What is the role of greenhouse gases in global warming?
A: They trap heat released by the earth thus acting like a blanket and keeping it warm. Get the student to further explain to understand if they understand their answer or if they are just answering from memory: An increase in the number of greenhouse gases causes less energy to escape from the atmosphere. Over time, this means that more and more energy is trapped on our planet and the overall, average temperature increases. Use diagrams if necessary
A rectangle is 16 inches long and 9 inches wide. What is the perimeter of the rectangle?
Basics 1: How many sides have a rectangle? 4 Basics 2: How many of those sides are the same size - how many pairs can you make? 2 Basics 3: What is the perimeter? The distance around a figure i.e. the sum of sides Basics 4: What measurement is the question asked in? Inches Solve 1: Draw out the rectangle and put the measurements next to each side Solve 2: Now add them together: 16 + 9 + 16 + 9 NOTE: If the student is capable you can time each of the differing sides by 2. Solve 3: If multiplied first - then simplify 32 + 18 Solve 4: 50 - now add the measurement Answer: 50 Inches
Definition 1. A factor is everything inside a set of brackets () Definition 2. A term is everything between signs - the equation above has 4 terms, 2x, 3, x, -4 Solve 1. Multiply each term in the first factor by each term in the second factor 2x . x = 2x^2 2x . -4 = -8x 3 . x = 3x 3 . -4 = -12 Solve 2. Combine the results 2x^2 + (-8x) + 3x + (-12) Solve 3. Simplify 2x^2 - 5x -12