# Strip Diagram Multiplication

beautiful strip diagram multiplication or grade tape strip diagram worksheets for adding and 98 strip diagrams multiplication 4th grade.

lovely strip diagram multiplication or strip diagrams multiplication 76 strip diagrams multiplication 4th grade.

strip diagram multiplication and doubles addition anchor chart strip diagram multiplication 34 math strip diagram multiplication.

idea strip diagram multiplication for strip diagrams images gallery 79 math strip diagram multiplication.

new strip diagram multiplication for tape diagram addition and subtraction worksheets strip ratio diagrams sixth grade math common core 26 math strip diagram multiplication.

fresh strip diagram multiplication and kg 21 strip diagram multiplication worksheets.

beautiful strip diagram multiplication or diagram of the heart simple draw and label a tape to subtract tens math problems addition 72 strip diagram multiplication problems.

luxury strip diagram multiplication or strip diagram grade multiplication worksheets trusted wiring 83 strip diagrams multiplication 4th grade.

idea strip diagram multiplication or decomposing fractions grade search results grade tape diagram grade tape diagram 26 strip diagram multiplication word problems.

fresh strip diagram multiplication for strip diagrams anchor charts solving multi step problems 69 strip diagram multiplication word problems.

ideas strip diagram multiplication and what is a tape diam in de math fifth word problems worksheets best of 67 strip diagram multiplication anchor chart.

beautiful strip diagram multiplication and strip diagram of anchor charts images gallery 95 math strip diagram multiplication.

best of strip diagram multiplication or problem solving with tape diagrams multiplication and division 36 strip diagram multiplication anchor chart.

strip diagram multiplication for x pregnancy test kit testing strips wide ml strip diagram multiplication diagram math strip 79 strip diagram multiplication word problems.

inspirational strip diagram multiplication and strip diagram grade worksheets tape multiplication worksheet luxury 7 learning printable minute math d 78 strip diagrams multiplication 4th grade.

idea strip diagram multiplication or problem solving with tape diagrams multiplication and division 55 strip diagrams multiplication 4th grade.

awesome strip diagram multiplication for tape diagram multiplication number sentence set 5 23 strip diagram multiplication worksheets.

lovely strip diagram multiplication and strip diagram multiplication worksheets diagram 74 math strip diagram multiplication.

good strip diagram multiplication and gra multiplying fractions using a tape diagram math fraction 58 strip diagrams multiplication 4th grade.

unique strip diagram multiplication and strip diagrams anchor chart gardens es 48 strip diagram multiplication word problems.

fresh strip diagram multiplication or lesson 6 1 multiplication and division number stories addition subtraction diagram multiplication table diagram 88 strip diagrams multiplication 4th grade.

The structure of this humble diagram was formally developed by the mathematician John Venn, but its roots go back as far as the 13th Century, and includes many stages of evolution dictated by a number of noted logicians and philosophers. The earliest indications of similar diagram theory came from the writer Ramon Llull, whos initial work would later inspire the German polymath Leibnez. Leibnez was exploring early ideas regarding computational sciences and diagrammatic reasoning, using a style of diagram that would eventually be formalized by another famous mathematician. This was Leonhard Euler, the creator of the Euler diagram.

Euler diagrams are similar to Venn diagrams, in that both compare distinct sets using logical connections. Where they differ is that a Venn diagram is bound to show every possible intersection between sets, whether objects fall into that class or not; a Euler diagram only shows actually possible intersections within the given context. Sets can exist entirely within another, termed as a subset, or as a separate circle on the page without any connections - this is known as a disjoint. Furthering the example outlined previously, if a new set was introduced - birds - this would be shown as a circle entirely within the confines of the mammals set (but not overlapping sea life). A fourth set of trees would be a disjoint - a circle without any connections or intersections.

A Venn diagram, sometimes referred to as a set diagram, is a diagramming style used to show all the possible logical relations between a finite amount of sets. In mathematical terms, a set is a collection of distinct objects gathered together into a group, which can then itself be termed as a single object. Venn diagrams represent these objects on a page as circles or ellipses, and their placement in relation to each other describes the relationships between them. Commonly a Venn diagram will compare two sets with each other. In such a case, two circles will be used to represent the two sets, and they are placed on the page in such a way as that there is an overlap between them. This overlap, known as the intersection, represents the connection between sets - if for example the sets are mammals and sea life, then the intersection will be marine mammals, e.g. dolphins or whales. Each set is taken to contain every instance possible of its class; everything outside the union of sets (union is the term for the combined scope of all sets and intersections) is implicitly not any of those things - not a mammal, does not live underwater, etc.

Logician John Venn developed the Venn diagram in complement to Eulers concept. His diagram rules were more rigid than Eulers - each set must show its connection with all other sets within the union, even if no objects fall into this category. This is why Venn diagrams often only contain 2 or 3 sets, any more and the diagram can lose its symmetry and become overly complex. Venn made allowances for this by trading circles for ellipses and arcs, ensuring all connections are accounted for whilst maintaining the aesthetic of the diagram.

Usage for Venn diagrams has evolved somewhat since their inception. Both Euler and Venn diagrams were used to logically and visually frame a philosophical concept, taking phrases such as some of x is y, all of y is z and condensing that information into a diagram that can be summarized at a glance. They are used in, and indeed were formed as an extension of, set theory - a branch of mathematical logic that can describe objects relations through algebraic equation. Now the Venn diagram is so ubiquitous and well ingrained a concept that you can see its use far outside mathematical confines. The form is so recognizable that it can shown through mediums such as advertising or news broadcast and the meaning will immediately be understood. They are used extensively in teaching environments - their generic functionality can apply to any subject and focus on my facet of it. Whether creating a business presentation, collating marketing data, or just visualizing a strategic concept, the Venn diagram is a quick, functional, and effective way of exploring logical relationships within a context.