Math
... An old Chinese woman on the way to the market came upon a horse and rider. The horse stepped on her basket and crushed the eggs in her basket. The rider offered to pay for the broken eggs and asked how many eggs were in the basket. She did not remember the exact number, but when she had taken them o ...
... An old Chinese woman on the way to the market came upon a horse and rider. The horse stepped on her basket and crushed the eggs in her basket. The rider offered to pay for the broken eggs and asked how many eggs were in the basket. She did not remember the exact number, but when she had taken them o ...
Trimester PDF
... Describe a sequence that exhibits the similarity between two similar two-dimensional figures State informal arguments to establish facts about the angle sum of triangles State informal arguments to establish facts about the exterior angle of triangles State informal arguments to establish facts abou ...
... Describe a sequence that exhibits the similarity between two similar two-dimensional figures State informal arguments to establish facts about the angle sum of triangles State informal arguments to establish facts about the exterior angle of triangles State informal arguments to establish facts abou ...
GRADE 8 STAAR Format Mini-Assessments And Periodic
... apply mathematics to problems arising in everyday life, society, and the workplace use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonable ...
... apply mathematics to problems arising in everyday life, society, and the workplace use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonable ...
mathematics 2º eso - IES Andrés de Vandelvira
... We will read the numbers in our own way although we must be capable of recognize the correct meaning of numbers when the information comes to us from USA, for example. ...
... We will read the numbers in our own way although we must be capable of recognize the correct meaning of numbers when the information comes to us from USA, for example. ...
Enrichment
... Jaime Escalante (1930– ) was born in La Paz, Bolivia, and came to the United States in 1963. For ten years, he worked at odd jobs to support himself and his family while pursuing his dream—becoming certified to teach high school mathematics in California. As a mathematics teacher, he has become well ...
... Jaime Escalante (1930– ) was born in La Paz, Bolivia, and came to the United States in 1963. For ten years, he worked at odd jobs to support himself and his family while pursuing his dream—becoming certified to teach high school mathematics in California. As a mathematics teacher, he has become well ...
Ratio and Proportion
... If n’ is a positive integer, and ‘a’ is a real number ,i.e n€N and a € R (where ‘n’ is the set of all positive numbers and R is the set of all real numbers), a’ is used to continue product of ‘n ‘factors each equal to ‘a’ as shown as bellow: ...
... If n’ is a positive integer, and ‘a’ is a real number ,i.e n€N and a € R (where ‘n’ is the set of all positive numbers and R is the set of all real numbers), a’ is used to continue product of ‘n ‘factors each equal to ‘a’ as shown as bellow: ...
Grade 6 – Number and Operation
... Former Standards Algebra I Gateway 2008-2009 Evaluate a first degree algebraic expression given values for one or more variables. A Evaluate an algebraic expression given values for one or more variables using grouping symbols and/or exponents less than four. ...
... Former Standards Algebra I Gateway 2008-2009 Evaluate a first degree algebraic expression given values for one or more variables. A Evaluate an algebraic expression given values for one or more variables using grouping symbols and/or exponents less than four. ...
Year 6 Mathematics QCAT 2012 student booklet
... • hold a single layer of either large or small healthy Part 2: Planning to raise money for charity to: When planning for the charity gift pack sales, you need hy snacks • describe the different ways of arranging the healt • calculate the sale price for each pack. ...
... • hold a single layer of either large or small healthy Part 2: Planning to raise money for charity to: When planning for the charity gift pack sales, you need hy snacks • describe the different ways of arranging the healt • calculate the sale price for each pack. ...
4Fractions - IES Andrés de Vandelvira
... The reciprocal of a fraction is obtained by switching its numerator and denominator. We can also take the cross product. To divide a number by a fraction, multiply the number by the reciprocal of the fraction. ...
... The reciprocal of a fraction is obtained by switching its numerator and denominator. We can also take the cross product. To divide a number by a fraction, multiply the number by the reciprocal of the fraction. ...
lecture12-orig - School of Computer Science
... Given any CF representation of , each convergent of the CF is a best approximator for ! ...
... Given any CF representation of , each convergent of the CF is a best approximator for ! ...
mathematical induction
... • A pair of male and female rabbits always breed and produce another pair of male and female rabbits. • A rabbit becomes sexually mature after one month, and that the gestation period is also one month. ...
... • A pair of male and female rabbits always breed and produce another pair of male and female rabbits. • A rabbit becomes sexually mature after one month, and that the gestation period is also one month. ...
Common Core State Standards (CCSS) for Mathematics
... numbers with representations in words, physical models, and expanded and standard forms. (DOK 1) 3.1.c. Estimate sums and differences of whole numbers to include strategies such as rounding. (DOK 2) 3.1.e. Add (up to three addends) and subtract fourdigit whole numbers with and without regrouping. (D ...
... numbers with representations in words, physical models, and expanded and standard forms. (DOK 1) 3.1.c. Estimate sums and differences of whole numbers to include strategies such as rounding. (DOK 2) 3.1.e. Add (up to three addends) and subtract fourdigit whole numbers with and without regrouping. (D ...
Grade 8 Alternate Eligible Math Content
... Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative correlation, linear association, and nonlinear association. M08.D-S.1.1.2 For scatter plots that su ...
... Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative correlation, linear association, and nonlinear association. M08.D-S.1.1.2 For scatter plots that su ...
Guided Practice Example 1
... • A monomial is a number, a variable, or the product of a number and variable(s). (Example: 5x2, 4, y) • A polynomial is a monomial or the sum of monomials. A polynomial can have any number of terms. • A binomial is a polynomial with two terms. (Example: 6x + 9) • A trinomial is a polynomial with th ...
... • A monomial is a number, a variable, or the product of a number and variable(s). (Example: 5x2, 4, y) • A polynomial is a monomial or the sum of monomials. A polynomial can have any number of terms. • A binomial is a polynomial with two terms. (Example: 6x + 9) • A trinomial is a polynomial with th ...
Grade 6 Alternate Eligible Math Content
... Determine the opposite of a number and recognize that the opposite of the opposite of a number is the number itself (e.g., –(–3) = 3; 0 is its own opposite). M06.A-N.3.1.3 Locate and plot integers and other rational numbers on a horizontal or vertical number line; locate and plot pairs of integers a ...
... Determine the opposite of a number and recognize that the opposite of the opposite of a number is the number itself (e.g., –(–3) = 3; 0 is its own opposite). M06.A-N.3.1.3 Locate and plot integers and other rational numbers on a horizontal or vertical number line; locate and plot pairs of integers a ...
picture_as_pdf Mathematics Grades 10–12
... individual interests, abilities, needs and career goals. They come to school with varying knowledge, life experiences, expectations and backgrounds. A key component in developing mathematical literacy in students is making connections to these backgrounds, experiences, goals and aspirations. Student ...
... individual interests, abilities, needs and career goals. They come to school with varying knowledge, life experiences, expectations and backgrounds. A key component in developing mathematical literacy in students is making connections to these backgrounds, experiences, goals and aspirations. Student ...
Presentation
... Transformations of the Plane • Think of a plane as a sheet of overhead projector transparency, or a sheet of paper. • Consider an aerial photo of a portion of a city. Map each point on the street to a point on your paper (the map) in a way that intuitively “preserves the shape” (foreshadowing simila ...
... Transformations of the Plane • Think of a plane as a sheet of overhead projector transparency, or a sheet of paper. • Consider an aerial photo of a portion of a city. Map each point on the street to a point on your paper (the map) in a way that intuitively “preserves the shape” (foreshadowing simila ...
Algebraic Relationships
... red” is the same in form as “clap, clap, step, clap, clap, step, clap, clap, step.” This recognition lays the foundation for the idea that two very different situations can have the same mathematical features and are the same in some important ways. Knowing that each pattern could be described as ha ...
... red” is the same in form as “clap, clap, step, clap, clap, step, clap, clap, step.” This recognition lays the foundation for the idea that two very different situations can have the same mathematical features and are the same in some important ways. Knowing that each pattern could be described as ha ...
Mathematical Olympiad in China : Problems and Solutions
... mathematics over the subsequent decades had indirectly influenced the types of questions set in IMO. An internationally recognized prize named after Erdos was to honour those who had contributed to the education of mathematical competition. Professor Qiu Zonghu from China had won the prize in 1993. ...
... mathematics over the subsequent decades had indirectly influenced the types of questions set in IMO. An internationally recognized prize named after Erdos was to honour those who had contributed to the education of mathematical competition. Professor Qiu Zonghu from China had won the prize in 1993. ...
Mathematics and art
Mathematics and art are related in a variety of ways. Mathematics has itself been described as an art motivated by beauty. Mathematics can be discerned in arts such as music, dance, painting, architecture, sculpture, and textiles. This article focuses, however, on mathematics in the visual arts.Mathematics and art have a long historical relationship. Artists have used mathematics since the 5th century BC when the Greek sculptor Polykleitos wrote his Canon, prescribing proportions based on the ratio 1:√2 for the ideal male nude. Persistent popular claims have been made for the use of the golden ratio in ancient times, without reliable evidence. In the Italian Renaissance, Luca Pacioli wrote the influential treatise De Divina Proportione (1509), illustrated with woodcuts by Leonardo da Vinci, on the use of proportion in art. Another Italian painter, Piero della Francesca, developed Euclid's ideas on perspective in treatises such as De Prospectiva Pingendi, and in his paintings. The engraver Albrecht Dürer made many references to mathematics in his work Melencolia I. In modern times, the graphic artist M. C. Escher made intensive use of tessellation and hyperbolic geometry, with the help of the mathematician H. S. M. Coxeter, while the De Stijl movement led by Theo van Doesberg and Piet Mondrian explicitly embraced geometrical forms. Mathematics has inspired textile arts such as quilting, knitting, cross-stitch, crochet, embroidery, weaving, Turkish and other carpet-making, as well as kilim.Mathematics has directly influenced art with conceptual tools such as linear perspective, the analysis of symmetry and mathematical objects such as polyhedra and the Möbius strip. The construction of models of mathematical objects for research or teaching has led repeatedly to artwork, sometimes by mathematicians such as Magnus Wenninger who creates colourful stellated polyhedra. Mathematical concepts such as recursion and logical paradox can be seen in paintings by Rene Magritte, in engravings by M. C. Escher, and in computer art which often makes use of fractals, cellular automata and the Mandelbrot set. Controversially, the artist David Hockney has argued that artists from the Renaissance onwards made use of the camera lucida to draw precise representations of scenes; the architect Philip Steadman similarly argued that Vermeer used the camera obscura in his distinctively observed paintings.Other relationships include the algorithimic analysis of artworks by X-ray fluorescence spectroscopy; the stimulus to mathematics research by Filippo Brunelleschi's theory of perspective which eventually led to Girard Desargues's projective geometry; and the persistent view, based ultimately on the Pythagorean notion of harmony in music and the view that everything was arranged by Number, that God is the geometer of the world, and that the world's geometry is therefore sacred. This is seen in artworks such as William Blake's The Ancient of Days.