Algebra 1 Foundations, pg 136  Students will be able to solve and apply proportions.

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Presentation transcript:

Algebra 1 Foundations, pg 136  Students will be able to solve and apply proportions.

Algebra 1 Foundations, pg 136 In the Solve It, the number of red beads and the number of blue beads are quantities that have a proportional relationship. This means that the ratio of the quantities is constant even though the quantities themselves can change. For example, as you are making the necklace you will have 2 red beads and 3 blue beads, then 4 red beads and 6 blue beads, then 6 red beads and 9 blue beads, and so on. At each stage, the ratio of red beads to blue beads remains, a constant.  Students will be able to solve and apply proportions. 2323

Algebra 1 Foundations, pg 136, 138 A proportional relationship can produce an infinite number of equivalent ratios. You can use any two of these to write a proportion. A proportion is an equation that states that two ratios are equal. For example, =, where b ≠ 0 and d ≠ 0, is a proportion. You read this as “a is to b as c is to d.”  Students will be able to solve and apply proportions. a b c d For this proportion, a and d are the extremes of the proportion, and b and c are the means of the proportion. Notice that in the Cross Products Property the product of the means equals the product of the extremes.

Algebra 1 Foundations, pg 136  Students will be able to solve and apply proportions. Focus Question How can you solve a proportion to find an unknown quantity?  Use the Multiplication Property of Equality or the Cross Products Property.

Algebra 1 Foundations, pg 137  Students will be able to solve and apply proportions.

Algebra 1 Foundations, pg 137  Students will be able to solve and apply proportions.

Algebra 1 Foundations, pg 138  Students will be able to solve and apply proportions.

Algebra 1 Foundations, pg 139  Students will be able to solve and apply proportions. When you model a real-world situation with a proportion, you must write the proportion so that the numerators have the same units and the denominators have the same units. For example you travel 100 miles in 2 hours at a constant speed. You write proportion to find the number of miles you will travel in 5 hours. Can you arrange the proportion differently, and still get the same answer for x?

Algebra 1 Foundations, pg 139  Students will be able to solve and apply proportions.