When CUBES Meets KWL: A Math Problem-Solving Strategy That Clicked

Math word problems can be overwhelming, especially for students who struggle with breaking down information. While working with a student on fractions, I used the CUBES strategy to help structure the problem—but I felt something was missing. Could I do more to deepen engagement and understanding?

That’s when I thought about KWL. By combining both approaches, I found a way to not only help the student decode the problem but also activate prior knowledge, set a purpose for learning, and reflect on the process. The results were promising. While the strategy worked well for our focus of the day, I plan to test it with other math concepts to see if the same benefits hold.

A Quick Refresher

Strategy Definition Steps
CUBES A structured approach for tackling word problems in math.
  • C – Circle the numbers
  • U – Underline the question
  • B – Box keywords
  • E – Evaluate what operation to use (+, –, ×, ÷)
  • S – Solve and check
KWL A thinking routine commonly used for reading comprehension, adapted here for problem-solving in math.
  • K (Know) – What do I already know about this topic?
  • W (Want to know) – What do I need to figure out?
  • L (Learned) – What did I learn from solving this problem?

By incorporating KWL, I aimed to make the student’s learning more intentional—not just about solving, but about understanding.

Applying CUBES + KWL

Here’s how I combined both approaches during a lesson on fractions:

1. Before Solving: KWL Activation

  • K (Know) – I asked the student what he already knew about fractions. He recalled that fractions represent parts of a whole and that he had used fraction bars before.
  • W (Want to know) – The student identified that he needed to figure out how to compare fractions in the word problem.

2. During Solving: CUBES Breakdown

  • He used CUBES to extract important details from the problem, highlight key words, and decide which operation to use.

3. After Solving: KWL Reflection

  • L (Learned) – The student explained what he learned: that comparing fractions requires a common denominator.
  • I also asked him to explain how he had solved the sum. This meant he had to verbalise his thought process, reinforcing his understanding and allowing me to assess whether he truly grasped the concept or was following a procedure without comprehension.

By explaining his steps, the student:

  • Strengthened his reasoning skills – He articulated why he chose a particular operation or method.
  • Built confidence – Talking through his process helped him see that he could independently navigate the problem.
  • Made connections – He linked the strategy (CUBES + KWL) to his solution, reinforcing the importance of structured thinking in math.

This reflective step helped ensure that the student was not just solving the sum mechanically but understanding deeply—a crucial shift in learning.

Why This Worked

  • Metacognition Boost – KWL encouraged the student to think about his thinking. He didn’t just solve—he reflected on the process.
  • Engagement – Activating prior knowledge made the problem feel more familiar rather than intimidating.
  • Confidence Building – The structure reassured him, reducing the anxiety that often comes with math word problems.

How You Can Try This

If you work with students who struggle with word problems, consider combining CUBES and KWL:

  • Before Solving – Use KWL to activate prior knowledge and set a purpose.
  • During Solving – Apply CUBES to break down the problem step-by-step.
  • After Solving – Revisit the L in KWL to reinforce learning.

This simple adjustment helped my student make meaningful sense of fractions. If you try it, I’d love to hear your experience!

💬 Have you used KWL in math before? What strategies work best for your students? Let’s discuss!

 

CUBES + KWL Problem-Solving Template
Steps Example: Emma has ¾ of a cake. She wants to share it equally among 3 friends. How much cake will each friend get?
Step 1: KWL Activation K (Know)
What do I already know about this topic?

  • A fraction represents a part of a whole.
  • Dividing means splitting something into equal parts.
  • When we divide fractions, we often use multiplication.
W (Want to know)
What do I need to figure out?

  • How much cake will each friend get?
  • What operation shall I use?
Step 2: CUBES Strategy C
Circle the numbers

  • ¾ (the amount of cake)
  • 3 (the number of friends)
U
Underline the question

  • How much cake will each friend get?
B
Box key words

  • “share equally”
  • “each friend”
  • “fraction of a cake”
E
Evaluate operation (+, –, ×, ÷)

  • Since we are sharing equally, use division: ¾ ÷ 3
S
Solve & check your work

  • Rewrite using multiplication: ¾ ÷ 3 = ?
  • Multiply the numerators: 3 × 1 = 3
  • Multiply the denominators: 4 × 3 = 12
  • Solution: 3/12 = ¼
  • Each friend gets ¼ of the cake.
Step 3: KWL Reflection L (Learned)
What did I learn from solving this problem?

  • When dividing fractions by whole numbers, we invert and multiply.
  • This method helps break down word problems step by step.
  • Checking my work ensures my answer makes sense.