Academic Standard

Geometry and Measurement
Initiative: 
Tennessee Diploma Project
Set: 
Mathematics
Type: 
Standard
Code: 
4
Grade range: 
No grade range
Conceptual StrandGeometry studies geometric shapes and structures and their characteristics and relationships. Understanding what a measurable attribute is and becoming familiar with the units and processes that are used in measuring attributes are the major emphasis of this standard.Guiding QuestionHow can students make and explore conjectures about geometry and reason carefully about geometric ideas while expanding their understanding of precision in measurement?
 
Elements within this Standard
 
Grade Level Expectation
Understand the application of proportionality with similar triangles.
Apply proportionality to converting among different units of measurements to solve problems involving rates such as motion at a constant speed.
Understand and use scale factor to describe the relationships between length, area, and volume.
Understand and use ratios, derived quantities, and indirect measurements.
Check For Understanding
Solve problems involving indirect measurement such as finding the height of a building by comparing its shadow with the height and shadow of a known object.
Use similar triangles and proportionality to find the lengths of unknown line segments in a triangle.
Understand that if a scale factor describes how corresponding lengths in two similar objects are related, then the square of the scale factor describes how
Compare angles, side lengths, perimeters and areas of similar shapes.
Solve problems using ratio quantities: velocity (measured in units such as miles per hour), density (measured in units such as kilograms per liter), pressure
State Performance Indicator
Solve contextual problems involving similar triangles.
Use SSS, SAS, and AA to determine if two triangles are similar.
Apply scale factor to solve problems involving area and volume.