The purpose of this task is to emphasize the use of the Remainder Theorem (a discussion of which should obviously be considered as a prerequisite for the task) as a method for determining structure in polynomial in equations, and in this particular instance, as a replacement for division of polynomials.

All work on probability is based on ideas of randomness, an idea which has precise mathematical meaning, while being informally used in everyday life. This Nrich activity will lead to discussions of tricky ideas should challenge students' understanding.

This activity from Nrich mathematics encourages students to explore combinations and patterns systematically.

This task assumes students are familiar with mixing problems. This approach brings out different issues than simply asking students to solve a mixing problem, which they can often set up using patterns rather than thinking about the meaning of each part of the equations.

The problem deals with a rational expression which is built up from operations arising naturally in a context: adding the volumes of the fertilizer and the water, and dividing the volume of the fertilizer by the resulting sum. Thus it encourages students to see the expression as having meaning in terms of numbers and operations, rather than as an abstract arrangement of symbols.

This Nrich problem gives a clear context in which fractions, ratio and proportion can be investigated. When using the interactivity, students can develop strategies for comparing fractions or ratios while thinking about which strategies are most useful for different cases.

This undergraduate course focuses on traditional algebra topics that have found greatest application in science and engineering as well as in mathematics.

This Nrich problem gives learners the opportunity to practice addition, subtraction, multiplication and division of money, while it includes calculating with percentage. It is also a good context for developing a recording system and a systematic approach.

This Nrich activity gives pupils the opportunity to practice ordering and comparing fractions. It extends the idea of finding a fraction of a whole to finding a fraction of 2. Working together on this task will encourage pupils to build their fraction vocabulary.

This Nrich problem follows on from Twisting and Turning, in which students are introduced to an intriguing trick which provides a context for practicing manipulation of fractions. The trick is a hook to engage students' curiosity, leading to some intriguing mathematics to explore and explain, and ultimately generalize and prove.

This Nrich problem provides the children with an opportunity to practise multiplying a single digit number by a multiple of 10. It also reinforces learning about equations being balanced and may lead to conversations about common factors. It encourages children to record their results, notice patterns and make predictions.

This problem provides the children with an opportunity to practice multiplying a single digit number by a multiple of 100. It also reinforces learning about equations being balanced and may lead to conversations about common factors. It encourages children to record their results, notice patterns and make predictions.

This Nrich problem provides the children with an opportunity to practice multiplying a multiple of 10 by another multiple of 10. It also reinforces learning about equations being balanced and may lead to conversations about common factors. It encourages children to record their results, notice patterns and make predictions.

Intro lesson for multipling polynomials.  Basic level lesson.

(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)

En este módulo, los estudiantes exploran y experimentan la utilidad de analizar los desafíos de álgebra y geometría a través del marco de las coordenadas. El módulo se abre con un desafío de modelado, uno que vuelve a ocurrir en las lecciones, para usar la geometría de coordenadas para programar el movimiento de un robot que está vinculado dentro de una cierta región poligonal del avión en el que se encuentra. Para establecer el escenario para un trabajo complejo en geometría analítica (coordenadas de cálculo de puntos de intersección de líneas y segmentos de línea o las coordenadas de puntos que dividen segmentos dados en relaciones de longitud específicas, etc.), los estudiantes describirán la región a través de sistemas de algebraico desigualdades y trabajo para restringir el movimiento del robot a lo largo de los segmentos de línea dentro de la región.

Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.

English Description:
In this module, students explore and experience the utility of analyzing algebra and geometry challenges through the framework of coordinates. The module opens with a modeling challenge, one that reoccurs throughout the lessons, to use coordinate geometry to program the motion of a robot that is bound within a certain polygonal region of the plane—the room in which it sits. To set the stage for complex work in analytic geometry (computing coordinates of points of intersection of lines and line segments or the coordinates of points that divide given segments in specific length ratios, and so on), students will describe the region via systems of algebraic inequalities and work to constrain the robot motion along line segments within the region.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

This Nrich problem is an appealing way for children to recognize, interpret, describe and extend number sequences. Developing their own patterns, as in the later part of the activity, provides an opportunity for them to justify their own thinking, and evaluate others' patterns.

See how the equation form of Ohm's law relates to a simple circuit. Adjust the voltage and resistance, and see the current change according to Ohm's law. The sizes of the symbols in the equation change to match the circuit diagram.

This Nrich problem is based on the story of the three bears which is a good context in which to talk about ratio and proportion. In this case, it leads on to calculating with fractions.

Math Playground provides grade-level appropriate activities for math Operations and Algebraic Thinking with a variety of activities to engage students and strengthen their skills.