Fractions, Decimals and Patterns

Big Ideas:

• Fractions, decimals, and percentages are different ways to represent parts of a whole.

• Patterns help us understand and predict relationships in numbers and the world around us.

• Mathematics is about finding connections and making sense of quantities.

Key Learning Outcomes (Fractions & Decimals):

Students will be able to:

• Add and subtract fractions with the same denominators (up to one whole).

• Find fractions of sets and quantities.

• Understand the relationship between fractions, decimals (tenths and hundredths), and percentages (50%, 25%, 10%).

• Convert between simple fractions and decimals (e.g., 1/2=0.5, 1/4=0.25).

Key Learning Outcomes (Patterns & Relationships):

Students will be able to:

• Create, continue, and describe sequential patterns with two variables (e.g., growing patterns).

• Describe spatial and number patterns using rules involving repeated addition, subtraction, and simple multiplication.

• Identify and describe relationships between numbers in tables.

Foundations of Fractions – Parts of a Whole

Focus: Introduction to fractions, identifying parts of a whole, adding/subtracting fractions with the same denominator.

Learning Intentions:

• Understand that fractions represent equal parts of a whole.

• Identify the numerator and denominator.

• Add and subtract fractions with the same denominator (visual and concrete).

Fractions of Sets and Quantities

Focus: Finding fractions of a collection of objects or a given quantity.

Learning Intentions:

• Find a unit fraction (e.g., 1/2, 1/4) of a set.

• Find a non-unit fraction (e.g., 2/3, 3/4) of a set.

• Find fractions of quantities (e.g., 1/2 of 10, 1/4 of 20).

Decimals – Fractions' Close Relatives

Focus: Understanding tenths and hundredths, relationship between fractions and decimals.

Learning Intentions:

• Represent tenths and hundredths using decimals.

• Understand the place value of digits in decimals (tenths, hundredths).

• Convert simple fractions (1/2, 1/4, 1/10, 1/100) to decimals.

Percentages – More Relatives and Real-World Connections

Focus: Introduction to 50%, 25%, 10%, and their relationship to fractions and decimals.

Learning Intentions:

• Understand that percentages represent "parts per hundred."

• Identify 50%, 25%, and 10% as key percentages.

• Relate these percentages to their fraction and decimal equivalents.

• Solve simple problems involving finding 50%, 25%, or 10% of a quantity.