UNIT 12 Number Patterns and Sequences
... The human brain is effective precisely because it always tries to 'make sense' of the partial information provided by sensory data by 'filling in' missing details. Thus we act, not on the basis of hard facts, but to a large extent on 'guesses' which extrapolate from partial sensory information. For ...
... The human brain is effective precisely because it always tries to 'make sense' of the partial information provided by sensory data by 'filling in' missing details. Thus we act, not on the basis of hard facts, but to a large extent on 'guesses' which extrapolate from partial sensory information. For ...
What is a square number?
... 1. Make a list of the square numbers in order. 2. How many are we adding to get from the first square number to the second square number? 3. How many are we adding to get from the second square number to the third square number? 4. Is there a pattern in the numbers we are adding? Reflection: Is ther ...
... 1. Make a list of the square numbers in order. 2. How many are we adding to get from the first square number to the second square number? 3. How many are we adding to get from the second square number to the third square number? 4. Is there a pattern in the numbers we are adding? Reflection: Is ther ...
Which big idea do you think is highlighted
... 3. Jaclyn found 6n –1 written on the board when she came into class. On her table were pattern blocks, toothpicks, and interlocking cubes. Use one of these materials to represent the first three terms of the pattern created by the general term 6n –1. Explain why you chose this representation. ...
... 3. Jaclyn found 6n –1 written on the board when she came into class. On her table were pattern blocks, toothpicks, and interlocking cubes. Use one of these materials to represent the first three terms of the pattern created by the general term 6n –1. Explain why you chose this representation. ...
Guide to Leaving Certificate Mathematics Ordinary Level Paper 1
... Question 6 currently offers a choice of two topics, and will continue to do so for the duration of the three year roll-out of the new syllabus (2012, 2013, 2014). After this time, there will be no choice given. Question 6A is based on synthetic geometry, which consists of being able to use certain t ...
... Question 6 currently offers a choice of two topics, and will continue to do so for the duration of the three year roll-out of the new syllabus (2012, 2013, 2014). After this time, there will be no choice given. Question 6A is based on synthetic geometry, which consists of being able to use certain t ...
Patterns, Functions and Algebra
... - Number, Number Sense and Operations: Explain the effects of operations such as multiplication or division, and of computing powers and roots on the magnitude of quantities. - Patterns, Functions and Algebra: Generalize patterns using functions or relationships and freely translate among tabular, g ...
... - Number, Number Sense and Operations: Explain the effects of operations such as multiplication or division, and of computing powers and roots on the magnitude of quantities. - Patterns, Functions and Algebra: Generalize patterns using functions or relationships and freely translate among tabular, g ...
Chapter 9- Fibonacci Numbers Example: Rabbit Growth Start with 1
... Chapter 9- Fibonacci Numbers Example: Rabbit Growth 2 Start with 1 pair of rabbits 2 One month to maturity 2 Mature pairs produce 1 pair of offspring each month How Many Pairs of Rabbits? START ...
... Chapter 9- Fibonacci Numbers Example: Rabbit Growth 2 Start with 1 pair of rabbits 2 One month to maturity 2 Mature pairs produce 1 pair of offspring each month How Many Pairs of Rabbits? START ...
Math Background
... children learn to draw and name simple geometric shapes and to describe their attributes. The number of sides on a geometric figure reinforces the early number activities. Triangles, for example, are taught with the number 3. ...
... children learn to draw and name simple geometric shapes and to describe their attributes. The number of sides on a geometric figure reinforces the early number activities. Triangles, for example, are taught with the number 3. ...
Patterns and Inductive Reasoning
... Sometimes it may be true, and other times it may be false. How do you know whether a conjecture is true or false? ...
... Sometimes it may be true, and other times it may be false. How do you know whether a conjecture is true or false? ...
Phi - Business AllStars
... http://www.mathacademy.com/pr/prime /articles/fibonac/index.asp The growth of a nautilus shell, like the growth of populations and many other kinds of natural “growing,” are somehow governed by mathematical properties exhibited in the Fibonacci sequence. And not just the rate of growth, but the pat ...
... http://www.mathacademy.com/pr/prime /articles/fibonac/index.asp The growth of a nautilus shell, like the growth of populations and many other kinds of natural “growing,” are somehow governed by mathematical properties exhibited in the Fibonacci sequence. And not just the rate of growth, but the pat ...
EX: Error correction schemes for transmission of binary bits add
... Error correction schemes for transmission of binary bits add extra bits so errors can be detected and corrected. For example, an extra bit could be included to make the number of 1's in a transmission be an even number. A one-bit error may be detected at the receiving end by counting how many 1's ar ...
... Error correction schemes for transmission of binary bits add extra bits so errors can be detected and corrected. For example, an extra bit could be included to make the number of 1's in a transmission be an even number. A one-bit error may be detected at the receiving end by counting how many 1's ar ...
Fibinocci Numbers and The Golden Section
... For example, XI means 10+1=1 but IX means 1 less than 10 or 9. 8 is still written as VIII (not IIX) ...
... For example, XI means 10+1=1 but IX means 1 less than 10 or 9. 8 is still written as VIII (not IIX) ...
Task - Illustrative Mathematics
... the sum 1 + 1, the second blue box comes from finding the sum 2 + 2, and so on. If we double the numbers in the sequence 1, 2, 3, 4, 5 we get the sequence 2, 4, 6, 8, 10. c. The numbers on the diagonal going from bottom left to top right are shaded blue in the following picture: ...
... the sum 1 + 1, the second blue box comes from finding the sum 2 + 2, and so on. If we double the numbers in the sequence 1, 2, 3, 4, 5 we get the sequence 2, 4, 6, 8, 10. c. The numbers on the diagonal going from bottom left to top right are shaded blue in the following picture: ...
Find the next term - Dozenal Society of Great Britain
... To return to our number patterns. How few terms do we need to fix the pattern? Three? As in the sequence 1,2,3,.. or 2,4,6,.. But even the innocent-looking 1,2,3... is wide open - has the 3 been produced by adding a unit? Or is it, as in the Fibonacci sequence, the sum of the first two terms? The pa ...
... To return to our number patterns. How few terms do we need to fix the pattern? Three? As in the sequence 1,2,3,.. or 2,4,6,.. But even the innocent-looking 1,2,3... is wide open - has the 3 been produced by adding a unit? Or is it, as in the Fibonacci sequence, the sum of the first two terms? The pa ...
Factoring Special Polynomials
... What patterns do you see in the trinomials and their factors above? ...
... What patterns do you see in the trinomials and their factors above? ...
9 Digits in a 3x3 Matrix
... 1. Arrange the 9 digits in a 3 x 3 matrix in the form of an addition problem of two 3 digit numbers (i.e., the first row added to the second row equals the third row.) It may take a bit of trial and error to find the first answer that works. 2. Continue to find additional unique solutions. Look for ...
... 1. Arrange the 9 digits in a 3 x 3 matrix in the form of an addition problem of two 3 digit numbers (i.e., the first row added to the second row equals the third row.) It may take a bit of trial and error to find the first answer that works. 2. Continue to find additional unique solutions. Look for ...
ch-3-binary
... cumulative amount exceed Deal #1? Is there a single square containing an amount >= to Deal #1? If so, what is the first square contains enough pennies to beat Deal #1? If the pennies on square 64 were placed in a single stack, how high would it be? If all the pennies on the board were placed in a si ...
... cumulative amount exceed Deal #1? Is there a single square containing an amount >= to Deal #1? If so, what is the first square contains enough pennies to beat Deal #1? If the pennies on square 64 were placed in a single stack, how high would it be? If all the pennies on the board were placed in a si ...
Fibonacci sequencing
... outline. Looking carefully, you can see a centre point, where the florets are smallest. Look again, and you will see the florets are organised in spirals around this centre in both directions. ...
... outline. Looking carefully, you can see a centre point, where the florets are smallest. Look again, and you will see the florets are organised in spirals around this centre in both directions. ...
Grade 6 Math Circles Patterns Tower of Hanoi
... the Golden Ratio? It turns out that the Fibonacci Sequence and Golden Ratio has been long thought to have universal visual appeal. It appears in flower petals, the way that seeds grow, tree branches, shells, the galaxy, architecture, art, DNA molecules, and even our faces! The Golden Ratio’s visual ...
... the Golden Ratio? It turns out that the Fibonacci Sequence and Golden Ratio has been long thought to have universal visual appeal. It appears in flower petals, the way that seeds grow, tree branches, shells, the galaxy, architecture, art, DNA molecules, and even our faces! The Golden Ratio’s visual ...
Geometry Day One! Let`s review a little Algebra... Simplify: (what
... Defn: Inductive reasoning: using patterns or several examples to make a prediction. Conjecture: a conclusion reached by using inductive reasoning. Counterexample: an example for which a conjecture is false ...
... Defn: Inductive reasoning: using patterns or several examples to make a prediction. Conjecture: a conclusion reached by using inductive reasoning. Counterexample: an example for which a conjecture is false ...
Grade 8 Mathematics Arithmatic and Geometric Patterns and
... v The students will begin class by completing a problem of the day in their journals, where they will solve the problem and write a paragraph describing the steps they took to find the solution. Because my school’s schedule is based on a modified block schedule, I always choose problems that reinfor ...
... v The students will begin class by completing a problem of the day in their journals, where they will solve the problem and write a paragraph describing the steps they took to find the solution. Because my school’s schedule is based on a modified block schedule, I always choose problems that reinfor ...
8.16A Plan17.patterns - Texarkana Independent School District
... Explain to the class that the purpose of this lesson is to develop skills in the problem solving strategy of discovering and describing patterns in mathematical situations. Students must use inductive and deductive reasoning as they recognize and use patterns to explain, create and predict situation ...
... Explain to the class that the purpose of this lesson is to develop skills in the problem solving strategy of discovering and describing patterns in mathematical situations. Students must use inductive and deductive reasoning as they recognize and use patterns to explain, create and predict situation ...
chapter : 6 topic: division - GD Goenka Public School
... Odd + Even = Odd Numbers arranged in a series follow a pattern. Examples ...
... Odd + Even = Odd Numbers arranged in a series follow a pattern. Examples ...
Chapter 1.1 Patterns and Inductive Reasoning.notebook
... Find a pattern for the sequence. Use the pattern to show the next two terms in the sequence. ...
... Find a pattern for the sequence. Use the pattern to show the next two terms in the sequence. ...
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.