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The following is the list of topics covered under Grade 7. However it can be customized according to each student’s requirements.
Number sense and operation
- Integers, positive rational numbers
- Fractions, decimals, whole numbers, and percents
- Squares and square roots
- Scientific notation, radicals, absolute value, irrational/real numbers
- Primes, factors, multiples, number sequences
- Rates and ratios
- Positive/negative numbers - inverse relationships
- Problem involving percents
- Numerical expressions
- Order of operations and exponents
Algebra
- Simplifying numerical expressions
- Operations on monomials
- Arithmetic sequences
- Linear/non-linear functions, equations, inequalities
- Multistep problems
Geometry and spatial reasoning
- Complementary or supplementary angles
- Properties of triangles and quadrilaterals
- Properties of three-dimensional figures, including pyramids, cones, prisms, and cylinders
- Geometric concepts
- Tessellations
- Rectangular coordinate system
- Reflections/translations on a coordinate plane
- Similarity
- Pythagorean theorem
- Congruence
Measurement
- Length (including perimeter and circumference)
- Area of polygons and other shapes
- Volume of prisms and cylinders
- Relative error and magnitude
Probability and statistics
- Representations of data
- Sample spaces for simple or composite experiments
- Probability of independent events
- Mean, median, mode, and range
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