Mathematics
Grade 7
15 min
Repeating patterns
Repeating patterns
What you'll learn
- Identify rational numbers as terminating or repeating decimals, and irrational numbers as non-terminating and non-repeating decimals, with 80% accuracy on a written assessment.
- Classify a given set of at least 10 numbers (including fractions, decimals, square roots, and pi) as either rational or irrational with 70% accuracy.
- Explain why a repeating decimal is a rational number and a non-repeating, non-terminating decimal is an irrational number in their own words, using mathematical vocabulary, in a short paragraph.
- Approximate the value of irrational numbers (such as √2 or π) to the nearest tenth using a calculator and justify why the result is an approximation and not an exact value.
Tutorial Preview
1
A pattern is 🍎, 🍌, 🍓, 🍎, 🍌, 🍓... What is the 10th fruit?
2
What is the 25th digit after the decimal in 5/11 = 0.454545...?
3
A sequence is 3, 7, 2, 8, 2, 8, 2, 8... What is the 15th term?
Sample Practice Questions
Easy
A pattern is A, B, A, B, A, B... What is the 5th letter?
0.A
1.B
2.C
3.D
Easy
What is the 10th digit after the decimal in 1/3 = 0.333...?
0.1
1.3
2.0
3.9
Easy
A sequence is 1, 2, 3, 2, 3, 2, 3... What is the 6th term?
0.1
1.2
2.3
3.5
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing FreeMore from Patterns & Problem Solving
Mathematics for other grades
Frequently asked questions
What grade level is "Repeating patterns"?
Repeating patterns is a Grade 7 Mathematics lesson on ExcelOS.
What will I learn in Repeating patterns?
You'll be able to: Identify rational numbers as terminating or repeating decimals, and irrational numbers as non-terminating and non-repeating decimals, with 80% accuracy on a written assessment; Classify a given set of at least 10 numbers….
Is "Repeating patterns" free to practice?
Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.
How many practice questions are included with Repeating patterns?
This lesson includes 24 practice questions across multiple difficulty levels, each with instant feedback and explanations.