How to learn Grade 6: Mathematics

New Brunswick curriculum: Mathematics, Grade 6

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1. Statistics and Probability

1. Experimental probability: Record, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of probability
2. Line graphs (age 10+): Interpret and construct pie charts and line graphs; use these to solve problems

2. Shape and Space

1. Plotting points in the first quadrant: Plot and read ordered pairs in the first quadrant of the coordinate plane; represent real-world and mathematical problems by graphing points and interpreting coordinate values in context
2. Regular and irregular polygons: Distinguish between regular and irregular polygons based on reasoning about equal sides and equal angles
3. Types of angles (age 11+): Use conventional geometric terms and notation to describe, sketch, and draw points, lines, parallel and perpendicular lines, right angles, regular polygons, and reflectively/rotationally symmetric polygons
4. Circles: Circumference & Area: Calculate the circumference and area of circles using the formulae C = πd (or 2πr) and A = πr², and solve problems involving perimeters and areas of composite shapes that include circular parts
5. Using Simple Formulae: Use simple formulae expressed in words or symbols to calculate values (e.g. perimeter = 2 × (length + width))

3. Patterns and Relations

1. 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

4. Number

1. Order of operations: Understand and apply the conventional order of operations (PEMDAS/BODMAS) to carry out calculations involving the four operations
2. Multiplying and dividing: Multiply and divide whole numbers and those involving decimals by 10, 100, and 1000
3. Ratio Problems: Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts
4. Factors, multiples, and primes: Find all factor pairs for a whole number in the range 1–100; identify common factors and common multiples of two numbers; use these concepts to solve problems
5. Calculating Percentages: Solve problems involving the calculation of percentages of amounts (e.g. 15% of 360) and the use of percentages for comparison
6. Mixed numbers and improper fractions: Recognise mixed numbers and improper fractions; convert from one form to the other (e.g. 2/5 + 4/5 = 6/5 = 1 1/5)
7. Reading Decimal Places: Identify the value of each digit in numbers given to three decimal places (e.g. in 4.378, the 7 represents 7 hundredths)