Approximating Irrational Numbers -- Beginner Lesson
This class will enable your student to build foundational knowledge of approximating irrational numbers using a number line.
What's included
1 pre-recorded lesson
1 week
of teacher support1 year access
to the contentAssignments
1 hour per week. includedAssessment
includedClass Experience
US Grade 7 - 10
Beginner Level
The student will be able to approximate the value of an irrational number, square roots of numbers less than 225, and locate that rational number approximation on a number line. This class is designed to introduce approximating the value of irrational numbers, as well as help student differentiate between rational and irrational numbers. Students will use rational number approximations for the values of irrational numbers and locate those approximations on a number line. Students should have prior knowledge of decimals, ordering decimals on a number line, and the approximate value of pi (3.1 or 3.14 will be sufficient.)
Learning Goals
approximate the value of an irrational number, including π and square roots of numbers less
than 225, and locate that rational number approximation on a number line
Syllabus
Curriculum
Follows Teacher-Created CurriculumStandards
Aligned with State-Specific Standards1 Lesson
over 1 WeekLesson 1:
Approximating Irrational Numbers - Beginner Lesson
My lesson is about how to use a number line to approximate non-perfect square roots. This lesson supports Texas TEKS 8.2B. Other Details
Pre-Requisites
students should know multiplication facts up to 12x12, specifically those involving multiplying a number by itself. (Examples: 1 x 1, 2 x 2, 3 x 3, 4 x 4, 5 x 5, et.al.)
External Resources
In addition to the Outschool classroom, this class uses:
Joined November, 2024
Teacher expertise and credentials
Texas Teaching Certificate in Mathematics
Master's Degree in Education from Texas A&M -- Commerce
This topic is a commonly tested topic on the Texas 8th grade STAAR test. In addition, the skill is used when working with Pythagorean theorem in grade 8 and in Geometry. The skill will also be used when comparing and ordering real numbers, a twice tested topic in Texas 8th grade STAAR exams. Though the skill itself seems rather small, it is used in multiple areas, so mastery is essential. Plus, knowing this skill will build number sense.
The presentation of the skill provided was given and used with a 8-year-olds who had mastered multiplication facts and understood decimals to the tenths place. The 8-year-olds were able to master this skill. It was pretty impressive to watch them get so excited to compete against the 8th graders who were taking the class that the 8-year-olds were supposed to be "observing." They were so excited, they couldn't help but participate. Reviews
Self-Paced Class
$5
for all content1 pre-recorded lesson
1 week of teacher support
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1 year of access to the content
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Ages: 11-16
