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Grade 6 Math

Understanding Integers: Integers are whole numbers that include both positive and negative numbers, as well as zero. It’s important for students to understand the concept of negative numbers and how they relate to positive numbers on a number line. Divisibility Rules: Learning divisibility rules can help students quickly identify if a number is divisible by […]

Instructor Kshitiz Dalal
Updated April 4, 2023

About Course

Understanding Integers: Integers are whole numbers that include both positive and negative numbers, as well as zero. It’s important for students to understand the concept of negative numbers and how they relate to positive numbers on a number line.

Divisibility Rules: Learning divisibility rules can help students quickly identify if a number is divisible by a certain factor without having to perform division. These rules can also help students recognize patterns and properties of numbers.

Operations with Fractions: Dividing a whole number by a fraction or mixed number can be tricky. It’s important for students to understand the concept of reciprocals and how to convert mixed numbers to improper fractions before performing operations.

Problem Solving: As students progress, they will encounter more complex problems that involve multiple operations and different types of numbers (whole numbers, decimals, and fractions). Encourage students to read problems carefully, identify the necessary operations, and check their work to ensure accuracy.

Practice and Persistence: As with any skill, practice is key. Encourage students to practice regularly and persist through difficult problems. Celebrate their successes and encourage them to keep pushing themselves to learn more.

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Course Content

Number
In addition to working with numbers up to 1 million, students are introduced to integers, such as -2, -1, 0, 1, 2. They are learning the divisibility rules of 2, 3, 4, 5, 6, 8, 9, and 10. For example, a number is divisible by 5 if it ends in a 5 or 0. Expanding operational skills include dividing a whole number by a fraction or a mixed number, such as 2½. Students also solve problems that involve more than one operation and the use of whole numbers, decimals and fractions.

Algebra
Students continue to work with patterns and start to identify patterns that grow at a constant rate. For example, if someone drives 100 kilometers per hour, the distance travelled increases by 100 kilometers for each hour. They solve algebraic expressions involving whole numbers and decimal tenths, and algebraic equations involving multiple terms, such as 2x + 3x = 5. Students use code to solve problems that involve optimization, such as finding the maximum area for a given perimeter. They also use the process of mathematical modelling to solve problems drawn from real-life, such as finding several different ways to maximize the play area in a playground design and calculating the costs of each.

Data
Students learn to distinguish between discrete data, such as the number of students, and continuous data, such as the amount of precipitation in centimeters. They can choose how to display these different types of data, including the use of broken-line graphs to show the change over time. In addition, students learn different ways to describe probability. For example, there is a one in four chance of winning a prize at the school fun fair, or there is a 40% chance of rain tomorrow.

Spatial sense
Developing spatial sense continues with an emphasis on four-sided shapes. Students learn the characteristics and properties of different kinds of four-sided shapes and find their areas. They also build three-dimensional structures and learn to calculate surface area. Students learn to convert from one unit to another in the metric system. They also focus on extending their ability to measure angles.

Financial literacy
The advantages and disadvantages of using different methods of payment for goods and services are explored. Students investigate different types of financial goals, identify and describe factors that could affect these goals, and outline steps to achieve them. Students explain the concept of interest rates and identify interest rates and fees offered by banks and other financial institutions. They also learn how trading, lending, borrowing and donating are different ways to distribute resources.

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