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Math Algebra 1: Unit 1A – Relations and Functions (part 1) |
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00:10:00 |
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• Check the equality of 2 ordered pairs.
• Find the Cartesian product of sets.
• Find the relation between sets.
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Math Algebra 1 – Unit 1B: Relations and Functions (part 2) |
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00:15:00 |
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• Check the equality of 2 ordered pairs.
• Find the Cartesian product of sets.
• Find the relation between sets.
• Find the functions from the given sets. |
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Math Algebra 1 – Unit 2A: Equations of Lines and their Graphs (part 1) |
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00:21:00 |
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• Understand the basics of coordinate geometry.
• Explain slope of a line.
• Explain angle between 2 lines.
• Understand collinearity of 3 points.
• Understand horizontal and vertical lines.
• Write point-slope and 2-point form. |
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Math Algebra 1 – Unit 2B: Equations of Lines and their Graphs (part 2) |
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00:11:00 |
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• Explain slope-intercept form.
• Explain intercept-form.
• Learn normal form.
• Write general equation of a line (part 1). |
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Math Algebra 1 – Unit 2C: Equations of Lines and their Graphs (part 3) |
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00:07:00 |
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• Write general equation of a line (part 2).
• Find distance of a point from a line.
• Find distance between 2 parallel lines. |
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Math Algebra 1 – Unit 3: Solving Linear Equations in One variable |
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00:17:00 |
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• Solve Equations.
• Apply for problems involving lengths and distances. |
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Math Algebra 1 – Unit 4A: Solving Linear Systems by Graphing, Substitution and Elimination |
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00:09:00 |
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• Understand the pair of linear equations in 2 variables.
• Explain the graphical method.
• Write the algebraic method of solving a pair of linear equations.
• Explain Substitution method.
• Explain Elimination method. |
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Math Algebra 1 – Unit 4B: Solving Linear Systems: Cross Multiplication Method |
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00:06:00 |
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• Explain Cross-multiplication method.
• Explain the equation reducible to a pair of linear equations in 2 variables. |
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Math Algebra 1 – Unit 5: Linear Inequalities and Systems |
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00:15:00 |
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• State the linear inequality.
• Find the inequalities.
• Find the solution of linear inequalities.
• Find the solution of linear inequalities in 2 variables.
• Represent the linear inequalities graphically. |
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Math Algebra 1 – Unit 6A: Laws of Integral Exponents |
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00:20:00 |
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• Define exponents.
• State the laws of exponents.
• Express numbers in the exponential form.
• Compare very large & very small numbers. |
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Math Algebra 1 – Unit 6B: Add, Subtract and Multiply Polynomials-Standard Identities |
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00:34:00 |
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• Identify the algebraic expressions.
• Solve Degree of a Polynomial.
• Solve Monomials, Binomials and Polynomials.
• Identify like and unlike terms.
• Solve addition, subtraction, and multiplication of the Algebraic
Expressions.
• Describe Identity and Standard Identities. |
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Math Algebra 1 – Unit 6C: Factoring and Division of Polynomials |
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00:22:00 |
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• Complete the factor of an algebraic expression.
• Find the factors using method of common factors.
• Determine the factors by the method of regrouping.
• Deduce the factors of an algebraic expression using the identities.
• Evaluate division of a polynomial by another polynomial.
• Identify errors while evaluating an algebraic expression. |
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Math Algebra 1 – Unit 6D: Zeroes of Polynomial Functions |
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00:12:00 |
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• Explain geometrical meaning of the zeroes of a polynomial.
• Explain 3 types of zeros of polynomials.
• Learn relationship between zeroes and coefficients of a polynomial.
• Explain division algorithm for polynomials. |
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Math Algebra 1 – Unit 7: Solving Quadratic Equations |
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00:13:00 |
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• Explain quadratic equations.
• Find solution of a quadratic equation by factorization.
• Find solution of a quadratic equation by completing the square.
• Explain nature of roots. |
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Math Algebra 1 – Unit 8A: Number Systems, Radicals and Identities |
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00:18:00 |
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• Define integers, rational numbers, and irrational numbers.
• Locate irrational numbers on the number line.
• Find the decimal expansion of real numbers.
• Represent real numbers on the number line.
• Add, subtract, multiply and divide the real numbers.
• State Laws of Exponents for real numbers. |
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Math Algebra 1 – Unit 8B: Square and Square roots |
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00:21:00 |
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• Calculate square of a number.
• Define square root of a perfect square.
• Learn to estimate the square root of a given number by prime factorization and long division method. |
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Math Algebra 1 – Unit 8C: Cube and Cube roots |
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00:15:00 |
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• Perfect Cubes.
• Cubes and their Prime Factors.
• Properties of Cubes of Numbers (Cubes of Even and Odd Numbers).
• Cube of a negative integer.
• Cube root of a cube number.
• Cube root of a Perfect Cube by Prime Factorization.
• Cube root of a Negative Number.
• Cube root of Product of Integers.
• Cube root of a Rational number. |
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Math Algebra 1 – Unit 9A: Arithmetic Sequence |
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00:13:00 |
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• Explain Arithmetic Progression.
• Define term and common difference.
• Write the general form of AP.
• Find the nth term of given AP.
• Find the sum of first n terms of the given AP.
• Solve examples related to AP. |
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Math Algebra 1 – Unit 9B: Geometric Sequence |
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00:07:00 |
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• Define geometric progression (G.P.).
• Explain general terms of a G.P.
• Explain sum of n term of G.P. |
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Math Algebra 1 – Unit 10A: Statistics (part 1) |
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00:07:00 |
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• Define Data.
• Define Statistics.
• Draw Bar Graph. |
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Math Algebra 1 – Unit 10B: Statistics (part 2) |
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00:09:00 |
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• Draw Histogram and Frequency Polygon.
• Define Mean, Median and mode.
• Calculate Mean, Median and Mode. |
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Math Algebra 1 – Unit 11A: Set Theory (part 1) |
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00:11:00 |
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• Learn sets and their representations.
• Explain roster and set builder form of sets.
• Explain empty set.
• Learn finite and infinite sets.
• Define equal set. |
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Math Algebra 1 – Unit 11B: Set Theory (part 2) |
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00:11:00 |
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• Explain subsets.
• Define power set.
• Learn universal set.
• Explain Venn Diagrams.
• Write operations on set. |
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Math Algebra 1 – Unit 11C: Set Theory (part 3) |
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00:11:00 |
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• Learn operations on sets (intersection and difference).
• Define disjoint sets.
• Explain complement of a set.
• Write practical problems on union and intersection of 2 sets. |
