Mathematics
Grade 7
15 min
Addition and subtraction word problems - up to 20
Addition and subtraction word problems - up to 20
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify keywords and phrases that indicate addition or subtraction in word problems.
Translate one-step and two-step word problems (involving numbers up to 20) into mathematical expressions.
Accurately solve addition and subtraction word problems with sums and differences up to 20.
Apply systematic problem-solving strategies to interpret and solve simple word problems.
Verify the reasonableness of their solutions in the context of the original word problem.
Recognize the importance of precise problem interpretation as a fundamental skill for advanced mathematics.
Ever wonder why even simple math problems can feel tricky when they're wrapped in words? 🤔 Let's unlock the secrets to solving them with ease!
In this lesson, we'll revisit addi...
2
Key Concepts & Vocabulary
TermDefinitionExample
Word ProblemA mathematical problem presented in words, requiring careful reading and interpretation to translate into numerical operations.If John has 5 apples and buys 3 more, how many does he have?
KeywordsSpecific words or phrases within a word problem that provide clues about which mathematical operation (addition or subtraction) to use.'Total,' 'altogether,' 'sum' often indicate addition; 'left,' 'difference,' 'take away' often indicate subtraction.
AdditionThe mathematical operation of combining two or more quantities to find their sum or total.Combining 7 marbles and 4 marbles results in $7 + 4 = 11$ marbles.
SubtractionThe mathematical operation of taking one quantity away from another to find the di...
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Core Formulas
Rule 1: Identify the Question
Read the problem carefully and underline or highlight the specific question being asked.
Before attempting any calculations, ensure you understand what the problem is asking you to find. This prevents solving for an intermediate step or an irrelevant quantity.
Rule 2: Extract Key Information and Keywords
Identify all numerical values given in the problem and look for keywords that indicate addition (e.g., 'altogether', 'in all', 'sum', 'more than') or subtraction (e.g., 'left', 'difference', 'take away', 'less than').
These clues are vital for translating the words into the correct mathematical operation. Write down the numbers and the implied operation.
Rule 3:...
5 more steps in this tutorial
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Challenging
According to the tutorial, what is the primary purpose of the 'Check for Reasonableness' step in problem-solving?
A.To find a faster way to solve the problem.
B.To ensure the answer makes logical sense in the real-world context of the problem.
C.To double-check the addition or subtraction calculation for accuracy.
D.To choose the correct keywords for the operation.
Challenging
A team scored 9 points in the first half of a game. By the end of the game, their total score was 17. Their opponent scored 11 points in the entire game. What is the difference between the points the team scored in the second half and their opponent's total score?
A.3
B.8
C.6
D.1
Challenging
A problem states: 'A value *v* is decreased by 8, and the result is 11.' How does translating this into the equation *v* - 8 = 11 demonstrate a fundamental skill for more advanced mathematics like algebra?
A.It shows you can perform subtraction with numbers up to 20.
B.It proves that word problems are always about finding a single numerical answer.
C.It shows the ability to convert descriptive language into a symbolic, structured equation, which is the basis of algebra.
D.It helps identify keywords like 'decreased by' to choose an operation.
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