Rates (Mon Feb 22)
Sometimes a ratio can also be a rate. A rate is a comparison that relates the measures for two different types of quantities. For each measure, the unit is different and is included when writing the ratio or rate.
When the denominator of a rate is one, we call the rate a UNIT RATE. We usually use the key word PER or the division symbol / to indicate a unit rate. You MUST INCLUDE UNITS when working with RATES (If you do not include units you will lose marks) Examples: All prices are rates and ratios (ex. 3 chocolate bars for a dollar, $1.99 per kilogram). The comparison of tie to distance is also a rate (ex. Driving 65km per hour) |
Ratio/Proportions (Tues Feb 16)
Ratio: Comparison of two or more quantities (eg. 1 out of 4 were interviewed)
Proportion: Statement of equality between two ratios
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Algebraic Expressions (Mon Jan 4)
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponents)
Continuing Algebraic Expressions - Constant Change in Values (Tues Jan 5)
Number of Triangles (Term Value)
Number of Matches (Term Number)
When we have Term Numbers changing by the same value we can use the difference to help us determine the Algebraic Expression
In this example the number of matches is always increasing by 3.
3 multiplied by the term value gives us the term number
Algebraic Expression = 3n
Number of Matches (Term Number)
When we have Term Numbers changing by the same value we can use the difference to help us determine the Algebraic Expression
In this example the number of matches is always increasing by 3.
3 multiplied by the term value gives us the term number
Algebraic Expression = 3n