Number syllabus for 6th grade
The math curriculum for number for students aged 11 to 12 focuses on further developing their understanding and skills in working with numbers, including whole numbers, fractions, decimals, and integers. Here are some key aspects of the math curriculum for Number for students aged 11 to 12:
Place Value and Number Sense: Students deepen their understanding of place value and extend their knowledge of number systems. They work with larger numbers, including millions and billions, and develop their ability to read, write, compare, and order such numbers. They explore the magnitude of numbers and develop number sense.
Operations with Whole Numbers: Students expand their skills in performing operations with whole numbers. They practice addition, subtraction, multiplication, and division of multi-digit numbers, including long division with remainders. They solve real-world problems involving whole numbers and develop mental calculation strategies.
Fractions: Students continue to develop their understanding of fractions. They explore equivalent fractions, simplifying fractions, and comparing and ordering fractions. They learn to add, subtract, multiply, and divide fractions, including fractions with different denominators. They solve problems involving fractions in various contexts.
Decimals: Students work extensively with decimals. They learn to read, write, compare, and order decimals. They explore decimal place value, including tenths, hundredths, and thousandths. They perform operations with decimals, including addition, subtraction, multiplication, and division. They apply decimals to solve real-life problems.
Percentages: Students explore percentages and their relationship to fractions and decimals. They learn to convert between fractions, decimals, and percentages. They solve problems involving percentages, such as calculating discounts, sales tax, and simple interest. They develop their understanding of percent increase and decrease.
Rational Numbers: Students extend their knowledge to include rational numbers, which encompass fractions, decimals, and integers. They explore the relationships between these number types and perform operations with rational numbers. They develop a conceptual understanding of negative numbers and work with negative integers.
Number Patterns and Sequences: Students explore number patterns and sequences. They identify and continue numerical patterns, including arithmetic and geometric sequences. They develop strategies for finding the next term in a sequence and explore patterns in tables, graphs, and algebraic expressions.
Problem-Solving Strategies: Students develop problem-solving skills by applying their number knowledge to solve real-world and mathematical problems. They learn various problem-solving strategies, including working backward, making a table, and using logical reasoning. They communicate their reasoning and solutions effectively.
Estimation and Approximation: Students refine their skills in estimation and approximation. They learn to use rounding and mental calculation strategies to estimate results. They apply estimation to check the reasonableness of answers and solve problems in a variety of contexts.
Mathematical Reasoning and Justification: Students develop their ability to reason mathematically and justify their thinking. They explain their strategies, generalize patterns, and prove simple mathematical statements. They engage in critical thinking and logical reasoning to solve problems and analyze number relationships.
Throughout the curriculum, students engage in hands-on activities, mathematical investigations, and problem-solving tasks to reinforce their understanding of numbers. They develop their skills in computation, estimation, logical reasoning, and mathematical communication.
Number sub-categories for 6th grade
- Order & compare
- Powers & Roots
- Multiples Factors Primes
- Fractions
- Decimals
- Percentages
- Rounding & estimating
Number topics by sub-category
Number → Order & compare → Ascending integers
Order positive integers
Select the set of positive integers that are in ascending order
Order negative integers
Arrange the negative integers in ascending order from smallest to largest
Arrange integers ascending
Choose the set of positive and negative integers that are in correct ascending order
Number → Order & compare → Ascending numbers
Positive decimals
Choose the set of positive decimals that are in ascending order
Positive fractions: ascending order
Arrange these sets of positive fractions in ascending order
Number → Powers & Roots → Squares and cubes
Identify square numbers
Identify the square numbers in each of the given groups of integers
Number → Powers & Roots → Indices
Convert exponents to expanded form
Convert between base with exponent and expanded form e.g. 3³ <=> 3 x 3 x 3
Number → Multiples Factors Primes → Multiples
Lowest common multiples
Identify the lowest common multiple (LCM) of 2 numbers
