Determine any restrictions on values for the variable in a radical equation. Card 8: Outcome 4: Achievement indicator 4.2 Determine algebraically, the roots of a radical equation Card 9: Outcome 4: Achievement indicator 4.3 Verify, by substitution, that the values determined in solving a radical equation are roots of an equation. Card 10: Outcome 4: Achievement indicator 4.5 Solve problems by modeling a situation with a radical equation and solving the equation. Card 11: Outcome 4: Achievement indicator 4.4 Explain why some roots determined in solving a radical equation are extraneous. Note: Outcome 3: Achievement indicator 3.6 was not included as it was felt that the concept was sufficiently covered with achievement indicator 4.1 Glossary Represents how far the number is from zero – entire radical A radical with a coefficient of 1 [Math 20-2 (Nelson: page 515)] – extraneous root A number obtained in the process of solving an equation that does – not satisfy the equation mixed radicals A radical with a coefficient other than 1 [Math 20-2 (Nelson: page – 516)] A number, from a given number system, that can be expressed as the square of a – number from the same number system The positive square root – rationalize the denominator The process used to write a radical expression that – contains a radical denominator into an equivalent expression with a rational denominator [Math 20-2 (Nelson: page 517)] The values of a the variable in an expression that ensure it to be defined restrictions – [Math 20-2 (Nelson: page 517)]
Determine any restrictions on values for the variable in a radical equation. Card 8: Outcome 4: Achievement indicator 4.2 Determine algebraically, the roots of a radical equation Card 9: Outcome 4: Achievement indicator 4.3 Verify, by substitution, that the values determined in solving a radical equation are roots of an equation. Card 10: Outcome 4: Achievement indicator 4.5 Solve problems by modeling a situation with a radical equation and solving the equation. Card 11: Outcome 4: Achievement indicator 4.4 Explain why some roots determined in solving a radical equation are extraneous. Note: Outcome 3: Achievement indicator 3.6 was not included as it was felt that the concept was sufficiently covered with achievement indicator 4.1 Glossary – Represents how far the number is from zero entire radical – A radical with a coefficient of 1 [Math 20-2 (Nelson: page 515)] extraneous root – A number obtained in the process of solving an equation that does not satisfy the equation mixed radicals – A radical with a coefficient other than 1 [Math 20-2 (Nelson: page 516)] – A number, from a given number system, that can be expressed as the square of a number from the same number system – The positive square root rationalize the denominator – The process used to write a radical expression that contains a radical denominator into an equivalent expression with a rational denominator [Math 20-2 (Nelson: page 517)] restrictions – The values of a the variable in an expression that ensure it to be defined [Math 20-2 (Nelson: page 517)]