A part of Lesson Guide in Elementary Mathematics intended for Grade 6 that focuses on rational numbers dealing on number theory
Objective
To develop in students the ability to:
1. Determine when a number is divisible by another number
2. Identify the prime and composite numbers.
3. Write the prime factorization of the given numbers.
4. Determine the greatest common factor (GCF) of 2 or more numbers.
5. Determine the least common multiple (LCM) of 2 or more numbers.
Curriculum Information
Education Type
K to 12
Grade Level
Grade 2, Grade 4, Grade 3, Grade 5
Learning Area
Mathematics
Content/Topic
Numbers and Number Sense
Intended Users
Educators
Competencies
Identifies odd and even numbers
Visualizes and represents fractions that are equal to one and greater than one
Reads and writes fractions that are equal to one and greater than one in symbols and in words
Represents fractions using regions sets and the number line
Visualizes and represents dissimilar fractions
Visualizes represents and compares dissimilar fractions
Visualizes represents and arranges dissimilar fractions in increasing or decreasing order
Visualizes and generates equivalent fractions
Identifies proper fractions improper fractions and mixed numbers
Visualizes represents and identifies unit fractions with denominators of 10 and below
Compares unit fractions using relation symbols
Reads and writes unit fractions
Arranges unit fractions in increasing or decreasing order
Identifies other fractions less than one with denominators 10 and below
Uses divisibility rules for 2, 5, and 10 to find the common factors of numbers.
Uses divisibility rules for 3, 6, and 9 to find common factors.
Uses divisibility rules for 4, 8, 12, and 11 to find common factors.
Solves routine and non-routine problems involving factors, multiples, and divisibility rules for 2,3,4,5,6,8,9,10,11, and 12.
Visualizes similar fractions using group of objects and number line
Creates problems(with reasonable answers) involving factors, multiples and divisibility rules.
Finds the common factors and the gcf of 2–4 numbers using continuous division
Finds the common multiples and lcm of 2–4 numbers using continuous division
Creates problems ( with reasonable answers) involving gcf and lcm of 2-3 given numbers.
Adds fractions and mixed fractions without and with regrouping
Creates problems (with reasonable answers) involving addition and/or subtraction of fractions using appropriate problem solving strategies
Reads and writes similar fractions
Compares similar fractions using relation symbols
Divides
- simple fractions
- whole numbers by a
fraction and vice versa
Arranges similar fractions increasing or decreasing order
