Algebra I Part 10B Scranton School District Scranton, PA
Algebra I 10B Prerequisite : Successful completion of Algebra I Part 9A Intended Audience: This course is designed for the student who has successfully completed Algebra I Part 9A by the end of the 9 th grade. Algebra I Part 9A 3010 and Algebra I Part 10B/K 3020 Algebra I Part 9A and Algebra I Part 10B/K together create an Algebra I course taken over two years. The students who select Algebra I Part 9A in ninth grade will complete their studies of Algebra I when they complete the Algebra I Part 10B/K course in tenth grade. These Algebra courses are designed for students who may experience difficulty with a one year Algebra I course Topics covered focus on the Pennsylvania Common Core Standards and are parallel to the Algebra I course, presenting all the same major topics but with a different depth, breadth, and pace, thus allowing time for discovering and understanding basic concepts. At the culmination of the Algebra I Part 10B/K, the students will sit for the Keystone Algebra I Exam, a Pennsylvania graduation requirement. After successfully completing the course, students will be allowed to enroll in Geometry 11 or Applied Geometry 11. Algebra I Part 10B Page 1
Year-at-a-glance Subject: Algebra I Part 10B Grade Level: 10 Date Completed: 10-22-14 1 st Quarter Topic Resources CCSS Review: simplifying/evaluating expressions, solving equations, Supplemental Material solving inequalities in 1 variable, graphing linear equations in 2 variables Graphing systems of linear equations Chapter 5 A1.1.2.2.1, A1.1.2.2.2 Algebra I Part 10B Page 2
2 nd Quarter Topic Resources CCSS Graph Systems of linear inequalities in 2 variables Chapter 5 A1.1.3.2.1, A1.1.3.2.2 Rules for exponents and square roots Chapter 6 A1.1.1.3.1 Add and subtract polynomial expressions Chapter 7 A1.1.1.5.1 Algebra I Part 10B Page 3
3 rd Quarter Topic Resources CCSS Multiplying polynomials Chapter 7 A1.1.1.5.1 Factoring Polynomials Chapter 7 A1.1.1.2.1, A1.1.1.52 Simplifying Square Roots Chapter 6 and 10 A1.1.1.3.1 Data Analysis and Probability Chapter 7 A1.2.3.2.2, A1.2.3.2.1, A1.2.3.1.1, A1.2.3.3.1, Algebra I Part 10B Page 4
4 th Quarter Topic Resources CCSS Solving Quadratic Equations using the quadratic formula Chapter 7.4 HSA-APR.B.3 HSA-REI.4b Graphing Quadratic Equations Chapter 8.1-8.3 HSF-IF.C.7a Final Review Algebra I Part 10B Page 5
Review General Topic Academic Standard(s) Essential Knowledge, Skills & Vocabulary Simplifying/evaluating expressions, solving equations, solving inequalities in 1 variable, graphing linear equations in 2 variables Resources & Activities Assessments Suggested Time 2 Systems of Linear Equations Interpret solutions to Linear Systems. A1.1.2.2.1 A1.1.2.2.2 Write and/or solve a system of linear equations, including problem, using graphing, substitution, and/or elimination. Interpret solutions to problems in the context of the problem situation. Limit systems to two linear equations Chapter 5.1-5.4 Engage NY Module 4 Topic D Lesson 24-30 https://www.engageny.org/resource/grad e-8-mathematics Chapter 5.1-5.4 Keystone Unit 3 Lesson 3 20 days 10 days Systems of Linear Inequalities A1.1.3.2.1 Write and/or solve a system of Linear Inequalities using graphing. Limit to two linear inequalities. Chapter 5.6-5.7 1 Algebra I Part 10B Page 6
Interpret solutions to Linear Inequalities A1.1.3.2.2 Interpret solutions to problems in the context of the problem situation. Limit systems to two linear inequalties Chapter 5.6-5.7 Keystone Unit 4 Lesson 3 Exponents, Roots and Absolute Value A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems. Chapter 6.1 Keystone WB Unit 1 Lesson 4 Engage NY Module 1 Topic A Lessons 1-6 https://www.engageny.org/resource/grad e-8-mathematics-module-1-topic-lesson-1 10 days Exponents, Roots and Absolute Value A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems. Keystone WB Unit 1 Lesson 2 *Supplement resources will be needed Simplify expressions involving polynomials A1.1.1.5.1 Add, subtract, and/or multiply polynomial expressions (express answer in simplest form) Nothing larger than a binomial multiplied by a trinomial. Chapter 7.1-7.3 Keystone Unit 2 Lesson 2 Algebra I Part 10B Page 7
GCF and LCM for monomials A1.1.1.2.1 Find the Greatest Common Factor and/or Least Common Multiple for sets of monomials Keystone WB Unit 1 Lesson 3 *Supplement resources will be needed Simplify expressions involving polynomials Simplify expressions involving polynomials A1.1.1.52 A1.1.1.52 Factor Algebraic expressions, including difference of two squares and trinomials. Trinomials limited to the form ax 2 + bx + c, where a is equal to 1 after factoring out all monomials factors. Factor Algebraic expressions, including difference of two squares and trinomials. *including factoring ax 2 +bx+c and factoring by grouping Chap 7.4-7.7 *7.8 See Standard Big ideas Math Algebra I Chapter 7 1 Simplify expressions involving polynomials A1.1.1.5.3 Simplify/reduce a rational algebraic expression. Keystone WB Unit 2 Lesson 5 **Login to site Common Core 2014 Purple infinity BK Sect 11.3 10 days Simplify expressions involving polynomials A1.1.1.1.2 Simplify Square Roots (e.g., 24 = 2 6) Keystone WB Unit 1 Lesson 2 *Supplement resources will be needed Algebra I Part 10B Page 8
Solving Quadratic Equations HSA- APR.B.3 HSA-REI.4b Identify the zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. Chapter 7.4, 7.5, 7.6, 9.2, 9.3, 9.4, 9.5 10 days Solve quadratic equations by factoring as appropriate to the initial form of the equation. Graphing Quadratic Functions HSF-IF.C.7a Graph quadratic functions and show intercepts, maxima, and minima Section 8.1-8.3 Apply Probability to practical situations A1.2.3.3.1 Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and represent as a fraction, decimal or percent. Chapter 11 Use measures of dispersion to describe a set of data A1.2.3.1.1 Calculate and/or interpret the range, quartiles, and interquartile range of data Chapter 11 Algebra I Part 10B Page 9
Use data displays in the problem-solving settings and/or to make predictions A1.2.3.2.1 Estimate or calculate to make predictions based on a circle, line, bar graph, measure of central tendency, or other representation. Chapter 11 Use data displays in the problem-solving settings and/or to make predictions A1.2.3.2.2 Analyze data, make predictions, and/or answer questions based on displayed data (boxand-whisker plots, stemand-leaf plots, scatter plots, measure of central tendency, or other representations) Chapter 11 Final Exams/ Review 10 Days Algebra I Part 10B Page 10