Common Core High School Number and Quantity Teaching and Learning Resources

Imagine Learning Classroom (formerly LearnZillion) subscription needed:

• Lesson set: Use units as a way to understand and solve problems: Five video lessons: Write the meaning of expressions in practical terms, convert units by using dimensional analysis, determine the correct unit for an answer, understand line graphs by interpreting their scales, use units to determine the appropriateness of an answer.  Aligns with Q-A.1.
• Lesson set: Define appropriate quantities for the purpose of descriptive modeling: Four video lessons: Use units to guide the solution to a problem, determine reasonableness of an answer using estimation, choose appropriate units, choose appropriate scales for graphs.  Aligns with Q-A.2.
• Lesson set: Choose a level of accuracy appropriate to limitations on measurement: Four video lessons: Determine appropriate level of accuracy, find the quantity that most limits the answer, consider limitations of measuring tools, estimate values on a graph.  Aligns with Q-A.3.

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

National Institute of Standards and Technology, an agency of the US Dept. of Commerce, includes resources to learn the metric system.  The following are among those:

• Understanding Metric
• Everyday with Metric
• Approximate Conversions for Metric to U.S. Customary Measures
• Approximat Conversions for U.S. Customary Measures to Metric
• Education Resources on the Metric System (SI)--This is collection of resources can be used to enrich classroom curriculum and reinforce student learning.

Ohio Resource Center Tutorials for High School Mathematics YouTube videos:

• Working with Metric Units and Prefixes for converting between metric units.
• Metric and English Unit Conversions with Dimensional Analysis for converting between metric and English units and using dimensional analysis.

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

• Optimal Queue of Cars: Aligns with Q-A.2, Algebra standards CED-A.2, CED-A.3, and Function standard BF-A.1.

Khan Academy: HSN-N-Q includes HSN-Q.A.2 Common Core aligned problems.

Also see the following practice questions with videos.

• Units of Measurement in Modeling: Aligns with Q-A.3.

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: HSN-N-Q includes HSN-Q.A.1 Common Core aligned problems.

Also see the Working with Units unit with ractice questions with videos.

• Using units to solve problems: Aligns with Q-A.1.
• Working with units algebraically: Formulas and units. Aligns with Q-A.1.

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.

ScienceSpot.net: Metric Mania includes lessons on length, mass, volume, density and constructed response conversion practice worksheets with answers.

Illustrative Mathematics: Number and Quantity:

• Traffic Jam: This task aligns with Q-A, all three standards in the cluster.
• Felicia’s Drive: Aligns with Q-A.1 and Q-A.3.
• Accuracy of Carbon 14 dating II: Aligns with Q-A.3 and function standard LE-A.4.

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:

• Task 407: Modeling Population Growth: Having Kittens
• Apprentice Task: Leaky Faucet
• Apprentice Task: Yogurt

Mathematics Vision Project, Secondary Mathematics 1 Student Edition:

• Module 1: Sequences:This module contains 11 classroom tasks.  Task 1: Checkerboard Borders aligns with Q-A.2.
• Module 4: Equations & Inequalities: This module contains six classroom tasks.  Task 2: Elvira's Equations aligns with Q-A.1 and Q-A.2.

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