Curriculum / Math / 8th Grade / Unit 1: Exponents and Scientific Notation / Lesson 2
Math
Unit 1
8th Grade
Lesson 2 of 15
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Evaluate numerical and algebraic expressions with exponents using the order of operations.
The core standards covered in this lesson
8.EE.A.1 — Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3² × 3<sup>-5</sup> = 3<sup>-3</sup> = 1/3³ = 1/27.
The foundational standards covered in this lesson
6.EE.A.1 — Write and evaluate numerical expressions involving whole-number exponents.
6.EE.A.2 — Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.A.2.C — Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s³ and A = 6 s² to find the volume and surface area of a cube with sides of length s = 1/2.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
This is the second of three review lessons approaching 8.EE.1 intended to cover concepts and skills involving exponents. This lesson can be extended or condensed as appropriate for your students.
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
Two expressions are shown below.
Expression A: $${(2^2+3^2)}$$
Expression B: $${(2+3)^2}$$
Are the two expressions equivalent? What is your process to evaluate each one?
Evaluate the following expression:
$${{2-4(-2-1)^2}\over{\left ({1\over2} \right )^2}}$$
Evaluate the expression when $${x=2}$$ and $${y=-3}$$
$${{xy}^2 + xy}$$
A set of suggested resources or problem types that teachers can turn into a problem set
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
Find the value of the expression below when $${x=-1}$$ and $${y=2}$$
$${3x + y^2 - (x^y+y)}$$
An example response to the Target Task at the level of detail expected of the students.
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Lesson 1
Lesson 3
Topic A: Review of Exponents
Review exponent notation and identify equivalent exponential expressions.
8.EE.A.1
Investigate patterns of exponents with positive/negative bases and even/odd bases.
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Topic B: Properties of Exponents
Investigate exponent patterns to write equivalent expressions.
Apply the product of powers rule and the quotient of powers rule to write equivalent, simplified exponential expressions.
Apply the power of powers rule and power of product rule to write equivalent, simplified exponential expressions.
Reason with zero exponents to write equivalent, simplified exponential expressions.
Reason with negative exponents to write equivalent, simplified exponential expressions.
Simplify and write equivalent exponential expressions using all exponent rules.
Topic C: Scientific Notation
Write large and small numbers as powers of 10.
8.EE.A.3 8.EE.A.4
Define and write numbers in scientific notation.
8.EE.A.3
Compare numbers written in scientific notation.
Multiply and divide with numbers in scientific notation. Interpret scientific notation on calculators.
8.EE.A.4
Add and subtract with numbers in scientific notation.
Solve multi-step applications using scientific notation and properties of exponents.
8.EE.A.1 8.EE.A.3 8.EE.A.4
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