Discuss your strategies to solve #3 with your neighbors. Use a different strategy to solve the following problem: Problem: A school play charges $2 for.

Slides:

Advertisements

Similar presentations

“The Handshake Problem” Problem Solving Ch 1. Shake Hands with Everyone Some things to think about: How many handshakes occurred? How did you keep track.

Advertisements

Solving Equations (Multiplication & Division) Grade Seven & Eight Mathematics M. M. Couturier.

Functions Solving Equations Simplifying & Solving Variables.

Homework Explanations

Algebraic Word Problems

Solving Equations with the Variable on Both Sides Objectives: to solve equations with the variable on both sides.

Welcome to MATH 302A Please find the index card with your name on it and sit there. On the other side of the index card, write: Name as you wish to be.

Week 2--Glad you came back! Please take out your homework. Staple it if necessary. Your homework and exploration should be turned in separately. Make sure.

January 20, 2009 Hope you enjoyed the long weekend!

Exploration 1.1 With 24 people in class, including yourself, if each person shakes hands with every person, how many handshakes will there be?

Can you find the pattern?. 3-2 Solving by Graphing Objective: to find the root/solution/zero of a linear equation by graphing.

5.2 Solving Systems of Linear Equations by Substitution

Math 302A section 5 Spring, 2009 Instructor: Laurie Varecka.

Welcome to Math 302A Chris Mikel

Solving Equations with the Variable on Both Sides

SOLVING SYSTEMS USING SUBSTITUTION

COMPASS Practice Test 13 Quadratics. This slide presentation will focus on quadratics. Quadratics will always have a variable raised to the second power,

Equations & Brackets.. You are now going to solve more complex equations by combining together two ideas that you have seen already. Try the following.

Solving Word Problems. Follow these steps 1.Read the problem twice. 2.UPS- Understand, Plan, Solve 3. Understand: - What is the problem asking for? -

Standardized Test Practice

7-2 and 7-3 Solving Systems of Equations Algebraically The Substitution and Elimination Method.

Systems of Linear Equations and Systems of Linear Inequalities Chapter 6.

Table of Contents First note this equation has "quadratic form" since the degree of one of the variable terms is twice that of the other. When this occurs,

Warm Up I can solve systems of equations by substitution.

Developing Mathematical Thinkers

Solving Linear Systems by Substitution Section 3-2:

CAR SALES Solve a real-world problem EXAMPLE 3 A car dealership sold 78 new cars and 67 used cars this year. The number of new cars sold by the dealership.

 Solve one of the equations for one of the variables.  Isolate one of the variables in one of the equations.  Choose whichever seems easiest.  Substitute.

 Solve by substitution: 1. y = 2x+3 y = 4x+5 2. A tow company charges $2 per mile plus a fee of $20. Another company charges $5 per mile plus a $10 fee.

Do Now – Algebra 1 1) Take out HW!!!! 2) Use the Do Now sheet from yesterday. 3) Problem of the Day: Make sure to solve algebraically on the paper (not.

Addition & Subtraction

Applications of Cost Example: The admission price to a basketball game at Southridge High School is $4 for children and $7 for adults. If 600 tickets were.

Solving Inequalities by adding or subtracting, checking the inequality & graphing it!! This is so easy you won’t even need one of these!!!

Plenary 4 Summer Institute Thunder Bay. 2 Consider this relation…

Using Systems to Solve Problems (day 3 of 3) MCC9-12.A.REI.5 & MCC9-12.A.REI6 Learning Target: I am learning to write and solve a system of equations to.

Teaching Through Problem Solving

Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.

Use the substitution method

Solve Linear Systems by Substitution January 28, 2014 Pages

Review Solving Equations 3.1 Addition and Subtraction 3.2 Multiplication and Division 3.3 Multi-step equations 3.4 Variables on Both Sides.

Solving Equations I Lesson After completing this lesson, you will be able to say: I can define and apply inverse operations of addition or subtraction.

Introduction to Systems of Equations (and Solving by Graphing) Unit 5 Day 3.

Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +

Monday, 1/12 Warm-up It snowed 6 inches already and it is expected to snow another 2 inches every hour. 1.Write an equation representing the total snowfall.

Opener 1. How many 1 3 cupfulls would it take to fill a 6-cup container? 2. How many 3 4 cupfulls would it take to fill a 6-cup container? 3. How many.

BELLWORK Evaluate each expression if x= -4 and y= -9.

Day One Every Day per lb You will have 15 minutes to work with your partner to help me solve my problem. Then you will have another 10 minutes.

LESSON 6–2 Substitution.

Solving Equations with the Variable on Both Sides

Section 3.3 Solving Equations with Variables on Both Sides

Welcome to Glenallan’s Community Connection with a Math Focus!

5.2 Solving Systems of Linear Equations by Substitution

Chapter 3 Section 4.

Learning Objective: To assess my understanding of solving equations.

Introduction to Systems of Equations (and Solving by Graphing)

Section 2.9 Solving One-Step Inequalities by Adding or Subtracting

Write Equations of Lines

Objective Solve one-step equations in one variable by using addition or subtraction.

Year 8 Mathematics Area and Perimeter

Functions Solving Equations Simplifying & Solving Variables on Both

Objective Solve one-step equations in one variable by using addition or subtraction.

8.2 Solving by Substitution

Purpose 2-1 Students will be able to solve one-step equations in one variable by using addition or subtraction.

Lesson 1.6 – Problem Solving

DO NOW (Warm-up) Add the following word to your vocabulary section of your notebook (for Ch. 3) 1. Solution of an inequality: any number that makes.

2.1 Using Problem Solving Strategies and Models

2.1 Using Problem Solving Strategies and Models

Comparing Expressions Review

Presentation transcript:

Discuss your strategies to solve #3 with your neighbors. Use a different strategy to solve the following problem: Problem: A school play charges $2 for students and $5 for adults. For the three days of the play, 20 tickets were sold and $85 was raised. How many student tickets were sold? Welcome Back!

A New Way of Looking at Teaching and Learning Mathematics Teaching mathematics is NOT just about teaching students a specific set of mathematical skills.

A New Way of Looking at Teaching and Learning Mathematics The process of learning mathematics is a vehicle through which students learn to solve problems, period (mathematical or otherwise).

A New Way of Looking at Teaching and Learning Mathematics It is through mathematics that you can really focus on teaching how to organize your thoughts – to plan – to strategize how to approach a situation you have never faced before.

Unacceptable Answers  15 tickets for $5, 5 tickets for $2  The school sold fifteen $5 tickets and five $2 tickets.  I did the work in my head.  I did the work on my calculator.

More Unacceptable Answers  2x + 5y = 85; x + y = 20 so x = 5 and y = 15. I subtracted y from both sides in the second equation then substituted x = 20 – y into the second and solved for y. Then I solved for x.  I just tried a bunch of things. Aren’t I lucky--I got it on the first try.  This is a stupid problem and I am not going to waste your time explaining it to you.

So, what is a good answer? I let x represent the number of student tickets and y represent the number of adult tickets sold. Then I wrote down equations showing how they are related to one another. To solve these equations I used informed guessing to find out numbers that add to 20 that also made 2x + 5y = 85 dollars.

So, what is a good answer? Continued… if x = 10 and y = 10, then = 70 this is too small. If x = 12 and y = 8, then = 64 making y smaller decreases the amount of money raised. Since my first guess was y = 10, I will try y > 10 for my next guess. If x = 6 and y = 14, then = 82. Still too small. I will try y > 14 next. If x = 5 and y = 15, then = 85! Five $2 tickets and fifteen $5 tickets = $85 and = 20.

Exploration 1.1 Handshakes  1.Work on this problem alone for a few minutes. Can you apply ideas discussed in the preface to find patterns in this problem? Can you use what you see to help you plan a solution?

Exploration Discuss your ideas with everyone at your table. Describe new ideas that you like that arose from the discussion. (Note: if you have already solved the problem, do not just tell the answer. Tell IDEAS that will allow your peers to get the answer on their own.) Solve the problem together.

Homework For class Wednesday: in textbook, Read Section 1.7 Due Wednesday: in textbook, p # 5, 21a, 22df, 25, 30c, 39 in Explorations, 1.1 Handshakes #3 (you can use your solution from class), 5 Use the formula you obtain and show that it works for 22 students. Be sure to explain what each part of your formula means. Due Friday: 1.4 Darts #1, 4, 5 (We will discuss our answers in class on Wed., Jan. 21)