Colvin Algebra 1B

			Algebra Ib		Revised 1/8//07
Week	Chapter	Sections	Objective	COS	AHSGE
1			Review
	7	7-1	Solve systems by graphing. Determine if there is 0, 1, or infinitely many solution.	8	II.3; IV.1
		7-2	Solve linear systems by substitution. Apply this to real world problems.	8	II.3; VII.8
2		7-3	Solve linear systems by using elimination by adding or subtracting. Apply this so real world problems.	8	II.3
		7-4	Solve linear systems by using elimination by multiplication. Apply this to real world problems.	8	II.3
		7-5	Solve systems of inequalities by graphing. Solve real-world problems involving systems of inequalities.	8	II.3, VII.8
3	8	8-1	Multiply monomials. Simplify expressions involving powers of monomials.	1,5,11	I.1-4; II.3, IV.1; VII.8
		8-2	Simplify expressions involving the quotient of monomials. Simplify expressions containing negative exponents	1,5,11	I.1-4; II.3, IV.1; VII.8
		8-3	Express numbers in scientific notation and standard notation. Find products and quotients of numbers expressed in scientific notation.	optional
4		8-4	Find the degree of a polynomial. Arrange the terms of a polynomial in ascending or descending order.	5,11	I.2,3
		8-5	Adding and subtracting polynomials.	5,11	I.2,3
		8-6	Find the product of a monomial and a polynomial. Solve equations involving polynomials.	5,11	I.2,3
5		8-7	Multiply two binomials by using the FOIL method or the Distributive Property.	5,11	I.2,3,4
		8-8	Find squares of sums and differences. Find the product of a sum and a difference.	5, 11	I.2,3,4
	9	9-1	Find prime factorizations of integers and monomials. Find the greatest common factors of integers and monomials.	11	I.2,3,4
6		9-2	Factor polynomials by using the Distributive property. Solve quadratic equations of the form ax² +	6, 9, 11	I.2,3,4; II.2,3
		9-3	Factor and solve trinomials of the form x² + + c= 0	6, 9, 11	I.2,3,4; II.2,3
		9-4	Factor and solve trinomials of the form ax² + + c = 0	6, 9, 11	I.2,3,4; II.2,3
7		9-5	Factor and solve binomials that are the differences of squares.	6, 9, 11	I.2,3,4; II.2,3
		9-6	Factor and solve perfect square trinomials.	6, 11	I.2,3,4; II.2,3
8	10	10-1	Graph quadratic functions. Find the equation of the axis of symmetry and the coordinated of the vertex of a parabola.	4, 11	II.2; V.2,4
		10-2	Solve and estimate quadratic equations by graphing.	4, 9, 11	II.2; V.2,4
		10-3	Solve and estimate quadratic equations by finding the square root or completing the square.	9, 11	II.2; V.2,4
9		10-4	Solve quadratic equations by using the Quadratic Formula. Use the discriminant to determine the number of solutions for a quadratic equation.	9, 11	II.2
		10-5	Graph exponential functions and identify data that displays that behavior.	optional
		10-6	Solve problems involving exponential growth and decay.	optional
10		10-7	Recognize the extend geometric sequences. Find geometric means.	optional
	11	11-1	Simplify radical expressions using the Product Property of Square Roots or the Quotient Property or Square Roots.	1, 11
		11-2	Add, subtract, and multiply radical expressions.	1, 11
11		11-3	Solve radical equations including extraneous solutions.	7, 11
		11-4	Solve problems by using the Pythagorean Theorem. Determine whether a triangle is a right triangle.	7, 11	VII.2
		11-5	Find the distanced between two points on the coordinate plane. Find a point that is a given distance from a second point in a plane.	10	IV.2
			Algebra Ib		Revised 1/08/07
Week	Chapter	Sections	Objective	COS	AHSGE
12		11-6	Determine whether two triangles are similar. Find the unknown measures of sides of two similar triangles.	optional
		11-7	Define the sine, cosine, and tangent ratios. Use trigonometric ratios to solve right triangles.	optional
	12	12-1	Graph and solve problems with inverse variations.	7	IV.4; VII.7
13		12-2	Identify values excluded from the domain of a rational expression. Simplify rational expressions.	11
		12-3	Multiply rational expressions. Use dimensional analysis with multiplication.	optional
		12-4	Divide rational expressions. Use dimensional analysis with division.	11
14		12-5	Divide a polynomial by a monomial or binomial.	5, 11
		12-6	Add or subtract rational expressions with like denominators.	11
		12-7	Add or subtract rational expressions with unlike denominators.	optional
15		12-8	Simplify mixed expressions or complex fractions.	optional
		12-9	Solve rational equations. Eliminate extraneous solutions.	optional
	13	13-1	Identify various sampling techniques and recognize a biased sample.	12, 13	VI.1; VII.5
16		13-2	Organize data in matrices. Solve problems by adding or subtracting matrices or by multiplying by a scalar.	optional
		13-3	Interpret data displayed in histograms. Display data in histograms.	12	VII.5, 6
		13-4	Find the range of a set of data. Find the quartiles and interquartile range of a set of data.	12	III.2, VII.5
17		13-5	Organize data in box-and-whisker plots or parallel box-and-whisker plots.	12	VII.5,6
	14	14-1	Count outcomes using a tree diagram or the Fundamental Counting Principle.	optional
		14-2	Determine probabilities using permutations or combinations.	optional
18		14-3	Find the probability of two independent events or dependent events. Find the probability of two mutually exclusive or inclusive events.	15	VII.5,6
		14-4	Use random variables to compute probability. Use probability distributions to solve real-world problems.	15	VII.5,6
		14-5	Use theoretical and experimental probability to represent and solve problems involving uncertainty. Perform probability simulations to model real-world situations involving uncertainty.	15	VII.5,6
19			Final Review