Unit 3: Patterns in Mathematics
Unit 3: Patterns in Mathematics
Embedded Files
A pattern rule is a description of how the pattern starts and how it continues (the amount it increases or decreases).
A pattern rule is a description of how the pattern starts and how it continues (the amount it increases or decreases).
In this example:
The Row number starts at 1 and increases by 1 each time.
The Number of Blocks starts at 2 and increases by 3 each time.
Based on the observed pattern in the table of values, students should be able to predict the value of an unknown term.
For example: They should be able to to determine the number of blocks in row 7.
Row 5 would have 14 blocks; row 6 would have 17 blocks; and row 7 would have 20 blocks.
Students are expected to be given one of the following and solve for the other two :
Students are expected to be given one of the following and solve for the other two :
Number Rule
Number Rule
I start with 1 and increase by 3 each time.
I start with 1 and increase by 3 each time.
Image
Image
Chart
Chart
Finding an expression using a variable:
Finding an expression using a variable:
Variable: a variable is a symbol (usually a letter) standing in for an unknown numerical value in an equation or an algebraic expression. In simple words, a variable is a quantity that can be changed and is not fixed.
Variable: a variable is a symbol (usually a letter) standing in for an unknown numerical value in an equation or an algebraic expression. In simple words, a variable is a quantity that can be changed and is not fixed.
Ex. In the expression 3n + 1 ... n is the variable. It's value can be replaced by any integer.
Ex. In the expression 3n + 1 ... n is the variable. It's value can be replaced by any integer.
Students are expected to find an expression using a variable! Please see the following examples below!
Students are expected to find an expression using a variable! Please see the following examples below!
Four more than a number n + 4
Three less than a number n - 3
A number less than 15 15 - n
Triple a number 3n or 3 x n
Four more than double a number 2n + 4 or 4 + 2n
Quadruple a number 4n or 4 x n
2 less than triple a number 3n - 2
Students are expected to fill out the missing information in a chart by solving using given variables!
In this example, the expression is "n - 5". Students must plug in the different values of "n" to solve for numbers in the right column.
Page updated
Report abuse