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