Mathematics Resource Hub
Welcome, learners and educators! Designed to match Kenya's dynamic JSS and Senior Secondary mathematics tracks, explore teacher-validated notes, practice challenges, and critical exam strategies.
Dominic Mutua Mutuku
TSC Registered Educator
📍 Nairobi CBD, Kenya
✉️ dominicmutua96@mwalimu.tsc.go.ke
📞 +254 715 077762
How to explore:
Use the tab selector below to quickly swap between Grade Levels. Each tab has curriculum-aligned topics, syllabus checklists, and real-time interactive draft drills!
JSS Level (Grade 6–7): Number Sense, Algebra Starter & Geometry
Core foundations for building robust operations, metric patterns, measurements, and shapes.
Integers, Decimals & Fractions (Core)
- ✓ Integers: Operations, ordering on a number line, interpretation of negatives.
- ✓ Fractions: Simplifying, equivalent conversions, and addition/subtraction.
- ✓ Decimals: Place values, rounding, converting cleanly to fractions.
- ✓ Percentages: Solving part-of-100 values & simple word problems.
Practice Prompt & Drill
"Compute using correct BODMAS sequence: $15 + 4 \times (12 - 7) \div 2$"
1. Parantheses first: $12 - 7 = 5$
2. Multiplication/Division left-to-right: $4 \times 5 = 20$, then $20 \div 2 = 10$
3. Addition last: $15 + 10 = \mathbf{25}$
Ratio, Rate & Proportion
- ✓ Ratio: Simplifying ratios; sharing total quantities in given ratios.
- ✓ Rate: Understanding units like $km/h$, $m/s$, and real-life resource sharing.
- ✓ Proportion: Direct proportion problems and progressive variable analysis.
Practice Prompt & Drill
"Divide KES 4,500 in the ratio $2:3$."
1. Find total parts: $2 + 3 = 5\text{ parts}$
2. Calculate value of one part: $4,500 \div 5 = 900\text{ KES}$
3. Distribute shares: $2 \times 900 = \mathbf{1,800\text{ KES}}$ and $3 \times 900 = \mathbf{2,700\text{ KES}}$
Algebra Starter: Expressions & Equations
- ✓ Algebraic expressions: Grouping like terms and expanding single bracket expressions.
- ✓ Substitution: Correctly evaluating algebraic statements given specific values.
- ✓ Equations: Solving simple single-variable linear balance equations.
Practice Prompt & Drill
"Solve for $x$: $3x - 7 = 14$"
1. Add $7$ to both sides: $3x = 14 + 7 \implies 3x = 21$
2. Divide both sides by $3$: $x = 21 \div 3 \implies \mathbf{x = 7}$
Geometry & Mensuration: Lines, Angles & Shapes
- ✓ Angles: Properties of triangles and basic parallel line angle configurations.
- ✓ Mensuration: Accurately calculating area & perimeter of rectangles and triangles.
- ✓ Circles: Intro to radius, diameter, and simple properties.
Practice Prompt & Drill
"Calculate the area of a triangle with a base of $12\text{ cm}$ and a vertical height of $8\text{ cm}$."
1. Formula: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$
2. Substitute values: $\text{Area} = \frac{1}{2} \times 12 \times 8$
3. Calculate: $6 \times 8 = \mathbf{48\text{ cm}^2}$