Solving Proportions

Have you ever played dominoes? In the standard set of dominoes,
7 out of 28 tiles, or one-fourth of the tiles, are doubles.

 
The ratios \(\frac{7}{28}\) and \(\frac{1}{4}\) are equivalent.
That is \(\frac{7}{28}\) = \(\frac{1}{4}\).
The equation \(\frac{7}{28}\) = \(\frac{1}{4}\) is an example of a proportion.
Continue reading Solving Proportions

Percents and Fractions

You’ll learn to express percents as fractions and vice versa. Knowing how to express a number in a different form can help you interpret a monthly budget.

You know that a 10 x 10 grid can be used to represent hundredths. Since the word percent means out of one hundred, you can also use a 10 x 10 grid to model percents.

Shade two fifths of the 10 x 10 grid. What percent have you modeled? Continue reading Percents and Fractions

Investigating Exponential Functions

Collect the Data
Step 1 Cut a sheet of notebook paper in half.
Step 2 Stack the two halves, one on top of the other.
Step 3 Make a table like the one below and record
the number of sheets of paper you have in
the stack after one cut.
Step 4 Cut the two stacked sheets in half, placing the resulting pieces in a single
stack. Record the number of sheets of paper in the new stack after 2 cuts.
Step 5 Continue cutting the stack in half, each time putting the resulting piles in a
single stack and recording the number of sheets in the stack. Stop when the
resulting stack is too thick to cut. Continue reading Investigating Exponential Functions