Investigating Shape Patterns

Survey of shape patterns [IMAGE] My work is to investigate the number of squares required to make such a cross shape. [IMAGE] This is my result table, number of black, red, and all squares 4 Black square 4 8 12 16 20 24 28 32 Red rectangle 1 5 13 25 41 61 85 113 Total square 5 13 25 41 61 85 113 145 You can now see an expression that shows how many squares are included in each sequence. You can see the difference between black squares.

Patterns, relationships, and functions form a unified theme of mathematics. Starting from the earliest age students should be encouraged to study patterns they find in numbers, shapes, and expressions, and do so by mathematical discovery. They should have the opportunity to analyze, extend and create patterns and use pattern-based thinking to understand and express mathematics and other real world phenomena. These probes provide an infinite opportunity to solve problems, create summaries and verify them, and build mathematical understanding and confidence.

Patterns, relationships, and functions continue to provide a unified theme for high school mathematical research. As mentioned in the K-12 introduction, pattern-based thinking at the initial level and informal investigation starting at the junior high school level allowed students to use functional concepts and functional symbols. Students should explain relationships in specific contexts using algebraic expressions, formulas, formulas, and input and output value tables, charts, and sentences.

Students from 3rd to 4th graders will continue to create, identify and extend models. In these grades, pattern or symbolic pattern representation is widely used than K - 2 level. In addition to studying patterns observed in the environment, students should also use the operation to investigate what happens in the pattern as the number of terms is expanded or the starting number is changed . Also, for patterns including multiplication and division, you need to study more than the initial learning. Students continue to study what happens to patterns, including money, measurement, time, and geometry. They need to use a calculator to explore the mode