October 18, 2010 - Baltimore City Public Schools
... Content Standard: Earth/Space Science Topic: Materials and Processes that Shape a Planet Indicator: Recognize and explain how physical weathering and erosion cause changes to the Earth’s surface. Objective: Students will improve fluency and demonstrate an understanding of how the use of fossil fuels ...
... Content Standard: Earth/Space Science Topic: Materials and Processes that Shape a Planet Indicator: Recognize and explain how physical weathering and erosion cause changes to the Earth’s surface. Objective: Students will improve fluency and demonstrate an understanding of how the use of fossil fuels ...
Algebra I Lessons for the week of September 22
... Objective: Students will be able to find and use rules that relate independent and dependent variables or that predicts change in one variable over time. ALGI.3B Look for patterns in finite differences, determine the value of the zero term, and write the algebraic representation for the given situat ...
... Objective: Students will be able to find and use rules that relate independent and dependent variables or that predicts change in one variable over time. ALGI.3B Look for patterns in finite differences, determine the value of the zero term, and write the algebraic representation for the given situat ...
Exploring Patterns and Algebraic Thinking
... Before formal schooling, children develop beginning concepts related to patterns, functions, and algebra. They learn repetitive songs, rhythmic chants, and predictive poems / stories that are based on repeating and growing patterns. Their observations and discussions of how quantities relate to one ...
... Before formal schooling, children develop beginning concepts related to patterns, functions, and algebra. They learn repetitive songs, rhythmic chants, and predictive poems / stories that are based on repeating and growing patterns. Their observations and discussions of how quantities relate to one ...
Number patterns
... (We don’t need the pattern to work it out.) Example: here the patterns are made from circles. This is called the triangle number sequence or pattern: ...
... (We don’t need the pattern to work it out.) Example: here the patterns are made from circles. This is called the triangle number sequence or pattern: ...
ProbCombEx9
... representing segments that are on, or that we can sum the counts of how many patterns have 0, 1, 2, ..., 14 segments on. Viewing patterns as equivalent to binary numbers, we have 14 digit numbers yielding 214 = 16,384 possible patterns. If, instead, we count the number of patterns with 0, 1, 2, ..., ...
... representing segments that are on, or that we can sum the counts of how many patterns have 0, 1, 2, ..., 14 segments on. Viewing patterns as equivalent to binary numbers, we have 14 digit numbers yielding 214 = 16,384 possible patterns. If, instead, we count the number of patterns with 0, 1, 2, ..., ...
Patterns in nature
Patterns in nature are visible regularities of form found in the natural world. These patterns recur in different contexts and can sometimes be modelled mathematically. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. Early Greek philosophers studied pattern, with Plato, Pythagoras and Empedocles attempting to explain order in nature. The modern understanding of visible patterns developed gradually over time.In the 19th century, Belgian physicist Joseph Plateau examined soap films, leading him to formulate the concept of a minimal surface. German biologist and artist Ernst Haeckel painted hundreds of marine organisms to emphasise their symmetry. Scottish biologist D'Arcy Thompson pioneered the study of growth patterns in both plants and animals, showing that simple equations could explain spiral growth. In the 20th century, British mathematician Alan Turing predicted mechanisms of morphogenesis which give rise to patterns of spots and stripes. Hungarian biologist Aristid Lindenmayer and French American mathematician Benoît Mandelbrot showed how the mathematics of fractals could create plant growth patterns.Mathematics, physics and chemistry can explain patterns in nature at different levels. Patterns in living things are explained by the biological processes of natural selection and sexual selection. Studies of pattern formation make use of computer models to simulate a wide range of patterns.