Grade 6 North Carolina Standards

Competency Goal 1: The learner will understand and compute with rational numbers.

Interactivate Lessons	Objectives
Practicing Arithmetic	Objective 1.01: Develop number sense for negative rational numbers. a). Connect the model, number word, and number using a variety of representations, including the number line. b). Compare and order. c). Make estimates in appropriate situations.
Fraction Facts Fractals and the Chaos Game Chaos Tree Diagrams Probability Statistics and Shopping Estimation	Objective 1.02: Develop meaning for percents. a). Connect the model, number word, and number using a variety of representations. b). Make estimates in appropriate situations.
Fraction Facts	Objective 1.03: Compare and order rational numbers.
Practicing Arithmetic Patterns in Pascal's Triangle Clock Arithmetic and Cryptography Fraction Facts	Objective 1.04: Develop fluency in addition, subtraction, multiplication, and division of non-negative rational numbers. a). Analyze computational strategies. b). Describe the effect of operations on size. c). Estimate the results of computations. d). Judge the reasonableness of solutions.
Clock Arithmetic and Cryptography Properties of Fractals Pascal's Triangle Patterns in Pascal's Triangle	Ojective 1.05: Develop fluency in the use of factors, multiples, exponential notation, and prime factorization.
Properties of Fractals	Ojective 1.06: Use exponential, scientific, and calculator notation to write very large and very small numbers.
ALL LESSONS	Objective 1.07: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.

Competency Goal 2: The learner will select and use appropriate tools to measure two- and three-dimensional figures.

Interactivate Lessons	Objectives
Perimeter Area Length, Perimeter and Area Angles Surface Area and Volume Pythagorean Theorem Fractals and the Chaos Game Translations, Reflections, and Rotations Geometry in Tessellations Introduction to Fractals: Infinity, Self-Similarity and Recursion Symmetry in Tessellations Visual Patterns in Tessellations	Objective 2.01: Estimate and measure length, perimeter, area, angles,, weight, and mass of two- and three-dimensional figures, using appropriate tools.
Perimeter Pythagorean Theorem Geometry in Tessellations Symmetry in Tessellations Visual Patterns in Tessellations	Objective 2.02: Solve problems involving perimeter/circumference and area of plane figures.

Competency Goal 3: The learner will understand and use properties and relationships of geometric figures in the coordinate plane.

Interactivate Lessons	Objectives
Geometry in Tessellations Symmetry in Tessellations Visual Patterns in Tessellations Introduction to Fractals: Infinity, Self-Similarity and Recursion Cartesian Coordinate System Geometric Fractals Fractals and the Chaos Game Irregular Fractals Graphing and the Coordinate Plane Cartesian Coordinate System	Objective 3.01: Identify and describe the intersection of figures in a plane.
	Objective 3.02: Identify the radius, diameter, chord, center, and circumference of a circle; determine the relationships among them.
Translations, Reflections, and Rotations Geometry in Tessellations Symmetry in Tessellations Visual Patterns in Tessellations Introduction to Fractals: Infinity, Self-Similarity and Recursion Geometric Fractals	Objective 3.03: Transform figures in the coordinate plane and describe the transformation.
The Mandelbrot Set Length, Perimeter and Area Lines, Rays, Line Segments, and Planes Surface Area and Volume Geometry in Tessellations Symmetry in Tessellations Visual Patterns in Tessellations Introduction to Fractals: Infinity, Self-Similarity and Recursion Geometric Fractals	Objective 3.04: Solve problems involving geometric figures in the coordinate plane.

Competency Goal 4: The learner will understand and determine probabilities.

Interactivate Lessons	Objectives
Patterns in Pascal's Triangle Sets and Venn Diagrams Ideas that Lead to Probability Replacement and Probability From Probability to Combinatorics and Number Theory Introduction to the Concept of Probability Tree Diagrams Probability Probability and Geometry Conditional Probability and Probability of Simultaneous Events	Objective 4.01: Develop fluency with counting strategies to determine the sample space for an event. Include lists, tree diagrams, frequency distribution tables, permutations, combinations, and the Fundamental Counting Principle.
Introduction to the Concept of Probability Probability and Geometry Replacement and Probability Tree Diagrams Probability Conditional Probability and Probability of Simultaneous Events From Probability to Combinatorics and Number Theory Unexpected Answers	Objective 4.02: Use a sample space to determine the probability of an event.
Chaos Probability and Sports Ideas that Lead to Probability Introduction to the Concept of Probability Tree Diagrams Probability Probability and Geometry Conditional Probability and Probability of Simultaneous Events Replacement and Probability From Probability to Combinatorics and Number Theory	Objective 4.03:Conduct experiments involving simple and compound events.
Chaos Probability and Sports Ideas that Lead to Probability Introduction to the Concept of Probability Conditional Probability and Probability of Simultaneous Events Tree Diagrams Probability Replacement and Probability Probability and Geometry From Probability to Combinatorics and Number Theory Unexpected Answers Expected Value	Objective 4.04: Determine and compare experimental and theoretical probabilities for simple and compound events.
Ideas that Lead to Probability Replacement and Probability Tree Diagrams Probability Probability and Geometry From Probability to Combinatorics and Number Theory Conditional Probability and Probability of Simultaneous Events Expected Value	Objective 4.05: Determine and compare experimental and theoretical probabilities for independent and dependent events.
Chaos Probability and Sports Introduction to the Concept of Probability Conditional Probability and Probability of Simultaneous Events Replacement and Probability Expected Value Unexpected Answers Statistics and Shopping Fire!, Probability, and Chaos	Objective 4.06: Design and conduct experiments or surveys to solve problems; report and analyze results.

Competency Goal 5: The learner will demonstrate an understanding of simple algebraic expressions.

Interactivate Lessons	Objectives
	Objective 5.01: Simplify algebraic expressions and verify the results using the basic properties of rational numbers. a). Identity b). Commutative c). Associative d). Distributive e). Order of Operations
Introduction to Functions Introduction to Linear Functions Graphing and the Coordinate Plane Graphs and Functions Reading Graphs Practicing Arithmetic	Objective 5.02: Use and evaluate algebraic expressions.
Introduction to Linear Functions Reading Graphs Practicing Arithmetic Pythagorean Theorem Graphs and Functions	Objective 5.03: Solve simple (one- and two-step) equations or inequalities.
Introduction to Functions Introduction to Linear Functions Graphing and the Coordinate Plane Cartesian Coordinate System Reading Graphs Graphs and Functions Impossible Graphs	Objective 5.04: Use graphs, tables, and symbols to model and solve problems involving rates of change and ratios.