Course Curriculum

Math Algebra 1: Unit 1A – Relations and Functions (part 1) 00:10:00
• Check the equality of 2 ordered pairs. • Find the Cartesian product of sets. • Find the relation between sets.
Math Algebra 1 – Unit 1B: Relations and Functions (part 2) 00:15:00
• 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.
Math Algebra 1 – Unit 2A: Equations of Lines and their Graphs (part 1) 00:21:00
• 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.
Math Algebra 1 – Unit 2B: Equations of Lines and their Graphs (part 2) 00:11:00
• Explain slope-intercept form. • Explain intercept-form. • Learn normal form. • Write general equation of a line (part 1).
Math Algebra 1 – Unit 2C: Equations of Lines and their Graphs (part 3) 00:07:00
• Write general equation of a line (part 2). • Find distance of a point from a line. • Find distance between 2 parallel lines.
Math Algebra 1 – Unit 3: Solving Linear Equations in One variable 00:17:00
• Solve Equations. • Apply for problems involving lengths and distances.
Math Algebra 1 – Unit 4A: Solving Linear Systems by Graphing, Substitution and Elimination 00:09:00
• 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.
Math Algebra 1 – Unit 4B: Solving Linear Systems: Cross Multiplication Method 00:06:00
• Explain Cross-multiplication method. • Explain the equation reducible to a pair of linear equations in 2 variables.
Math Algebra 1 – Unit 5: Linear Inequalities and Systems 00:15:00
• 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.
Math Algebra 1 – Unit 6A: Laws of Integral Exponents 00:20:00
• Define exponents. • State the laws of exponents. • Express numbers in the exponential form. • Compare very large & very small numbers.
Math Algebra 1 – Unit 6B: Add, Subtract and Multiply Polynomials-Standard Identities 00:34:00
• 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.
Math Algebra 1 – Unit 6C: Factoring and Division of Polynomials 00:22:00
• 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.
Math Algebra 1 – Unit 6D: Zeroes of Polynomial Functions 00:12:00
• 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.
Math Algebra 1 – Unit 7: Solving Quadratic Equations 00:13:00
• 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.
Math Algebra 1 – Unit 8A: Number Systems, Radicals and Identities 00:18:00
• 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.
Math Algebra 1 – Unit 8B: Square and Square roots 00:21:00
• 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.
Math Algebra 1 – Unit 8C: Cube and Cube roots 00:15:00
• 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.
Math Algebra 1 – Unit 9A: Arithmetic Sequence 00:13:00
• 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.
Math Algebra 1 – Unit 9B: Geometric Sequence 00:07:00
• Define geometric progression (G.P.). • Explain general terms of a G.P. • Explain sum of n term of G.P.
Math Algebra 1 – Unit 10A: Statistics (part 1) 00:07:00
• Define Data. • Define Statistics. • Draw Bar Graph.
Math Algebra 1 – Unit 10B: Statistics (part 2) 00:09:00
• Draw Histogram and Frequency Polygon. • Define Mean, Median and mode. • Calculate Mean, Median and Mode.
Math Algebra 1 – Unit 11A: Set Theory (part 1) 00:11:00
• Learn sets and their representations. • Explain roster and set builder form of sets. • Explain empty set. • Learn finite and infinite sets. • Define equal set.
Math Algebra 1 – Unit 11B: Set Theory (part 2) 00:11:00
• Explain subsets. • Define power set. • Learn universal set. • Explain Venn Diagrams. • Write operations on set.
Math Algebra 1 – Unit 11C: Set Theory (part 3) 00:11:00
• 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.

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