Grade 7 Mathematics
Engage with comprehensive and interactive lessons tailored for seventh graders to build a robust mathematical foundation.
Whole Numbers
Revise and master operations, properties, multiples, factors, and problem-solving with whole numbers.
Learn MoreCommon Fractions
Order, compare, simplify, and perform calculations with common fractions, including mixed numbers.
Learn MoreDecimal Fractions
Recognize, order, and perform calculations with decimal fractions up to three decimal places.
Learn MoreExponents
Master squares, cubes, and their roots, and perform calculations using exponential forms.
Learn MoreNumeric & Geometric Patterns
Investigate and extend numeric and geometric patterns, identifying relationships and rules.
Learn MoreFunctions & Relationships
Explore functions and relationships through input-output tables, flow diagrams, and number sentences.
Learn MoreConstruction of Geometric Figures
Accurately construct geometric figures using protractors, compasses, and rulers.
Learn MoreGeometry of Straight Lines
Define and explore properties of lines, including segments, rays, parallelism, and perpendicularity.
Learn MoreGeometry of 2D Shapes
Classify and compare 2D shapes, understanding properties of triangles and quadrilaterals.
Learn MoreTransformation Geometry
Perform and describe translations, reflections, and rotations on geometric figures.
Learn MoreArea & Perimeter of 2D Shapes
Calculate the area and perimeter of various polygons using appropriate formulas.
Learn MoreSurface Area & Volume of 3D Objects
Calculate the surface area and volume of cubes and rectangular prisms, understanding their interrelationships.
Learn MoreData Handling
Collect, organize, represent, and interpret data using various methods and tools.
Learn MoreSolving Problems
Apply mathematical concepts to solve real-world problems in various contexts.
Learn MoreWhole Numbers Subtopics
- Revision: Revise ordering, comparing, and representing 9-digit whole numbers, properties of operations, and calculations using all operations.
- Calculation Techniques: Use strategies like long division, column addition/subtraction/multiplication, estimation, rounding off, and using calculators to perform and check calculations.
- Multiples and Factors: List prime factors of up to 3-digit whole numbers and find the Least Common Multiple (LCM) and Highest Common Factor (HCF) by inspection or factorization.
- Solving Problems: Solve problems involving ratios, rates, and sharing in given ratios. Tackle financial contexts such as profit, loss, discount, budgets, accounts, loans, and simple interest.
- Interactive Activity: Whole Numbers Challenge
- Formal Assessment Tasks: Assignments and tests covering all whole numbers topics to assess understanding and application.
Common Fractions Subtopics
- Ordering, Comparing, and Simplifying: Extend understanding to thousandths, and simplify common fractions.
- Calculations with Fractions: Perform addition and subtraction of fractions, including mixed numbers with unlike denominators. Multiply common fractions, including mixed numbers, without limiting denominators.
- Calculation Techniques: Convert mixed numbers to improper fractions, simplify fractions before or after calculations, and use equivalent fractions for addition and subtraction.
- Percentages: Calculate percentages of parts of wholes and percentage increases/decreases of whole numbers.
- Solving Problems: Solve problems involving common fractions, mixed numbers, and percentages in various contexts.
- Interactive Activity: Fractions Mastery
Decimal Fractions Subtopics
- Ordering and Comparing: Count forwards and backwards in decimal fractions up to three decimal places, understand place value, and round off to two decimal places.
- Calculations with Decimals: Perform addition and subtraction of decimal fractions up to three decimal places. Multiply decimals by whole numbers and other decimals, and divide decimals by whole numbers.
- Calculation Techniques: Use place value understanding to estimate decimal places in results, and use rounding and calculators to check results.
- Solving Problems: Tackle problems involving decimal fractions in various contexts.
- Equivalent Forms: Recognize equivalence between fractions, decimals, and percentages.
- Interactive Activity: Decimal Fractions Challenge
Exponents Subtopics
- Mental Calculations: Determine squares up to 12² and their square roots, and cubes up to 6³ and their cube roots.
- Comparing and Representing Exponential Form: Compare and represent whole numbers in exponential form (a^b).
- Calculations with Exponents: Use laws of exponents and perform calculations involving all four operations with exponents and roots.
- Interactive Activity: Exponents Explorer
Integers Subtopics
- Counting, Ordering, and Comparing: Count forwards and backwards on the integer number line, and compare integers.
- Calculations with Integers: Perform addition and subtraction with integers.
- Properties of Integers: Recognize and apply commutative and associative properties of addition with integers.
- Interactive Activity: Integers Challenge
Numeric & Geometric Patterns Subtopics
- Investigate and Extend Patterns: Explore numeric and geometric patterns, identifying relationships and rules, including non-constant difference or ratio patterns. Create and represent patterns in tables and diagrams.
- Describe and Justify Rules: Articulate the general rules governing observed patterns in own words.
- Interactive Activity: Patterns Pro
Functions & Relationships Subtopics
- Input and Output Values: Determine input values, output values, and rules for patterns using flow diagrams, tables, and formulas.
- Equivalent Forms: Interpret and justify equivalence of relationships presented verbally, in flow diagrams, tables, formulas, and number sentences.
- Interactive Activity: Functions Explorer
Construction of Geometric Figures Subtopics
- Measuring Angles: Use a protractor to measure and classify angles: acute, right, obtuse, straight, reflex.
- Constructions: Accurately construct angles, parallel lines, and perpendicular lines using compass, ruler, and protractor.
- Circle Parts: Describe and name parts of a circle.
- Interactive Activity: Geometric Construction
Geometry of Straight Lines Subtopics
- Definitions: Define line segment, ray, straight line, parallel lines, and perpendicular lines.
- Interactive Activity: Straight Lines Explorer
Geometry of 2D Shapes Subtopics
- Classifying 2D Shapes: Describe, sort, name, and compare triangles (equilateral, isosceles, right-angled) and quadrilaterals based on sides, angles, and properties.
- Similar and Congruent Shapes: Recognize and describe similar and congruent figures by comparing shape and size.
- Solving Problems: Solve geometric problems involving unknown sides and angles using known properties.
- Interactive Activity: 2D Shapes Mastery
Transformation Geometry Subtopics
- Transformations: Perform translations, reflections, and rotations on geometric figures on squared paper.
- Symmetry: Identify and draw lines of symmetry in geometric figures.
- Enlargements and Reductions: Draw enlargements and reductions of geometric figures and compare their shape and size.
- Interactive Activity: Transformation Challenge
Area & Perimeter of 2D Shapes Subtopics
- Perimeter: Calculate the perimeter of regular and irregular polygons using appropriate formulas.
- Area: Use formulas to calculate the area of squares, rectangles, and triangles. Extend to irregular shapes by counting squares on grids.
- Calculations and Problem-Solving: Solve problems involving perimeter and area, converting between SI units (mm², cm², m²).
- Interactive Activity: Area & Perimeter Explorer
Surface Area & Volume of 3D Objects Subtopics
- Surface Area & Volume: Use formulas to calculate surface area, volume, and capacity of cubes and rectangular prisms.
- Interrelationship: Describe the relationship between surface area and volume of these objects.
- Calculations and Problem-Solving: Solve problems involving surface area, volume, and capacity, converting between SI units (mm³, cm³, m³, ml, kl).
- Interactive Activity: 3D Objects Explorer
Data Handling Subtopics
- Collecting Data: Pose questions related to social, economic, and environmental issues. Select appropriate data sources and design questionnaires with yes/no and multiple-choice responses.
- Organizing and Summarizing: Use tally marks, tables, and stem-and-leaf displays to organize data. Group data into intervals and summarize using mean, median, mode, and range.
- Representing Data: Create bar graphs, double bar graphs, histograms, and pie charts using hand or technology tools.
- Interpreting and Analyzing: Critically read and interpret data from various graph forms. Analyze data related to categories, sources, contexts, central tendencies, and scales.
- Reporting Data: Summarize data in written paragraphs, drawing conclusions, making predictions, identifying errors/biases, and choosing appropriate summary statistics.
- Interactive Activity: Data Handling Pro
Solving Problems Subtopics
- Contexts for Problem Solving: Tackle problems involving whole numbers, fractions, percentages, and decimals in financial, measurement, and real-life contexts such as ratios, rates, grouping, and sharing with remainders.
- Comparing Quantities: Compare two or more quantities of the same kind (ratios) and different kinds (rates).
- Interactive Activity: Problem Solving Pro