Stretching and Shrinking - Concepts and Explanations - Connected Mathematics ProjectMenu Quantile Tools. Main Menu. Use proportions to express relationships between corresponding parts of similar figures. Use proportional reasoning to solve problems related to similar polygons. Identify corresponding parts of similar and congruent figures. Determine and use scale factors to reduce and enlarge drawings on grids to produce dilations. Transform translate, reflect, rotate, dilate polygons in the coordinate plane; describe the transformation in simple algebraic terms.
Pre-Calculus - Applying stretching and shrinking transformations
Stretching and Shrinking - Understanding Similarity - Connected Mathematics 3, Teacher's Guide
Nanoscale Research Letters. December , Cite as. The skin friction coefficient, Nusselt number, and the velocity and temperature profiles are presented graphically and discussed. Different from a stretching sheet, it is found that the solutions for a shrinking sheet are non-unique. Stagnation-point flow, describing the fluid motion near the stagnation region of a solid surface exists in both cases of a fixed or moving body in a fluid.
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Similarity, corresponding angles, corresponding sides, scale factor, ratio, Rep-Tiles, triangles, parallelograms. It also promotes algebraic thinking with the use of algebraic rules to produce similar or non-similar figures. In the CCSS, the word similarity is not mentioned. Instead, CCSS ask students to create scale drawings and use these drawings to investigate the relationship between lengths, perimeter, and area of two scaled drawings. In this unit we use the words similar figures and scale drawings interchangeably. Very little change has been made to the original content of this unit. The original five investigations have been arranged into four investigations.
Two figures are similar if: 1 the measures of their corresponding angles are equal and 2 the lengths of their corresponding sides increase by the same factor, called the scale factor. So, the scale factor from Figure A to Figure B is 1. Figure A stretches or is enlarged by a factor of 1. The number used to multiply the lengths of a figure to stretch or shrink it into a similar image. A scale factor larger than 1 will enlarge a figure.