Algebra 1 Laws Of Exponents, Simplifying Radicals, and Rational Exponents Unit 1
Title: 1-1 Zero and Negative Exponents
Date Range: Sept 30 – October 19th
Prior Knowledge: Simplify expressions, Evaluate expressions, Perform Order of Operations
Learning Target: Today in class I can simplify and evaluate expressions using the negative and zero exponent properties. / Date/Page number in textSuccess Criteria / Plan of action:
I can use patterns to discover the rules for zero and negative exponents.
I can make connections from positive and negative exponents. (They are reciprocals of each other.)
I can simplify expressions that have zero and negative exponents in them.
I can solve real world problems.
Performance of Understanding: Whiteboards, Explore Problem worksheet, foldable Assignments:
Title: 1-2 Multiplication Property of Exponents
Prior Knowledge: Simplify expressions, Evaluate expressions, Perform Order of Operations
Learning Target: Today in class I can simplify expressions using the Multiplication Property. / Date/Page number in textSuccess Criteria / Plan of action:
I can identify the base and the exponent of an expression.
I can write an exponential expression as repeated multiplication.
I can simplify expressions and explain which exponent rule I am using and why.
I can use these exponent rules to find area of a triangle.
Performance of Understanding: Guided Practice 1 and 2, foldableAssignments:
Title: 1-3 Division Properties of Exponents
Prior Knowledge: Simplify expressions, Evaluate expressions, Perform Order of Operations
Learning Target: Today in class I can use division properties of exponents to simplify expressions. / Date/Page number in textSuccess Criteria / Plan of action:
I can analyze solved problems to discover the rule when you divide exponents.
I can analyze solved problems to discover the rule when you have a fraction raised to an exponent.
I can simplify expressions using all six laws of exponents.
I can simplify expressions and use the laws to defend that my answers are equivalent.
I can use the laws of exponents to solve real world problems.
Performance of Understanding: Guided practice problems, foldableAssignments:
Title: 1-4 Simplifying Radical Expressions
Prior Knowledge: Prime Factorization, Knowledge of Perfect Squares
Learning Target: Today in class I can simplify radical expressions using perfect squares or by finding the prime factorization of that number. / Date/Page number in textSuccess Criteria / Plan of action:
I can use a factor tree to find the prime factorization of a number.
I can list the factors of any number.
I can use math vocabulary when describing a radical expression.
I can use the perfect squares to simplify a radical expression.
Performance of Understanding: white boardsAssignments:
Title: 1-5 Radicals and Rational Exponents
Prior Knowledge: Simplify Radical Expressions
Learning Target: Today in class I can convert radical expressions into rational exponents and vice versa. / Date/Page number in textSuccess Criteria / Plan of action:
I can identify patterns to discover the connection between equivalent radical expressions and rational exponents.
I can use math vocabulary when I describe my steps of a problem.
I can convert radical expressions in to rational exponents.
I can convert rational exponents into radical expressions.
Performance of Understanding: Explore worksheet, white boards Assignments:
Review Session: Assessment:
Unit Vocabulary:
Base
Exponent
Simplified Form
Product of Powers Property
Power of Power Property
Quotient of Powers Property
Power of a Quotient Property
Simplest Form
Prime Factorization
Factor
Square Root
Radicand
Index
Radical
Rational Power
Factor Tree
Rating scale:
1 – Novice: I looked at my notes and/or got help and still got the problems incorrect.
2 – Apprentice: My problems are mostly correct, but I am not very confident.
3 – Proficient: My problems are correct, but I used a resource(s) to help me solve the problem.
4 – Distinguished: My problems are correct and I did not use any resources.