Math

Strong Foundations for Problem Solving and Logical Thinking

Grade 6 mathematics helps students transition from basic arithmetic to more advanced mathematical reasoning. Students learn to work confidently with numbers, relationships, patterns, and real-world data while developing critical thinking and problem-solving skills.

Number Sense and Operations


Whole Numbers

Students learn:


Students deepen their understanding of large numbers and how they are used in everyday life.

Key Concepts

Place value up to millions

Reading, writing, and comparing whole numbers

Rounding numbers to estimate answers

Using number lines

Skills to Practice

Ordering numbers from least to greatest

Estimating sums and differences

Solving real-world problems (population, distances, budgets)

Factors and Multiples

Students learn:


This topic introduces important number relationships used throughout mathematics.

Key Concepts

Factors and multiples

Prime and composite numbers

Greatest Common Factor (GCF)

Least Common Multiple (LCM)

Applications

Simplifying fractions

Solving sharing and grouping problems

Understanding patterns in numbers




Fractions, Decimals, and Percentages


Fractions

Students learn:


Students move beyond basic fraction recognition to operations and real-life use.

Key Concepts

Proper, improper, and mixed fractions

Equivalent fractions

Comparing and ordering fractions

Adding and subtracting fractions (like and unlike denominators)

Applications

Recipes and cooking

Dividing resources fairly

Measuring distances or time




Decimals

Students learn:


Decimals are introduced as another way to represent parts of a whole.

Key Concepts

Place value to thousandths

Converting fractions to decimals

Comparing and ordering decimals

Adding and subtracting decimals




Percentages

Students learn how percentages relate to fractions and decimals.

Key Concepts

Meaning of percent ('out of 100')

Converting between fractions, decimals, and percentages

Finding a percentage of a quantity

Applications

Discounts and sales

Test scores

Statistics and data interpretation

Decimals & Percentages


Ratios and Rates


Students learn:


Ratios help students compare quantities and understand relationships.

Key Concepts

Writing ratios in different forms (a:b, a to b, a/b)

Understanding rates (e.g., speed, cost per item)

Solving unit rate problems

Applications

Comparing prices

Travel speed

Scaling recipes or models

Algebra


Introduction to Algebra

Algebra introduces students to mathematical symbols and unknown values.

Key Concepts

Using variables (letters) to represent unknown numbers

Writing simple algebraic expressions

Solving one-step equations

Shapes and Properties


Shapes and angles

Students learn:


Students explore 2D and 3D shapes and their characteristics.

Key Concepts

Polygons and their properties

Types of angles (acute, right, obtuse)

Lines (parallel, perpendicular)




Area and Perimeter

Students learn how to measure space and boundaries.

Key Concepts

Perimeter of rectangles and polygons

Area of rectangles and triangles

Units of measurement

Applications

Designing rooms or gardens

Planning construction layouts

Creating floor plans




Volume (Introduction)

Students are introduced to 3D measurement.

Key Concepts

Understanding volume as space occupied

Calculating volume of rectangular prisms

Volume of a cube:

V = s3




Volume of a Cube Calculator






Measurement


Students learn:


Students apply math to measure real-world quantities.

Key Concepts

Length, mass, capacity, and time

Metric units and conversions

Temperature and elapsed time




Data Management and Probability


Data Collection and Representation

Students learn:


Students learn how to organize and interpret information.

Key Concepts

Bar graphs, line graphs, and pie charts

Mean, median, mode, and range

Interpreting trends in data




Introduction to Probability

Students explore chance and likelihood.

Key Concepts

Possible outcomes

Simple probability experiments

Expressing probability as a fraction or percentage




Problem Solving and Mathematical Reasoning


Students are encouraged to:

  • Explain your thinking clearly
  • Use multiple strategies to solve problems
  • Apply math to real-life situations
  • Check answers for accuracy and reasonableness



"I believe that failure is the starting point for success. You can either run from it or learn from it, and in difficulties, you can find opportunities." Maribel Abigail Sofian