NCTM
Grades 6-8
Algebra
Understand patterns, relations, and functions
Lessons (8)
Students will graph input/output pairs from a simple linear function in order to gain an understanding of basic linear functions.
Introduces the basic ideas needed for understanding linear functions.
Introduces the basic ideas needed for understanding functions.
Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.
Demonstrates the connections between formulas, graphs and words.
In this lesson, students explore sets, elements, and Venn diagrams.
Introduction to various algorithms for solving single-variable, linear equations.
Activities (13)
Decode encrypted messages to determine the form for an affine cipher, and practice your reasoning and arithmetic skills. Input your guesses for the multiplier and constant. Caesar Cipher III is one of the Interactivate assessment explorers.
This activity helps you understand how to balance an equation. You input the term and the operation. The activity uses that term and operates on both sides of the equation. It then displays the resulting equation. Equation Solver is one of the Interactivate assessment explorers.
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.
Students investigate very simple functions by trying to guess the algebraic form from inputs and outputs. Function Machine is one of the Interactivate assessment explorers.
Students can create graphs of functions entered as algebraic expressions -- similar to a graphing calculator.
Create graphs of functions and sets of ordered pairs on the same coordinate plane. This is like a graphing calculator with advanced viewing options.
This applet allows the user to make observations about the relationship between speed and position and how both of these are affected by initial velocity and the incline on which the biker is traveling.
Students investigate linear functions by trying to guess the slope and intercept from inputs and outputs. Linear Function Machine is one of the Interactivate assessment explorers.
Similar to the original "Function Machine" but lists input and output in a table and will not let the user attempt to guess the rule without having at least two data points. Number Cruncher is one of the Interactivate assessment explorers.
Students investigate linear functions with positive slopes by trying to guess the slope and intercept from inputs and outputs. Positive Linear Function Machine is one of the Interactivate assessment explorers.
Graph ordered pairs and customize the graph title and axis labels. Points are connected from left to right, rather than being connected in the order they are entered.
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.
Give input to the Whole Number Cruncher and try to guess what it did from the output it generates. This activity only generates multiplication and addition functions to avoid outputting any negative numbers. Whole Number Cruncher is one of the Interactivate assessment explorers.