This document outlines the units, lessons, and standards covered in an Introductory Algebra 1B course. The course covers exponents, monomials, polynomials, factoring polynomials, quadratic equations, functions, rational and radical expressions/equations, transformations, and probability. Key standards addressed include evaluating and simplifying algebraic expressions, factoring quadratic expressions, solving algebraic equations and functions, working with quadratic functions and the quadratic formula, and performing transformations and calculating probabilities.

1. Introductory Algebra 1B: Course Standards
Unit 5: Exponents, monomials, and polynomials
Lesson 20: Properties of exponents
Lesson 21: Monomials
Lesson 22: Polynomials
Lesson 23: Factoring polynomials
Lesson 24: Factoring special polynomials
Standards:
1A.2 – Evaluate, compute with, and determine equivalent numeric and algebraic
expressions with real numbers.
1A.5 – Factor quadratic expressions of the form ax + bx + c .
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1A.7 – Simplify and evaluate algebraic expressions.
Unit 6: Relations, functions, & quadratic equations
Lesson 25: Introduction to quadratic equations & their graphs
Lesson 26: Solving quadratic equations by factoring
Lesson 27: Solving quadratic equations by completing the square
Lesson 28: The quadratic formula
Lesson 29: Applications of quadratic equations
Lesson 30: Functions & function notation
Standards:
1A.2 – Evaluate, compute with, and determine equivalent numeric and algebraic
expressions with real numbers.
1A.5 – Factor quadratic expressions of the form ax + bx + c .
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1A.8 – Solve algebraic functions for a given variable.
3A.3 – Compare the characteristics of and distinguish among various types of functions
that are expressed algebraically or graphically, and interpret the domain and
range of each.
3A.5 – Given a quadratic function of the form ax + bx + c , determine and interpret the
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roots, vertex, and equation for axis of symmetry both graphically and
algebraically.
3A.6 – Use the quadratic formula to find the roots of quadratic equations.
3A.7 – Use quadratic equations in context to solve problems
Unit 7: Rational & radical expressions & equations
Lesson 31: Rational expressions
Lesson 32: Special rational equations
Lesson 33: Rational equations
Lesson 34: Radical expressions
Lesson 35: Finding square roots
Lesson 36: Radical equations
Standards:
1A.3 – Express square roots in equivalent radical form and their decimal approximations
when appropriate.
1A.7 – Simplify and evaluate algebraic expressions.
1A.8 – Solve algebraic equations for a given variable.
3G.4 – Apply the distance formula to solve problems.
Unit 8: Transformations
Lesson 37: Symmetry
Lesson 38: Translations
Lesson 39: Reflections
Lesson 40: Rotations
Lesson 41: Size transformations
Standards:
3G.1 – Recognize and identify line and rotational symmetry of figures.
3G.2 – Identify and perform transformations of figures.

2. Unit 9: Probability
Lesson 42: Experimental and theoretical probabilities
Lesson 43: Independent and dependent probabilities
Lesson 44: Multiple-stage experiments
Standards:
2S.1 – Identify, analyze, and use both experimental and theoretical probability to estimate
and calculate the probability of simple events.
2S.3 – Compute and interpret probabilities for independent, dependent, conditional, and
compound events using various methods.