Some and Some More Problems
Some and Some More Problems is a Grade 4 word-problem framework in Saxon Math Intermediate 4 that models growing quantities using the equation Some + Some More = Total. Students identify a starting amount and a final total, then set up an equation to solve for the missing added quantity. For example, if Walter had 8 marbles and now has 17, the equation 8 + m = 17 gives m = 9. This structure trains students to read story problems carefully, distinguish the starting value from the total, and apply subtraction to find the unknown part.
Key Concepts
Property $$ \text{Some} + \text{Some more} = \text{Total} $$.
Examples Walter had 8 marbles and now has 17. How many more did he get? $8 + m = 17$, so $m = 9$. Tamira read 6 pages, then more, totaling 13. How many more pages? $6 + p = 13$, so $p = 7$.
Explanation This is for stories where an amount grows. You start with 'some,' get 'some more,' and end with a total. To find the missing amount, just subtract what you started with!
Common Questions
What is the Some and Some More equation structure?
Some + Some More = Total. You start with an initial amount, add more, and reach a total. If two values are known, subtract to find the third.
How do you solve: Walter had 8 marbles and now has 17. How many more did he get?
Set up 8 + m = 17. Subtract 8 from 17 to get m = 9. Walter got 9 more marbles.
Why do you subtract to find the Some More amount?
Because you already know the Total (the largest value). To find a missing part, you subtract the known part from the total: Total - Some = Some More.
What is a common mistake in Some and Some More problems?
Adding the two given numbers together instead of subtracting. If you already have the Total, you must subtract the starting amount to find the missing added quantity.
How does this framework help with algebra readiness?
It teaches students to write equations with a variable, like 14 + c = 25, and solve by performing inverse operations — foundational skills for algebra.