Common Core Math Explained: A Parent's Guide
"Why can't they just do it the normal way?" Every parent helping with Common Core math homework has asked this question.
The good news: the math hasn't changed. 8 + 5 is still 13. What has changed is how children are shown the path to the answer. Once you see what each strategy is doing, the homework stops looking strange. Let's demystify Common Core and show you how to support your child.
What IS Common Core Math?
The Common Core State Standards are a set of learning goals—not a curriculum. They describe WHAT students should learn in each grade, not HOW to teach it. Your child's school chooses the textbooks and lessons; the standards set the destination.
The "new math" you're seeing is actually:
Why It Looks So Different
The Old Way (Procedural)
"Stack, carry, borrow"—follow the steps, get the answer. This works well when a child remembers every step, and falls apart when they forget one, because there's nothing underneath to rebuild it from.
The Common Core Way (Conceptual)
Understand place value deeply so the algorithm makes sense. Children learn that the 2 in 23 means 20, so "carrying the one" is really moving ten ones into the tens place.
Example: 23 + 45
Old way: Stack, add, carry if needed.
Common Core way:
Same answer, but the child understands WHY it works. That understanding pays off when numbers get bigger or when the child needs to check a calculator answer in their head.
Common Strategies Explained
Number Bonds
Breaking numbers into parts. 8 can be 5 + 3, or 4 + 4, or 7 + 1. On worksheets, a number bond usually looks like a circle with the whole (8) connected by lines to two smaller circles with the parts (5 and 3). Knowing the parts of numbers to 10 by heart is what makes the next strategy possible.
Making Ten
Use the friendly number 10 to add: 8 + 5 = 8 + 2 + 3 = 10 + 3 = 13.
Here's the thinking: 8 needs 2 more to make 10. Take that 2 from the 5, which leaves 3. Now 10 + 3 is easy. The same idea scales up: 38 + 5 = 38 + 2 + 3 = 40 + 3 = 43.
A common mistake: a child splits 5 into 2 and 3 but then forgets to use the 3, writing 8 + 5 = 10. If that happens, ask, "Where did the rest of the 5 go?" and have them point to each part.
Decomposing Numbers
Break numbers by place value: 47 = 40 + 7. This makes mental subtraction easier too. For 63 − 20, a child thinks "six tens minus two tens is four tens," so the answer is 43.
Bar Models
Visual rectangles representing quantities in word problems. Take: "Sam has 12 marbles. Lee has 5 more than Sam. How many does Lee have?" Draw one bar for Sam labeled 12. Draw Lee's bar the same length plus an extra piece labeled 5. The picture shows Lee has 12 + 5 = 17. Bar models help children decide whether to add or subtract instead of guessing from key words.
Number Lines
Show addition as "jumps" forward and subtraction as "jumps" backward. For 52 − 18, a child might start at 52, jump back 10 to 42, then back 8 to 34. Another child might jump forward from 18 to 20 (2), then to 50 (30), then to 52 (2), and add the jumps: 2 + 30 + 2 = 34. Both are correct; the second is called "counting up" and is how many adults make change.
Arrays and Area Models
For multiplication, an array is rows and columns of dots: 3 rows of 4 shows 3 × 4 = 12. Later, an area model splits a bigger problem into friendly parts. For 6 × 14, split 14 into 10 + 4: 6 × 10 = 60 and 6 × 4 = 24, so 60 + 24 = 84.
How to Help at Home
1. Stay Open-Minded
These methods seem strange because they're new to us—not to your child. Try not to call homework "silly" or "confusing" out loud; children pick up on that quickly.
2. Ask Your Child to Teach You
"Show me how YOU learned to do this." Let them be the expert. Explaining a strategy is one of the best ways to understand it, and you'll learn what the teacher is asking for.
3. Don't Teach Your Way
Adding a different method mid-unit often confuses children, especially when the assignment asks them to show a particular strategy. Stick with what they're learning in school. Once your child is solid, it's fine to show your method as "another way."
4. Focus on Understanding
Ask "Why does that work?" not just "What's the answer?" Other good questions:
5. Practice the Basics
Flash cards and drill for facts are still valuable! Strategies like making ten get faster when a child knows the pairs that make 10 instantly. A few minutes of fact practice most days helps every strategy run smoothly.
What to Do When You're Both Stuck
The Standard Algorithm Is Still Taught
Despite fears, traditional methods ARE taught. The standards expect fluency with the standard algorithm for multi-digit addition and subtraction by 4th grade, for multi-digit multiplication by 5th grade, and for long division by 6th grade.
The difference: students understand WHY the algorithm works, so they don't just memorize steps they'll forget. The strategies in earlier grades are the foundation, not a replacement.
Benefits of This Approach
Resources for Parents
Our worksheets include both conceptual approaches (bar models, number bonds) AND procedural practice—giving your child the best of both worlds.