MA-HS-NPO-S-E1 - Powell County Schools

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Date: August 12 - August 25

Grade Level/ Class Period: 10 th /11 th : 1 st & 6 th

Subject Area: Algebra 2/Unit 1 Equations and Inequalities (Algebra 1 Review)

Number of days in lesson: 8 days

Teacher: S. Linn

Program of Studies – “Know"

MA-HS-NPO-U-1

Students will understand that numbers, ways of representing numbers, relationships among numbers and number systems are means of representing real-world quantities.

MA-HS-NPO-U-2

Students will understand that meanings of and relationships among operations provide tools necessary to solve realistic problems encountered in everyday life and problems encountered in mathematical situations.

MA-HS-NPO-U-3

Students will understand that computing fluently and accurately with real numbers and making reasonable estimates increases the ability to solve realistic problems encountered in everyday life.

MA-HS-AT-U-3

Students will understand that algebra represents mathematical situations and structures for analysis and problem solving.

Skills and concepts – “Do” – this should guide you on how many days it will take to teach Unit. Usually a day for each skill. POS skills and concepts.

This is where you “I Can” statements come from.

MA-HS-NPO-S-PNO3

Students will compare and contrast the number systems according to their properties.

MA-HS-NPO-S-PNO1

Students will identify and apply real number properties.

MA-HS-NPO-S-PNO2

Students will use equivalence relations of real numbers to solve problems.

MA-HS-NPO-S-PNO4

Students will justify the solution steps in simplifying expressions or solving an equation.

MA-HS-NPO-S-E1

Students will use calculators appropriately and regularly make estimations without a calculator to detect potential errors.

MA-HS-NPO-S-E2

Students will estimate solutions to problems with real numbers

(including very large and very small quantities) in both realistic and mathematical situations.

MA-HS-NPO-S-NO1

Students will add, subtract, multiply and divide real numbers.

MA-HS-NPO-S-NO4

Students will apply absolute value, integer exponents, roots and factorials to solve problems.

MA-HS-NPO-S-NO9

Students will solve realistic problems to a specified degree of accuracy.

MA-HS-NPO-U-4

Students will understand that problem solving and connections with other content areas require a strong sense of number, including applications of absolute value (magnitude) and the ordering of numbers.

MA-HS-NPO-S-NS1

Students will compare real numbers using order relations.

MA-HS-NPO-S-NS2

Students will locate the position of a real number on the number line, find its distance from the origin (absolute value/magnitude) and find the distance between two numbers on the number line (the absolute value of their difference).

MA-HS-NPO-S-NS3

Students will determine the relative position on the number line of real numbers, including very large and very small numbers, and the relative magnitude of numbers expressed in fractional form, in decimal form, as roots or in scientific notation.

MA-HS-AT-S-VEO1 Students will write expressions, equations, inequalities and relations in equivalent forms.

MA-HS-AT-S-VEO2

Students will use symbolic algebra to represent and explain mathematical relationships.

MA-HS-AT-S-VEO3

Students will use symbolic expressions, including iterative and recursive forms, to represent relationships among various contexts.

MA-HS-AT-S-VEO4

Students will judge the meaning, utility and reasonableness of the results of symbol manipulations, including those carried out using technology.

MA-HS-AT-S-VEO5

Students will understand the properties of integer exponents and roots and apply these properties to simplify algebraic expressions.

MA-HS-AT-S-EI3

Students will solve one-variable equations and inequalities using manipulatives, symbols, procedures and graphing, including graphing the solution set on a number line.

MA-HS-AT-S-EI4

Students will solve linear equations and inequalities in one variable including those involving the absolute value of a linear function.

MA-HS-AT-S-EI5

Students will solve an equation involving several variables for one variable in terms of the others.

MA-HS-1.1.2

Students will demonstrate the relationships between different subsets of the real number system.

MA-HS-1.5.1

Students will identify real number properties (commutative properties of addition and multiplication, associative properties of addition and multiplication, distributive property of multiplication over addition and subtraction, identity properties of addition and multiplication and inverse properties of addition and multiplication) when used to justify a given step in simplifying an expression or solving an equation.

MA-HS-1.5.2

Students will use equivalence relations (reflexive, symmetric, transitive).

MA-HS-1.2.1

Students will estimate solutions to problems with real numbers (including very large and very small quantities) in both real-world and mathematical problems, and use the estimations to check for reasonable computational results.

MA-HS-1.3.1

Students will solve real-world and mathematical problems to specified accuracy levels by simplifying expressions with real numbers involving addition, subtraction, multiplication, division, absolute value, integer exponents, roots (square, cube) and factorials.

DOK 2

MA-HS-1.1.1

Students will compare real numbers using order relations (less than, greater than, equal to) and represent problems using real numbers.

MA-HS-5.2.1

Students will apply order of operations, real number properties (identity, inverse, commutative, associative, distributive, closure) and rules of exponents (integer) to simplify algebraic expressions.

DOK 1

MA-HS-5.2.2

Students will evaluate polynomial and rational expressions and expressions containing radicals and absolute values at specified values of their variables.

MA-HS-5.3.1

Students will model, solve and graph first degree, single variable equations and inequalities, including absolute value, based in real-world and mathematical problems and graph the solutions on a number line.

DOK 2

MA-HS-5.3.2

Students will solve for a specified variable in a multivariable equation.

Assessment – CC 4.1 Please insert (or attach) your Multiple Choice test for the end of your Unit

Attached. The test is completed in ExamView and is difficult to past in this document.

Open Response Item: Insert Prompt here

The open response is attached to the test.

Sample 4 – MUST write your sample 4 response here.

This is also attached to the test

Daily Outcomes/Lesson Activities/Exit Slips

Day 1

Outcome(s): I Can evaluate algebraic expressions.

Flashback(s): p10: 50,52

Lesson Activities/Resources/ Lesson Procedures: 1-1 Expressions and Formulas

pp7-9: 11,14, 15, 17, 21, 22, 24-28, 32, 35-37, 41*, 43, 45*

For every lesson I am using the Glencoe Interactive CLassroom and using the clicker system for students to respond to guided practice/self- check. This allows me to see the student understanding immediately.

Exit Slip:p10: 50

Day 2

Outcome(s): I Can use the properties of real numbers to simplify algebraic expressions.

Flashback(s): p10: 53

Lesson Activities/Resources/ Lesson Procedures: 1-2 Properties of Real Numbers pp14-17: 18-21, 26-30, 36, 37, 42, 45, 46, 48, 50, 52, 53, 55, 63, 64

Exit Slip: p16: #51

Day 3

Outcome(s): I Can solve linear equations.

Flashback(s): p17:63,64

Lesson Activities/Resources/ Lesson Procedures: http://www.glencoe.com/sites/common_assets/mathematics/alg2_2010/math_in_motion/chapter_opener/A2_10_CO

_01/index.html

1-3 Solving Equations

pp22-25: 22, 24, 26, 29, 34, 35-46, 50, 51, 52, 57, 59, 62, 68, 69

Exit Slip: p26: 18

Day 4

Outcome(s): I Can solve absolute value equations

Flashback(s): p25: 58,69

Lesson Activities/Resources/ Lesson Procedures: 1-4 Solving Absolute Value Equations

Pp30-31: 16, 20, 22, 24-34 even, 35, 38, 42, 43, 45, 54

Exit Slip:p31: 51

Day 5

Outcome(s): I Can solve and graph inequalities.

Flashback(s): p32: 54,55

Lesson Activities/Resources/ Lesson Procedures: 1-5 Solving Inequalities

Pp36-39: 1-9, 22,27, 40

Exit Slip: p38: 45

Day 6

Outcome(s): I Can solve compound inequalities

Flashback(s): p39:51,52,53

Lesson Activities/Resources/ Lesson Procedures: 1-6 Solving Compound and Absolute Value Inequalities http://www.glencoe.com/sites/texas/student/mathematics/assets/animation/algebra2/ALG@CIM1-6.swf

pp 45-47: 12, 14, 17-21, 22, 31, 32, 39, 47, 53, 54, 66

Exit Slip: p48:67

Day 7 & Day 8 http://www.quia.com/cb/25309.html

review game for unit

End of Test Review: p53: 1-25, p57:1-14

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