New Colorado P12 Academic Standards
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Content Area: Mathematics
Grade Level Expectations: High School
Standard: 2. Patterns, Functions, and Algebraic Structures
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^{12} include reading these from a table. (CCSS: FLE.2)
Content Area: Mathematics
Grade Level Expectations: Eighth Grade
Standard: 2. Patterns, Functions, and Algebraic Structures
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^{5} Function notation is not required in 8th grade. (CCSS: 8.F.11)
^{6} For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change. (CCSS: 8.F.2)
^{7} For example, the function \(A = s^2\) giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line. (CCSS: 8.F.3)
^{8} e.g., where the function is increasing or decreasing, linear or nonlinear. (CCSS: 8.F.5)
Content Area: Mathematics
Grade Level Expectations: Seventh Grade
Standard: 2. Patterns, Functions, and Algebraic Structures
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^{2} whole numbers, fractions, and decimals. (CCSS: 7.EE.3)
^{3} For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation. (CCSS: 7.EE.3)
^{4} For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? (CCSS: 7.EE.4a)
^{5} For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions. (CCSS: 7.EE.4b)
Content Area: Mathematics
Grade Level Expectations: Seventh Grade
Standard: 3. Data Analysis, Statistics, and Probability
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^{1} For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be. (CCSS: 7.SP.2)
^{2} For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable. (CCSS: 7.SP.3)
^{3} For example, decide whether the words in a chapter of a seventhgrade science book are generally longer than the words in a chapter of a fourthgrade science book. (CCSS: 7.SP.4)
Content Area: Mathematics
Grade Level Expectations: High School
Standard: 4. Shape, Dimension, and Geometric Relationships
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^{9} Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. (CCSS: GSRT.4)
^{10} Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. (CCSS: GC.2)
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^{14} e.g., modeling a tree trunk or a human torso as a cylinder. (CCSS: GMG.1)
^{15} e.g., persons per square mile, BTUs per cubic foot. (CCSS: GMG.2)
^{16} e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios. (CCSS: GMG.3)
Content Area: Mathematics
Grade Level Expectations: Eighth Grade
Standard: 4. Shape, Dimension, and Geometric Relationships
Prepared Graduates: (Click on a Prepared Graduate Competency to View Articulated Expectations)  (Remove PGC Filter) 

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Evidence Outcomes  21st Century Skill and Readiness Competencies 
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