8th Honors Math
Chapter 12.6/12.7/13 Examples of Rigor
Name:
Period:
Learning Target
Date:
Examples
Learning Target #1: I am learning to approximate and rewrite radicals.
Success Criteria
I know I am
success when I
can….
1. The area of a square is 30 square units. What is the approximate side length of the
square?
#2-4: Determine both the approximate and the exact value of each radical (by extracting
perfect squares).
12.6 – Determine the
approximate square root 2. 288
of given values.
12.6 – Determine the
exact value of a square
root of given values.
12.6 – Rewrite radicals
by extracting perfect
squares.
3.
60
4.
48
Learning Target #2: I am learning to determine the roots of quadratic equations.
Success Criteria
I know I am
success when I
can….
12.6 – Solve quadratic
equations using square
roots.
12.7 – Solve quadratic
equations by completing
the square.
#5-6: Determine the approximate solutions for each equation.
5. (x – 4)2 = 30
6. (3 – 2x)2 = 55
#7-8: Solve each equation by completing the square.
7. x2 – 4x – 12 = 0
8. x2 + 8x – 10 = 0
Learning Target #3: I am learning to solve quadratic equations using the
quadratic formula.
Success Criteria
I know I am
success when I
can….
#9-14: Determine the zeros of each quadratic function or the roots of each quadratic
equation. Give both the exact and approximate solutions.
9. f(x) = -8x2 + 2x + 1
10. 2x2 + 6x – 7 = 2
13.1 Solve quadratic
equations using the
quadratic formula.
13.1 Determine the
number of solutions a
quadratic equation has
by calculating the
discriminant.
11. f(x) = -3x2 – x + 7
12. 3x2 + x + 3 = 5
13. f(x) = -2x2 – 8x + 1
14. 2x2 + 8x + 3 = -5
13.1 Solve vertical
motion problems using
the quadratic formula.
#15-17: Use the discriminant to determine the number of zeros or roots each function or
equation has.
15. f(x) = -x2 + 6x + 7
16. 9x2 + 5x – 2 = 3
17. f(x) = 5x2 + 10x + 5
Learning Target #4: I am learning to solve quadratic inequalities.
Success Criteria
I know I am
success when I
can….
#20-25: Determine the roots of each quadratic inequality. Use the interval method to
determine the solution set of the inequality. Round your answer to the nearest thousandth
if necessary.
18. x2 +2 x – 1 < 2
19. x2 + 7x – 30 ≤ 0
13.3 Determine the
solution set to a
quadratic inequality .
20. x2 + 12x + 20 > 0
21. 2x2 +9x ≥ -7
Learning Target #5: I am learning to solve systems of quadratic inequalities.
Success Criteria
I know I am
success when I
can….
#: Solve each system of equations algebraically.
2

y  4 x  6 x  3
22. 

 y  6 x  6
2

y  3x  24 x  50
23. 
y  4x  1


y  2 x 2  4 x  7

24. 
2

 y  x  2x  1
 y  2 x 2  3x  2

25. 
2

y  2 x  x  1
13.4 Determine the
solution to a system of
linear and quadratic
equations .
13.4 Determine the
solution to a system of
two quadratic
equations.