Content Area: SAT Preparation

Name: Dr. Kost

Date: 11-10-14

WOODLAND HILLS SECONDARY
LESSON PLANS

Content Area: SAT Preparation

Length of Lesson:45 Days

STAGE I – DESIRED RESULTS
Lesson Topic (Modules, if applicable):
Operations with Real Numbers and Expressions
Test-Taking Strategies / Big Ideas:
CC.2.1.8.E.1Distinguish between rational and irrational numbersusing their properties.
CC.2.1.8.E.4Estimate irrational numbers by comparing them to rational numbers.
CC.2.1.HS.F.1Apply and extend the properties of exponents to solve problems with rational exponents.
CC.2.1.HS.F.2Apply properties ofrational and irrational numbers to solve real‐world ormathematical problems
CC.2.1.6.E.3Develop and/or apply numbertheory conceptsto findcommon factors andmultiples.
CC.2.1.HS.F.2Apply properties ofrational and irrational numbers to solve real‐world ormathematical problems.
CC.2.1.HS.F.1Apply and extend the properties of exponents to solve problems with rational exponents.
CC.2.1.HS.F.2Apply properties ofrational and irrational numbers to solve real‐world ormathematical problems.
CC.2.2.8.B.1Apply concepts ofradicals and integer exponents to generate equivalent expressions.
CC.2.2.7.B.3Model and solve real‐world and mathematical problems by using and connecting numerical, algebraic, and/or graphicalrepresentations.
CC.2.2.HS.D.9Use reasoning to solve equations and justify the solutionmethod.
CC.2.2.HS.D.1Interpretthe structure of expressions to represent a quantity in terms ofits context.
CC.2.2.HS.D.2Write expressionsin equivalentformsto solve problems.
CC.2.2.HS.D.3Extend the knowledge of arithmetic operations and apply to polynomials.
CC.2.2.HS.D.5Use polynomial identitiesto solve problems.
CC.2.2.HS.D.6Extend the knowledge ofrationalfunctions to rewrite in equivalentforms. / Understanding Goals (Concepts):
A1.1.1.1 Represent and/or use numbers
in equivalentforms (e.g., integers,fractions, decimals,
percents, square roots, and exponents).
A1.1.1.2 Apply numbertheory concepts to show relationships between real numbersin problem‐
solving settings.
A1.1.1.3 Use exponents,roots, and/orabsolute valuesto solveproblems.
A1.1.1.4 Use estimation strategies in problem‐solving situations.
A1.1.1.5 Simplify expressions involving polynomials.
A1.1.2.1 Write,solve, and/or graph linear equations using various methods.
A1.1.2.2 Write,solve, and/or graphsystems of linear equations using variousmethods.
Student Objectives (Competencies/Outcomes):
A1.1.1.1.1 Compare and/or order any real numbers.
Note: Rational and irrational may be mixed.
A1.1.1.1.2 Simplify square roots (e.g., √24 = 2√6).
A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems.
Note: Exponents should be integers from 1 to 10.
A1.1.1.4.1 Use estimation to solve problems.
A1.1.1.5.1 Add, subtract, and/or multiply polynomial expressions (express answers in simplest form). Note: Nothing larger than a binomial multiplied by a trinomial.
A1.1.1.5.2 Factor algebraic expressions, including difference of squares and trinomials. Note: Trinomials are limited to the form ax2 + bx + c where a is equal to 1 after factoring out all monomial factors.
A1.1.1.5.3 Simplify/reduce a rational algebraic expression. / Essential Questions:
How can we show that algebraic properties and processes are extensions of arithmetic properties and processes, and how can we use algebraic properties and processes to solve problems?
How is mathematics used to quantify, compare, represent, and model numbers?
How are relationships represented mathematically?
What does it mean to estimate or analyze numerical quantities?
How can expressions, equations, and inequalities be used to quantify, solve, model, and/or analyze mathematical situations?
What makes a tool and/or strategy appropriate for a given task?
How can patterns be used to describe relationships in mathematical situations?
How can recognizing repetition or regularity assist in solving problems more efficiently? / Vocabulary:
Composite Number, Cube Root, Integer, Perfect Square, Prime Number, Radical Expression, Square Root, Inequality, Irrational Number, Rational Number, Real Number, Repeating Decimal, Terminating Decimal, Greatest Common Factor, Least Common Multiple, Monomial, Term, Absolute Value, Exponent, Expression, Negative Exponent, Order of Operations, Power, Positive Exponent, Power of a Root, Power of Products, Simplify, Estimation Strategy, Rate of Interest, Binomial, Coefficient, Constant, Degree of a Polynomial, Like Terms, Monomial, Polynomial, Polynomial Function, Power, Quadratic Equation, Factor, Factor of a Monomial, Factor of a Polynomial, Simplest Form, Trinomial, Rational Expression
STAGE II – ASSESSMENT EVIDENCE
Performance Task:
Students will work primarily on Dr. Kost’s Test Taking Curricula. Students will also use the College Board’s SAT Online Program to prepare. / Formative Assessments:
Demonstrated throughout each class as needed.
STAGE III – LEARNING PLAN
Materials and Resources:
*Computers with SAT Online Course Accessibility
*Dr. Kost’s Test Taking Book
*Calculators / Interventions:
Individual pullout for students as needed.
Instructional Procedures*:
Day A / Day B
Procedures / Test Taking Strategies and SAT Skills Insight, SAT Online Program / Test Taking Strategies and SAT Skills Insight, SAT Online Program
Assignments / Test Taking Strategies and SAT Skills Insight, SAT Online Program / Test Taking Strategies and SAT Skills Insight, SAT Online Program

*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections