In Years 5-6, we work with numbers up to millions. We identify and describe factors and multiples, and use estimation and rounding to check the reasonableness of answers.
What is 4,567,890 rounded to the nearest hundred thousand?
4,600,000
List all the factors of 24.
1, 2, 3, 4, 6, 8, 12, 24
We learn to make connections between fractions, decimals, and percentages. We solve problems involving addition and subtraction of fractions with related denominators.
What is 3/4 + 2/8? (Express in simplest form)
3/4 + 2/8 = 6/8 + 2/8 = 8/8 = 1
Convert 0.6 to a fraction and percentage.
0.6 = 3/5 = 60%
We learn to calculate the area of rectangles and the volume of rectangular prisms. We also investigate combinations of transformations and describe them using coordinates.
What is the area of a rectangle with length 12 cm and width 7 cm?
Area = length × width = 12 × 7 = 84 cm²
If a rectangular prism has dimensions 5 cm × 4 cm × 3 cm, what is its volume?
Volume = length × width × height = 5 × 4 × 3 = 60 cm³
We continue and create sequences involving whole numbers, fractions, and decimals. We describe the rule used to create the sequence and find unknown quantities in number sentences.
If 3 × ▢ + 5 = 20, what is the value of ▢?
What is the next number in this pattern: 2, 5, 8, 11, ___?
14 (adding 3 each time)
If 4 × n = 36, what is the value of n?
n = 9
We interpret and compare a range of data displays including stem-and-leaf plots and dot plots. We describe probabilities using fractions, decimals, and percentages.
If a spinner has 4 equal sections (red, blue, green, yellow), what is the probability of landing on blue?
1/4 or 0.25 or 25%
In a class of 28 students, 16 are girls. What fraction of the class are boys?
12/28 = 3/7