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Praxis Elementary Mathematics and Science Sample Test

1 of 5

The teacher has given her class the task of adding 369 and 128. Rick is the first to come up with the right answer, so you ask him to demonstrate on the chalkboard how he cam to this answer. The following is his explanation. Which math concept is Rick using in the final step of his process?

300 + 100 = 400

60 + 20 = 80

9 + 8 = 17

400 + 80 + 10 + 7 = 497





Correct Answer:
make-a-ten strategy


the math concept rick is using in the final step of his process is the **make-a-ten strategy**. this strategy involves breaking down numbers to make addition easier, particularly by creating groups of ten. in rick's case, after adding the individual place values (hundreds, tens, and ones), he ends up with the sum of the ones as 17. rick then splits this number into 10 and 7. this method simplifies the addition process by creating a group of ten, which is easier to add mentally to the other components of the sum.

the **make-a-ten strategy** is an effective technique often taught in elementary mathematics to enhance mental math skills. by encouraging students to rearrange numbers to form tens, it helps in building a deeper understanding of the number system and fosters flexibility in thinking about numbers. this strategy goes beyond rote memorization and allows students to engage with numbers in a more meaningful way.

in rick's explanation: - he first adds each place value separately: 300 + 100 to get 400, 60 + 20 to get 80, and 9 + 8 to get 17. - observing that 17 can be split into 10 and 7, he applies the make-a-ten strategy. this split simplifies the next step of the addition, as adding 10 (a full ten) is straightforward. - finally, he adds up all the components: 400 (from the hundreds place), 80 (from the tens place), 10, and 7, resulting in the total sum of 497.

this strategy not only simplifies calculations but also enhances number sense, which is crucial in the development of mathematical understanding in young learners. by using the make-a-ten strategy, rick demonstrates a clear and effective approach to tackling addition problems that involve carrying over numbers from the ones place to the tens place.


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