Chapter 1 – Tools of Algebra

Slides:



Advertisements
Similar presentations
This word equation is called a verbal model. U SING A P ROBLEM S OLVING P LAN The verbal model is then used to write a mathematical statement, which is.
Advertisements

EXAMPLE 2 Look for a pattern Paramotoring A paramotor is a parachute propelled by a fan-like motor. The table shows the height h of a paramotorist t minutes.
Linear Equations in One Variable -We will solve linear equations -We will solve linear equations containing fractions. -We will solve a formula for a variable.
Chapter 2: Equations and Inequalities 2.3: Applications of Equations
Chapter 2 Approaches to Problem Solving
1.5 Use Problem Solving Strategies and Models Word Problems, YAY!
1.3 Modeling with Linear Equations
Pre-AlgebraAlgebra College Algebra GeometryTrigonmetry.
“Rational Number Riddles”
S ECTION 1.6: P ROBLEM S OLVING U SING A LGEBRAIC M ODELS Goal: Use problem solving strategies to solve real- life problems.
1.5 Problem Solving Using Algebraic Models. Rates: the key word is per time– get some examples: mph, gallon per minute, doughnuts made per hour Be able.
EXAMPLE 1 Use a formula High-speed Train The Acela train travels between Boston and Washington, a distance of 457 miles. The trip takes 6.5 hours. What.
ANSWER = 12.5r 2.9x + 25 = 178 ANSWER ANSWER = 40g + 28(18 – g) 4. A balloon is released from a height of 5 feet above the ground.
EXAMPLE 1 Use a formula High-speed Train The Acela train travels between Boston and Washington, a distance of 457 miles. The trip takes 6.5 hours. What.
EXAMPLE 4 Find a unit rate A car travels 110 miles in 2 hours. Find the unit rate. 110 miles 2 hours = 1 hour 55 miles 2 hours miles 2 = The unit.
You have learned to use a verbal model to solve real-life problems. Verbal models can be used with other problem solving strategies, such as drawing a.
Bell Work: Be ready to hand in your signed course syllabus, and have your notebook out, open, and ready for notes!!!
1.5 Problem Solving. Word Problems  Steps: 1. Declare your variables/verbal model 2. Write an equation 3. Solve 4. Answer questions—check answer to make.
2-Step Word Problems Multi-Step Word Problems Distance, Rate, and Time
1.5 PROBLEM SOLVING USING ALGEBRAIC MODELS Algebra 2.
EXAMPLE 1 Use a formula High-speed Train The Acela train travels between Boston and Washington, a distance of 457 miles. The trip takes 6.5 hours. What.
Do Now 2/8/10 Copy HW in your planner. Copy HW in your planner.  Text p.  Text p. 272, #10-36 evens, #44, & #47 Be ready to copy POTW #2 Be ready to.
Section 5Chapter 7. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Applications of Rational Expressions Find the value of an.
Do Now 3/28/11 Copy HW in your planner. Copy HW in your planner.  Text p.  Text p. 272, #10-36 evens Be ready to copy POTW #1 for the 4 th marking period.
1.5 “Problem Solving Strategies” Examples: 1. A train travels between Boston and Washington, a distance of 457 miles. The trip takes 6.5 hours. What is.
Solve for the indicated variable:. Writing and Using a Geometric Formula: You have a 3 inch by 5 inch photo that you want to enlarge, mat, and frame.
Chapter 1 Section 5: Problem solving Using Algebraic Models.
2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Proportions Similar Figures PercentsApplications.
Section 1.5 Algebra 1 Book – Use a Problem Solving Plan.
Chapter 1 – Connections to Algebra 1.5 – A Problem Solving Plan Using Models.
GOAL: USE A LINEAR EQUATION TO SOLVE A REAL LIFE PROBLEM. ELIGIBLE CONTENT: A / A / A & 2-3 WORD PROBLEMS.
Goal: Use a verbal model to write an algebraic equation to solve a real-life problem. Eligible Content: A / A
Algebra I 1.3 Write Expressions. Objective The student will be able to: translate verbal expressions into math expressions and vice versa.
A Problem Solving Plan Using Models Verbal Model: ask yourself what you need to know to solve the problem. Then write a verbal model that will give you.
2.1 Using Problem Solving Strategies and Models Math Midterm: March 11.
Do Now 1/3/12 Copy HW in your planner. Copy HW in your planner.  Text p.152, #6-24 evens, 27, 31, & 32 Be ready to copy POTW #5 Be ready to copy POTW.
Chapter 1 Summary and Review Let’s play JEOPARDY!!!!!
EXAMPLE 1 Use a formula High-speed Train The Acela train travels between Boston and Washington, a distance of 457 miles. The trip takes 6.5 hours. What.
3.5 Linear Equations and Problem Solving A page of your school yearbook is 8 ½ inches by 11 inches. The left margin is ¾ inch and the space to the right.
Chapter 3 – Solving Linear Equations 3.5 – Linear Equations and Problem Solving.
Section 1.3 Modeling with Linear Equations I can write and use math models to solve real-life problems. 1.3 day 1 HW: 1.3 worksheet Friday: 1.3 additional.
Chapter 2 – Linear Equations and Functions 2.2 – Linear Functions and Function Notation.
Algebra Section 8 Day 2: Scientific Notation Algebra: S8 Day 21.
1.5 Problem Solving Using Algebraic Models. In this lesson you will: Use a general problem solving plan to solve real-life problems. Use other problem.
Ratios and Rates Objective: SWBAT use ratios and rates to solve real-life problems.
ALGEBRA II: CHAPTER 1 SECTION 5: USE PROBLEM SOLVING STRATEGIES AND MODELS OBJ: SOLVE PROBLEMS USING VERBAL MODELS.
WARMUPS OCTOBER 27-31, MONDAY, OCTOBER 27, 2014 Use a proportion to solve for N in these similar figures. Be Careful Be a Thinker! 1. 2.
Chapter 1 Review Game Ms. LaPorte Algebra Honors.
CP Math Lesson 1-4 “Problem Solving”. Quiz Solve for ‘r’: 1. Solve for ‘w’: 2. Find ‘y’ when x = -3:
3.8 Algebra I. We SayAlgebraically The ratio of a to b if a and b are measured in the same unit a/b is a ratio If a and b are measured in different units.
7.EE.3 Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Solve multi-step real-life and mathematical problems.
Lesson 1.3 Write Expressions Essential Question: How do you write an expression to represent a real- world situation?
Notes Over 3.2 Solve the equation. Notes Over 3.2 Solve the equation.
WRITE AN ALGEBRAIC MODEL.
1.5 Translating Words into Mathematical Symbols
Use a Problem Solving Plan
Notes Over 3.5 Solving Real-Life Problems
2-3: Applications of Equations
Use Problem Solving Strategies and Models
Equations and Inequalities
Solve Linear Systems by Adding or Subtracting
Homework Questions.
Today’s Objective To be able to use ratios and relate quantities in the same units.
Use Problem Solving Strategies and Models
Absolute Value in Open Sentences
Convert the measurements.
1.1 Using Problem Solving Strategies and Models
2.1 Using Problem Solving Strategies and Models
Convert the measurements. 50 miles to kilometers
2.1 Using Problem Solving Strategies and Models
Presentation transcript:

Chapter 1 – Tools of Algebra 1.6 – Problem Solving

1.6 – Problem Solving In this section we will be reviewing: Using problem solving strategies to solve real-life problems

1.6 – Problem Solving Verbal model – an equation written in words Algebraic model – mathematical statement written to solve the problem

1.6 – Problem Solving Steps for Problem Solving Write a verbal model Assign labels Write an algebraic model Solve the algebraic model Answer the question

1.6 – Problem Solving Example 1 The driving distance between Boston, Massachusetts and Cleveland, Ohio is about 660 miles. You drive this trip in a total of 12.5 hours. Find your average speed.

1.6 – Problem Solving Example 2 Your international calling plan charges 8 cents per minute for weekday, daytime calls, and 5 cents per minute for night and weekend calls. If you made a total of 220 minutes of international calls during one billing cycle and your bill was $13.16, not including taxes and fees, how many minutes of night and weekend calls did you make?

1.6 – Problem Solving Example 3 You just bought a used car and are determining your monthly costs. Your monthly car payment will be $252. Your car insurance costs $684 every 6 months. If you have budgeted $450 each month for car expenses, how much money will you have available for buying gasoline each month?

1.6 – Problem Solving Example 4 You are hanging three pictures on a wall that is 16 feet wide. The widths of the three pictures are 2 feet, 3 feet, and 4 feet. You want the space between the pictures to be the same, and for the spaces to the left and right of the group of pictures to each be 6 inches more than the space between adjacent pictures. How should you position the pictures?

1.6 – Problem Solving HOMEWORK Worksheet 1.6 #1 – 16