Mathematics
Grade 4
15 min
Solve word problems using guess-and-check
Solve word problems using guess-and-check
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1
Introduction & Learning Objectives
Learning Objectives
Identify word problems that can be solved using the guess-and-check strategy.
Make a reasonable first guess based on the information in a word problem.
Use mixed operations (addition, subtraction, multiplication, division) to check if a guess is correct.
Adjust a guess to be higher or lower based on the result of the check.
Organize their guesses and checks in a simple table or list.
Continue the guess-and-check process until the correct solution is found.
Ever tried to guess how many jellybeans are in a jar? 🤔 Let's learn a math strategy to make super smart guesses to solve tricky problems!
In this lesson, you will learn a problem-solving strategy called 'guess-and-check'. It's a powerful tool for when you're not sure how to st...
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Key Concepts & Vocabulary
TermDefinitionExample
Guess-and-CheckA problem-solving strategy where you make a smart guess for an answer, check to see if it's right, and use what you learned to make a better guess.If you need to find two numbers that add up to 10, you might guess 3 and 7. Then you check: 3 + 7 = 10. Your first guess was correct!
Word ProblemA math problem written in sentences that describes a real-life situation.'Maria has 5 apples and gets 3 more. How many apples does she have in total?' is a word problem.
ConditionA rule or piece of information in a word problem that your answer must follow.In the problem 'A farmer has 10 animals in total', the condition is that the final number of animals must be exactly 10.
Reasonable GuessA first guess that makes sense based on the number...
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Core Formulas
The Guess-and-Check Cycle
Guess -> Check -> Analyze -> Refine
This is the 4-step pattern you follow. Make a guess, check it using math, analyze if it's too high or low, and then make a better, refined guess.
The Checking Formula
(Quantity_1 \times Value_1) + (Quantity_2 \times Value_2) = Total
This is a common pattern for checking guesses in problems with two different items. You multiply the quantity of each item by its value and then add the results together to see if it matches the total in the problem.
The Analysis Rule
If Result > Target, Guess_{next} < Guess_{current}. If Result < Target, Guess_{next} > Guess_{current}.
This rule helps you refine your guess. If your check gives you a number that's too big, your next guess for one...
4 more steps in this tutorial
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Challenging
A rectangle has a perimeter of 34 inches. The length is 3 inches longer than the width. What is the area of the rectangle? (Perimeter = 2×L + 2×W; Area = L×W)
A.60 square inches
B.70 square inches
C.34 square inches
D.78 square inches
Challenging
A test has 30 questions. You get 5 points for a correct answer and lose 3 points for an incorrect answer. You answered every question and scored 78 points. How many questions did you get correct?
A.18 correct
B.21 correct
C.24 correct
D.20 correct
Challenging
In the School Store problem (10 items, notebooks $3, pens $2, total $26), a student finds that 5 notebooks and 5 pens cost $25. They know they need to increase the total. By how much does the total cost change if they trade exactly one pen for one notebook?
A.It increases by $5.
B.It decreases by $1.
C.It increases by $1.
D.It decreases by $2.
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