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.

- Order & compare
- Powers & Roots
- Multiples Factors Primes
- Fractions
- Decimals
- Percentages
- Rounding & estimating

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

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

Identify square numbers

Identify the square numbers in each of the given groups of integers

Convert exponents to expanded form

Convert between base with exponent and expanded form e.g. 3³ <=> 3 x 3 x 3

Lowest common multiples

Identify the lowest common multiple (LCM) of 2 numbers

Identify factors

Identify the correct set of factors for numbers up to 50

Highest common factor

Identify the Highest Common Factor (HCF) for the given sets of numbers

Prime numbers

Identify the prime number or numbers in each of the given lists

Identify unit fractions

Identify the fractions that are unit fractions, or will simplify to unit fractions

Identify improper fractions

Identify the fraction or fractions that are improper fractions

Identify mixed fractions

Identify the fraction or fractions that are mixed fractions

Identify equivalent fractions

Identify the pairs of fractions that are equivalent

Calculate fractions of amounts

Calculate fractions of quantities, e.g. one third of 12 grams, etc.

Add fractions: common denominator

Add fractions with a common denominator

Add fractions: scale denominator

Add fractions by scaling up the fraction with the smaller denominator; simplify answers where possible

Add fractions using LCD

Add fractions by finding the lowest common denominator (LCD); simplify your answers where possible

Subtract fractions: common denominator

Subtract fractions which share a common denominator

Subtract fractions: scale denominator

Subtract fractions by scaling up the fraction with the smaller denominator

Subtract fractions: LCD

Subtract fractions by finding the lowest common denominator (LCD) of the two fractions

Multiply simple fractions

Multiply pairs of simple fractions and simplify your answers where possible

Multiply fractions with cancelling

Multiply fractions by cross cancelling numbers first

Fractions of amounts

Find fractions of amounts by first dividing by the fraction denominator then multiplying by the numerator

Divide fractions

Divide fractions by flipping one of the fractions (get the reciprocal of the fraction) and multiplying them

Add decimals

Add decimals by first aligning the decimal points of each number

Subtract decimals

Subtract decimals by first aligning the decimal points

Multiply decimals

Multiply decimals by initially removing the decimal point

Divide decimals by integers

Divide decimal numbers by integers

Divide integers by decimals

Divide integer values by decimal numbers

Divide decimals by decimals

Divide decimals by decimals

Multiply decimals by 10 100 1000

Multiply by powers of 10 up to 1000 by moving the digits the correct number of columns to the left

Divide decimals by 10 100 1000

Divide by powers of 10 up to 1000 by moving the digits the correct number of columns to the right

Decimals to fractions

Convert terminating decimals to their equivalent, simplified fractions

Fractions to decimals

Convert fractions to their equivalent terminating decimals

Find percentages: multiples of 10

Find a percentage using multiples of 10

Percentages to fractions

Identify the correct, simplified fraction for each of the given percentages

Percentages to decimals

Identify the correct decimal for each of the given percentages

Fractions to percentages

Identify the correct percentage for each of the given fractions

Fractions and percentages

Compare by converting both fractions and percentages to decimals; select the larger decimal

Round numbers: nearest 10

Round each of the given numbers to the nearest 10

Round numbers: nearest 100

Round each given number to the nearest 100

Round numbers: nearest 1000

Round each of the given numbers to the nearest 1000

Round decimals: nearest integer

Round each of the given decimals to the nearest whole number (integer)

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