# What Are We Learning?

• The Guaranteed and Viable Curriculum is a combination of the Colorado Academic Standards, the 4 C's (communication, collaboration, critical thinking and creativity), 21st Century Skills and content. The GVC tells each grade level teacher, student and parent the learning that is expected by the end of each school year or course. # Standards for Mathematical Practice and 21st Century Skills

• Sixth and Seventh Grade Standards

• Make sense of problems and persevere in solving them
• Reason abstractly and quantitatively
• Construct viable arguments and critique the reasoning of others
• Model with mathematics
• Use appropriate tools strategically
• Attend to precision
• Look for and make use of structure
• Look for and express regularity in repeated reasoning
• Demonstrate the process of inquiry:
• identify a problem
• generate questions
• investigate possible solutions to the problem

21st Century Skills and Readiness Competencies in Mathematics

• Critical Thinking and Reasoning Mathematics
• Information Literacy
• Collaboration
• Self-Direction
• Invention

• Sixth and Seventh Grade Standards

• Number Sense, Properties, and Operations
• Quantities can be expressed and compared using ratios and rates
• Formulate, represent, and use algorithms with positive rational numbers with flexibility, accuracy, and efficiency
• In the real number system, rational numbers have a unique location on the number line and in space
• Patterns, Functions, and Algebraic Structures
• Algebraic expressions can be used to generalize properties of arithmetic
• Variables are used to represent unknown quantities within equations and inequalities
• Data Analysis, Statistics, and Probability
• Visual displays and summary statistics of one-variable data condense the information in data sets into usable knowledge
•  Shape, Dimension, and Geometric Relationships
• Objects in space and their parts and attributes can be measured and analyzed