 Turn in homework for credit  Attendance5 min  Week 4 homework review15 min  Finding a Pattern20 min  In-Class Practice10 min.

Slides:

Advertisements

Similar presentations

Warm Ups {(2,0) (-1,3) (2,4)} Write as table Write as graph

Advertisements

Chapter 1 The Art of Problem Solving © 2008 Pearson Addison-Wesley. All rights reserved.

Prime Factorisation Factor Trees

1. Find the measure of the supplement of a 92° angle. 2. Evaluate (n – 2)180 if n = Solve = 60.

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.

Chapter 1 The Art of Problem Solving © 2007 Pearson Addison-Wesley.

Agenda – Week 3 Turn in homework for credit Attendance 4 min

 Turn in homework for credit  Attendance5 min  Week 4 homework review15 min  Solving a Simpler Related Problem20 min  In-Class Practice10 min.

 Attendance5 min  Week 2 information updates2 min  $15 class fee, room parent  Quick review of assessment2 min  Grading policy  Test taking strategies6.

Other types of Equations Polynomial Equations. Factoring Solve.

Consecutive Numbers Algebra I.

EXAMPLE 3 Make a conjecture Given five collinear points, make a conjecture about the number of ways to connect different pairs of the points. SOLUTION.

Section 1.3 Problem Solving 1. Steps to world problem solving process 1.Understand the Problem 2.Devise a plan 3.Carry out the plan 4.Look back 5.MAKE.

Spiral Review Number Sense and Base Tens. Step 1: What do you need to find? (hint: Look for the sentence that ends with a question mark) Step 2: What.

Multiplication is the process of adding equal sets together = 6 We added 2 three times.

Algebra: Number Patterns and Functions Math Concepts Chapter 1.

Chapter An Introduction to Problem Solving 1 1 Copyright © 2013, 2010, and 2007, Pearson Education, Inc.

Algebra. PDN  Complete your note card as shown:

Section 5.9.A Complex Numbers. 1.) What is the solution for x 2 – 4 = 0 ? 2.) What is the solution for x = 0 ?

Solving Compound Inequalities. Compound Inequality – two inequalities connected by and or or.

Solve a Simpler Problem Lesson 5-6. Strategy When a problem contains difficult numbers (like fractions or mixed numbers), then imagine the problem with.

Factor. 1)x² + 8x )y² – 4y – 21. Zero Product Property If two numbers multiply to zero, then either one or both numbers has to equal zero. If a.

Unit 7 Quadratics Radical Equations Goal: I can solve simple radical equations in one variable (A-REI.2)

Lesson 3-4 Solving Multi-Step Equations. Definition Working Backward- work the axiom of order backwards.

Look for a Pattern 1.8 There are no notes for this lesson. This is a problem- solving activity. Whatever approach you or your group chooses in solving.

Adding a Sequence of numbers (Pairing Method)

Warm Ups {(2,0) (-1,3) (2,4)} 1. Write as table 2. Write as graph 3. Write as map 4. State domain & range 5. State the inverse.

3.4 Solving Multi-Step Equations Work backward is one of many problem-solving strategies that you can use. Here are some other problem-solving strategies:

© Hamilton Trust Keeping Up Term 1 Week 3 Day 3 Objectives: Subtract two-digit numbers from two-digit numbers and from numbers between 100 and 200 by counting.

Solve each equation and check the solution. 08 September 2015 Warm-Up.

Write and Graph Equations of Circles Chapter 10: Circles.

Chapter 3: Real Numbers and the Coordinate Plane.

2.2 Solving Two- Step Equations. Solving Two Steps Equations 1. Use the Addition or Subtraction Property of Equality to get the term with a variable on.

Problem Solving 1. Steps to world problem solving process 1. Understand the Problem 2. Devise a plan 3. Carry out the plan 4. Look back 5. MAKE SURE YOU.

 2012 Pearson Education, Inc. Slide Chapter 1 The Art of Problem Solving.

9.6 Solving Rational Equations and Inequalities. Solve the Rational Equation Check your Solution What is the Common Denominator of 24, 4 and (3 – x) 4.

Problem of the Day Problem of the Day Geometry Squares next.

Splash Screen. Concept Example 1 Second-Order Determinant Definition of determinant Multiply. = 4Simplify. Answer: 4 Evaluate.

Lesson 44 SWBAT represent hundreds as tens.. How can we represent 100?

Today we will be learning: to recognise and use patterns in subtraction to use patterns to solve further problems.

5.8 Radical Equations and Inequalities

The Art of Problem Solving

Warm Up Check the solution to these problems; are they correct? If not, correct them. 3 – x = -17; x = -20 x/5 = 6; x = 30.

Multiplying Decimals 3-6 & 3-7.

Consecutive Numbers Algebra I.

2-3: Solving Multi-Step Equations

Warm Up: SIMPLIFY.

Section 1-3 Chapter 1 Strategies for Problem Solving

Module 6 Writing and Solving Two Step Equations

MONDAY TUESDAY WEDNESDAY

Inequalities With Linear Systems

Hundred Dollar Questions

Solve Quadratic Systems

Warm-up Solve using the quadratic formula: 2x2 + x – 5 =0

Unit One: Patterns and Relations

7.4 Solve Linear Systems by Multiplying First

Write your agenda message No warm-up today Turn in:

Review: 6.5b Mini-Quiz 1. Solve: 9x2 – 100 = 0.

PRIME FACTORIZATION USING FACTOR TREES!.

Complex Number and Roots

Year 2 Autumn Term Week 9 Lesson 2

2 Activity 1: 5 columns Write the multiples of 2 into the table below. What patterns do you notice? Colour the odd numbers yellow and the even numbers.

Objective The student will be able to:

Year 2 Autumn Term Week 9 Lesson 2

6-7: Solving Radical Equations

Activity 1: 5 columns Write the multiples of 3 into the table below. What patterns do you notice? Colour the odd numbers yellow and the even numbers blue.

Activity 1: 5 columns Write the multiples of 9 into the table below. What patterns do you notice? Colour the odd numbers yellow and the even numbers blue.

Place Value Name: _____________________

How to Solve Equations using Factoring

Presentation transcript:

 Turn in homework for credit  Attendance5 min  Week 4 homework review15 min  Finding a Pattern20 min  In-Class Practice10 min

DDrawing a picture or diagram MMaking an organized list MMaking a table SSolving a simpler related problem FFinding a pattern GGuessing and checking EExperimenting AActing out the problem WWorking backwards WWriting an equation Today’s Topics Tree Diagram Organized list Make a table Solving simpler… Finding a pattern

Finding a Pattern  Most frequently used problem solving strategies.  Many times, it is used in conjunction with other problem solving strategies.

Odds and Ends Problem: What is the sum of the following series of numbers? … Consider the sums of a few simpler series: Pattern: The sum of each of the odd number series beginning with 1 is equal to the square of the number terms in the series. There are 50 odd numbers, so 50 2 = 2500 Answer: 2500 SERIESSUM

Connect the Dots Problem: Fifteen points are placed on a circle. How many straight line segments can be drawn by joining all the points in pairs? Pattern: The total number of line segments determined by 15 points is the sum of the counting numbers 1, 2, 3, …14 shown on the table. So, … + 14 = 105 segments. Number of points on circle123456…15 Number of new segments012345…14 Total number of segments …?

In-Class Practice Problem: If … = 385, what is the sum of … ? Solution: Series A … = 385 Series B … = ? Evaluate each term: Series A … = 385 Series B … = ? Series B = 4 x Series A = 4 x 385 = 1540

In-Class Practice Problem: What is the units digit of the product when one hundred 7s are multiplied? Solution: 7 = 7 7 x 7 = 49 7 x 7 x 7 = x 7 x 7 x 7 = x 7 x 7 x 7 x 7 = 16,807 7 x 7 x 7 x 7 x 7 x 7 = 117,649 The units digit repeats in cycle of four: 7, 9, 3, 1, 7, 9, 3, 1, … 100/4=25, so when one hundred 7s are multiplied, the unit digit is 1.