This task helps students understand the meaning of the equal sign and to use it appropriately.

Learn about graphing polynomials. The shape of the curve changes as the constants are adjusted. View the curves for the individual terms (e.g. y=bx ) to see how they add to generate the polynomial curve.

Learn about graphing polynomials. The shape of the curve changes as the constants are adjusted. View the curves for the individual terms (e.g. y=bx ) to see how they add to generate the polynomial curve.

This task asks students to use inverse operations to solve the equations for the unknown variable, or for the designated variable if there is more than one. Two of the equations are of physical significance and are examples of Ohm's Law and Newton's Law of Universal Gravitation.

This task requires students to use the fact that on the graph of the linear equation y=ax+c, the y-coordinate increases by a when x increases by one. Specific values for c and d were left out intentionally to encourage students to use the above fact as opposed to computing the point of intersection, (p,q), and then computing respective function values to answer the question.

This art history video discussion examines the Equestrian Sculpture of Marcus Aurelius, bronze, c. 173-76 C.E., (Capitoline Museums, Rome). The original location of the sculpture is unknown though it had been housed in the Lateran Palace since the 8th century until it was placed in the center of the Piazza del Campidoglio by Michelangelo in 1538. The original is now indoors for purposes of conservation. Marcus Aurelius ruled 161-180 C.E.

This short video and interactive assessment activity is designed to teach third graders an overview - thousandths.

This short video and interactive assessment activity is designed to teach second graders an overview - equivalent decimals ending in zero.

This short video and interactive assessment activity is designed to give fourth graders an overview of - equivalent decimals ending in zero.

In this problem students must transform expressions using the distributive, commutative and associative properties to decide which expressions are equivalent.

This is a standard problem phrased in a non-standard way. Rather than asking students to perform an operation, expanding, it expects them to choose the operation for themselves in response to a question about structure. The problem aligns with A-SSE.2 because it requires students to see the factored form as a product of sums, to which the distributive law can be applied.

The purpose of this task is to directly address a common misconception held by many students who are learning to solve equations. Because a frequent strategy for solving an equation with fractions is to multiply both sides by a common denominator (so all the coefficients are integers), students often forget why this is an "allowable" move in an equation and try to apply the same strategy when they see an expression.

The purpose of the task is to get students to reflect on the definition of decimals as fractions (or sums of fractions), at a time when they are seeing them primarily as an extension of the base-ten number system and may have lost contact with the basic fraction meaning. Students also have their understanding of equivalent fractions and factors reinforced.

The accuracy and simplicity of this experiment are amazing. A wonderful project for students, which would necessarily involve team work with a different school and most likely a school in a different state or region of the country, would be to try to repeat Eratosthenes' experiment.

This art history video discussion examines the Caryatid (South Porch) and Ionic Column (North Porch), Erechtheion on the Acropolis, Athens, marble, 421-407 B.C.E. (British Museum, London). Mnesicles may have been the architect.

Students learn about water erosion through an experimental process in which small-scale buildings are placed along a simulated riverbank to experience a range of flooding conditions. They learn how soil conditions are important to the stability or failure of civil engineering projects and how a river's turns and bends (curvature, sinuosity) make a difference in the likelihood of erosion. They make model buildings either with a 3D printer or with LEGO® pieces and then see how their designs and riverbank placements are impacted by slow (laminar) and fast (turbulent) water flow over the soil. Students make predictions, observations and conclusions about the stability of their model houses, and develop ideas for how to mitigate damage in civil engineering projects.

Este libro fue elaborado teniendo en cuenta las necesidades del estudiante de habla hispana. El contenido combina elementos gramaticales con diversos y relevantes
temas del mundo de hoy. Al utilizar este libro de texto, el estudiante logrará mayores posibilidades en obtener el sello de bi-alfabetización. También desarrollará el idioma español y se sentirá motivado y seguro para tomar cursos más avanzados en la lengua. Finalmente, estará más preparado para incorporarse al entorno laboral teniendo más probabilidades de conseguir el éxito en cualquiera de las carreras donde el idioma español ya no es una opción, sino una necesidad.

In this lesson, students will look behind the story at the historical, social, and cultural circumstances that shape the narrative throughout Esperanza Rising. The lesson also invites students to contemplate some of the changes Esperanza undergoes as she grows into a responsible young woman and the contradictions that she experiences.

t is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the world around us. The second part of this challenge may require some specialist experience, but the authors of this book concentrate on the first part, and explore the extent to which elementary mathematics allows us all to understand something of the nature of mathematics from the inside.

The Essence of Mathematics consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline.

The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works.

How can we create focused opportunities for students to become more future-ready while utilizing a standards-based curriculum and assessment system? Project/Problem-Based Learning is one option.