Two-Step Word Problems
Two-step word problems in Grade 7 require solving two sequential calculations where the result of the first step feeds into the second. In Saxon Math, Course 2, Chapter 3, students practice identifying the hidden first step before finding the final answer. For example, to find how much change Julie receives after buying 8 cans at $0.67 each, first calculate total cost ($5.36), then subtract from $20.00. This skill builds algebraic thinking and real-world problem-solving that students use throughout middle school and beyond.
Key Concepts
Property Word problems often require more than one step to solve. These problems involve two or more themes, where the answer to the first step is necessary to complete the second step and find the final solution.
Examples Julie has 20 dollars and buys 8 cans of food at 0.67 dollars each. First, find total cost: $8 \times 0.67 \text{ dollars} = 5.36 \text{ dollars}$. Then, find change: $20.00 \text{ dollars} 5.36 \text{ dollars} = 14.64 \text{ dollars}$. Three eighths of 32 ducks are wood ducks and the rest are mallards. How many are mallards? First, find wood ducks: $\frac{3}{8} \times 32 = 12$. Then, find mallards: $32 12 = 20$ mallards.
Explanation Think of these problems like a fun, two part mission! You can't just jump to the final answer. First, you must complete a preliminary objective, like figuring out the total amount of money spent. Only after you have that crucial piece of information can you proceed to the main goal, such as calculating the change. It's all about finding the hidden first step!
Common Questions
What is a two-step word problem in Grade 7?
A two-step word problem requires two separate calculations where the answer to the first step is used in the second. You cannot solve the final question directly without completing the intermediate step.
How do you identify the two steps in a word problem?
Read carefully for what information is missing before you can answer the main question. The first step usually produces a value (like total cost) that the second step uses (like finding change).
What strategies help solve two-step word problems?
Identify the final question first, then work backwards to find what intermediate value you need. Write out both steps clearly before calculating.
Can you show an example of a two-step word problem?
Sure: Julie has $20 and buys 8 cans at $0.67 each. Step 1: Find total cost = 8 × $0.67 = $5.36. Step 2: Find change = $20.00 - $5.36 = $14.64.
Where are two-step word problems covered in Saxon Math Course 2?
Two-step word problems are introduced in Chapter 3 of Saxon Math, Course 2, as part of Grade 7 problem-solving and operations skills.
How do two-step word problems connect to algebra?
They build algebraic thinking by requiring students to translate a real-world scenario into a sequence of mathematical operations — a core skill for pre-algebra and algebra courses.
What mistakes do students commonly make with two-step word problems?
Students often try to solve the final question directly without completing the first step, or they complete the steps in the wrong order, leading to an incorrect final answer.