A repeat pattern is a sequence of shapes, colors, or objects that is repeated in a predictable way. These patterns can be found in various forms of art, design, and even in mathematics.
There are several types of repeat patterns, including:
Regular repeat patterns: These patterns have a consistent and predictable repetition of elements, such as stripes, checks, or polka dots.
Irregular repeat patterns: These patterns involve a more complex and less predictable repetition of elements, often found in nature or in abstract art.
To create and analyze repeat patterns, it's important to understand the concept of symmetry, which is the balance and proportion of elements within a pattern. Some key concepts to consider include:
Translation: Moving a pattern in a specific direction without rotating or reflecting it.
Rotation: Turning a pattern around a central point, such as a clock hand moving around the face of a clock.
Reflection: Flipping a pattern over a line to create a mirror image.
Study Guide
Here are some key points to remember when studying repeat patterns:
Identify the type of repeat pattern (regular, irregular, geometric) and its defining characteristics.
Understand the concept of symmetry and how it applies to creating and analyzing repeat patterns.
Practice creating your own repeat patterns using different elements such as shapes, colors, and objects.
Explore real-world examples of repeat patterns in art, architecture, and nature to gain a deeper appreciation for their prevalence and significance.
By mastering the concept of repeat patterns, you can develop a keen eye for design and a better understanding of the mathematical and artistic principles that underlie them.
Number and Operations: In grade 4, students used equivalent fractions to determine the decimal representations of fractions that they could represent with terminating decimals. Students now use division to express any fraction as a decimal, including fractions that they must represent with infinite decimals. They find this method useful when working with proportions, especially those involving percents. Students connect their work with dividing fractions to solving equations of the form ax = b, where a and b are fractions. Students continue to develop their understanding of multiplication and division and the structure of numbers by determining if a counting number greater than 1 is a prime, and if it is not, by factoring it into a product of primes.