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Mathematics Foundations — Grades 7–9 · KhSearch

Mathematics Foundations — Grades 7–9

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Mathematics Foundations — Grades 7–9

Grade 7

Number, Fractions, and Proportion

Integer Signs and Order of Operations
Adding, Multiplying, and Dividing Fractions
Ratios and Direct Proportion
Percentages and Discounts

Angles, Shapes, and Data

Triangle and Straight-Line Angles
Perimeter and Area of Rectangles and Triangles
Circle Circumference and Area
Mean and Range of a Data Set

Grade 8

Algebra and Linear Relationships

Index Laws and Scientific Notation
Distributive Law and Algebraic Identities
Solving Linear Equations
Straight-Line Graphs

Geometry and Chance

Pythagoras in Right Triangles
Areas of Parallelograms and Trapeziums
Volumes of Prisms and Cylinders
Probability from Equally Likely Outcomes

Grade 9

Numbers, Proportion, and Equations

Square Roots and Radical Rules
Rational Expressions and Restrictions
Two Simultaneous Linear Equations
Percentage Change and Successive Changes

Geometry, Similarity, and Statistics

Interior and Exterior Angles of Polygons
Similar Triangles and Scale Factors
Volume and Surface Area of Cones and Spheres
Frequency Tables and Weighted Means

Documentation/Mathematics Foundations — Grades 7–9

Mathematics Foundations — Grades 7–9

Grade 7

Number, Fractions, and Proportion

Integer Signs and Order of Operations
Adding, Multiplying, and Dividing Fractions
Ratios and Direct Proportion
Percentages and Discounts

Angles, Shapes, and Data

Triangle and Straight-Line Angles
Perimeter and Area of Rectangles and Triangles
Circle Circumference and Area
Mean and Range of a Data Set

Grade 8

Algebra and Linear Relationships

Index Laws and Scientific Notation
Distributive Law and Algebraic Identities
Solving Linear Equations
Straight-Line Graphs

Geometry and Chance

Pythagoras in Right Triangles
Areas of Parallelograms and Trapeziums
Volumes of Prisms and Cylinders
Probability from Equally Likely Outcomes

Grade 9

Numbers, Proportion, and Equations

Square Roots and Radical Rules
Rational Expressions and Restrictions
Two Simultaneous Linear Equations
Percentage Change and Successive Changes

Geometry, Similarity, and Statistics

Interior and Exterior Angles of Polygons
Similar Triangles and Scale Factors
Volume and Surface Area of Cones and Spheres
Frequency Tables and Weighted Means

Mathematics

Mathematics Foundations — Grades 7–9

Original bilingual formula companion for secondary foundations, Grades 7–9. Includes 24 lessons with symbols, units, conditions, worked calculations, and practice solutions. Grade placement is a draft review crosswalk, not a complete or officially approved current syllabus.

English · beginner · 24 lessons

Start learning →

Grade 7 · Number, Fractions, and Proportion

Integer Signs and Order of Operations →

Calculate with negative numbers and apply operation order.

Adding, Multiplying, and Dividing Fractions →

Use common denominators and reciprocal division.

Ratios and Direct Proportion →

Scale equivalent ratios and find a missing proportional value.

Percentages and Discounts →

Find a percentage of an amount and a discounted total.

Grade 7 · Angles, Shapes, and Data

Triangle and Straight-Line Angles →

Find an unknown angle using angle sums.

Perimeter and Area of Rectangles and Triangles →

Distinguish boundary length from covered surface.

Circle Circumference and Area →

Use radius and diameter correctly in circle formulas.

Mean and Range of a Data Set →

Calculate an average and a simple measure of spread.

Grade 8 · Algebra and Linear Relationships

Index Laws and Scientific Notation →

Combine powers and express large or small numbers clearly.

Distributive Law and Algebraic Identities →

Expand brackets and recognise standard products.

Solving Linear Equations →

Keep both sides balanced while isolating an unknown.

Straight-Line Graphs →

Interpret a line’s gradient and vertical intercept.

Grade 8 · Geometry and Chance

Pythagoras in Right Triangles →

Find a missing side only when a triangle has a right angle.

Areas of Parallelograms and Trapeziums →

Use perpendicular height with parallel-sided shapes.

Volumes of Prisms and Cylinders →

Calculate volume from a constant cross-sectional area.

Probability from Equally Likely Outcomes →

Count a well-defined sample space and calculate simple probability.

Grade 9 · Numbers, Proportion, and Equations

Square Roots and Radical Rules →

Simplify square roots with the correct real-number restrictions.

Rational Expressions and Restrictions →

Simplify algebraic fractions without losing excluded values.

Two Simultaneous Linear Equations →

Find a pair that satisfies two equations at once.

Percentage Change and Successive Changes →

Compare a change with its original base.

Grade 9 · Geometry, Similarity, and Statistics

Interior and Exterior Angles of Polygons →

Calculate angle sums and use regularity only when justified.

Similar Triangles and Scale Factors →

Scale corresponding lengths, areas, and volumes appropriately.

Volume and Surface Area of Cones and Spheres →

Choose the correct shape and distinguish curved from total surface area.

Frequency Tables and Weighted Means →

Calculate a mean when values have different frequencies.