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START TO FINISH Classroom Engagement Techniques Claire Suddeth Nancy Pevey Pellissippi State Community College Knoxville, TN
GETTING OFF TO A GOOD START Introductions Website Style Syllabus
STATIONS: STEP BY STEP 1.Select a topic. 2. Plan for logistics. 3. Construct assignment. 4. Determine size. 5. Perform activity.
STATIONS: EXAMPLES Rational Expressions and Equations Confidence Intervals and Sample Sizes
SNOWBALL: STEP BY STEP 1. Select a topic with multiple steps. 2. Construct and copy activity. 3. Circle different questions. 4. Distribute activity with specific instructions.
SNOWBALL FACTORING Greatest Common Factor Guess and Check A-C Method Grouping Difference of Two Squares Perfect Trinomial Squares
SNOWBALL: EXAMPLES Factoring Hypothesis Testing Quadratic Equations
HINT – HINT TEST CORRECTIONS
SEND-A-PROBLEM: STEP-BY-STEP 1.Decide topic and problems. 2. Use File folders to rotate problems. 3. Perform activity in groups. 4. Final round: review, evaluate.
SEND-A-PROBLEM: EXAMPLES Trigonometric Identities Trigonometric Equations Exponential and Logarithmic Equations
HEADING TO THE FINISH LINE Semantic Differential
HEADING TO THE FINISH LINE Review Ratings 1.Feel confident. 2.Common error. 3.Struggle.
Notes Over 10.7 Factoring Special Products Difference of Two Squares.
Section 5-5: Factoring Using Special Patterns Goal: Factor Using Special Patterns.
Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.
SOLVING QUADRATICS: THE SQUARE ROOT PRINCIPLE PART 3.
Solving a Trigonometric Equation Find the general solution of the equation.
Overview of MAC1105 College Algebra. 1. Graph Circles 2. Find Equations of Circles.
5-4 Factoring Quadratic Expressions Big Idea: -Factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference.
4.4 Factoring Quadratic Expressions P Factoring : Writing an expression as a product of its factors. Greatest common factor (GCF): Common factor.
Math /6.3– Trigonometric Equations
Trigonometric Equations OBJECTIVES: Use standard algebraic techniques to solve trigonometric equations Solve trigonometric equations of quadratic type.
Converting Quadratic Equations A step-by-step guide with practice.
Algebra 2 Final Review Study Outline Chapter 5: Quadratic Functions Chapter 6: Polynomial Functions Chapter 7&9: Functions and Inverses Exponential and.
SOLVING QUADRATIC EQUATIONS COMPLETING THE SQUARE Goal: I can complete the square in a quadratic expression. (A-SSE.3b)
WARM UP SOLVE USING THE QUADRATIC EQUATION, WHAT IS THE EXACT ANSWER. DON’T ROUND.
Quiz 2 Feedback & Factoring Monday, September 16 Make sense of problems and persevere in solving them.
Solving Quadratics: Factoring. What is a factor? Numbers you can multiply to get another number 2 3.
Algebra Core Review Day 7. Unit 15: Factoring GCF: Difference of Squares: Perfect Square Trinomial:
Continuing with Operation-Inverse Pairs Copyright 2014 Scott Storla.
Completing the Square 4-6 Day 1 Today’s Objective: I can use the process of completing the square to solve or rewrite a quadratic equation.
5.6.1 – Square Root Method. Recall, we solved “quadratic equations” when we set a polynomial equation equal to 0 Example. x 2 + 5x + 6 = 0.
Why we complete the square We have learned how to factor quadratic expressions to solve. Many quadratic equations contain expressions that cannot be.
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.
Unit 11: Factoring Section 1: Prime Factorization To find the prime factorization of a whole number, it is best to start by making a factor tree Write.
Section 5.3 Factoring Quadratic Expressions Objectives: Factor a quadratic expression. Use factoring to solve a quadratic equation and find the zeros.
Day Problems Factor each expression. 1.x 2 – a 2 – m 2 – 144m v 2 – 220v n 2 – 225.
Chapter 5 Analytic Trigonometry Solving Trig Equations Objectives: Use standard algebraic techniques to solve trigonometric equations. Solve.
Section 5.4. Double-Angle Identities Proving the first of these:
Warm-Up 10/28 1. D. Rigor: You will learn how to solve trigonometric equations by using algebraic techniques and by using basic trigonometric identities.
Find the product 1.(4y – 3)(3y + 8) 2.(5m + 6)(5m – 6) 12y y – 24 25m 2 – 36 3.(4q – 5) 2 16q 2 – 40q Solve x 2 – x – 30 = 0. (x – 6 )(x.
Welcome Mrs. Clancy Clancy (630) Pre-Calculus Honors AP Statistics.
Algebra 10.5 Factoring Trinomials With a Lead Coefficient of 1 to Solve.
Section 5.4 Day 5 Obj: to factor special and combo quadratic expressions.
Algebra 2: Section 6.4 Factoring and Solving Polynomial Equations (Day 1)
Calculus and Analytic Geometry II Cloud County Community College Spring, 2011 Instructor: Timothy L. Warkentin.
Higher Mathematics Expressions and Functions Applications Relationships and Calculus H.
Objective: 6.4 Factoring and Solving Polynomial Equations 1 5 Minute Check Simplify the expression
Factoring Polynomials by Completing the Square. Perfect Square Trinomials l Examples l x 2 + 6x + 9 l x x + 25 l x x + 36.
Factoring Perfect Square Trinomials and Difference of Perfect Squares.
Multiply the polynomial. 1.(x + 2)(x + 3)(x + 1) ANSWER (x 2 + 5x + 6)(x + 1) ANSWER 4x 2 – 1 2.(2x – 1)(2x + 1) 3. (x – 7) 2 ANSWER x 2 – 14x + 49.
5.3 Solving Trigonometric Equations. Simple trigonometric equation Solve Solutions: General Solutions:
EXPONENTS AND POLYNOMIALS College Algebra. Integral Exponents and Scientific Notation Positive and negative exponents Product rule for exponents Zero.
Algebra 2 cc Section 2.2 Solve quadratic equations by factoring Note: 3∙2 = 6, so 2 and 3 are factors of 6 Factoring is the inverse of multiplying. There.
Warm Up Write each expression as a trinomial. Factor each expression.
Many quadratic equations can not be solved by factoring. Other techniques are required to solve them. 7.1 – Completing the Square x 2 = 20 5x =
Completing the Square. 2 Warm-Up l Create Perfect Square Trinomials. Write the SQUARES of BINOMIALS l ==== x x + ___ x 2 - 4x + ___ x x +
EXAMPLE 1 Solve a quadratic equation by finding square roots Solve x 2 – 8x + 16 = 25. x 2 – 8x + 16 = 25 Write original equation. (x – 4) 2 = 25 Write.
EXAMPLE 2 Rationalize denominators of fractions. Simplify (a) 5 2 and SOLUTION (a) = = 5 2 = (b)
Copyright © Cengage Learning. All rights reserved. 3 Exponents, Polynomials and Functions.
Holt McDougal Advanced Algebra Unit 1Inferences and Conclusions from Data Unit 2Polynomial Functions Unit 3Rational and Radical Relationships Unit 4Exponential.
Solving Quadratics Algebra 2 Chapter 3 Algebra 2 Chapter 3.
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