Example

Title: Proportion

Grade: 8-a Lesson: S4-L6

Explanation: Hello Students, time to learn examples. Let us take turns and read each example. Explain each step. Pay special attention to steps and pictures and communicate in your own words.

Examples:

Solve for x \$(x + 3) : 5\$ = \$(x + 6) : 3\$

Step 1a

Convert the provided proportion into a fraction \$(x + 3) /5\$ = \$(x + 6) / 3\$.

Explanation: Here, converting proportion into a fraction \$(x + 3) /5\$ = \$(x + 6) / 3\$.

Step 1b

For this step, multiply the numbers using cross-multiplication
\$(x + 3)3\$ = \$(x + 6)5\$.

\$3x + 9\$= \$5x + 30\$.

Explanation: Here, after multiply the numbers then we get \$3x + 9\$= \$5x + 30\$.

Step 1c

In this step, \$5x - 3x = 30 - 9\$.
We are currently determining the value of x: 2x = 21.

Explanation: Here, after simplification we get \$2x = 21\$.

Step 1d

The value of x is 21 divided by 2, which equals 10.5.

Explanation: Here, after simplification we get x = 10.5.


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