## Go With Green Rectangles

### Blue Squares and Beyond

6-8

This Internet Mathematics Excursion is a pre-activity for E-example 6.3
from the NCTM Principles and Standards for School Mathematics. This is
the first in a sequence of four lessons designed for students to
understand ratio, proportion, scale factor, and similarity. This lesson
invites students to manipulate two rectangles to create examples of
similarity and to study the effects on area ratios. Students sketch
similar figures, verify proportionality, and apply these concepts to
structures in their world.### Fill'r Up

6-8

This Internet Mathematics Excursion is based on E-example 6.3.2
from the NCTM Principles and Standards for School Mathematics. This is
the third in a sequence of four lessons designed for students to
understand scale factor and volume of various rectangular prisms. In
this lesson, the student can manipulate the scale factor that links two
three-dimensional rectangular prisms and learn about the relationships
between edge lengths and volumes.### Purple Prisms

6-8

This Internet Mathematics Excursion is based on E-example 6.3.2
from the NCTM Principles and Standards for School Mathematics. This is
the last activity in a sequence of four lessons designed for students
to understand scale factor and surface area of various rectangular
prisms. Students manipulate the scale factor that links two
three-dimensional rectangular prisms to learn about edge lengths and
surface area relationships.### Learning Objectives

### Common Core State Standards – Mathematics

Grade 6, Ratio & Proportion

- CCSS.Math.Content.6.RP.A.1

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, ''The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.'' ''For every vote candidate A received, candidate C received nearly three votes.''

Grade 8, Geometry

- CCSS.Math.Content.8.G.A.4

Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.