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In this section, students are introduced to imaginary and complex numbers. After being reminded that there was a time when negative numbers were new to them and it took a while to understand how to use them, students are told that is another new kind of number. Just as the positive number line was extended to show negative values, the...
In this section, students return to solving quadratic equations. This time, they are able to find any real or complex solutions. Students use reasoning, completing the square, and the quadratic formula to solve the equations.
Students use the structure of the quadratic formula to help determine the number and type of solutions. Although the discriminant is mentioned, students should not...
In this section, students use their understanding of exponent rules to interpret rational exponents such as as for positive numbers .
The first two lessons serve as optional review of exponent rules and the geometric meaning of square and cube roots. If students demonstrate an understanding of these concepts, the lessons can be safely skipped.
Then students look at expressions...