New Colorado P-12 Academic Standards

Prepared Graduates: (Click on a Prepared Graduate Competency to View Articulated Expectations)

• Understand quantity through estimation, precision, order of magnitude, and comparison. The reasonableness of answers relies on the ability to judge appropriateness, compare, estimate, and analyze error

Concepts and skills students master:

1. Quantities can be represented and counted

Inquiry Questions:

1. What do numbers tell us?
2. Is there a biggest number?

Relevance & Application:

1. Counting helps people to determine how many such as how big a family is, how many pets there are, such as how many members in one’s family, how many mice on the picture book page, how many counting bears in the cup.
2. People sort things to make sense of sets of things such as sorting pencils, toys, or clothes.

Nature Of:

1. Numbers are used to count and order objects.
2. Mathematicians reason abstractly and quantitatively. (MP)
3. Mathematicians attend to precision. (MP)

Prepared Graduates: (Click on a Prepared Graduate Competency to View Articulated Expectations)

• Make sound predictions and generalizations based on patterns and relationships that arise from numbers, shapes, symbols, and data

Concepts and skills students master:

1. Shapes can be observed in the world and described in relation to one another

Inquiry Questions:

1. How do we describe where something is?
2. Where do you see shapes around you?
3. How can we arrange these shapes?
4. Why do we put things in a group?
5. What is the same about these objects and what is different?
6. What are the ways to sort objects?

Relevance & Application:

1. Shapes and position help students describe and understand the environment such as in cleaning up, or organizing and arranging their space.
2. Comprehension of order and position helps students learn to follow directions.
3. Technology games can be used to arrange and position objects.
4. Sorting and grouping allows people to organize their world. For example, we set up time for clean up, and play.

Nature Of:

1. Geometry affords the predisposition to explore and experiment.
2. Mathematicians organize objects in different ways to learn about the objects and a group of objects.
3. Mathematicians attend to precision. (MP)
4. Mathematicians look for and make use of structure. (MP)

Prepared Graduates: (Click on a Prepared Graduate Competency to View Articulated Expectations)

• Understand quantity through estimation, precision, order of magnitude, and comparison. The reasonableness of answers relies on the ability to judge appropriateness, compare, estimate, and analyze error

Concepts and skills students master:

2. Measurement is used to compare objects

Inquiry Questions:

1. How do we know how big something is?
2. How do we describe when things happened?

Relevance & Application:

1. Understanding the order of events allows people to tell a story or communicate about the events of the day.
2. Measurements helps people communicate about the world. For example, we describe items like big and small cars, short and long lines, or heavy and light boxes.

Nature Of:

1. Mathematicians sort and organize to create patterns. Mathematicians look for patterns and regularity. The search for patterns can produce rewarding shortcuts and mathematical insights.
2. Mathematicians reason abstractly and quantitatively. (MP)
3. Mathematicians use appropriate tools strategically. (MP)