PLEASANT VALLEY SCHOOL DISTRICT
PLEASANT VALLEY SCHOOL DISTRICT
PLANNED COURSE CURRICULUM GUIDE
Keystone Algebra Enhancement
Module 1 & 2
Grade 10-12
I. COURSE DESCRIPTION AND INTENT:
This course is a requirement for graduation for those students who have scored basic or below basic on the Algebra I Keystone exam. The course is designed to reinforce and enhance students Algebra I skills in preparation for the Algebra I Keystone retake and/or 12th grade proficiency verification. If students in 12th are not yet proficient they must successfully complete a 9 week enhancement course to graduate. This course is a Pass or Fail grading. This course may also be taken by students as an elective for reinforcing and enhancing students Algebra I skills.
II. INSTRUCTIONAL TIME:
Class Periods: 6 per 6-day cycle
Length of Class Periods (minutes): 56
Length of Course: 45 days
Unit of Credit: 0.25
Updated: June 2014
|COURSE: Keystone Algebra Prep (M1) |GRADE(S): 10-12 |
|STRAND: 2.1 Numbers & Operations |TIME FRAME: 45 days |
|PA ACADEMIC STANDARDS |
| |
|CC.2.1.HS.F.1, CC.2.1.HS.F.2, CC.2.1.HS.F.3, CC.2.1.HS.F.4, CC.2.1.HS.F.5, CC.2.1.HS.F.6, CC.2.1.HS.F.7 |
|ASSESSMENT ANCHORS |
| |
|A1.1, A1.2, A2.1, A2.2 |
|RESOURCES |
| |
|Keystone Finish Line by Continental Press |
|Teacher Created Worksheets |
|Kuta Software Website |
|Released Keystone Exams |
|OBJECTIVES |
| |
|The learner will perform various operations using the number system. |
|ESSENTIAL CONTENT |
| |
|Explore the properties of various sets of numbers, such as Reals, Rationals, etc. |
|Practice and apply the formal rules of addition, subtraction, multiplication, and division of signed numbers. |
|Apply the rules of signed numbers to algebraic expressions. |
|Use the distributive property to change products to sums and to factor binomial algebraic expressions. |
|Classify numbers as counting, whole, integers, rational, irrational, and real. |
|Utilize the commutative and associative properties of addition and multiplication. |
|Understand the identity and inverse properties of addition and multiplication. |
|Utilize the commutative and associative properties of addition and multiplication. |
|Evaluate formulas. |
|Write a ratio in lowest terms. |
|Solve a proportion with one unknown term. |
|Solve a complex proportion. |
|Solve word problems using proportions. |
|Model functions using rules, tables and graphs. |
|Write a function rule given a table or real-world situation. |
|Solve quadratic equations involving perfect square expressions. |
|Solve quadratic equations using the quadratic equation. |
|Solve quadratic equations by factoring. |
|Solve quadratic equations by choosing and using the most appropriate method.. |
|Write a number as a product of prime numbers. |
|Use prime factorization to find the square root of a number. |
|Simplify the product of two or more radicals. |
|Write a radical as the product of two or more radicals. |
|Simplify radical expressions. |
|Add or subtract like radicals. |
|Simplify a quotient of two radicals. |
|INSTRUCTIONAL STRATEGIES |
| |
|Use a number line to emphasize signed numbers. |
|Play Jeopardy to review concepts |
|Use write boards to promote comprehension |
|Group activities |
|Think-Pair-Share |
|ASSESSMENTS |
| |
|Teacher designed tests and quizzes |
|Activities, which demonstrate knowledge of the concepts taught. |
|Worksheets designed to demonstrate knowledge of the concepts taught. |
|Portfolios. |
|Keystone sample questions. |
|CORRECTIVES/EXTENSIONS |
| |
|Correctives |
|Use crossword puzzles to reinforce or reteach basic terminology. |
|Students work in pairs (cooperative learning structure) to review content. |
|Students are encouraged to use math-tutoring lab. |
|Use reteaching activities and worksheets found in supplemental textbook materials. |
| |
|Extensions |
|Student research projects on applications of the concepts presented in the unit to real life examples. |
|Class projects such as display cases, magazines, or posters. |
|Students will create review games for the class. |
|Math journal and reflection papers. |
|Use of graphing calculator activities and explorations. |
|Internet resources such as web quests. |
|COURSE: Keystone Algebra Prep (M1) |GRADE(S): 10-12 |
|STRAND: 2.2 Algebraic Concepts |TIME FRAME: 45 days |
|2.2A Operations & Algebraic Thinking | |
|PA ACADEMIC STANDARDS |
| |
|CC.2.2.HS.D.1, CC.2.2.HS.D.2, CC.2.2.HS.D.3, CC.2.2.HS.D.4, CC.2.2.HS.D.5, CC.2.2.HS.D.6, CC.2.2.HS.D.7, CC.2.2.HS.D.8, |
|CC.2.2.HS.D.9, CC.2.2.HS.D.10 |
|CC.2.2.HS.C.1, CC.2.2.HS.C.2, CC.2.2.HS.C.3, CC.2.2.HS.C.4, CC.2.2.HS.C.5, CC.2.2.HS.C.6 |
|ASSESSMENT ANCHORS |
| |
|A1.1, A1.2, A2.1, A2.2 |
|RESOURCES |
| |
|Keystone Finish Line by Continental Press |
|Teacher Created Worksheets |
|Kuta Software Website |
|Released Keystone Exams |
|OBJECTIVES |
| |
|The learner will apply operations to algebraic thinking and problem solving. |
|ESSENTIAL CONTENT |
| |
|Using Variables to model relationships with variables, equations and formulas. |
|Explore the properties of various sets of numbers, such as Reals, Rationals, etc. |
|Practice and apply the formal rules of addition, subtraction, multiplication, and division of signed numbers. |
|Apply the rules of signed numbers to algebraic expressions. |
|Use the distributive property to change products to sums and to factor binomial algebraic expressions. |
|Apply the order of operations to simplify expressions of all real numbers. |
|Graph a point in the coordinate plane. |
|Label the x- and y- axis, origin, and quadrants in a coordinate plane. |
|Graphing on Coordinate plane |
|Write a function rule and understand relationships of quantities in a function. |
|Write a product of powers as one power. |
|Write a quotient of powers as one power. |
|Simplify an expression involving one or more power with zero as an exponent. |
|Simplify powers involving negative exponents. |
|Simplify the power of a productive quotient. |
|Simplify a power of a power. |
|INSTRUCTIONAL STRATEGIES |
|Use a number line to emphasize signed numbers. |
|Play Jeopardy to review concepts |
|Use write boards to promote comprehension |
|Group activities |
|Think-Pair-Share |
|ASSESSMENTS |
| |
|Teacher designed tests and quizzes |
|Activities, which demonstrate knowledge of the concepts taught. |
|Worksheets designed to demonstrate knowledge of the concepts taught. |
|Portfolios. |
|Keystone sample questions. |
|CORRECTIVES/EXTENSIONS |
| |
|Correctives |
|Use crossword puzzles to reinforce or reteach basic terminology. |
|Students work in pairs (cooperative learning structure) to review content. |
|Students are encouraged to use math-tutoring lab. |
|Use reteaching activities and worksheets found in supplemental textbook materials. |
|Extensions |
|Student research projects on applications of the concepts presented in the unit to real life examples. |
|Class projects such as display cases, magazines, or posters. |
|Students will create review games for the class. |
|Math journal and reflection papers. |
|Use of graphing calculator activities and explorations. |
|Internet resources such as web quests. |
|COURSE: Keystone Algebra Prep (M1) |GRADE(S): 10-12 |
|STRAND: 2.2 Algebraic Concepts |TIME FRAME: 45 Days |
|2.2B Expressions and Equations | |
|PA ACADEMIC STANDARDS |
| |
|CC.2.2.HS.D.1, CC.2.2.HS.D.2, CC.2.2.HS.D.3, CC.2.2.HS.D.4, CC.2.2.HS.D.5, CC.2.2.HS.D.6, CC.2.2.HS.D.7, CC.2.2.HS.D.8, |
|CC.2.2.HS.D.9, CC.2.2.HS.D.10 |
|CC.2.2.HS.C.1, CC.2.2.HS.C.2, CC.2.2.HS.C.3, CC.2.2.HS.C.4, CC.2.2.HS.C.5, CC.2.2.HS.C.6 |
|ASSESSMENT ANCHORS |
| |
|A1.1, A1.2, A2.1, A2.2 |
|RESOURCES |
|Keystone Finish Line by Continental Press |
|Teacher Created Worksheets |
|Kuta Software Website |
|Released Keystone Exams |
|OBJECTIVES |
| |
|The learner will evaluate expressions and solve equations with real numbers and variables. |
|ESSENTIAL CONTENT |
| |
|Using Variables to model relationships with variables, equations and formulas. |
|Explore the properties of various sets of numbers, such as Reals, Rationals, etc. |
|Practice and apply the formal rules of addition, subtraction, multiplication, and division of signed numbers. |
|Apply the rules of signed numbers to algebraic expressions. |
|Use the distributive property to change products to sums and to factor binomial algebraic expressions. |
|Apply the order of operations to simplify expressions of all real numbers. |
|Graph a point in the coordinate plane. |
|Label the x- and y- axis, origin, and quadrants in a coordinate plane. |
|Graphing on Coordinate plane |
|INSTRUCTIONAL STRATEGIES |
|Use a number line to emphasize signed numbers. |
|Play Jeopardy to review concepts |
|Use write boards to promote comprehension |
|Group activities |
|Think-Pair-Share |
|ASSESSMENTS |
| |
|Teacher designed tests and quizzes |
|Activities, which demonstrate knowledge of the concepts taught. |
|Worksheets designed to demonstrate knowledge of the concepts taught. |
|Portfolios. |
|Keystone sample questions. |
|CORRECTIVES/EXTENSIONS |
| |
|Correctives |
|Use crossword puzzles to reinforce or reteach basic terminology. |
|Students work in pairs (cooperative learning structure) to review content. |
|Students are encouraged to use math-tutoring lab. |
|Use reteaching activities and worksheets found in supplemental textbook materials. |
| |
|Extensions |
|Student research projects on applications of the concepts presented in the unit to real life examples. |
|Class projects such as display cases, magazines, or posters. |
|Students will create review games for the class. |
|Math journal and reflection papers. |
|Use of graphing calculator activities and explorations. |
|Internet resources such as web quests. |
|COURSE: Keystone Algebra Prep (M2) |GRADE(S): 10-12 |
|STRAND: 2.2 Algebraic Concepts |TIME FRAME: 45 days |
|2.2C Functions | |
|PA ACADEMIC STANDARDS |
| |
|CC.2.2.HS.D.1, CC.2.2.HS.D.2, CC.2.2.HS.D.3, CC.2.2.HS.D.4, CC.2.2.HS.D.5, CC.2.2.HS.D.6, CC.2.2.HS.D.7, CC.2.2.HS.D.8, |
|CC.2.2.HS.D.9, CC.2.2.HS.D.10 |
|CC.2.2.HS.C.1, CC.2.2.HS.C.2, CC.2.2.HS.C.3, CC.2.2.HS.C.4, CC.2.2.HS.C.5, CC.2.2.HS.C.6 |
|ASSESSMENT ANCHORS |
| |
|A1.1, A1.2, A2.1, A2.2 |
|RESOURCES |
|Keystone Finish Line by Continental Press |
|Teacher Created Worksheets |
|Kuta Software Website |
|Released Keystone Exams |
|OBJECTIVES |
| |
|The learner will work with functions. |
|ESSENTIAL CONTENT |
| |
|Describe and graph a relation. |
|Indicate whether a given relation is a function. |
|Use the vertical line test to determine whether a given graph is a function. |
|State the domain and range of a function. |
|Graph a linear function given the domain. |
|INSTRUCTIONAL STRATEGIES |
|Use a number line to emphasize signed numbers. |
|Play Jeopardy to review concepts |
|Use write boards to promote comprehension |
|Group activities |
|Think-Pair-Share |
|ASSESSMENTS |
| |
|Teacher designed tests and quizzes |
|Activities, which demonstrate knowledge of the concepts taught. |
|Worksheets designed to demonstrate knowledge of the concepts taught. |
|Portfolios. |
|Keystone sample questions. |
|CORRECTIVES/EXTENSIONS |
| |
|Correctives |
|Use crossword puzzles to reinforce or reteach basic terminology. |
|Students work in pairs (cooperative learning structure) to review content. |
|Students are encouraged to use math-tutoring lab. |
|Use reteaching activities and worksheets found in supplemental textbook materials. |
| |
|Extensions |
|Student research projects on applications of the concepts presented in the unit to real life examples. |
|Class projects such as display cases, magazines, or posters. |
|Students will create review games for the class. |
|Math journal and reflection papers. |
|Use of graphing calculator activities and explorations. |
|Internet resources such as web quests. |
|COURSE: Keystone Algebra Prep (M 1 & 2) |GRADE(S): 10-12 |
|STRAND: 2.2 Algebraic Concepts |TIME FRAME: 45 days |
|2.2D Algebra | |
|PA ACADEMIC STANDARDS |
| |
|CC.2.2.HS.D.1, CC.2.2.HS.D.2, CC.2.2.HS.D.3, CC.2.2.HS.D.4, CC.2.2.HS.D.5, CC.2.2.HS.D.6, CC.2.2.HS.D.7, CC.2.2.HS.D.8, |
|CC.2.2.HS.D.9, CC.2.2.HS.D.10 |
|CC.2.2.HS.C.1, CC.2.2.HS.C.2, CC.2.2.HS.C.3, CC.2.2.HS.C.4, CC.2.2.HS.C.5, CC.2.2.HS.C.6 |
|ASSESSMENT ANCHORS |
| |
|A1.1, A1.2, A2.1, A2.2 |
|RESOURCES |
|Keystone Finish Line by Continental Press |
|Teacher Created Worksheets |
|Kuta Software Website |
|Released Keystone Exams |
|OBJECTIVES |
| |
|The learner will utilize algebraic concepts. |
|ESSENTIAL CONTENT |
| |
|Apply equation-solving techniques to problems involving all real numbers. |
|Solve and check one step equations involving addition, subtraction, multiplication, and division. |
|Solve related word problems (coin, age, consecutive integer, etc.). |
|Solve two or more step equations. |
|Solve and check equations involving combining like terms. |
|Solve and check equations involving parenthesis and like terms. |
|Solve and check word problems involving geometric formulas (area, perimeter, circumference). |
|Graph inequalities involving , . |
|Write an inequality from a graph. |
|Solve inequalities involving addition and subtraction. |
|Solve inequalities involving multiplication and division. |
|Solve inequalities involving more than one step. |
|Graph solutions of inequalities on a number line. |
|Solve and graph compound inequalities (and/or) |
|Find the intersections and union of sets. |
|Solve and graph absolute value equations and inequalities. |
|Graph ordered pairs. |
|Identify quadrants in the coordinate plane. |
|Find the x- and y- intercepts of a line. |
|Find the slope of a line. |
|Write an equation in standard form. |
|Write an equation in slope-intercept form. |
|Understand the concept of the slope of parallel lines. |
|Understand the concept of the slope of perpendicular lines. |
|Graph a linear equation using the y- intercept and the slope. |
|Write an equation in standard form. |
|Solve a system of equations by graphing. |
|Solve a system of equations by the substitution method. |
|Solve a system of equations by the elimination method. |
|Solve word problems involving two variables. These include: number, money, digit, distance, and mixture problems. |
|Solve and graph system of inequalities involving two or more variables. |
|Classify a polynomial as a monomial, binomial, trinomial, or polynomial. |
|Multiply and divide monomials. |
|Add and subtract polynomials. |
|Multiply two binomials using the foil method. |
|Multiply two polynomials using the distributive method. |
|Factor a polynomial using the greatest common factor method. |
|Factor a binomial using the difference of squares method. |
|Factor a trinomial using the perfect square trinomial method. |
|Factor a trinomial of the form x2 + bx + c when c is negative or positive. |
|Factor a trinomial of the form ax2 + bx + c. |
|Factor a polynomial using a combination of methods. |
|Solve equations using the various methods of factoring including factoring by grouping. |
|INSTRUCTIONAL STRATEGIES |
|Use a number line to emphasize signed numbers. |
|Play Jeopardy to review concepts |
|Use write boards to promote comprehension |
|Group activities |
|Think-Pair-Share |
|ASSESSMENTS |
| |
|Teacher designed tests and quizzes |
|Activities, which demonstrate knowledge of the concepts taught. |
|Worksheets designed to demonstrate knowledge of the concepts taught. |
|Portfolios. |
|Keystone sample questions. |
|CORRECTIVES/EXTENSIONS |
| |
|Correctives |
|Use crossword puzzles to reinforce or reteach basic terminology. |
|Students work in pairs (cooperative learning structure) to review content. |
|Students are encouraged to use math-tutoring lab. |
|Use reteaching activities and worksheets found in supplemental textbook materials. |
| |
|Extensions |
|Student research projects on applications of the concepts presented in the unit to real life examples. |
|Class projects such as display cases, magazines, or posters. |
|Students will create review games for the class. |
|Math journal and reflection papers. |
|Use of graphing calculator activities and explorations. |
|Internet resources such as web quests. |
|COURSE: Keystone Algebra Prep (M2) |GRADE(S): 10-12 |
|STRAND: |TIME FRAME: 45 days |
|2.4 Measurement, Data, & Probability | |
|PA ACADEMIC STANDARDS |
| |
|CC.2.4.HS.B.1, CC.2.4.HS.B.2, CC.2.4.HS.B.3, CC.2.4.HS.B.4, CC.2.4.HS.B.5, CC.2.4.HS.B.6, CC.2.4.HS.B.7 |
|ASSESSMENT ANCHORS |
| |
|A1.2, A2.2 |
|RESOURCES |
|Keystone Finish Line by Continental Press |
|Teacher Created Worksheets |
|Kuta Software Website |
|Released Keystone Exams |
|OBJECTIVES |
| |
|The learner will apply algebraic concepts to probability and statistics. |
|ESSENTIAL CONTENT |
| |
|To analyze data using Scatter Plots. |
|To find mean, median, mode and range. |
|To make a stem-and-leaf plot. |
|Find theoretical and experimental probability. |
|Find probability of independent and dependent events. |
|INSTRUCTIONAL STRATEGIES |
| |
|Use the following computer software: Graphing Linear Equations. |
|Provide realistic applications of slope of a line. |
|Use Access computer software. |
|Use cooperative learning groups. |
|ASSESSMENTS |
| |
|Teacher designed tests and quizzes |
|Activities, which demonstrate knowledge of the concepts taught. |
|Worksheets designed to demonstrate knowledge of the concepts taught. |
|Portfolios. |
|Keystone sample questions. |
|CORRECTIVES/EXTENSIONS |
| |
|Correctives |
|Use crossword puzzles to reinforce or reteach basic terminology. |
|Students work in pairs (cooperative learning structure) to review content. |
|Students are encouraged to use math-tutoring lab. |
|Use reteaching activities and worksheets found in supplemental textbook materials. |
| |
|Extensions |
|Student research projects on applications of the concepts presented in the unit to real life examples. |
|Class projects such as display cases, magazines, or posters. |
|Students will create review games for the class. |
|Math journal and reflection papers. |
|Use of graphing calculator activities and explorations. |
|Internet resources such as web quests. |
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- parkway school district school calendar
- davis school district school calendar
- pleasant valley high school chico
- scranton school district school board meeting
- pleasant valley high school chico ca
- pleasant valley high school ca
- great valley school district employment
- grain valley mo school district employment
- great valley school district jobs
- central valley school district spokane jobs
- great valley school district pa
- great valley school district superintendent