NC PRAXIS 7813 Exam with Solutions
1. adding from left In this example we are adding 25+34. First, we add the tens: 20+30, to make 50.
Then we add the ones: 5+4, to make 9. Lastly, we add 50+9 to make 59. Decompose
numbers into a simpler form
2. counting on Using this technique, a student starts with the larger number and "counts on" with
the other addends to get to the sum. For example, if the number sentence is 4 +
3, the student will identify 4 as the larger number and count on three more—"4
... 5, 6, 7."
3. Associative prop- when more than two numbers are added or multiplied, the result remains the
erty same, irrespective of how they are grouped. For instance, 2 × (7 × 6) = (2 × 7) × 6.
4. Addition strate- when you try to turn one of the numbers in an addition problem into 10. The first
gy- making tens example demonstrates this strategy. The problem is 9 + 5. Add a value to 9 to make
it 10.
5. Base 10 blocks mathematical manipulative used by students to learn basic mathematical concepts
including addition, subtraction, number sense, place value and counting.
6. Benchmark num- numbers using which other numbers or quantities can be estimated and com-
bers pared. Benchmark numbers are usually multiples of 10 or 100, and sometimes
multiples of 25. They are used to simplify the operations such as addition, sub-
traction, etc
7. cardinality/cardi- the numbers that are used for counting something. the counting numbers that
nal numbers start from 1 and go on sequentially and are not fractions.
8. classification arranging or sorting objects into groups on the basis of a common property that
they have. If you have a group of things, such as fruits or geometric shapes, you
can classify them based on the property that they possess.
9. Commutative the numbers on which we operate can be moved or swapped from their position
property without making any ditterence to the answer. with addition and multiplication of
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, NC PRAXIS 7813 Exam with Solutions
numbers, you can change the order of the numbers in the problem and it will not
attect the answer.
10. Composite num- All the natural numbers which are not prime numbers as they can be divided by
ber more than two numbers. For example, 6 is a number because it is divisible by
1, 2, 3 and even by 6.
11. compose is putting a number together using its parts.
12. count on Start with the biggest number and then count up from there.
13. Counting counting by adding one more, every time.
strategy-forward
counting
14. difference To find the ditterence between two numbers means to subtract one number from
the other. There are many ways of expressing the subtraction of two numbers, for
example: Take away: To take away one number from another is to subtract one
number from another.
15. Distributive prop- multiplying the sum of two or more addends by a number will give the same
erty result as multiplying each addend individually by the number and then adding
the products together
16. Equation a mathematical statement that shows that two mathematical expressions are equal
17. Expression a sentence with a minimum of two numbers or variables and at least one math
operation.
18. multiply/multipli- the process of calculating the product of two or more numbers
cation
19. numeral A numeral is a symbol or name that stands for a number. Number is expressed with
digits, while a numeral is a word describing a number.
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1. adding from left In this example we are adding 25+34. First, we add the tens: 20+30, to make 50.
Then we add the ones: 5+4, to make 9. Lastly, we add 50+9 to make 59. Decompose
numbers into a simpler form
2. counting on Using this technique, a student starts with the larger number and "counts on" with
the other addends to get to the sum. For example, if the number sentence is 4 +
3, the student will identify 4 as the larger number and count on three more—"4
... 5, 6, 7."
3. Associative prop- when more than two numbers are added or multiplied, the result remains the
erty same, irrespective of how they are grouped. For instance, 2 × (7 × 6) = (2 × 7) × 6.
4. Addition strate- when you try to turn one of the numbers in an addition problem into 10. The first
gy- making tens example demonstrates this strategy. The problem is 9 + 5. Add a value to 9 to make
it 10.
5. Base 10 blocks mathematical manipulative used by students to learn basic mathematical concepts
including addition, subtraction, number sense, place value and counting.
6. Benchmark num- numbers using which other numbers or quantities can be estimated and com-
bers pared. Benchmark numbers are usually multiples of 10 or 100, and sometimes
multiples of 25. They are used to simplify the operations such as addition, sub-
traction, etc
7. cardinality/cardi- the numbers that are used for counting something. the counting numbers that
nal numbers start from 1 and go on sequentially and are not fractions.
8. classification arranging or sorting objects into groups on the basis of a common property that
they have. If you have a group of things, such as fruits or geometric shapes, you
can classify them based on the property that they possess.
9. Commutative the numbers on which we operate can be moved or swapped from their position
property without making any ditterence to the answer. with addition and multiplication of
1/8
, NC PRAXIS 7813 Exam with Solutions
numbers, you can change the order of the numbers in the problem and it will not
attect the answer.
10. Composite num- All the natural numbers which are not prime numbers as they can be divided by
ber more than two numbers. For example, 6 is a number because it is divisible by
1, 2, 3 and even by 6.
11. compose is putting a number together using its parts.
12. count on Start with the biggest number and then count up from there.
13. Counting counting by adding one more, every time.
strategy-forward
counting
14. difference To find the ditterence between two numbers means to subtract one number from
the other. There are many ways of expressing the subtraction of two numbers, for
example: Take away: To take away one number from another is to subtract one
number from another.
15. Distributive prop- multiplying the sum of two or more addends by a number will give the same
erty result as multiplying each addend individually by the number and then adding
the products together
16. Equation a mathematical statement that shows that two mathematical expressions are equal
17. Expression a sentence with a minimum of two numbers or variables and at least one math
operation.
18. multiply/multipli- the process of calculating the product of two or more numbers
cation
19. numeral A numeral is a symbol or name that stands for a number. Number is expressed with
digits, while a numeral is a word describing a number.
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