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Term 1
Unit 1 Numbers and operations on them: powers of powers and exponential equations; Unit 2 Algebra: the quadratic function, real zeros of polynomial functions, rational algebraic functions (domain, common domain, equal functions) and operations on rational algebraic fractions; Unit 3 Geometry: similarity of polygons and of triangles, dilation, trigonometric ratios of an acute angle and of the special angles, slopes of parallel and perpendicular lines, equation of the straight line; Unit 4 Statistics: measures of dispersion (range, interquartile range, standard deviation)
1
Powers of powers and exponential equations
Powers of powers and exponential equations: the laws of exponents for real bases and integer exponents, and equations of the form a^x = b
2
The quadratic function
The quadratic function: standard form, vertex and axis of symmetry, vertex form, graph and maximum or minimum value
3
Zeros of polynomial functions
Real zeros of polynomial functions: degree, zeros from an equation and from a graph, finding an unknown coefficient
4
Rational algebraic functions
Rational algebraic functions: domain, simplifying, zeros and solving f(x) = k
5
Common domain and equal rational functions
Common domain and equivalent rational algebraic functions
6
Operations on rational algebraic fractions
Operations on rational algebraic fractions: add, subtract, multiply, divide, inverses and properties
7
Similarity of polygons
Similarity of polygons: conditions, similarity ratio, special shapes and perimeters
8
Similarity of triangles
Similarity of triangles: the AA, SSS and SAS cases, right triangles and real heights
9
Dilation
Dilation: centre and factor, enlargement and reduction, images of triangles and of points in the coordinate plane
10
Trigonometric ratios of an acute angle
Trigonometric ratios of an acute angle: sine, cosine, tangent, complementary angles and side lengths
11
Exact and calculator ratios
Trigonometric ratios of special angles: 30°, 45°, 60°, the calculator, finding the angle and heights
12
Slope of a straight line
Slope of a straight line: inclination angle, parallel lines, perpendicular lines and collinear points
13
The equation of a straight line
The equation of a straight line: slope and y-intercept, point and slope, two points, standard form and applications
14
Dispersion and standard deviation
Measures of dispersion: range, interquartile range and standard deviation for a list, a frequency table and a table with class intervals
15
Term 1 review
Term 1 review
☰ Year plan · Mathematics
Egypt
›
Preparatory 3
›
Mathematics
›
Week 1
Powers of powers and exponential equations
Week 1 · Powers of powers and exponential equations: the laws of exponents for real bases and integer exponents, and equations of the form a^x = b · 3 lessons
Lesson 1
Lesson 2
Lesson 3
Quiz
8
Homework
5
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Week 1 ·
Exponential equations: same base, bases made equal, checking, and word problems
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Week 1 · Homework
