9.1 Properties of Radicals
9.1a Simplifying Radical Expressions
9.1b Adding and Subtracting Radical Expressions
9.1c Multiplying and Dividing Radical Expressions
9.1d Review of Radical Expressions & Cubic Roots
9.1e Simplifying Radical Expressions with Conjugates
9.2 Solving Quadratic Equations by Graphing
9.3 Solving Quadratic Equations by Square Roots
9.4a Solving Quadratic Equations by Completing the Square
9.5 Solving Quadratic Equations Using the Quadratic Formula
9.5a The Quadratic Formula
9.5b The Discriminant
9.4b Writing Quadratic Equations in Vertex Form by Completing the Square
9.1a – Simplifying Radical Expressions
Students will simplify square root expressions by factoring out perfect squares (A.11B).
9.1b – Adding and Subtracting Radical Expressions
Students will add and subtract radical expressions with like radicands (A.11B).
9.1c – Multiplying and Dividing Radical Expressions
Students will multiply and divide radical expressions using properties of square roots (A.11B).
9.1d – Review of Radical Expressions & Cubic Roots
Students will apply properties of radicals to cube roots and mixed operations (A.11B).
9.1e – Simplifying Radical Expressions with Conjugates
Students will rationalize denominators using conjugates of binomial radicals (A.11B).
9.2 – Solving Quadratic Equations by Graphing
Students will solve quadratic equations by finding the x-intercepts of the graph (A.8A, A.7A).
9.3 – Solving Quadratic Equations by Square Roots
Students will solve equations of the form x² = k using square roots and interpret solutions in context (A.8A).
9.4a – Solving Quadratic Equations by Completing the Square
Students will complete the square to solve quadratic equations and rewrite functions in vertex form (A.8A).
9.5a – The Quadratic Formula
Students will apply the quadratic formula to solve quadratic equations and check for extraneous solutions (A.8A).
9.5b – The Discriminant
Students will evaluate and interpret the discriminant to determine the number and type of solutions (A.8A).
9.4b – Writing Quadratic Equations in Vertex Form by Completing the Square
Students will use completing the square to convert standard form equations into vertex form and identify key features (A.7C).
These are the same guided notes we use in class—perfect for staying organized or catching up after an absence.
They may be worksheets or textbook problems, depending on the topic. Check back regularly to stay on track! The expectation is if you do not finish this in class you are finishing it at home!
💡 Remember: Always attempt the work on your own before checking the answers. These keys are here to support your learning—not replace it!
Find the key by scrolling to the right!These pages match your Big Ideas Math textbook and are great for reviewing examples, completing assignments, or getting extra practice at home.
Watch the videos linked below for step-by-step examples, topic reviews, and helpful tips.
These videos align with what we’re learning in class and are great for getting ahead, extra support, review, or catching up if you’ve been absent.
9.1a
9.1b
9.1c
9.1d
9.1e
9.2
9.3
9.4
9.5
Use them to review, fill in anything you missed, and make sure your notes are complete and accurate.
Click on the section titles to jump to the notes you need. You can scroll through without opening a new window. Slides also include a home button to return to the main page for easy navigation.
Looking for more ways to practice or dive deeper? This section includes optional review sheets, challenge problems, formula reference pages, and other helpful tools to support your success in Algebra 1. Use these resources to strengthen your understanding or get ahead!
The only way to get better at math is to PRACTICE!!
Below are some links to extra practice worksheets. Answer keys can be found on the last page of the PDF.
There are tons of videos online, and it can feel overwhelming to sort through them all. I’ve already done the work of finding some that match what we’re learning in class.
Use the videos below if you’d like another explanation of the topic—or if you just want some extra practice!
Beginner Guide to Simplifying Radicals
Comparing ways to Simplify Radicals
Prime Factorization Method
Simplifying Radicals with Variables
Adding Radical Expressions
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