Interactivate: Standard Expectation

29 items total

Organization: National Council of Teachers of Mathematics
Grade Band: Grades 6 - 8
Standard Goal: Algebra Standard

use graphs to analyze the nature of changes in quantities in linear relationships

Impossible Graphs	Lesson: Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility.
Reading Graphs	Lesson: Demonstrates the connections between formulas, graphs and words.
An Introduction to Arithmetic and Geometric Sequences	Lesson: Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
Graphs and Functions	Lesson: Demonstrates the connections between formulas and graphs.
Introduction to Functions	Lesson: Introduces the basic ideas needed for understanding functions.
More Complicated Functions: Introduction to Linear Functions	Lesson: Introduces the basic ideas needed for understanding linear functions.
Multiplying Decimals and Mixed Numbers	Lesson: Reinforces skills associated with multiplying decimals and mixed numbers.
Patterns in Fractals	Lesson: Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
Graphing and the Coordinate Plane	Lesson: Students learn basic ideas about graphing points on the coordinate plane.
Graphs and Functions	Lesson: Demonstrates the connections between formulas and graphs.
Introduction to Functions	Lesson: Introduces the basic ideas needed for understanding functions.
More Complicated Functions: Introduction to Linear Functions	Lesson: Introduces the basic ideas needed for understanding linear functions.
An Introduction to Arithmetic and Geometric Sequences	Lesson: Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
Graphing and the Coordinate Plane	Lesson: Students learn basic ideas about graphing points on the coordinate plane.
Graphs and Functions	Lesson: Demonstrates the connections between formulas and graphs.
Impossible Graphs	Lesson: Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility.
Introduction to Functions	Lesson: Introduces the basic ideas needed for understanding functions.
More Complicated Functions: Introduction to Linear Functions	Lesson: Introduces the basic ideas needed for understanding linear functions.
Multiplying Decimals and Mixed Numbers	Lesson: Reinforces skills associated with multiplying decimals and mixed numbers.
Patterns in Fractals	Lesson: Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
Reading Graphs	Lesson: Demonstrates the connections between formulas, graphs and words.
Simple Plot	Activity: Plot ordered pairs of numbers, either as a scatter plot or with the dots connected. Points are connected from right to left, rather than being connected in the order they are entered.
Data Flyer	Activity: Enter a set of data points, then derive a function to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.
Function Flyer	Activity: A more advanced version of Slope Slider, this activity allows the manipulation of the constants and coefficients in any function thereby encouraging the user to explore the effects on the graph of the function by changing those numbers.
Slope Slider	Activity: Manipulate a linear function of the form f(x)=mx+b using slider bars. Explore the relationship between slope and intercept in the Cartesian coordinate system.
Data Flyer	Activity: Enter a set of data points, then derive a function to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.
Function Flyer	Activity: A more advanced version of Slope Slider, this activity allows the manipulation of the constants and coefficients in any function thereby encouraging the user to explore the effects on the graph of the function by changing those numbers.
Simple Plot	Activity: Plot ordered pairs of numbers, either as a scatter plot or with the dots connected. Points are connected from right to left, rather than being connected in the order they are entered.
Slope Slider	Activity: Manipulate a linear function of the form f(x)=mx+b using slider bars. Explore the relationship between slope and intercept in the Cartesian coordinate system.