Problem Solving With Equations For 4 th Grade Math Club Cherry Crest Elementary School Bellevue, WA Dejun Zhou Nov. 04, 2014.

Slides:

Advertisements

Similar presentations

Function rules and Other Tight Math Stuff Mr Streety’s 7th Grade Class

Advertisements

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 9–6) Main Idea and Vocabulary Example 1:One Solution Example 2:No Solution Example 3:Infinitely.

Equal Values Method. Since we want to know when the weights (y) are equal, the right sides need to be equal too. Example: Chubby Bunny Barbara has a bunny.

Algebra I Concept Test # 4 – Single Variable Word Prob. Practice Test

Two-Step Story Problems Our Goal: Solve problems that require more than one solution step.

Problem Solving Strategies

Using Tape Diagrams to Solve Ratio Problems © Hall's Happenings.

2.1 Addition Combinations Objective: I can use addition combinations to solve addition problems using mental math.

Solving Equations. Equations contain an equal sign (or inequality) and at least one variable.

Combining Like Terms Students will identify like terms and combine like terms to solve problems.

Solving Linear Equations

Laurell Scott. Teacher Information  Subject: Mathematics  Grade level: First  Summary: The purpose of this power point is to allow the student to practice.

Solving Equations. Equations contain an equal sign (or inequality) and at least one variable.

Step 1: Simplify Both Sides, if possible Distribute Combine like terms Step 2: Move the variable to one side Add or Subtract Like Term Step 3: Solve for.

1 Applications of Linear Equations. 2 Step 1 Read the problem, several times if necessary, until you understand what is given and what is to be found.

3.5 Solving systems of equations in 3 variables

5.3 Solving Systems using Elimination

Probability & Statistics

Linear Equations A system of linear equations in some variables A solution to the system is a tuple A system in consistent if it has a solution. Otherwise.

Algebra Using Algebraic Methods to Solve Linear Systems

7.3 Solving Systems of Equations by Elimination (Addition & Subtraction) Solve by Elimination Example Problems Practice Problems.

Section 3.6 Writing Equations for Story Problems.

HW # 17- * Mastering the Standards p. 58 & 59 # 1-22 all What is X? Defined by your peers. Week 4, Day Four – Friday, October 5 th 2012 X is a letter that.

Section 3.4 Solving Equations with Variables on Both Sides Mr. Beltz & Mr. Sparks.

Module 2 Topic A Lesson 3 Metric Unit Conversions

{ Adding Fractions November 3, I will add fractions with unlike units using the strategy of creating equivalent fractions GOAL:

Math Grade 4 Mrs. Ennis Standard Units of Measurement Lesson Thirty-One.

Bell Work 1. 2(x +4) – 5(9n – 9) 3. 3(x – 6) x

Page 500 #15-32 ANSWERS.

3.1 – SOLVING EQUATIONS BY USING ADDITION AND SUBTRACTION.

Algebraic expression Solving for the variable Or X.

5 Minute Check InIn your .

Solving Addition and Subtraction Equations Which word do you think “Equation” has a connection to?

MA.912.A.3.1: Solve linear equations in one variable that include simplifying algebraic expressions. What is the value of x in the equation below? 3(x.

© 2007 M. Tallman. 130, ,000 = 70,000 The following pattern of subtraction is related to a basic math fact: = =

Notes – 2/13 Addition Method of solving a System of Equations Also called the Elimination Method.

One step equations Add Subtract Multiply Divide  When we solve an equation, our goal is to isolate our variable by using our inverse operations.  What.

Solving Addition Equations SWBAT solve addition equations using the subtraction property of equality.

One Step Equation To solve one step equations, you have to use the inverse operation to get the variable alone. Example:

ALGEBRA TILES SOLVING EQUATIONS Replace the equation with tiles: Negative Positive -X X 1.

FIRST GRADE ADDITION Keri Haws. First Grade Mathematics Rubric Number Sequence and Operations Identifies numbers Writes numbers Understands.

Patterns and Algebra L1: Evaluating Algebraic Expressions and Equations L2: Solving Algebraic Expressions.

2-8 Translate Words into Math Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Continue the sequence 1. ½, 1, 2, 4, 8, __, __, __ 2. __, 5, 9, 13, __, __, , 55, __, 15, __, __ 4. 8, 27, 103, __ 5 Minutes Remain.

6.23 I will model & solve addition equations Solve the problems + 4 = = 12 How did you know the answer?

 Solve the equation 2x y = 3x + 7y  Graph  Y= 2x + 3.

Pre-Algebra 10-2 Solving Multistep Equations 10-2 Solving Multistep Equations Pre-Algebra Homework & Learning Goal Homework & Learning Goal Lesson Presentation.

Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

Solving Addition and Subtraction Equations An equation is a mathematical sentence that contains an equal sign.

Jeopardy FractionsMeasurementTimeMoneyOperations

1.a) Translate the equation: Eight more than three times a number is 20. 3x + 8 = 20 3x = 12 − 8 x = b) Solve the equation. 3x + 8 = 20 Subtract.

Mad Minute You have 1 minute to add the last two numbers each time.

7 Linear Equations in Two Unknowns

Linear Equations in Two Unknowns

Word Problem Structures

SOLVING ONE-STEP EQUATIONS

There are 12 cows on a farm. How many legs and eyes do the cows have?

Multiplying or Dividing 1-3

Mixture Problems In two variables.

Do Now 1) t + 3 = – 2 2) 18 – 4v = 42.

Multi-Step Equations TeacherTwins©2014.

Solving systems of equations

Multi-Step Equations TeacherTwins©2014.

- Finish Unit 1 test - Solving Equations variables on both sides

Think about… How is an equation like a balance scale?

Review For Unit 1- Quiz #3 Interpreting Expressions

5.2 Substitution Try this one: x = 4y y = 5x 4x – y = 75 2x + 3y = 34

Equations Mrs. Wallace Math.

Solving Systems by ELIMINATION

Presentation transcript:

Problem Solving With Equations For 4 th Grade Math Club Cherry Crest Elementary School Bellevue, WA Dejun Zhou Nov. 04, 2014

Solving Equations with One Variable:

Step 1: Step 2: Step 3:

Step 1: Step 2: Step 3:

Practical Question Solving #1 (2008 AMC8 question #3) Mr. Harman needs to know the combined weight in pounds of three boxes he wants to mail. However, the only available scale is not accurate for weights less than 100 pounds or more than 150 pounds. So the boxes are weighed in pairs in every possible way. The results are 122, 125 and127pounds. What is the combined weight in pounds of the three boxes? Assuming the 3 boxes weigh x, y, z pound respectively There is a simpler way too!

Practical Question Solving #2 (2009 AMC8 question #23) On the last day of school, Mrs. Wonderful gave jelly beans to her class. She gave each boy as many jelly beans as there were boys in the class. She gave each girl as many jelly beans as there were girls in the class. She brought 400 jelly beans, and when she finished, she had six jelly beans left. There were two more boys than girls in her class. How many students were in her class? Assuming there are x boys and y girls 1. Assuming the answer is (C), then x = 16, y = 14. However, 16* *14+6 = 458 > 400, the answer has to be (A) or (B). 2. Assuming the answer is (A), then x = 14, y = * *12 +6 = 346 < 400, so the answer can’t be (A). 3. Verify (B) is the answer. x = 15, y = 13, 15* *13+6 = 400. Bingo!!!

Practical Question Solving #3 (2012 AMC8 question #9) The Fort Worth Zoo has a number of two-legged birds and a number of four-legged mammals. On one visit to the zoo, Margie counted 200 heads and 522 legs. How many of the animals that Margie counted were two-legged birds? Assuming the number of birds is x, and number of mammals is y To solve this, we need to reduce the variable to only x

Tests 15 minutes Problem 1: Amy tried to put a pile of apples into a few buckets. Each bucket need to have same number of apples. If she put 10 apples in each bucket, there are 8 apples left. 2 apples remaining if she put 11 apples into each bucket. How many buckets does Amy have? Problem 2: In a group of dogs and their owners, there are exactly 20 heads and 64 legs. How many dogs are in the group? Problem 3: If you triple Jen’s age and subtract 16, the result will be the same as when you double her age and add 8. How old is Jen?

Summary Math is Fun! 1.Assign variable to unknown values 2.Build same number of unique equations as the number of variables 3.Solve variables by building new equations which contains only one variable.