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# Math Discovery Lab: Square Roots, Multiples of 10, Rational vs Irrational

Grade Levels
Common Core Standards
Product Rating
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Product Description
This is one of a series of self-guided discovery labs for a meaningful understanding of core mathematical concepts. Students use the familiar format of the scientific method to answer a mathematical question/problem. In this lab, students investigate the relationships among square roots, perfect squares, and positive and negative powers of ten (10). This math lab also explores when the square root of numbers such as 0.016, 0.16, 1.6, 16, 160, 1600 are rational or irrational. Full answer key and suggestions are provided.

[NOTE: Although this lab includes information regarding the positive and negative powers of 10, it isn't necessary for students to have mastered this concept prior to this lab. Students should be familiar with: perfect squares, decimals are based on 10s, and numbers ending with any amount of zeros are multiples of 10. Regardless of prior knowledge, the focus for this lab is an extension of the students' understanding of perfect squares and square roots. Differentiated student answers are provided in the answer key. If necessary, see below for a small bundle of 2 Math Discovery Labs on: Powers of 10 & Multiplying/Dividing by Powers of 10.]

Students figure out independently that math is consequential, useful, and practical, and that there’s a reason for why things work as they do. Most importantly, students are significantly more likely to understand and apply concepts they have discovered on their own. Presented in the format of the well-known scientific method, the math labs ask students to independently complete an exercise with minimal teacher instruction. The teacher provides guiding questions as needed, students record their data, observations, conclusions and interpretations. The class shares observations and solidifies the meaning and their conclusions.

OTHER MATH DISCOVERY LABS OFFERED:
• 2 Math Labs Bundled ~ Powers of 10 Lab & Multiply/Divide by Powers of 10 Lab:
https://www.teacherspayteachers.com/Product/Math-Discovery-Labs-Powers-of-Ten-10-Multiplying-and-Dividing-by-Tens-10s-2039514

• Bundled 16 Math Labs: https://www.teacherspayteachers.com/Product/Math-Discovery-Labs-16-Bundled-2036782
CONCEPTS:
Adding Integers
Multiply/Divide Integers
Powers of 10
Multiply/Divide by Powers of 10
Inequalities
Integer Exponents
Square Roots
Linear Functions: Slope
Linear Functions: y=mx
Linear Functions: y=mx + b
Quadratic Functions: y=ax^2
Quadratic Functions: y=ax^2 + c
Quadratic Functions: y=ax^2 + bx
Ellipse
Golden Ratio
Template to Create Your Own Math Labs
Total Pages
6 pages
Answer Key
Included
Teaching Duration
2 days
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