Algebra+1B


 * ~ Half-quarter ||~ Content / Concepts/Skills ||~ EXPLORE/PLAN/AP ||~ Chapter ||~ Assessment ||~ Supporting / Supplementary Materials ||~  ||~ **Essential Questions** ||
 * 1st A || y = x; transformations, slope intercept form; Point-slope form; scatterplots; parallel, perpendicular, horizontal, vertical lines || GRE: 403, 502, 503, 601, 604; PSD: 602; XEI: 403, 501 || 7 || Daily homework; weekly class investigations; 4-5 quizzes; 1-2 tests; 1 major project || TI-83+; graph paper & straight-edges; data ||  || What is meant by the "slope" of a line & how is this used to write equations for the line? How can we recognize a linear equation? What features allow us to easily graph it? What are the kinds of transformations of a line & how are they indicated symbolically? What is special about the slopes of horizontal, vertical, parallel, & perpendicular lines? What is meant by the line of "best fit"? ||
 * 1st B || Inequalities & number line; solving inequalities; absolute value & compound inequalities; 2 variables || BOA: 301, 302; NCP: 401; XEI: 401, 402, 404, 502, 506, 602, 603, 604, 703; GRE: 401, 501, 502, 601, 602 || 12 || Same || walkable number line; graph paper & straight-edges; TI-83+ ||  || What if we replace the equal sign in an equation with an inequality symbol? How can we indicate a half-plane & what is its relation to an inequality? What is meant by the "absolute value" of a number? How can we solve and graph absolute value inequalities? ||
 * 2nd A || Powers; rules of exponents; negative and zero exponents; scientific notation; square roots; Pythagorean Theorem || NCP: 401, 504, 505, 506, 507, 602, 604; PPF: 502, 602 || 8 || Same || TI-83+; geoboards; graph paper & straight-edges ||  || What do we remember about using exponents? How can we evaluate powers with zero or negative exponents? How do calculators and scientists express very large or small numbers using scientific notation? What is meant by the square root of a number? What surprising relationship allows us to find the length of the 3rd side of a right triangle if we know the lengths of the other two sides? ||
 * 2nd B || Polynomials; +-x polynomials; FOIL; special products || NCP: 301, 401, 501, 503, 505, 506, 601, 603, 701; XEI: 303, 402, 405, 504, 601; FUN: 501 || 9 || Same plus Semester Exam || algebra tiles; diamond puzzles; rectangular arrays ||  || What are polynomials and how are they classified? How do we add & subtract polynomials? How does the acronym FOIL help us remember how to multiply binomials? What patterns & shortcuts can help us find certain special products? ||
 * 3rd A || Monomial factors; factoring trinomials; special factors || NCP: 301, 401, 501, 503, 505, 506, 601, 602, 603, 604; XEI: 303, 405, 504, 505, 601 || 10 || Same || algebra tiles; diamond puzzles ||  || How can we determine whether a polynomial is actually a product of two simpler polynomials? How can we find these factors? ||
 * 3rd B || Graph & properties of y=x^2; transformations; finding vertex & standard form; finding zeroes & factored form; completing the square & quadratic formula || NCP: 401, 505, 506, 601, 602, 603, 701; XEI: 404, 405, 503, 504, 505, 601, 602, 605, 701; GRE: 401, 601, 605, 701, 702, 704; PPF: 701; MEA: 402; FUN: 401 || 11 || Same || TI-83+; graph paper & straight-edges; Project--Quadratic Formula song/rap/ video ||  || What are the features & properties of quadratic equations and parabolas? How can considering all parabolas as transformations of the basic parabola y=x 2 ﻿ help us to graph them and write equations for them? How are the zeroes of a parabola related to the factored form of a quadratic equation? What are several different ways to solve a quadratic equation? ||
 * 4th A || Graphs of systems of equations & inequalities; substitution; elimination; parabolas & lines || XEI: 402, 403, 501, 601, 602, 606, 702; GRE: 401, 403, 502, 503, 601, 704 || 13 || Same || graph paper & straight-edges; TI-83+ ||  || What is the solution when two or more equations must be simultaneously true? How can this solution be found? How can we find and represent the solution of a system of inequalities? ||
 * 4th B || Irrational numbers & radicals; Distance formula; simplifying radicals; (solving radical equations; exponential functions; rational expressions; dividing polynomials; combining rational expressions; solving rational equations) || NCP: 505, 601, (508); XEI: 303, 504, 601; GRE: 401, 402, 601, 603; PPF: 602; MEA: 402, 501, 601 || 14, (15 optional) || Same plus Semester Exam || Geoboards; TI-83+ ||  || Are there numbers that are not rational numbers?What shortcuts can allow us to easily combine or simplify expressions containing radicals? How can we use the Pythagorean Theorem to find the distance between any two points on the coordinate plane? (How can we solve equations containing radicals? What if "x" is the exponent or in the denominator of an equation? Is there a way to divide polynomials besides trying to factor them?) ||

Text: Glencoe "Algebra--Concepts & Applications," Volume 2. 2008 Edition. This book begins with Chap 8. It contains only thumbnail reviews of the previous chapters, so student Study Guides, Extra Practice, etc, may need to be provided from Volume 1.

This course is intended for 10th grade students who have completed Algebra 1A; or for 9th grade students who took Pre-Algebra in 8th grade; or for 9th or 10th grade students who previously took, but did not successfully master, Algebra 1.

It is designed to cover the second half of this textbook, starting with a review of graphs of linear equations, & writing equations for them in slope-intercept and point-slope form. In the context of solving inequalities, students will review skills and properties for solving equations & the arithmetic of integers. The study of polynomials will include a further review of properties of operations, with special emphasis on FOIL, and factoring. An intro to quadratics will include the graph and properties of y = x^2; shifts and reflections; use of standard, factored, and polynomial equations; finding the vertex; and finding the zeroes by graphing, factoring, completing the square, and use of the Quadratic Formula. Students will solve systems of equations and inequalities by various methods; use radicals to express roots, especially irrationals, combining and simplifying them; and use the Distance Formula to find lengths of line segments. Optional topics include intro to exponential functions; rational expressions and equations (inverse variation); and dividing polynomials. Note: The following PLAN standards are not covered: BOA; PSD; NCP 201, 302, 502; XEI 201, 202, 301, 302; GRE 201, 301; PPF; MEA 201,301, 302, 401, 502.