9th and 10th Grade Power Benchmarks In Order of Priority by Quarter (1/10/06)

First Quarter: 9th and 10th Grade Math

Power
Benchmark

(* = taught
each
quarter)

Description

Released
Items

2.2a* 9th - Represent functional relationships using written explanations, tables, equations, and graphs, and describe the connections among these representations.

10th - same

2002 9th
2004 10th
6.1a* 9th - Students use ratios, proportions, and percents in problem-solving situations that involve rational numbers.

10th - same

2003 9th-10th
2003 10th
2002 9th
4.2a* 9th - Solve problems involving perimeter, area, and volume of regular and irregular geometric figures.

10th - Use the Pythagorean Theorem and it's converse to solve real world problems.

2002 9th-10th
3.5a* 9th - Determine the probability of an identified event using the sample space.

10th - same

2002 10th
1.3a* 9th - Use number sense to estimate and justify the reasonableness of solutions to problems involving rational numbers and common irrational numbers (for example; circumference, area of a circle, and Pythagorean Theorem).

10th - Use number sense to estimate and justify the reasonableness of solutions to problems involving real numbers.

2002 10th
2.2b* 9th - Convert from one functional representation to another. (concerning tables, equations, and graphs)

10th - same

None
2.3a* 9th - Solve problems involving functions and relations using calculators, graphs, tables, and algebraic methods.

10th - same

2003 9th-10th
2.2c 9th - Interpret a graphical representation of a real-world situation.

10th - same

None

Second Quarter: 9th and 10th Grade Math

Power
Benchmark

(* = taught
each
quarter)

Description

Released
Items

2.2a* 9th - Represent functional relationships using written explanations, tables, equations, and graphs, and describe the connections among these representations.

10th - same

2002 9th
2004 10th
6.1a* 9th - Students use ratios, proportions, and percents in problem-solving situations that involve rational numbers.

10th - same

2003 9th-10th
2003 10th
2002 9th
4.2a* 9th - Solve problems involving perimeter, area, and volume of regular and irregular geometric figures.

10th - Use the Pythagorean Theorem and it's converse to solve real world problems.

2002 9th-10th
3.5a* 9th - Determine the probability of an identified event using the sample space.

10th - same

2002 10th
1.3a* 9th - Use number sense to estimate and justify the reasonableness of solutions to problems involving rational numbers and common irrational numbers (for example; circumference, area of a circle, and Pythagorean Theorem).

10th - Use number sense to estimate and justify the reasonableness of solutions to problems involving real numbers.

2002 10th
2.2b* 9th - Convert from one functional representation to another. (concerning tables, equations, and graphs)

10th - same

None
2.3a* 9th - Solve problems involving functions and relations using calculators, graphs, tables, and algebraic methods.

10th - same

2003 9th-10th
3.3a 9th - Fit curves to scatter plots using informal methods or appropriate technology to determine the type (positive, negative, or non-existent) of relationship between two data sets.

10th - Graph data sets, create a scatter plot, and identify the control (independent) variable and dependent variable.

2002 9th
2.3c 9th - Solve equations with more than one variable for a given variable. (for example; solve for p in 1=prt or for r in C=2πr).

10th - same

none
3.6a 9th - Solve real-world problems with informal use of combinations and permutations (for example; determining the number of possible meals at a restaurant featuring a given number of side dishes).

10th - Apply organized counting techniques to determine combinations and permutations in problem-solving situations.

none

Third Quarter: 9th and 10th Grade Math

Power
Benchmark

(* = taught
each
quarter)

Description

Released
Items

2.2a* 9th - Represent functional relationships using written explanations, tables, equations, and graphs, and describe the connections among these representations.

10th - same

2002 9th
2004 10th
6.1a* 9th - Students use ratios, proportions, and percents in problem-solving situations that involve rational numbers.

10th - same

2003 9th-10th
2003 10th
2002 9th
4.2a* 9th - Solve problems involving perimeter, area, and volume of regular and irregular geometric figures.

10th - Use the Pythagorean Theorem and it's converse to solve real world problems.

2002 9th-10th
3.5a* 9th - Determine the probability of an identified event using the sample space.

10th - same

2002 10th
1.3a* 9th - Use number sense to estimate and justify the reasonableness of solutions to problems involving rational numbers and common irrational numbers (for example; circumference, area of a circle, and Pythagorean Theorem).

10th - Use number sense to estimate and justify the reasonableness of solutions to problems involving real numbers.

2002 10th
2.2b* 9th - Convert from one functional representation to another. (concerning tables, equations, and graphs)

10th - same

None
2.3a* 9th - Solve problems involving functions and relations using calculators, graphs, tables, and algebraic methods.

10th - same

2003 9th-10th
6.2a 9th - Apply appropriate computational methods to solve multi-step problems involving rational numbers.

10th - Apply appropriate computational methods to solve multi-step problems involving all types of numbers from the real number system.

none
3.4a 9th - Determine, analyze, and use measure of central tendency (such as mean, median, and mode) and measures of variability (such as range and quartiles) in problem-solving situations.

10th - Differentiate between mean, median, and mode and demonstrate the appropriate use of each.

2002 9th-10th 2002 9th
4.3a 9th - Make and test conjectures about geometric shapes and their properties (for example; parallelism, perpendicularity, similarity, congruence, symmetry).

10th - Make and test conjectures about geometric shapes and their properties to include parallelism and perpendicularity, numerical relationships on a triagle, relationships between triangles, and properties of quadrilaterals and regular polygons.

2004 10th

Fourth Quarter: 9th and 10th Grade Math

Power
Benchmark

(* = taught
each
quarter)

Description

Released
Items

2.2a* 9th - Represent functional relationships using written explanations, tables, equations, and graphs, and describe the connections among these representations.

10th - same

2002 9th
2004 10th
6.1a* 9th - Students use ratios, proportions, and percents in problem-solving situations that involve rational numbers.

10th - same

2003 9th-10th
2003 10th
2002 9th
4.2a* 9th - Solve problems involving perimeter, area, and volume of regular and irregular geometric figures.

10th - Use the Pythagorean Theorem and it's converse to solve real world problems.

2002 9th-10th
3.5a* 9th - Determine the probability of an identified event using the sample space.

10th - same

2002 10th
1.3a* 9th - Use number sense to estimate and justify the reasonableness of solutions to problems involving rational numbers and common irrational numbers (for example; circumference, area of a circle, and Pythagorean Theorem).

10th - Use number sense to estimate and justify the reasonableness of solutions to problems involving real numbers.

2002 10th
2.2b* 9th - Convert from one functional representation to another. (concerning tables, equations, and graphs)

10th - same

None
2.3a* 9th - Solve problems involving functions and relations using calculators, graphs, tables, and algebraic methods.

10th - same

2003 9th-10th
4.2b 9th - Use the Pythagorean theorem to solve real-world problems.

10th - Use Properties of polygons to find areas of regular and irregular figures.

none
5.1b 9th - Use measurement to solve real-world problems involving rate of change (for example; distance traveled using rate and time).

10th - same

2002 9th-10th
2.4c 9th - Analyze the effects of change in the leading coefficient and/or the vertical translations. (for example; given y=kx+c and y=kx² +c, how do changes in k and /or c affect the graphs?)

10th - Demonstrate horizontal and vertical translations on graphs of functions an their meanings in the context of a problem.

none
2.1a 9th - Model real-world phenomena involving linear and non-linear relationships using multiple representations of rules that can take the form of recursive processes, functions, equations, or inequalitites.

10th - Model real-world phenomena involving linear, quadratic and exponential relationships using multiple representations of rules that can take the form of a recursive process, a function, an equation, or an inequality.

none