Mathematics 5

Unit 1: Number

Big Idea: numbers describe scale, and computational fluency requires a strong sense of number. Numbers to a million, decimals to thousandths, equivalent fractions, whole-number/fraction/decimal benchmarks, big addition and subtraction, three-digit multiplication and division, decimal addition and subtraction, and building fluency with facts.

• Understanding numbers to 1 000 000

• Reading and comparing decimals to thousandths

• Finding equivalent fractions

• Using benchmarks to estimate and place numbers

• Adding and subtracting whole numbers to 1 000 000

• Multiplying and dividing to three digits, including remainders

• Adding and subtracting decimals to thousandths

• Quick addition and subtraction facts to 20
• Growing multiplication and division facts to 100

Unit 2: Patterns and Algebra

Big Idea: patterns can be used to make generalizations, and equations represent relationships. Describing increasing and decreasing pattern rules with words, numbers, symbols, and variables, and solving one-step equations with a variable.

• Describing pattern rules in different ways

• Solving one-step equations

Unit 3: Measurement

Big Idea: the choice of a unit of measure affects precision, and relationships between shapes and their measurements can be described. Measuring area of squares and rectangles, the relationship between area and perimeter, and measuring duration of time.

• Measuring area of squares and rectangles

• How area and perimeter relate

• Figuring out how much time has passed

Unit 4: Geometry

Big Idea: shapes can be classified by their attributes, and can be transformed in predictable ways. Classifying prisms and pyramids by their attributes, and applying a single transformation (translation, rotation, or reflection) to a shape.

• Classifying prisms and pyramids

• Applying one transformation to a shape

Unit 5: Data and Likelihood

Big Idea: data represented in graphs can be used to show many-to-one relationships, and analyzing chance builds understanding of likelihood. Moving from graphs where one picture or unit stands for one thing (one-to-one) to graphs where one picture or unit stands for many (many-to-one), and running single-event probability experiments.

• Reading graphs where one symbol stands for many

• Testing the chance of a single event

Unit 6: Financial Literacy

Big Idea: concrete experiences with money support the development of financial literacy. Making change with larger amounts of money and developing simple financial plans.

• Making change and planning simple savings