Scalene Triangle Study Guide
Definition:
A scalene triangle is a triangle with three unequal sides and three unequal angles.
Characteristics:
1. All three sides have different lengths.
2. All three angles have different measures.
Properties:
- The sum of the lengths of any two sides of a scalene triangle is greater than the length of the third side.
- The interior angles of a scalene triangle are also unequal.
Example:
Given the side lengths of a triangle as a = 5 cm, b = 7 cm, and c = 9 cm, determine if it is a scalene triangle.
Solution:
Since all three sides have different lengths (5, 7, and 9), the triangle is a scalene triangle.
.◂Math Worksheets and Study Guides Fourth Grade. Number Words and Place Value
Study Guide
Number Words and Place Value 
Worksheet/Answer key
Number Words and Place Value Worksheet/Answer key
Number Words and Place Value Worksheet/Answer key
Number Words and Place Value
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Number and Operations (NCTM)
Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals.
Algebra (NCTM)
Use mathematical models to represent and understand quantitative relationships.
Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.
Connections to the Grade 4 Focal Points (NCTM)
Number and Operations: Building on their work in grade 3, students extend their understanding of place value and ways of representing numbers to 100,000 in various contexts. They use estimation in determining the relative sizes of amounts or distances. Students develop understandings of strategies for multi-digit division by using models that represent division as the inverse of multiplication, as partitioning, or as successive subtraction. By working with decimals, students extend their ability to recognize equivalent fractions. Students' earlier work in grade 3 with models of fractions and multiplication and division facts supports their understanding of techniques for generating equivalent fractions and simplifying fractions.