“Algebra II” – Unit I
“Algebra II” – Unit III
High School Mathematics
“Advanced Algebra – An Algebra II Course”
18 - 22 Days
|ESSENTIAL STANDARD |ESSENTIAL QUESTION |DEPTH for MASTERY |Sections |COMMENTS |
|1 - Solves problems throughout this course that involve: |How do we use problem solving |All |Throughout | |
|-selecting appropriate approaches and tools, |skills? | |course | |
|-using estimating strategies to predict computational results, | | | | |
|and | | | | |
|-judging reasonableness of results. | | | | |
|2 - Solves problems that relate concepts to other concepts and to|How is technology useful in |All |Throughout course | |
|practical applications using tools such as scientific or graphing|solving problems? | | | |
|calculators and computers. | | | | |
|5 - Solves and graphs linear inequalities in one variable, |How do we solve one variable, |All |2.4 |* Absolute Value Only |
|including compound inequalities and absolute value equations and |including compound inequalities | | | |
|inequalities. |and absolute value equations and| | | |
| |inequalities? | | | |
|18 - Determines real or imaginary nth roots of real numbers. |How do you find real and |All |5.8 |* Square roots only – real and imaginary |
| |imaginary roots? | | | |
|19 - Simplifies radical expressions and their products, |How do you simplify radical |All |6.1 |*Extra practice page 675 |
|quotients, sums and differences, including rationalizing |expressions? | | | |
|denominators by using properties of radicals. | | | | |
|21 - Solves radical equations with one or two radical terms |How do you solve radical |All |5.4 |*After 5.4 do/teach math toolbox page 223 |
| |equations? | | | |
|ESSENTIAL STANDARD |ESSENTIAL QUESTION |DEPTH for MASTERY |Sections |COMMENTS |
|22 - Defines a complex number and its additive inverse, |What is a complex number and its|All |5.6 |*Use math toolbox on page 375 |
|conjugate, and absolute value. |additive inverse, conjugate, and| | | |
| |absolute value? | | | |
|23 - Adds, subtracts, multiplies, and divides complex numbers. |How do you perform operations |All |5.6 |*Use math toolbox on page 375 |
| |with complex numbers? | | | |
|24 - Solves quadratic equations using various methods including |What are the methods and how do |All |5.5, 5.7, 5.8 |*Remember to cover page 223 before starting 5.5 |
|factoring, completing the square, the quadratic formula, and |you apply them to solving | | | |
|graphing tools. |quadratic equations? | | | |
|25 - Analyzes the nature of the roots of quadratic equations by |What is the discriminant and how|All |5.8 | |
|using the discriminant and the relationship between roots and |is it used to find the roots of | | | |
|coefficients. |a quadratic? | | | |
|26 - Graphs quadratic functions and determines their maximum or |How do we graph quadratic |All |5.1, 5.2, 5.3, 5.6 |*Stress the vocabulary on p.270 (zeros = x – |
|minimum values, the number of zeros, and whether the zeros are |functions and determine their | | |intercepts = solutions) |
|real or imaginary. |maximum or minimum values, the | | | |
| |number of zeros, and whether the| | | |
| |zeros are real or imaginary? | | | |
|27 - Solves problems using quadratics, such as problems involving|How can we use quadratics to |All |All sections | |
|motion and maximum/minimum values. |solve real world problems? | |except 5.4 | |
|-Makes predictions from collected data using regression | | | | |
|techniques | | | | |
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