How to learn Grade 4: Mathematics
Manitoba curriculum: Mathematics, Grade 4
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1. Statistics and Probability
- Pictograms and tally charts: Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables
2. Shape and Space
- 2-D shapes (age 8+): Identify lines of symmetry in 2-D shapes presented in different orientations; recognise line-symmetric figures and draw lines of symmetry
- 3-D shapes (age 9+): Identify 3-D shapes, including cubes and other cuboids, from 2-D representations
- 3-D shapes (age 10+): Recognise, describe, and build simple 3-D shapes, including making nets
- Area of compound shapes: Recognise area as additive; find areas of rectilinear figures by decomposing into non-overlapping rectangles and summing their areas
- Estimating answers (age 9+): Apply the area formula (l × w) and perimeter formula (2l + 2w) for rectangles including squares in real-world and mathematical problems; calculate and compare areas using standard units (cm², m²) and estimate areas of irregular shapes
- Understanding Area: Understand that a unit square has one square unit of area and that the area of a plane figure is the number of unit squares that cover it without gaps or overlaps
- 12-hour and 24-hour time: Read, write, and convert time between analogue and digital 12-hour and 24-hour clocks
3. Patterns and Relations
- Two-Step Equations: Solve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity
- Writing Algebraic Equations: Express missing number problems algebraically using letters for unknowns; translate word problems into equations
- Number Pattern Relationships: Generate two numerical patterns using two given rules; identify relationships between corresponding terms; form ordered pairs and graph them on a coordinate plane
- Patterns in Times Tables: Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations
4. Number
- Adding and subtracting (age 10+): Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why, with numbers up to 10,000,000 and decimals
- Tenths (age 8+): Count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 or dividing tenths by 10
- Decimal equivalents of tenths and hundredths: Recognise and write decimal equivalents of any number of tenths or hundredths (e.g. 3/10 = 0.3, 27/100 = 0.27)
- Decimals for Tenths & Hundredths: Use decimal notation for fractions with denominators 10 or 100; read and write decimal numbers as fractions (e.g. 0.62 = 62/100, 0.71 = 71/100)
- Fraction Notation: Read, write, and use fraction notation correctly — fraction, numerator, denominator, unit fraction, non-unit fraction, proper fraction, improper fraction, mixed number, equivalent fraction, simplest form — and understand what each term describes, including the roles of the numerator and denominator in expressing parts of a whole
- Dividing fractions (unit fractions): Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between multiplication and division to explain the result
- Fractions of a whole: Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b
- Division with Decimals: Use written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers
- Written Multiplication: Multiply two-digit and three-digit numbers by a one-digit number using formal written layout
- Mental multiplication and division (age 9+): Multiply and divide numbers mentally drawing upon known facts, including related facts and place-value adjustments
- Properties of Operations: Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide
- Numbers to 10,000: Identify, represent, and estimate numbers up to 10,000 using different representations
- Comparing Large Numbers: Order and compare numbers beyond 1000