Grade 8 North Carolina Standards

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

Interactivate Lessons	Objectives
	Objective 1.01: Develop number sense for the real numbers. a). Define and use irrational numbers. b). Compare and order. c). Use estimates of irrational numbers in appropriate situations.
ALL LESSONS	Objective 1.02: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 understand and use measurement concepts.

Interactivate Lessons	Objectives
Perimeter Area Length, Perimeter and Area Quadrilaterals Pythagorean Theorem Translations, Reflections, and Rotations Geometry in Tessellations Symmetry in Tessellations Visual Patterns in Tessellations	Objective 2.01: Determine the effect on perimeter, area or volume when one or more dimensions of two- and three-dimensional figures are changed.
	Objective 2.02: Apply and use concepts of indirect measurement.

Competency Goal 3: The learner will understand and use properties and relationships in geometry.

Interactivate Lessons	Objectives
Visual Patterns in Tessellations Symmetry in Tessellations Geometry in Tessellations Introduction to Fractals: Infinity, Self-Similarity and Recursion Properties of Fractals Probability and Geometry	Objective 3.01: Represent problem situations with geometric models.
Quadrilaterals Surface Area and Volume Pythagorean Theorem Translations, Reflections, and Rotations Visual Patterns in Tessellations Geometry in Tessellations Introduction to Fractals: Infinity, Self-Similarity and Recursion Geometric Fractals Properties of Fractals	Objective 3.02: Apply geometric properties and relationships, including the Pythagorean theorem, to solve problems.
	Objective 3.03: Identify, predict, and describe dilations in the coordinate plane.

Competency Goal 4: The learner will understand and use graphs and data analysis.

Interactivate Lessons	Objectives
Sets and Venn Diagrams Probability and Sports Fire!, Probability, and Chaos Stem-and-Leaf Plots Box Plots Histograms and Bar Graphs	Objective 4.01: Collect, organize, analyze, and display data (including scatterplots) to solve problems.
Fire!, Probability, and Chaos	Objective 4.02: Approximate a line of best fit for a given scatterplot; explain the meaning of the line as it relates to the problem and make predictions.
Fire!, Probability, and Chaos Histograms and Bar Graphs	Objective 4.03: Identify misuses of statistical and numerical data.

Competency Goal 5: The learner will understand and use linear relations and functions.

Interactivate Lessons	Objectives
Patterns in Pascal's Triangle An Introduction to Sequences Introduction to Functions Introduction to Linear Functions Graphing and the Coordinate Plane Cartesian Coordinate System Graphs and Functions Functions and the Vertical Line Test Reading Graphs Impossible Graphs	Objective 5.01: Develop an understanding of function. a). Translate among verbal, tabular, graphic, and algebraic representations of functions. b). Identify relations and functions as linear or nonlinear. c). Find, identify, and interpret the slope (rate of change) and intercepts of a linear relation. d). Interpret and compare properties of linear functions from tables, graphs, or equations.
Introduction to Functions Introduction to Linear Functions Graphing and the Coordinate Plane Graphs and Functions	Objective 5.02: Write an equation of a linear relationship given: two points, the slope and one point on the line, or the slope and y-intercept.
Pascal's Triangle Introduction to Functions Introduction to Linear Functions Graphing and the Coordinate Plane Cartesian Coordinate System Impossible Graphs Graphs and Functions Reading Graphs	Objective 5.03: Solve problems using linear equations and inequalities; justify symbolically and graphically.
	Objective 5.04: Solve equations using the inverse relationships of addition and subtraction, multiplication and division, squares and square roots and cubes and cube roots.