# Common Core Math

## Domain: Q: Quantities

• Q-A: Reason quantitatively and use units to solve problems

### Q-A: Reason quantitatively and use units to solve problems

Standards:

• Q-A.1. Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data display.
• Q-A.2. Define appropriate quantities for the purpose of descriptive modeling.
• Q-A.3. Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

Technology-enhanced investigations:

LearnZillion:

NCTM Illuminations: Flowing Through Mathematics: Simulate water flowing from a tube through a hole in the bottom. The diameter of the hole can be adjusted and data can be gathered for the height or volume of water in the tube at any time.

Shodor Interactivate: Triangle Explorer: Learners study the nature of triangles and their area, and can investigate problem solving strategies.

Wolfram Demonstrations Project: Download the free Wolfram CDF player to interact with the following manipulative.  There  is 1 manipulative addressing Q-A.2:

Multiple Choice:

Khan Academy: Practice questions with videos.

OpenEd:

• Units: 4 questions combine multiple choice and free response.  Includes related review resources.  Aligns with Q-A.1.
• Appropriate quantities for modeling: 5 questions combine multiple choice and free response.  Includes related review resources.  Aligns with Q-A.2 and mathematical practice standard MP4--model with mathematics.
• Accuracy: 5 questions combine multiple choice and free response.  Includes related review resources.  Aligns with Q-A.3.

Constructed-response:

Consortium for Mathematics and Its Applications (COMAP): Mathematical Modeling Handbook (Sample).  This sample  mathematical modeling module aligns to Common Core Standards.  It contains teacher guidance for implementation and student questions to complete during their investigation:

• The module For the Birds aligns to number and quantity standards Q-A.1 and Q-A.2, and algebra standard CED-A.4.

Khan Academy: Practice questions with videos.

MathBitsNotebook: Algebra 1: Working with Units includes lessons on significant figures and accuracy and error in measurement, then practice problems on working with units and error in measurement.  Use with Q-A.1, Q-A.2, and Q-A.3.

Illustrative Mathematics: Number and Quantity:

Inside Mathematics: MARS Task: Swimming Pool: This task aligns with standards Q-A.1, Q-A.2, and Q-A.3.  Students work with trapezoids, rates and time graphs in a real context.

Mathematics Assessment Project: Standards: High School: Number and Quantity: Quantities: http://map.mathshell.org/stds.php?standardid=1300

Mathematics Vision Project, Secondary 1 Student Edition: Getting Ready Module: This module contains 10 classroom tasks.  Task 3: Serving Up Symbols; and Task 4: Examining Units align with Q-A.1.  Task 1: Checkerboard Borders; and Task 2: Building More Checkerboard Borders align with Q-A.2.  Tasks 1-3 also include algebra standard SSE-A.1.  The remaining six tasks addressed in this module include algebra standards REI-A.1, REI-B.3, and CED-A.4.

NCTM's Reasoning and Sense Making Task Library: Each includes the task overview, teacher notes for its use in the classroom, and student activity sheet.

• Fuel for Thought: Aligns with Q-A.1, Q-A.2, and mathematical practice standards 2, 3, and 4.
• Cash or Gas?: Aligns with Q-A.1, Q-A.2, statistics standard MD-B.5.b, and mathematical practice standards 1, 3, 4, and 5.

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