At the end of this lesson, students will be able to:
Solve problems with exponents
Solve problems with square roots
Read and create numbers using scientific notation
Student Target
“I can solve problems with exponents and roots.”
CCR Focus Standards
Number and Ratios - Level D
Algebra and Functions - Level C
Write and evaluate numerical expressions involving whole-number exponents.
Supporting Standards
Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
Standards for Mathematical Practice
Reason abstractly and quantitatively. (MP.2)
Attend to precision. (MP.6)
KYAE Employability Standards
E.7 Accurately analyze information and respond appropriately.
E.9 Analyze self-performance to better understand strengths and areas for improvement.
