Adding and subtracting with unlike denominators
Rewrite the fractions with a common denominator, then add or subtract. 1/2 + 1/3 = 3/6 + 2/6 = 5/6.
Try it: What is 1/4 + 2/3?
Show answer
11/12, because 3/12 + 8/12 = 11/12.
Lessons by subject. Read the lesson, try the question, then check your answer.
Topics follow the Georgia Standards of Excellence, the state's current standards (they replaced the older Common Core Georgia Performance Standards). This is an unofficial study aid, not a Coffee County Schools resource. Your teacher's pacing guide and textbook come first. Official standards: georgiastandards.org.
Rewrite the fractions with a common denominator, then add or subtract. 1/2 + 1/3 = 3/6 + 2/6 = 5/6.
Try it: What is 1/4 + 2/3?
11/12, because 3/12 + 8/12 = 11/12.
Multiply the numerators and multiply the denominators, then simplify. 2/3 × 3/5 = 6/15 = 2/5.
Try it: What is 3/4 × 2/5?
6/20, which simplifies to 3/10.
Look at the digit to the right of the place you are rounding to. If it is 5 or more, round up. 3.46 rounds to 3.5 to the nearest tenth.
Try it: Round 6.72 to the nearest tenth.
6.7.
Volume is the space inside a solid. Multiply length × width × height. A 4 by 3 by 2 prism has volume 24 cubic units.
Try it: Find the volume of a box 5 units long, 2 wide, and 3 tall.
30 cubic units.
Georgia: Atlanta. Alabama: Montgomery. Florida: Tallahassee. South Carolina: Columbia. North Carolina: Raleigh. Tennessee: Nashville.
Try it: What is the capital of Alabama?
Montgomery.
A map scale connects map distance to real distance. If 1 inch = 50 miles, then 3 inches = 150 miles.
Try it: If 1 inch = 20 miles, how far is 4 inches?
80 miles.
Mountains like the Appalachians slowed travel west. Rivers like the Mississippi worked as highways for people and goods.
Try it: Which was easier for moving goods in early America, a river or a mountain range?
A river.
Darker colors on a population map usually mean more people per area. Cities show up as dense spots.
Try it: On a population map, what do darker areas usually show?
Places with more people.
An inference is a conclusion based on clues. Use short quotes from the text to prove what you say.
Try it: Why do we use quotes from a text when explaining an inference?
To show the evidence that supports our thinking.
Compare and contrast two stories by looking at characters, settings, events, and themes. Say how they are alike and different.
Try it: Name two story parts you can compare between two books.
Examples: characters and themes (or setting, or plot).
Use commas in a list and after an introductory phrase: After lunch, we played outside. Conjunctions like and, but, and or join ideas.
Try it: Add a comma: After the game we went home.
After the game, we went home.
A simile compares with like or as. A metaphor says one thing is another. An idiom has a meaning that is not literal.
Try it: Is He was a rock during the crisis a simile or a metaphor?
A metaphor.