Mathematics
Grade 5
15 min
Count to 10
Count to 10
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Analyze the properties of numbers 1 through 10, including prime, composite, even, and odd classifications.
Identify and list all factors for any whole number from 1 to 10.
Apply the basic counting principle to determine the number of possible outcomes for simple scenarios where the total is 10 or less.
Distinguish between situations where order matters and where it does not, when counting small sets of items (resulting in 10 or fewer possibilities).
Represent numbers 1-10 using various systems, such as Roman numerals and tally marks.
Solve problems involving the composition and decomposition of numbers within the range of 1 to 10.
Recognize patterns and relationships among the first ten positive integers.
Have you ever thought about how much power lies...
2
Key Concepts & Vocabulary
TermDefinitionExample
IntegerA whole number (not a fraction or decimal) that can be positive, negative, or zero. In this lesson, we focus on the positive integers from 1 to 10, and zero.The numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 are all integers.
Prime NumberA whole number greater than 1 that has exactly two distinct positive factors: 1 and itself.Within the numbers 1-10, the prime numbers are 2, 3, 5, and 7.
Composite NumberA whole number greater than 1 that has more than two distinct positive factors.Within the numbers 1-10, the composite numbers are 4, 6, 8, 9, and 10.
FactorA number that divides another number evenly, leaving no remainder.The factors of 6 are 1, 2, 3, and 6 because 1x6=6 and 2x3=6.
MultipleThe product of a number and any whole number. Multiples are the results of mu...
3
Core Formulas
Even/Odd Number Property
$N = 2k$ (for even numbers) or $N = 2k+1$ (for odd numbers)
An integer $N$ is even if it can be expressed as two times a whole number $k$. An integer $N$ is odd if it can be expressed as two times a whole number $k$ plus one. This rule helps classify numbers 1-10.
Factor Pair Relationship
If $a \times b = N$, then $a$ and $b$ are factors of $N$.
This rule helps identify all factors of a number $N$ by finding pairs of numbers that multiply to $N$. It's crucial for understanding prime and composite numbers within 1-10.
Basic Counting Principle (Multiplication Rule)
$C_{total} = C_1 \times C_2$
If there are $C_1$ ways to make a first selection and $C_2$ ways to make a second selection, the total number of ways to make both selections is the...
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Challenging
How many numbers from 1 to 10 have an odd number of factors?
A.3
B.2
C.4
D.5
Challenging
Consider the set of all odd prime numbers less than 10. How many unique ways can you arrange these numbers in a line?
A.3
B.6
C.4
D.9
Challenging
A cafe has 2 types of bread (white, wheat) and 5 types of fillings. A customer wants a sandwich but is allergic to one specific filling. How many different sandwich choices does this customer have?
A.10
B.9
C.7
D.8
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