important;padding-right: 10px !important;padding-bottom: 20px !important;padding-left: 10px !important;}”]For Cosine
Count the fingers above your bent finger, square root that number and divide it by 2 to get the value of your trigonometric ratio.[/vc_column_text][vc_single_image image=”1057″ img_size=”full” css=”.vc_custom_1692068294555{padding-bottom: 15px !important;}”][vc_single_image image=”1058″ img_size=”full” css=”.vc_custom_1692068307525{padding-bottom: 15px !important;}”][vc_column_text css=”.vc_custom_1692068361190{padding-top: 0px !important;padding-right: 10px !important;padding-bottom: 20px !important;padding-left: 10px !important;}”]Et viola! We have got cos 30° = (sqrt 3)/2![/vc_column_text][vc_column_text css=”.vc_custom_1692068427760{padding-top: 0px !important;padding-right: 10px !important;padding-bottom: 20px !important;padding-left: 10px !important;}”]For Tangent
While keeping your fingers bent, flip over to your backhand.
Then square root the number of fingers above the bent finger and divide it with the square root of the number of fingers below[/vc_column_text][vc_single_image image=”1059″ img_size=”full” css=”.vc_custom_1692068451851{padding-bottom: 15px !important;}”][vc_single_image image=”1060″ img_size=”full” css=”.vc_custom_1692068459903{padding-bottom: 15px !important;}”][vc_column_text css=”.vc_custom_1692068474738{padding-top: 0px !important;padding-right: 10px !important;padding-bottom: 20px !important;padding-left: 10px !important;}”]Then square root the number of fingers above the bent finger and divide it with the square root of the number of fingers below.[/vc_column_text][vc_single_image image=”1062″ img_size=”full” css=”.vc_custom_1692068499131{padding-bottom: 15px !important;}”][vc_single_image image=”1063″ img_size=”full” css=”.vc_custom_1692068508580{padding-bottom: 15px !important;}”][vc_column_text css=”.vc_custom_1692068537693{padding-top: 0px !important;padding-right: 10px !important;padding-bottom: 20px !important;padding-left: 10px !important;}”]Et viola! We have got tan 30° = 1/sqrt 3![/vc_column_text][ultimate_spacer height=”15″][vc_custom_heading text=”That’s All For Now!” font_container=”tag:h4|font_size:1.8em|text_align:left|color:%238fb4bf” google_fonts=”font_family:Oswald%3A300%2Cregular%2C700|font_style:400%20regular%3A400%3Anormal” css=”.vc_custom_1691986882322{margin-bottom: 0px !important;padding-bottom: 8px !important;padding-left: 10px !important;}”][vc_column_text css=”.vc_custom_1691987022542{padding-top: 15px !important;padding-bottom: 15px !important;padding-left: 10px !important;}”]

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