Grade 4, Multiplication and Division:
"Write a word problem that requires solving a two-step problem using both multiplication and division. For example, include a situation where students first calculate the total number of objects in multiple equal groups, and then divide that total by another number to find how many objects are in each smaller group."
Grade 5, Fractions:
"Create a word problem in which a student must compare two fractions with different denominators, determine which is greater, and explain why. The problem should involve a real-life context, such as comparing portions of food or lengths of time."
Grade 6, Ratios and Proportions:
"Design a word problem where students must use a given ratio to find the missing quantity in a proportional relationship. For instance, a recipe might call for a certain ratio of ingredients, and students must calculate how much of each ingredient is needed to make a larger batch."
Grade 7, Percentages:
"Generate a word problem that involves finding the percentage increase or decrease of a quantity. For example, you could describe a scenario where a store reduces the price of an item by a certain percent, and students must calculate the sale price or the amount saved."
Grade 8, Linear Equations:
"Create a real-world word problem that leads students to write and solve a linear equation in one variable. For instance, you might describe a situation where a student is saving a certain amount of money each week to buy a bike, and they need to figure out how many weeks it will take to reach their goal."
Result: Mia is saving up to buy a new bicycle that costs $260. She earns $20 each week from babysitting. Mia already has $40 saved up. How many weeks will it take for her to save enough money to buy the bicycle?
In this case, students would write and solve the equation:
20x + 40 = 260
where x represents the number of weeks needed. Solving for x will give the number of weeks Mia needs to save.