New Colorado P12 Academic Standards
Current Display Filter: Mathematics  All  by Specific Prepared Graduate Competency  (Remove PGC Filter)
Content Area: Mathematics
Grade Level Expectations: Seventh Grade
Standard: 1. Number Sense, Properties, and Operations
Prepared Graduates: (Click on a Prepared Graduate Competency to View Articulated Expectations)  (Remove PGC Filter) 

Concepts and skills students master:


Evidence Outcomes  21st Century Skill and Readiness Competencies 
Students Can:

Inquiry Questions:
Relevance & Application:
Nature Of:

^{1} For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction \(^\frac{1}{2}/_\frac{1}{4}\) miles per hour, equivalently 2 miles per hour. (CCSS: 7.RP.1)
^{2} e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. (CCSS: 7.RP.2a)
^{3} For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn. (CCSS: 7.RP.2c)
^{4} Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. (CCSS: 7.RP.3)
Content Area: Mathematics
Grade Level Expectations: Sixth Grade
Standard: 1. Number Sense, Properties, and Operations
Prepared Graduates: (Click on a Prepared Graduate Competency to View Articulated Expectations)  (Remove PGC Filter) 

Concepts and skills students master:


Evidence Outcomes  21st Century Skill and Readiness Competencies 
Students Can:

Inquiry Questions:
Relevance & Application:
Nature Of:

^{1} For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote candidate A received, candidate C received nearly three votes." (CCSS: 6.RP.1)
^{2} For example, "This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar." "We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger." (CCSS: 6.RP.2)
^{3} e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. (CCSS: 6.RP.3)
^{4} For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed? (CCSS: 6.RP.3b)
^{5} e.g., 30% of a quantity means 30/100 times the quantity. (CCSS: 6.RP.3c)
^{6} manipulate and transform units appropriately when multiplying or dividing quantities. (CCSS: 6.RP.3d)