# Solving Linear Equations

Save this PDF as:
Size: px
Start display at page:

## Transcription

1 Solving Linear Equations Lesson: Solving Linear Equations Length: 45 minutes Age or Grade Level Intended: High School - 9 th grade Academic Standard(s): A1.2.1 Solve linear equations Performance Objective(s): Given linear equations, students will solve the equations using the appropriate methods with 90 percent accuracy. Assessment: Students will be given a worksheet on solving linear equations for homework. They will complete the homework and turn it in at the beginning of class the next day. Advanced Preparation by Teacher: The teacher will need to create a worksheet worth 20 points on solving linear equations to be given out for homework. The teacher will also need to prepare at least twenty incomplete math sentences for the board races and make sure there is enough chalk at the board. Procedure: Introduction- Board Races - Students will be paired up and asked to find a space at the chalk board. The teacher will then ask them to write down a predetermined incomplete math sentence. When the teacher says go, the students will work together as partners against the other pairs. Once a pair has completed the sentence, they will raise their hands. First pair to raise their hands and have the correct answer will receive one point. First pair to 5 points wins. Example incomplete math sentences: + 5 = 34-7 = = -2 3/2 + = 5/4 *Be sure to increase the difficulty as you go. (Gardner: Visual-Spatial, Logical-Mathematical, and Interpersonal Intelligences) Plan- 1. Ask the students what a equation is. (Bloom: Level I - Knowledge) 2. Define equation: An equation is two expressions set equal to each other. To demonstrate this, use a couple of the completed math sentences

2 from the Board Race activity. 3. Now define a linear equation: Is an equation that is in the form ax + b = c where a, b, and c are any value. The value of the unknown variable x is what we are looking for when solving linear equations. 4. How do you solve linear equations? (Bloom: Level III-Application) A) Simplify the equation by using the distribution property and combining like terms. B) Use addition and subtraction properties to get the variable term to one side by itself. Remember that what you do to one side, you must do the same to the other. C) Now use multiplication and division properties to isolate the variable (get x by itself). D) Plug the value you received for the variable (x) back into the original equation to check your answer. 5. Now give some examples of solving linear equations using these steps. Example 1-3x + 1 = 4 A) Simplify the equation. This equation is already simplified. 3x + 1 = 4 B) Get the variable term on one side by itself. 3x + 1 = Subtract 1 from both sides. 3x = 3 C) Isolate the variable. 3x = 3 3x/3 = 3/3 Divide each side by 3. x = 1 D) Check your answer. Plug the value of x back into the original equation. 3(1) + 1 = = 4 4 = 4 Example 2-2(x - 1) + x = 10 A) Simplify the equation. 2(x - 1) + x = 10 2x x = 10 Distribute the 3. 3x - 2 = 10 Combine like terms. B) Get the variable term on one side by itself. 3x - 2 = Add 2 to both sides. 3x = 12 C) Isolate the variable.

3 3x = 12 3x/3 = 12/3 Divide each side by 3. x = 4 D) Check your answer. 2(4-1) + 4 = 10 2(3) + 4 = = = 10 Example 3-10(x -2) + 2 = 6 + 2x A) Simplify the equation. 10(x -2) + 2 = 6 + 2x 10x = 6 + 2x Distribute the 10. Jessica Fauser 10x - 18 = 6 + 2x Combine like terms. B) Get the variable term on one side by itself. 10x - 18 = 6 + 2x -2x -2x Subtract 2x from both sides. 8x - 18 = Add 18 to both sides. 8x = 24 C) Isolate the variable. 8x = 24 8x/8 = 24/8 Divide each side by 8. x = 3 D) Check your answer. 10(3-2) + 2 = 6 + 2(3) 10(1) + 2 = 6 + 2(3) = = 12 Closure- Have the students pair back up, this time at their desks. Ask them to create and solve their own linear equation. Be sure to walk around and answer any questions they might have. Once they are done, pass out the worksheet on linear equations for homework. Have them complete it and turn in at the beginning of class the next day. (Bloom: Level V-Synthesis) (Gardner: Logical- Mathematical and Interpersonal Intelligences) Adaptations/Enrichments: Learning disabilities in reading comprehension - No reading from the book is required for this lessons. Instructions on how to solve linear equations are written on the board, however oral instructions are also given. ADHD - The board races at the beginning of the lesson allows this student to

4 move around. During the lesson, this student, if needed, can come up to the board to help solve the example problems. Gifts/Talents in Creativity - Encourage this student to lead their pair when it is time to create their own equation. Have the student think of a way to remember the steps in solving linear equations. Self-Reflection: Were the board races an effective attention getter? How time consuming were the board races? How many students understood this lesson? Are the students able to solve linear equations? Were the students able to create their own equations? Did the students cooperate with each other? How does this tie into the next lesson? Did I engage the whole class? What would I do differently next time to improve the lesson.

5 Name: Solving Linear Equations Worksheet *Point values for each question are in parentheses. 1.(4) List the steps for solving linear equations. Jessica Fauser Solve the following linear equations. Show all steps and be sure to check your work. 2.(2) 2x + 4 = 10 3.(2) 4(x - 2) + 3x = 20 4.(2) 5(x - 1) + 1 = 3 + 2x 5.(2) 12(3x + 1) = 24 6.(3) 2(3x - 7) + 4 (3 x + 2) = 6 (5 x + 9) + 3 Solve the following story problems by using linear equations. 7.(2) Together, Sally and Sam bought a total of 15 apples. If Sally bought 6 apples, how many did Sam buy? Use x as your variable to set up the equation, then solve. 8.(3) Billy is 12 years old. He is 4 times as old as his little brother. How old is Billy s little brother? Use x as your variable to set up the equation, then solve.

6 *KEY* Solving Linear Equations Worksheet *Point values for each question are in parentheses. 1.(4) List the steps for solving linear equations. 1) Simplify the equation. 2) Get the variable term on one side by itself. 3) Isolate the variable. 4) Check your answer. Solve the following linear equations. Show all steps and be sure to check your work. 2.(2) 2x + 4 = Check: 2x = 6 2(3) + 4 = 10 2x/2 = 6/ = 10 x = 3 10 = 10 3.(2) 4(x - 2) + 3x = 20 4x x = 20 Check: 7x - 8 = 20 4(4-2) + 3(4) = (2) + 3(4) = 20 7x = = 20 x = 4 20 = 20 4.(2) 5(x - 1) + 1 = 3 + 2x 5x = 3 + 2x Check: 5x - 4 = 3 + 2x 5(7/3-1) + 1 = 3 + 2(7/3) (4/3) + 1 = 3 +2(7/3) 5x = 7 + 2x 20/3 + 1 = /3-2x -2x 23/3 = 23/3 3x = 7 3x/3 = 7/3 x = 7/3 5.(2) 12(3x + 1) = 24 36x + 12 = 24 Check: [3(1/3) + 1] = 24 36x = 12 12(1 + 1) = 24 36x/36 = 12/36 12(2) = 24 x = 12/36 24 = 24 x = 1/3

7 6.(3) 2(3x - 7) + 4 (3 x + 2) = 6 (5 x + 5) Check: 6x x + 8 = 30x [3(-3) - 7] + 4[3(-3) + 2] = 6[5(-3) + 5] 18x - 6 = 30x (-9-7) + 4(-9 + 2) = 6( ) (-16) + 4(-7) = 6(-10) 18x = 30x = x -30x -60 = x = 36-12x/-12 = 36/-12 x = -36/12 x = -3 Solve the following story problems by using linear equations. 7.(2) Together, Sally and Sam bought a total of 15 apples. If Sally bought 6 apples, how many did Sam buy? Use x as your variable to set up the equation, then solve. 6 + x = 15 Check: = 15 Sam bought 9 apples. x = 9 15 = 15 8.(3) Billy is 12 years old. He is 4 times as old as his little brother. How old is Billy s little brother? Use x as your variable to set up the equation, then solve. 4x = 12 Check: 4x/4 = 12/4 4(3) = 12 Billy s brother is 3 years old. x = 3 12 = 12

8

9

### MANCHESTER COLLEGE Department of Education. Length: 25 minutes Grade Intended: Pre-Algebra (7 th )

LESSON PLAN by: Kyler Kearby Lesson: Multiplying and dividing integers MANCHESTER COLLEGE Department of Education Length: 25 minutes Grade Intended: Pre-Algebra (7 th ) Academic Standard: 7.2.1: Solve

### 6-3 Solving Systems by Elimination

Warm Up Simplify each expression. 1. 2y 4x 2(4y 2x) 2. 5(x y) + 2x + 5y Write the least common multiple. 3. 3 and 6 4. 4 and 10 5. 6 and 8 Objectives Solve systems of linear equations in two variables

### Allison Gallahan s Early Childhood Lesson Plan

Allison Gallahan s Early Childhood Lesson Plan Lesson: Big Book: Reading Maps Length: 20-30 minutes Age or Grade Level Intended: 2 nd Grade Academic Standard(s): Social Studies 2.3.2: The World in Spatial

### Performance Objective(s): After discussing nouns, the students will be able to identify the nouns in a sentence 8 out of 10 times accurately.

Lesson Plan By Jessica Grandlinard Lesson: Introducing Nouns and Verbs Length: 45 minutes Age or Grade Level Intended:2 nd Grade Sources: Inspiration from www.enchantedlearning.com and http://hayescc.dixie-net.com/links.htm

### Fractions and Linear Equations

Fractions and Linear Equations Fraction Operations While you can perform operations on fractions using the calculator, for this worksheet you must perform the operations by hand. You must show all steps

### No Solution Equations Let s look at the following equation: 2 +3=2 +7

5.4 Solving Equations with Infinite or No Solutions So far we have looked at equations where there is exactly one solution. It is possible to have more than solution in other types of equations that are

### Interdisciplinary Unit Plan. Algebra I Section. [5 Lesson Plans, 1 Test (w/ key)] Jesse Steffen

Interdisciplinary Unit Plan Algebra I Section [5 Lesson Plans, 1 Test (w/ key)] Jesse Steffen Lesson Plan #1 Introduction Lesson: Introduction/7-1 Length: 45 min Age or Grade Level Intended: Algebra 1

### Summer Assignment for incoming Fairhope Middle School 7 th grade Advanced Math Students

Summer Assignment for incoming Fairhope Middle School 7 th grade Advanced Math Students Studies show that most students lose about two months of math abilities over the summer when they do not engage in

### Lesson Plan #2. Performance Objective(s): Given a worksheet of 12 sentences, the 2 nd grade students will identify the action verb 9 out of 12 times.

Lesson Plan #2 Lesson: Action Verb Lesson with Book, Game, and Video Length: 45 minutes Age or Grade Level Intended: 2 nd Grade Source: Taken from www.lessonsnips.com and Emily Gallmeyer Academic Standard(s):

### Lesson Plan. Skills: Describe, model Knowledge: position, size, motion, earth, moon, sun, day, night, solar eclipse, lunar eclipse, phases, moon

Gallmeyer 1 Lesson Plan Lesson: Rotation of the Earth Length: 45 minutes Age or Grade Level Intended: 4 th Academic Standard(s): Science: Earth and Space: 6.2.1 Describe and model how the position, size

### Accommodated Lesson Plan on Solving Systems of Equations by Elimination for Diego

Accommodated Lesson Plan on Solving Systems of Equations by Elimination for Diego Courtney O Donovan Class: Algebra 1 Day #: 6-7 Grade: 8th Number of Students: 25 Date: May 12-13, 2011 Goal: Students will

### Solving Systems of Linear Equations Substitutions

Solving Systems of Linear Equations Substitutions Outcome (lesson objective) Students will accurately solve a system of equations algebraically using substitution. Student/Class Goal Students thinking

TM parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN KINDERGARTEN K America s schools are working to provide higher quality instruction than ever before. The way we taught students in the past simply

### Current California Math Standards Balanced Equations

Balanced Equations Current California Math Standards Balanced Equations Grade Three Number Sense 1.0 Students understand the place value of whole numbers: 1.1 Count, read, and write whole numbers to 10,000.

### Lines, Lines, Lines!!! Slope-Intercept Form ~ Lesson Plan

Lines, Lines, Lines!!! Slope-Intercept Form ~ Lesson Plan I. Topic: Slope-Intercept Form II. III. Goals and Objectives: A. The student will write an equation of a line given information about its graph.

### MATHEMATICS: REPEATING AND GROWING PATTERNS First Grade. Kelsey McMahan. Winter 2012 Creative Learning Experiences

MATHEMATICS: REPEATING AND GROWING PATTERNS Kelsey McMahan Winter 2012 Creative Learning Experiences Without the arts, education is ineffective. Students learn more and remember it longer when they are

### Solving Systems of Linear Equations Graphing

Solving Systems of Linear Equations Graphing Outcome (learning objective) Students will accurately solve a system of equations by graphing. Student/Class Goal Students thinking about continuing their academic

### Lesson 4: Convert Fractions, Review Order of Operations

Lesson 4: Convert Fractions, Review Order of Operations LESSON 4: Convert Fractions, Do Order of Operations Weekly Focus: fractions, decimals, percent, order of operations Weekly Skill: convert, compute

### A Concrete Introduction. to the Abstract Concepts. of Integers and Algebra using Algebra Tiles

A Concrete Introduction to the Abstract Concepts of Integers and Algebra using Algebra Tiles Table of Contents Introduction... 1 page Integers 1: Introduction to Integers... 3 2: Working with Algebra Tiles...

### Teaching & Learning Plans. Introduction to Equations. Junior Certificate Syllabus

Teaching & Learning Plans Introduction to Equations Junior Certificate Syllabus The Teaching & Learning Plans are structured as follows: Aims outline what the lesson, or series of lessons, hopes to achieve.

### The Indian in the Cupboard

The Indian in the Cupboard Jessica Lange Education 340 April 25, 2005 Theme: My chosen theme is The Indian in the Cupboard by Lynne Reid Banks. I would like my 4 th graders to study this theme for several

### Date Solving Multi-Step Word Problems Warm-Up

Date Solving Multi-Step Word Problems Warm-Up 3 rd grade CST Released Question: Review: On Friday, 1,250 people visited the The store sells flour in 1-lb, 5-lb, and zoo. Three times as many people 10-lb

### Lesson: Adjectives Length 50-55 minutes Age or Grade Intended 6 th grade special education (direct instruction)

LESSON PLAN by Lauren McCoy Lesson: Adjectives Length 50-55 minutes Age or Grade Intended 6 th grade special education (direct instruction) Academic Standard(s):. 6.6.2 Grammar Identify and properly use

### Lesson: Addition and Subtraction of Integers (single digits) Length 30-40 minutes

o LESSON PLAN by Lauren McCoy Lesson: Addition and Subtraction of Integers (single digits) Length 30-40 minutes q_ 1'J..~k Age or Grade Intended: 1.h grade resource kids (I know I'm an English major, but

### Algebra I Teacher Notes Expressions, Equations, and Formulas Review

Big Ideas Write and evaluate algebraic expressions Use expressions to write equations and inequalities Solve equations Represent functions as verbal rules, equations, tables and graphs Review these concepts

### Solving Equations Involving Parallel and Perpendicular Lines Examples

Solving Equations Involving Parallel and Perpendicular Lines Examples. The graphs of y = x, y = x, and y = x + are lines that have the same slope. They are parallel lines. Definition of Parallel Lines

.2 Methods of Addition Objectives Relate addition stories to number bonds. Write two addition facts for a given number bond. Solve picture problems using addition. Learn addition facts through, and the

### FEDERAL RESERVE BANKS OF ST. LOUIS AND PHILADELPHIA

FEDERAL RESERVE BANKS OF ST. LOUIS AND PHILADELPHIA ECONOMIC EDUCATION By Mercer Mayer / ISBN: 978-0-06-083557-6 Lesson Author Amanda Hughey, University of Delaware Standards and Benchmarks (see page 19)

### Click on the links below to jump directly to the relevant section

Click on the links below to jump directly to the relevant section What is algebra? Operations with algebraic terms Mathematical properties of real numbers Order of operations What is Algebra? Algebra is

### Solving Systems of Linear Equations Substitutions

Solving Systems of Linear Equations Substitutions Outcome (learning objective) Students will accurately solve a system of equations algebraically using substitution. Student/Class Goal Students thinking

### Linear Equations. 5- Day Lesson Plan Unit: Linear Equations Grade Level: Grade 9 Time Span: 50 minute class periods By: Richard Weber

Linear Equations 5- Day Lesson Plan Unit: Linear Equations Grade Level: Grade 9 Time Span: 50 minute class periods By: Richard Weber Tools: Geometer s Sketchpad Software Overhead projector with TI- 83

### IV. ALGEBRAIC CONCEPTS

IV. ALGEBRAIC CONCEPTS Algebra is the language of mathematics. Much of the observable world can be characterized as having patterned regularity where a change in one quantity results in changes in other

### LESSON 5 - DECIMALS INTRODUCTION

LESSON 5 - DECIMALS INTRODUCTION Now that we know something about whole numbers and fractions, we will begin working with types of numbers that are extensions of whole numbers and related to fractions.

### 5 Mathematics Curriculum

New York State Common Core 5 Mathematics Curriculum G R A D E GRADE 5 MODULE 1 Topic C Place Value and Rounding Decimal Fractions 5.NBT.4 Focus Standard: 5.NBT.4 Use place value understanding to round

### Curriculum Alignment Project

Curriculum Alignment Project Math Unit Date: Unit Details Title: Solving Linear Equations Level: Developmental Algebra Team Members: Michael Guy Mathematics, Queensborough Community College, CUNY Jonathan

### Exploring Probability: Permutations and Combinations. Table of Contents. Guided Practice 10. Independent Practice... 6 Lesson 2: Combinations.

Exploring Probability: Permutations and Combinations Table of Contents Introduction 1 Standards and Objectives..1 Instructional Delivery..1 Technology.. 1 Assessment..2 Reflection..2 Lesson 1: Permutations.3-4

### Direct Translation is the process of translating English words and phrases into numbers, mathematical symbols, expressions, and equations.

Section 1 Mathematics has a language all its own. In order to be able to solve many types of word problems, we need to be able to translate the English Language into Math Language. is the process of translating

### From the Webisode: Math Meets Fashion

lesson CCSS CONNECTIONS Percent Markups From the Webisode: Math Meets Fashion In this lesson, s solve a multi-step problem by identifying percent markups of a whole and calculating a final sale price.

### Solving Systems of Linear Equations Elimination (Addition)

Solving Systems of Linear Equations Elimination (Addition) Outcome (lesson objective) Students will accurately solve systems of equations using elimination/addition method. Student/Class Goal Students

### Lesson 3: Using Inequalities to Problem Solve

Lesson 3: Using Inequalities to Problem Solve Selected Content Standards Benchmarks Addressed: N-1-M Demonstrating that a rational number can be expressed in many forms, and selecting an appropriate form

### Accentuate the Negative: Homework Examples from ACE

Accentuate the Negative: Homework Examples from ACE Investigation 1: Extending the Number System, ACE #6, 7, 12-15, 47, 49-52 Investigation 2: Adding and Subtracting Rational Numbers, ACE 18-22, 38(a),

### Using Algebra Tiles for Adding/Subtracting Integers and to Solve 2-step Equations Grade 7 By Rich Butera

Using Algebra Tiles for Adding/Subtracting Integers and to Solve 2-step Equations Grade 7 By Rich Butera 1 Overall Unit Objective I am currently student teaching Seventh grade at Springville Griffith Middle

### Lesson 4: Solving and Graphing Linear Equations

Lesson 4: Solving and Graphing Linear Equations Selected Content Standards Benchmarks Addressed: A-2-M Modeling and developing methods for solving equations and inequalities (e.g., using charts, graphs,

### Teaching paraphrasing to year three (3) and four (4) students exhibiting reading difficulties will lead to increased reading comprehension

Teaching paraphrasing to year three (3) and four (4) students exhibiting reading difficulties will lead to increased reading comprehension Teaching Unit Paraphrasing Grade Level: Grade three and four students

### Contents. Sample worksheet from www.mathmammoth.com

Contents Introduction... 4 Warmup: Mental Math 1... 8 Warmup: Mental Math 2... 10 Review: Addition and Subtraction... 12 Review: Multiplication and Division... 15 Balance Problems and Equations... 19 More

### Time needed. Before the lesson Assessment task:

Formative Assessment Lesson Materials Alpha Version Beads Under the Cloud Mathematical goals This lesson unit is intended to help you assess how well students are able to identify patterns (both linear

### Adding and Subtracting Integers Unit. Grade 7 Math. 5 Days. Tools: Algebra Tiles. Four-Pan Algebra Balance. Playing Cards

Adding and Subtracting Integers Unit Grade 7 Math 5 Days Tools: Algebra Tiles Four-Pan Algebra Balance Playing Cards By Dawn Meginley 1 Objectives and Standards Objectives: Students will be able to add

### Using Proportions to Solve Percent Problems I

RP7-1 Using Proportions to Solve Percent Problems I Pages 46 48 Standards: 7.RP.A. Goals: Students will write equivalent statements for proportions by keeping track of the part and the whole, and by solving

### Tiered Assignments. Basic Tiered Activity Example: Completing a Character Map

Tiered Assignments In a differentiated classroom, a teacher uses varied levels of tasks to ensure that students explore ideas and use skills at a level that builds on what they already know and encourages

### Solving Linear Equations - General Equations

1.3 Solving Linear Equations - General Equations Objective: Solve general linear equations with variables on both sides. Often as we are solving linear equations we will need to do some work to set them

WARDEN AVE P.S. Adding & Subtracting Integers Number Sense & Numeration Unit #1 Grade 7 Math 2014-2015 School Year This mini-unit will run from September 15-26 and must be handed in on Friday Sept. 26th

### Math Common Core Sampler Test

High School Algebra Core Curriculum Math Test Math Common Core Sampler Test Our High School Algebra sampler covers the twenty most common questions that we see targeted for this level. For complete tests

### Grade 4 - Module 5: Fraction Equivalence, Ordering, and Operations

Grade 4 - Module 5: Fraction Equivalence, Ordering, and Operations Benchmark (standard or reference point by which something is measured) Common denominator (when two or more fractions have the same denominator)

### Algebra Unit Plans. Grade 7. April 2012. Created By: Danielle Brown; Rosanna Gaudio; Lori Marano; Melissa Pino; Beth Orlando & Sherri Viotto

Algebra Unit Plans Grade 7 April 2012 Created By: Danielle Brown; Rosanna Gaudio; Lori Marano; Melissa Pino; Beth Orlando & Sherri Viotto Unit Planning Sheet for Algebra Big Ideas for Algebra (Dr. Small)

### Linear Equations and Inequalities

Linear Equations and Inequalities Section 1.1 Prof. Wodarz Math 109 - Fall 2008 Contents 1 Linear Equations 2 1.1 Standard Form of a Linear Equation................ 2 1.2 Solving Linear Equations......................

### 3.1. RATIONAL EXPRESSIONS

3.1. RATIONAL EXPRESSIONS RATIONAL NUMBERS In previous courses you have learned how to operate (do addition, subtraction, multiplication, and division) on rational numbers (fractions). Rational numbers

### Me, Myself, and I. Subject: Language Arts: Writing. Level: Grade 3

Grade 3 Lesson Plan Subject: Language Arts: Writing Level: Grade 3 Me, Myself, and I Abstract: In this lesson, students will write their life story. Reflecting on a series of key questions, students will

### Objective To guide the development and use of a rule for generating equivalent fractions. Family Letters. Assessment Management

Equivalent Fractions Objective To guide the development and use of a rule for generating equivalent fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

### Solving Systems of Linear Equations Putting it All Together

Solving Systems of Linear Equations Putting it All Together Outcome (lesson objective) Students will determine the best method to use when solving systems of equation as they solve problems using graphing,

### EE6-5 Solving Equations with Balances Pages 77 78

EE6-5 Solving Equations with Balances Pages 77 78 STANDARDS 6.EE.B.5, 6.EE.B.6 Goals Students will use pictures to model and solve equations. Vocabulary balance equation expression sides (of an equation)

T276 Mathematics Success Grade 6 [OBJECTIVE] The student will add and subtract with decimals to the thousandths place in mathematical and real-world situations. [PREREQUISITE SKILLS] addition and subtraction

### Grade 7 & 8 Math Circles October 19, 2011 Prime Numbers

1 University of Waterloo Faculty of Mathematics Centre for Education in Mathematics and Computing Grade 7 & 8 Math Circles October 19, 2011 Prime Numbers Factors Definition: A factor of a number is a whole

### Multiplication Unit Plan. Katie Kramer Spring 2013

1 Multiplication Unit Plan Katie Kramer Spring 2013 2 Class: Fifth Grade math with integration of Language Arts. Background: This unit covers the topic of multiplication in math. This unit asks students

### Part A: Fill in the blanks below with whole numbers greater than 1 that will make the number sentences true.

New York State Testing Program Mathematics Common Core Sample Questions Grade3 The materials contained herein are intended for use by New York State teachers. Permission is hereby granted to teachers and

### The Most Widely Used. Mathematics Textbook Series in Japan is Now in English! Introducing Tokyo Shoseki s. and

The Most Widely Used Mathematics Textbook Series in Japan is Now in English! Introducing Tokyo Shoseki s Mathematics International (Elementary School, s 1 to 6) and Mathematics International (Lower Secondary

### Vieta s Formulas and the Identity Theorem

Vieta s Formulas and the Identity Theorem This worksheet will work through the material from our class on 3/21/2013 with some examples that should help you with the homework The topic of our discussion

### Slope-Intercept Form of a Linear Equation Examples

Slope-Intercept Form of a Linear Equation Examples. In the figure at the right, AB passes through points A(0, b) and B(x, y). Notice that b is the y-intercept of AB. Suppose you want to find an equation

### Unit 5 Length. Year 4. Five daily lessons. Autumn term Unit Objectives. Link Objectives

Unit 5 Length Five daily lessons Year 4 Autumn term Unit Objectives Year 4 Suggest suitable units and measuring equipment to Page 92 estimate or measure length. Use read and write standard metric units

### Verbal Phrases to Algebraic Expressions

Student Name: Date: Contact Person Name: Phone Number: Lesson 13 Verbal Phrases to s Objectives Translate verbal phrases into algebraic expressions Solve word problems by translating sentences into equations

### Suggested Grade 1 2 Lesson Plan Students Rights and Responsibilities

Suggested Grade 1 2 Lesson Plan Students Rights and Responsibilities Lesson 1 My Rights and Responsibilities Grade 1 st and 2 nd Objective: The students will discuss and summarize their rights and responsibilities

### Lesson 1: Review of Decimals: Addition, Subtraction, Multiplication

LESSON 1: REVIEW OF DECIMALS: ADDITION AND SUBTRACTION Weekly Focus: whole numbers and decimals Weekly Skill: place value, add, subtract, multiply Lesson Summary: In the warm up, students will solve a

### F.IF.7b: Graph Root, Piecewise, Step, & Absolute Value Functions

F.IF.7b: Graph Root, Piecewise, Step, & Absolute Value Functions F.IF.7b: Graph Root, Piecewise, Step, & Absolute Value Functions Analyze functions using different representations. 7. Graph functions expressed

### Counting Change and Changing Coins

Grade Two Counting Change and Changing Coins Content Standards Overview Students share the book The Penny Pot, by Stuart J. Murphy, to learn about choices, producers and consumers, and counting money.

### Division of whole numbers is defined in terms of multiplication using the idea of a missing factor.

32 CHAPTER 1. PLACE VALUE AND MODELS FOR ARITHMETIC 1.6 Division Division of whole numbers is defined in terms of multiplication using the idea of a missing factor. Definition 6.1. Division is defined

### Opposites are all around us. If you move forward two spaces in a board game

Two-Color Counters Adding Integers, Part II Learning Goals In this lesson, you will: Key Term additive inverses Model the addition of integers using two-color counters. Develop a rule for adding integers.

### Objectives To review making ballpark estimates; and to review the counting-up and trade-first subtraction algorithms. materials. materials.

Objectives To review making ballpark estimates; and to review the counting-up and trade-first subtraction algorithms. Teaching the Lesson materials Key Activities Children make ballpark estimates for -digit

### Money Unit \$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$ First Grade

Number Sense: By: Jenny Hazeman & Heather Copiskey Money Unit \$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$\$ First Grade Lesson 1: Introduction to Coins (pennies, nickels, dimes) The Coin Counting Book by Roxanne Williams A

### FINAL SIOP LESSON PLAN. Preparation

Name: Stephanie Hart DOMINICAN UNIVERSITY OF CALIFORNIA FINAL SIOP LESSON PLAN Content Area: Mathematics, Solving Inequalities Grade Level: 8 English Learners: This is a sheltered class within a mainstream

### RACE TO CLEAR THE MAT

RACE TO CLEAR THE MAT NUMBER Place Value Counting Addition Subtraction Getting Ready What You ll Need Base Ten Blocks, 1 set per group Base Ten Blocks Place-Value Mat, 1 per child Number cubes marked 1

### Lesson Plan. General Information: Level: Secondary 1 Number of students: 40 Time: 35 minutes Topic: Present Perfect Tense

General Information: Level: Secondary 1 Number of students: 40 Time: 35 minutes Topic: Present Perfect Tense Lesson Plan Students Prior Knowledge: Students have learned the Simple Past Tense and briefly

### Algebra I. In this technological age, mathematics is more important than ever. When students

In this technological age, mathematics is more important than ever. When students leave school, they are more and more likely to use mathematics in their work and everyday lives operating computer equipment,

### Lesson 4. Factors and Multiples. Objectives

Student Name: Date: Contact Person Name: Phone Number: Lesson 4 Factors and Multiples Objectives Understand what factors and multiples are Write a number as a product of its prime factors Find the greatest

### Date: 06.02.2014 Teacher: Vildan Sertkaya, Çiğdem Özdemir Number of Students: Grade Level: 11 (HL- TM) Time Frame: 80 minutes Summation Notation

Date: 06.02.2014 Teacher: Vildan Sertkaya, Çiğdem Özdemir Number of Students: Grade Level: 11 (HL- TM) Time Frame: 80 minutes Summation Notation 1. Goal(s) Students will understand the summation notation

### Name of Lesson: Properties of Equality A Review. Mathematical Topic: The Four Properties of Equality. Course: Algebra I

Name of Lesson: Properties of Equality A Review Mathematical Topic: The Four Properties of Equality Course: Algebra I Time Allocation: One (1) 56 minute period Pre-requisite Knowledge: The students will

### Foundations For Learning. Intermediate Phase Mathematics Lesson plans

GRADE 5 MATHEMATICS Third Term Lesson Plan Foundations For Learning Intermediate Phase Mathematics Lesson plans Third term Grade 5 1 Kindly send any response that you may have to: Dr Jennifer J Joshua

### Polynomials and Factoring. Unit Lesson Plan

Polynomials and Factoring Unit Lesson Plan By: David Harris University of North Carolina Chapel Hill Math 410 Dr. Thomas, M D. 2 Abstract This paper will discuss, and give, lesson plans for all the topics

### Program Overview. This guide discusses Language Central for Math s program components, instructional design, and lesson features.

Program Overview Introduction This guide discusses Language Central for Math s program components, instructional design, and lesson features. What is Language Central for Math? Program Components Language

### Lesson 2: How to Give Compliments to Tutees

Kids As Reading Helpers: A Peer Tutor Training Manual Copyright 2002 by Jim Wright www.interventioncentral.org L2-1 Lesson 2: How to Give Compliments to Tutees Introduction When correctly used, compliments

### Lesson Plan -- Percent of a Number/Increase and Decrease

Lesson Plan -- Percent of a Number/Increase and Decrease Chapter Resources - Lesson 4-11 Find a Percent of a Number - Lesson 4-11 Find a Percent of a Number Answers - Lesson 4-12 Percent of Increase and

### Solving Rational Equations

Lesson M Lesson : Student Outcomes Students solve rational equations, monitoring for the creation of extraneous solutions. Lesson Notes In the preceding lessons, students learned to add, subtract, multiply,

### Lesson 4: Efficiently Adding Integers and Other Rational Numbers

Classwork Example 1: Rule for Adding Integers with Same Signs a. Represent the sum of 3 + 5 using arrows on the number line. i. How long is the arrow that represents 3? ii. iii. How long is the arrow that

### Community Thematic Unit Plan 2 nd Grade

Page 1 Community Thematic Unit Plan 2 nd Grade Allison Moore EDUC 327 December 11, 2009 Page 2 Table of Contents Page Introductory Sheet 3 Standards... 8 Curriculum map.. 11 Letter to parents.. 12 Trade

Ohio Standards Connection Patterns, Functions and Algebra Benchmark E Solve open sentences and explain strategies. Indicator 4 Solve open sentences by representing an expression in more than one way using

### The Distributive Property

The Distributive Property Objectives To recognize the general patterns used to write the distributive property; and to mentally compute products using distributive strategies. www.everydaymathonline.com

### Study Guide. Developing Literate Mathematicians: A Guide for Integrating Language and Literacy Instruction into Secondary Mathematics

Study Guide Developing Literate Mathematicians: A Guide for Integrating Language and Literacy Instruction into Secondary Mathematics Wendy Ward Hoffer The purpose of the book, Developing Literate Mathematicians,

### Understanding Income and Expenses EPISODE # 123

Understanding Income and Expenses EPISODE # 123 LESSON LEVEL Grades 4-6 KEY TOPICS Entrepreneurship Income and expenses Cash flow LEARNING OBJECTIVES 1. Understand what your income and expenses are. 2.

### 2 Mathematics Curriculum

New York State Common Core 2 Mathematics Curriculum GRADE GRADE 2 MODULE 3 Topic C: Read and Write Three Digit Numbers Within 1000 in Unit, Numeral, Expanded, and Word Forms 2.NBT.3, 2.NBT.1 Focus Standard:

### www.breaking News English.com Ready-to-use ESL / EFL Lessons

www.breaking News English.com Ready-to-use ESL / EFL Lessons 1,000 IDEAS & ACTIVITIES FOR LANGUAGE TEACHERS The Breaking News English.com Resource Book http://www.breakingnewsenglish.com/book.html Clever