Grade 7 North Carolina Standards

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

Interactivate LessonsObjectives
Fraction Facts
Multiplying Decimals and Mixed Numbers
Patterns in Fractals
Practicing Arithmetic
Expected Value
Statistics and Shopping
Fire!, Probability, and Chaos
Irregular Fractals
Chaos
vTree Diagrams Probability
Fractals and the Chaos Game

Objective 1.01: Develop and use ratios, proportions, and percents to solve problems.

Practicing Arithmetic
Fraction Facts
Multiplying Decimals
Patterns in Fractals
An Introduction to Sequences
Estimation
Pascal's Triangle
Expected Value
Patterns in Pascal's Triangle

Objective 1.02: Develop fluency in addition, subtraction, multiplication, and division of 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.

ALL LESSONS

Objective 1.03: 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 involving two- and three- dimensional figures.

Interactivate LessonsObjectives
Pythagorean Theorem
Translations, Reflections, and Rotations
Objective 2.01: Draw objects to scale and use scale drawings to solve problems.

Surface Area and Volume
Pythagorean Theorem
Geometry in Tessellations
Symmetry in Tessellations
Visual Patterns in Tessellations
Geometric Fractals
Introduction to Fractals: Infinity, Self-Similarity and Recursion

Objective 2.02: Solve problems involving volume and surface area of cylinders, prisms, and composite shapes.



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

Interactivate LessonsObjectives
Surface Area and Volume
Objective 3.01: Using three-dimensional figures:
a). Identify, describe, and draw from various views (top, side, front, corner).
b). Build from various views.
c). Describe cross-sectional views.
Quadrilaterals
Surface Area and Volume
Pythagorean Theorem
Geometry in Tessellations
Visual Patterns in Tessellations
Translations, Reflections, and Rotations

Objective 3.02: Identify, define, and describe similar and congruent polygons with respect to angle measures, length of sides, and proportionality of sides.

Quadrilaterals
Pythagorean Theorem
Geometry in Tessellations
Probability and Geometry
Visual Patterns in Tessellations
Introduction to Fractals: Infinity, Self-Similarity and Recursion
Geometric Fractals

Objective 3.03: Use scaling and proportional reasoning to solve problems related to similar and congruent polygons.



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

Interactivate LessonsObjectives
Sets and Venn Diagrams
Probability and Sports
Stem-and-Leaf Plots
Histograms and Bar Graphs
Box Plots

Objective 4.01: Collect, organize, analyze, and display data (including box plots and histograms) to solve problems.

Mean, Median and Mode
Stem-and-Leaf Plots
Fire!, Probability, and Chaos
Box Plots
The Bell Curve

Objective 4.02: Calculate, use and interpret the mean, median, mode, range, frequency distribution, and inter-quartile range for a set of data.

Stem-and-Leaf Plots
Box Plots
The Bell Curve

Objective 4.03: Describe how the mean, median, mode, range, frequency distribution, and inter-quartile range of a set of data affect its graph.

Stem-and-Leaf Plots
Box Plots

Objective 4.04: Identify outliers and determine their effect on the mean, median, mode, and range of a set of data.

Objective 4.05: Solve problems involving two or more sets of data using appropriate statistical measures.



Competency Goal 5: The learner will demonstrate an understanding of linear relations and fundamental algebraic concepts.

Interactivate LessonsObjectives
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: Identify, analyze, and create linear relations, sequences, and functions using symbols, graphs, tables, diagrams, and written descriptions.

Introduction to Fractals: Infinity, Self-Similarity and Recursion
Introduction to Functions
Introduction to Linear Functions
Graphing and the Coordinate Plane
Cartesian Coordinate System
Graphs and Functions
Reading Graphs

Objective 5.02: Translate among different representations of algebraic expressions, equations and inequalities.

Clock Arithmetic and Cryptography
Graphs and Functions
Pascal's Triangle
Introduction to Functions
Introduction to Linear Functions
Cartesian Coordinate System
Graphing and the Coordinate Plane
Reading Graphs

Objective 5.03: Use and evaluate algebraic expressions, linear equations or inequalities to solve problems.

Pythagorean Theorem
An Introduction to Sequences
Perimeter
Area
Length, Perimeter and Area
Pascal's Triangle
The Mandelbrot Set
Introduction to Functions
Introduction to Linear Functions
Conditional Probability and Probability of Simultaneous Events
Replacement and Probability
Introduction to the Concept of Probability
Graphs and Functions
Reading Graphs
Functions and the Vertical Line Test
Impossible Graphs

Objective 5.04: Develop fluency in the use of formulas to solve problems.