Number syllabus for 7th grade
Here are some key aspects of the math curriculum for Number for students aged 12 to 13:
Operations with Whole Numbers and Decimals: Students further develop their skills in performing operations with whole numbers and decimals. They expand their knowledge of mental calculation strategies and develop efficient methods for addition, subtraction, multiplication, and division. They solve more complex problems involving whole numbers and decimals.
Fractions, Decimals, and Percentages: Students continue to deepen their understanding of fractions, decimals, and percentages. They work with mixed numbers, improper fractions, and recurring decimals. They learn to convert between fractions, decimals, and percentages and apply these concepts to solve real-world problems.
Ratio and Proportion: Students explore ratios and proportions in greater depth. They learn to represent and simplify ratios, solve proportion problems, and apply proportional reasoning in various contexts. They solve problems involving rates, scale factors, and direct and inverse proportionality.
Powers and Exponents: Students learn about powers and exponents. They explore the rules of exponents, including multiplying, dividing, and raising a power to a power. They apply these rules to simplify numerical expressions and solve problems involving powers and exponents.
Square Roots and Cube Roots: Students are introduced to square roots and cube roots. They learn to find the square root and cube root of numbers and solve problems involving these operations. They explore the concept of perfect squares and perfect cubes.
Prime Factorization and Common Factors: Students learn about prime factorization and the role of prime numbers. They decompose numbers into their prime factors and use prime factorization to find common factors and calculate the greatest common factor (GCF) and least common multiple (LCM) of numbers.
Integers and Absolute Value: Students deepen their understanding of integers and absolute value. They explore the concept of negative numbers and perform operations with positive and negative integers. They solve problems involving integers and apply the concept of absolute value in various contexts.
Number Patterns and Sequences: Students extend their knowledge of number patterns and sequences. They explore arithmetic and geometric sequences in greater depth and learn to find the nth term of a sequence. They analyze patterns and generalize relationships using algebraic expressions.
Estimation and Approximation: Students continue to 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 involving large numbers, decimals, and fractions.
Problem-Solving and Mathematical Reasoning: Students engage in problem-solving activities that require critical thinking and mathematical reasoning. They solve complex problems involving numbers and apply their knowledge to real-world scenarios. They communicate their solutions effectively, using appropriate mathematical language and notation.
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 7th grade
- Order & compare
- Powers & Roots
- Multiples Factors Primes
- Fractions
- Decimals
- Percentages
- Rounding & estimating
Number topics by sub-category
Number → Order & compare → Ascending numbers
Decimals: ascending order
Choose the set of decimals, both positive and negative, that are in the correct ascending order
Fractions: arrange ascending
Arrange these sets of fractions in ascending order
All positive numbers: ascending
Choose the sets of all positive numbers that are in ascending order
Number → Order & compare → Descending numbers
Positive numbers: descending order
Select the set of numbers that are in descending order
Negative numbers: descending order
Select the set of negative numbers that are in descending order
Positive and negative: descending
Arrange these lists of positive and negative numbers in descending order
Number → Order & compare → Using symbols
Expressions: equal or not equal
Identify whether the expressions are equal or not equal
Number → Powers & Roots → Squares and cubes
Identify cube numbers
Identify the cube numbers in each group of integers
Calculate square roots
Calculate the square root or nearest integer to the square root for the given numbers
Cube roots
Identify the cube root or nearest integer cube root of each of the given numbers
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
