Essential Questions:
What does it mean when my calculator reads 5.6 x 10^13?
What will my calculator say when I multiply 560 x 100,000,000?
How can I enter 56,000,000,000 in my calculator?
The sun is 9.3 x 10^7 miles away from earth, what does that mean? (is this too broad?)
The nearest star is _____________miles away, how do you write numbers that are very large?
Big Ideas:
Exponents express the value of a number in various forms. (Example: 56,000,000,000 = 5.6 x 10^10/(3.6 x 105)/(1.2 x 103 )
Exponential growth can have an amazing impact in a small amount time.
Unit 2 instructional time will be focused on these power standards:
8.EE.A.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions.
8.EE.A.2: Use square root and cube root symbols to represent solutions to equations of the for x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of perfect cubes. Know that √2 is irrational.
8.EE.A.4: 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.
8.NS.A.2: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2).
Unit 2 instruction will be supported by these standards:
8.EE.A.3: Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
8.NS.A.1: Know that numbers are not rational are called irrational. Understand informally that every number has a decimal expansion; the rational numbers are those with decimal expansions that terminate in 0s or eventually repeat. Know that other numbers are called irrational.
What does it mean when my calculator reads 5.6 x 10^13?
What will my calculator say when I multiply 560 x 100,000,000?
How can I enter 56,000,000,000 in my calculator?
The sun is 9.3 x 10^7 miles away from earth, what does that mean? (is this too broad?)
The nearest star is _____________miles away, how do you write numbers that are very large?
Big Ideas:
Exponents express the value of a number in various forms. (Example: 56,000,000,000 = 5.6 x 10^10/(3.6 x 105)/(1.2 x 103 )
Exponential growth can have an amazing impact in a small amount time.
Unit 2 instructional time will be focused on these power standards:
8.EE.A.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions.
8.EE.A.2: Use square root and cube root symbols to represent solutions to equations of the for x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of perfect cubes. Know that √2 is irrational.
8.EE.A.4: 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.
8.NS.A.2: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2).
Unit 2 instruction will be supported by these standards:
8.EE.A.3: Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
8.NS.A.1: Know that numbers are not rational are called irrational. Understand informally that every number has a decimal expansion; the rational numbers are those with decimal expansions that terminate in 0s or eventually repeat. Know that other numbers are called irrational.
Topic 1: Rational/Irrational Numbers


Topic 2: Exponents

Topic 3: Square Root

Topic 4: Scientific Notation

How Long Would It Take to Drive to Pluto? (NPR story discussing distance)

vocabularybase
cube root exponent integer irrational natural numbers perfect square power power rule rational repeating decimal scientific notation square root terminating decimal whole numbers AssessmentPre Assessment
Real World Experience Post Assessment Formative Assessment 
Unit Resources 
Learn the MathPArent Letter 