You can use the properties of operations to help you simplify numerical expressions more easily. Properties of Addition. Properties of Multiplication


 Corey Taylor
 2 years ago
 Views:
Transcription
1 ? Name 1.1 ALGEBRA Properties Essential Question How can you use properties of operations to solve problems? Number and Operations 5.3.K MATHEMATICAL PROCESSES 5.1.C, 5.1.G You can use the properties of operations to help you simplify numerical expressions more easily. Properties of Addition Commutative Property of Addition If the order of addends changes, the sum stays the same. Associative Property of Addition If the grouping of addends changes, the sum stays the same. Identity Property of Addition The sum of any number and 0 is that number = (8 + 14) = (5 + 8) = 13 Properties of Multiplication Commutative Property of Multiplication If the order of factors changes, the product stays the same. Associative Property of Multiplication If the grouping of factors changes, the product stays the same. Identity Property of Multiplication The product of any number and 1 is that number. 4 9 = (3 6) = (11 3) = 4 Unlock the Problem The table shows the number of bones in several parts of the human body. What is the total number of bones in the ribs, the skull, and the spine? To find the sum of addends using mental math, you can use the Commutative and Associative Properties. Use properties to find Part Number of Bones Ankle 7 Ribs 24 Skull 28 Spine = 28 + _ + 26 = 28 + (24 + _ ) Use the Property to reorder the addends. Use the Property to group the addends. = 28 + _ Use mental math to add. = _ So, there are _ bones in the ribs, the skull, and the spine. Math Talk Mathematical Processes Explain why grouping 24 and 26 makes the problem easier to solve. Module 1 5
2 Distributive Property Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. 5 (7 + 9) = (5 7) + (5 9) The Distributive Property can also be used with multiplication and subtraction. For example, 2 (10 8) = (2 10) (2 8). Example Use the Distributive Property to find the product. One Way Use addition = 8 ( _ + 9) = (_ 50) + (8 _) = _ + _ = _ Another Way Use subtraction = 8 ( _ 1) Use a multiple of 10 to write 59 as a sum. Use the Distributive Property. Use mental math to multiply. Use mental math to add. Use a multiple of 10 to write 59 as a difference. = ( _ 60) (8 _ ) = _ _ = _ Share and Show Use the Distributive Property. Use mental math to multiply. Use mental math to subtract. Math Talk Mathematical Processes Explain how you could find the product by using mental math. 1. Use properties to find _ 25 Property of Multiplication 23 ( _ _ ) 23 Property of Multiplication Use properties to find the sum or product
3 Name Problem Solving Practice: Copy and Solve Use properties to find the sum or product Complete the equation, and tell which property you used (19 + 6) = (11 + _ ) = _ Show how you can use the Distributive Property to rewrite and find (32 6) + (32 4). Problem Solving 11. MultiStep Three friends meals at a restaurant cost $13, $14, and $11. Use parentheses to write two different expressions and find how much the friends spent in all. Which property does your pair of expressions demonstrate? Fancy Guppy Prices 12. MultiStep Jacob is designing an aquarium for a doctor s office. He plans to buy 6 red blond guppies, 1 blue neon guppy, and 1 yellow guppy. The table shows the price list for the guppies. How much will the guppies for the aquarium cost? Blue neon Red blond Sunrise Yellow $11 $22 $18 $ Sense or Nonsense? Julie wrote (15 6) 3 = 15 (6 3). Is Julie s equation sense or nonsense? Do you think the Associative Property works for subtraction? Explain. Module 1 Lesson 1 7
4 Daily Assessment Task Mathematical Processes Fill in the bubble completely to show your answer. 14. Connect In a flea circus, 12 fleas pull carts, 23 fleas ride on tiny bicycles, and 18 fleas sit on seesaws. You can add to find the total number of fleas. Which equation shows the Commutative Property of Addition? A = B = ( ) + 18 C = 12 + ( ) D = Use Symbols Complete the equation ( ) = (15 + ) + 27 A 40 C 10 B 25 D MultiStep Nick read 24 pages in his book one day, 29 pages the next day, and 16 pages on the third day. Megan read 26 pages for three days in a row. Who read more pages? How many more? A B C D Megan read 9 more pages. Megan read 11 more pages. Nick read 9 more pages. Megan read 11 more pages. 8 TEXAS Test Prep 17. Canoes rent for $29 per day. Which expression can be used to find the cost in dollars of renting 6 canoes for a day? A (6 + 20) + (6 + 9) B (6 20) + (6 9) C (6 + 20) (6 + 9) D (6 20) (6 9)
5 Homework and Practice Name Number and Operations 5.3.K MATHEMATICAL PROCESSES 5.1.C, 5.1.G 1.1 Properties Use properties to find the sum or product Complete the equation, and tell which property you used = _ (70 + 8) = (16 + _ )+ 8 Problem Solving 6. Maggie s class bought three books at the book fair. The books cost $15, $9, and $12. Use parentheses to write two different expressions and find how much the class spent in all. Which property does the pair of expressions demonstrate? 7. Leo s basketball team makes 16 points in the first game, 22 points in the second game, and 18 points in the third game. Use the Associative Property of Addition to show two different ways Leo can group the addends to show the total number of points. Module 1 Lesson 1 9
6 Lesson Check TEXAS Test Prep Fill in the bubble completely to show your answer. 8. Which property is shown by the following equation? 44 + ( ) = ( ) Janel rakes leaves for $8 per lawn. Which expression can be used to find the amount she earns if she rakes 14 lawns? A B C D Commutative Property of Addition Associative Property of Addition Identity Property of Addition Distributive Property A (8 + 10) (8 + 4) B (8 + 10) + (8 + 4) C (8 10) (8 4) D (8 10) + (8 4) 10. Sara bought 7 tickets to the school play. Each ticket costs $11. To find the total cost in dollars, she added the product 7 1 to the product 7 10, for a total of $77. Which property did Sara use? A B C Commutative Property of Multiplication Associative Property of Multiplication Identity Property of Multiplication 11. There are 6 granola bars in each box. Which expression can be used to find the number of granola bars in a dozen boxes? A (6 + 10) (6 + 2) B (6 10) + (6 2) C (6 + 10) + (6 + 2) D (6 10) (6 2) D Distributive Property 12. MultiStep Kara s garden has 4 sections. Each section has 7 rows of carrots and 9 rows of celery. How many rows are in the garden? A 64 B 56 C 20 D MultiStep Max s school bought boxes of pencils. Each box holds 12 pencils. The fourth grade classes need 25 boxes. The fifth grade classes need 22 boxes. How many pencils are needed by both grades? A 300 B 264 C 564 D
Math Journal HMH Mega Math. itools Number
Lesson 1.1 Algebra Number Patterns CC.3.OA.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. Identify and
More information63 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
More informationEvaluate and Simplify Algebraic Expressions
1.2 Evaluate and Simplify Algebraic Expressions Before You studied properties of real numbers. Now You will evaluate and simplify expressions involving real numbers. Why? So you can estimate calorie use,
More informationUsing Proportions to Solve Percent Problems I
RP71 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
More informationOpposites are all around us. If you move forward two spaces in a board game
TwoColor Counters Adding Integers, Part II Learning Goals In this lesson, you will: Key Term additive inverses Model the addition of integers using twocolor counters. Develop a rule for adding integers.
More informationMath Content by Strand 1
Math Content by Strand 1 Number and Operations: Whole Numbers Addition and Subtraction and the Number System Kindergarten Young students develop their understanding of the operations of addition and subtraction
More information14.2. Degrees. Example 1 Use fractional parts to find. Unlock the Problem. Math Talk. Essential Question. Name
? Name. Essential Question Degrees How are degrees related to fractional parts of a circle? Geometry and Measurement.7.B Also.7.A MATHEMATICAL PROCESSES..A,..F,..G Connect You can use what you know about
More information1 Mathematics Curriculum
New York State Common Core 1 Mathematics Curriculum G R A D E GRADE 1 MODULE 1 Topic F Development of Addition Fluency Within 10 1.OA.3, 1.OA.6 Focus Standard: 1.OA.3 Apply properties of operations as
More information5 1 d. 2.5? t. 10 more than the. the sum of 10x and 7z quotient of x and 4. product of 3 and x
 Practice Form G Variables and Expressions Write an algebraic expression for each word phrase.. 0 less than x. 5 more than d x 0 5 d. 7 minus f. the sum of and k 7 f k 5. x multiplied by 6 6. a number
More information16.4. Multiply and Divide Money. Example 1 Mrs. Cleary wants to buy books for. Example 2 Mrs. Cleary paid $584 for 8 cases of a popular
? Name 16.4 Essential Question Multiply and ivide Money How can you use multiplication and division in problems involving money? Geometry and Measurement 4.8. MTHEMTIL PROESSES 4.1., 4.1., 4.1.G Unlock
More informationClick 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
More information1 ENGAGE. 2 TEACH and TALK GO. Round to the Nearest Ten or Hundred
Lesson 1.2 c Round to the Nearest Ten or Hundred Common Core Standard CC.3.NBT.1 Use place value understanding to round whole numbers to the nearest 10 or 100. Lesson Objective Round 2 and 3digit numbers
More informationUnit 3: Algebra. Date Topic Page (s) Algebra Terminology 2. Variables and Algebra Tiles 3 5. Like Terms 6 8. Adding/Subtracting Polynomials 9 12
Unit 3: Algebra Date Topic Page (s) Algebra Terminology Variables and Algebra Tiles 3 5 Like Terms 6 8 Adding/Subtracting Polynomials 9 1 Expanding Polynomials 13 15 Introduction to Equations 16 17 One
More informationOA310 Patterns in Addition Tables
OA310 Patterns in Addition Tables Pages 60 63 Standards: 3.OA.D.9 Goals: Students will identify and describe various patterns in addition tables. Prior Knowledge Required: Can add two numbers within 20
More informationLesson Plan  Percent of a Number/Increase and Decrease
Lesson Plan  Percent of a Number/Increase and Decrease Chapter Resources  Lesson 411 Find a Percent of a Number  Lesson 411 Find a Percent of a Number Answers  Lesson 412 Percent of Increase and
More informationCommon Core State Standards for Math Grades K  7 2012
correlated to the Grades K  7 The Common Core State Standards recommend more focused and coherent content that will provide the time for students to discuss, reason with, reflect upon, and practice more
More informationGrade 5: Multiplication of Whole Numbers = =
5.3.1 Name Grade 5: Multiplication of Whole Numbers 1. Write in expanded form and word form. 2687.34 = 7587.36 = 2. Mary wanted to know about how much money she would need to buy 8 boxes of crayons at
More informationMultiplication and Division of Positive and Negative Numbers
Multiplication and Division of Positive Objective o develop and apply rules for multiplying and dividing positive and www.everydaymathonline.com epresentations eoolkit Algorithms Practice EM Facts Workshop
More informationAlgebra Word Problems
WORKPLACE LINK: Nancy works at a clothing store. A customer wants to know the original price of a pair of slacks that are now on sale for 40% off. The sale price is $6.50. Nancy knows that 40% of the original
More informationClifton High School Mathematics Summer Workbook Algebra 1
1 Clifton High School Mathematics Summer Workbook Algebra 1 Completion of this summer work is required on the first day of the school year. Date Received: Date Completed: Student Signature: Parent Signature:
More informationMathematics Common Core Sample Questions
New York State Testing Program Mathematics Common Core Sample Questions Grade The materials contained herein are intended for use by New York State teachers. Permission is hereby granted to teachers and
More informationCurrent 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.
More informationExpressions and Equations
Expressions and Equations Standard: CC.6.EE.2 Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation Subtract y from 5 as 5 y.
More informationProblem of the Month The Wheel Shop
Problem of the Month The Wheel Shop The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common Core
More informationAdding With Three or More Addends
Adding With Three or More Addends Student Probe Give students the following problem and ask them to solve it. Three students got on the bus at the 1 st stop. Four more students got on the bus at the 2
More informationCommutative Property Grade One
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
More informationFrom the Webisode: Math Meets Fashion
lesson CCSS CONNECTIONS Percent Markups From the Webisode: Math Meets Fashion In this lesson, s solve a multistep problem by identifying percent markups of a whole and calculating a final sale price.
More informationLesson Plan Shipping Grade 6 Solving Equations
CCSSM: Grade 6 DOMAIN: Expressions and Equations Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions. Standard: 6.EE.2 Write, read, and evaluate expressions in which
More informationGrade 2. M4: and M:5 Addition and Subtraction of Numbers to 1000. M3: Place Value, Counting, and Comparison of Numbers to 1000
Grade 2 Key Areas of Focus for Grades K2: Addition and subtractionconcepts, skills and problem solving Expected Fluency: Add and Subtract within 20 Add and Subtract within 100 Module M1: Mastery of Sums
More informationGrade 3 Level. Math Common Core Sampler Test
Grade 3 Level Math Common Core Sampler Test This test sampler covers most of the standards seen at the Common Core Third Grade Level. This portion of curriculum is heavily focused on algebra, fractions,
More informationNo 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
More informationCommon Core State Standards (CCSS) Number and Operations Fractions (NF) in Math Expressions
hmhco.com BUILDING A New Standard OF Success Common Core State Standards (CCSS) Number and Operations Fractions (NF) in Math Expressions Dr. Karen Fuson, Program Author of Math Expressions Common Core
More informationLesson 18: Introduction to Algebra: Expressions and Variables
LESSON 18: Algebra Expressions and Variables Weekly Focus: expressions Weekly Skill: write and evaluate Lesson Summary: For the Warm Up, students will solve a problem about movie tickets sold. In Activity
More information1.6. Solve Linear Inequalities E XAMPLE 1 E XAMPLE 2. Graph simple inequalities. Graph compound inequalities
.6 Solve Linear Inequalities Before You solved linear equations. Now You will solve linear inequalities. Why? So you can describe temperature ranges, as in Ex. 54. Key Vocabulary linear inequality compound
More informationAlgebra 1 Topic 8: Solving linear equations and inequalities Student Activity Sheet 1; use with Overview
Algebra 1 Topic 8: Student Activity Sheet 1; use with Overview 1. A car rental company charges $29.95 plus 16 cents per mile for each mile driven. The cost in dollars of renting a car, r, is a function
More informationThreeDigit Addition and Subtraction
Lesson Grade 4 2 Lesson ThreeDigit Addition and Subtraction As we move forward this week into word problems and multidigit addition and subtraction, continue to focus on anything your child struggled
More informationAddition with Unlike Denominators
Lesson. Addition with Unlike Denominators Karen is stringing a necklace with beads. She puts green beads on _ of the string and purple beads on of the string. How much of the string does Karen cover with
More informationThe 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
More information3.2 Methods of Addition
.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
More informationProgress Check 6. Objective To assess students progress on mathematical content through the end of Unit 6. Looking Back: Cumulative Assessment
Progress Check 6 Objective To assess students progress on mathematical content through the end of Unit 6. Looking Back: Cumulative Assessment The MidYear Assessment in the Assessment Handbook is a written
More information1 Mathematics Curriculum
New York State Common Core 1 Mathematics Curriculum G R A D E GRADE 1 MODULE 1 Topic J Development of Subtraction Fluency Within 10 1.OA.6 Focus Standard: 1.OA.6 Add and subtract within 20, demonstrating
More informationAddition Terms. Addition can be shown in two ways: 4 Addend + 7 Addend 11 Sum Vertical Form. 4 + 7 = 11 (Addend) (Addend) (Sum) Horizontal Form
Addition Terms Lesson Addition can be shown in two ways: 4 Addend + 7 Addend Sum Vertical Form 4 + 7 = (Addend) (Addend) (Sum) Horizontal Form Find each sum and label. a. 4 b. 7 5 c. 6 + 4 = +3 + 3 Write
More informationSummer 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
More information2 Mathematics Curriculum
New York State Common Core 2 Mathematics Curriculum G R A D E x GRADE 2 MODULE 1 Topic B Mental Strategies for Addition and Subtraction Within 20 2.OA.1, 2.OA.2 Focus Standard: 2.OA.1 Use addition and
More informationGRADE 4 SUPPLEMENT. Set B1 Algebra: Equations & Operations. Includes. Skills & Concepts
GRADE 4 SUPPLEMENT Set B1 Algebra: Equations & Operations Includes Activity 1: Bowling for Equations B1.1 Activity 2: Order of Operations B1.6 Activity 3: Variables & Expressions B1.13 Activity 4: Writing
More informationObjective 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
More informationAlgebra 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
More informationPart 1 Expressions, Equations, and Inequalities: Simplifying and Solving
Section 7 Algebraic Manipulations and Solving Part 1 Expressions, Equations, and Inequalities: Simplifying and Solving Before launching into the mathematics, let s take a moment to talk about the words
More informationOne Way Use rounding and mental math.
Name Estimate Products Essential Question What strategies can you use to estimate products? Lesson 3.2 Number and Operations in Base Ten 4.NBT.B.5 Also 4.NBT.A.3 MATHEMATICAL PRACTICES MP1, MP2, MP5, MP7
More informationMULTIPLICATION OF FRACTIONS AND MIXED NUMBERS. 1 of 6 objects, you make 2 (the denominator)
Tallahassee Community College 0 MULTIPLICATION OF FRACTIONS AND MIXED NUMBERS You know that of is. When you get of objects, you make (the denominator) equal groups of the objects and you take (the numerator)
More informationGrade 2 Level. Math Common Core Sampler Test
Grade 2 Level Math Common Core Sampler Test Everyone we come in contact with is scrambling to get their hands on example questions for this grade level. This test sampler is put together to give you an
More informationDIAMOND PROBLEMS 1.1.1
DIAMOND PROBLEMS 1.1.1 In every Diamond Problem, the product of the two side numbers (left and right) is the top number and their sum is the bottom number. Diamond Problems are an excellent way of practicing
More informationMultiplying Decimals Word Problems 5th Grade
Decimals Word 5th Grade Free PDF ebook Download: Decimals Word 5th Grade Download or Read Online ebook multiplying decimals word problems 5th grade in PDF Format From The Best User Guide Database Adding
More informationNS538 Remainders and NS539 Dividing with Remainders
:1 PAGE 8990 NS538 Remainders and NS539 Dividing with Remainders GOALS Students will divide with remainders using pictures, number lines and skip counting. Draw: 6 3 = 2 7 3 = 2 Remainder 1 8 3 = 2
More informationMental Computation Activities
Show Your Thinking Mental Computation Activities Tens rods and unit cubes from sets of baseten blocks (or use other concrete models for tenths, such as fraction strips and fraction circles) Initially,
More informationMultiplication of Whole Numbers & Factors
Lesson Number 3 Multiplication of Whole Numbers & Factors Professor Weissman s Algebra Classroom Martin Weissman, Jonathan S. Weissman. & Tamara Farber What Are The Different Ways To Show Multiplication?
More information4 Mathematics Curriculum
New York State Common Core 4 Mathematics Curriculum G R A D E GRADE 4 MODULE 1 Topic F Addition and Subtraction Word Problems 4.OA.3, 4.NBT.1, 4.NBT.2, 4.NBT.4 Focus Standard: 4.OA.3 Solve multistep word
More informationSolving Linear Equations
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):
More informationMathematical Reasoning. Lesson 2: Division with Decimals. LESSON 2: Division with Decimals. Weekly Focus: Decimals Weekly Skill: Division
LESSON 2: Division with Decimals Weekly Focus: Decimals Weekly Skill: Division Lesson Summary: For the warm up, students will solve a word problem. In Activity 1, they will practice dividing whole numbers
More informationSupporting Rigorous Mathematics Teaching and Learning
Supporting Rigorous Mathematics Teaching and Learning Mathematical Structures: Addition and Subtraction Word Problem Types PARTICIPANT HANDOUT Tennessee Department of Education Elementary School Mathematics,
More informationBasic Facts INTENSIVE INTERVENTION. National Center on. at American Institutes for Research
National Center on INTENSIVE INTERVENTION at American Institutes for Research Basic Facts 1000 Thomas Jefferson Street, NW Washington, DC 20007 Email: NCII@air.org While permission to reprint this publication
More informationAccentuate the Negative: Homework Examples from ACE
Accentuate the Negative: Homework Examples from ACE Investigation 1: Extending the Number System, ACE #6, 7, 1215, 47, 4952 Investigation 2: Adding and Subtracting Rational Numbers, ACE 1822, 38(a),
More informationSubtracting Negative Integers
Subtracting Negative Integers Notes: Comparison of CST questions to the skill of subtracting negative integers. 5 th Grade/65 NS2.1 Add, subtract, multiply and divide with decimals; add with negative integers;
More informationWelcome to today s topic Parts of Listen & Learn
in the form Geometry and Spatial Sense Solving OneStep Equations in the form ax=b PRESENTED BY Mathmaniac Mathematics, Grade 7 Introduction Welcome to today s topic Parts of Presentation, questions, Q&A
More informationExperience is a hard teacher because she gives the test first, the lesson afterward. Vernon Law DRAFT
! Lesson 24 Ins and Outs 111 Lesson 24 Ins and Outs Learning Objecves 1. Distinguish between inputs (independent variables) and outputs (dependent variables). 2. Evaluate expressions and formulas. 3.
More informationSecond Grade Addition And Subtraction Bingo
Second Grade Bingo Free PDF ebook Download: Second Grade Bingo Download or Read Online ebook second grade addition and subtraction bingo in PDF Format From The Best User Guide Database Second Grade. If
More informationSimplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms.
Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop
More informationProgressing toward the standard
Report Card Language: The student can add and subtract fluently within 20. CCSS: 2.OA.2 Fluently add and subtract within 20 using mental strategies, by end of grade, know from memory all sums of two onedigit
More informationINTRODUCTION CONTENTS
INTRODUCTION Algebra for All and No Child Left Behind are phrases in the education community that suggest, and in many cases require, action. They give impetus for mathematics teachers at all levels to
More informationAnalyzing and Solving Pairs of Simultaneous Linear Equations
Analyzing and Solving Pairs of Simultaneous Linear Equations Mathematics Grade 8 In this unit, students manipulate and interpret equations in one variable, then progress to simultaneous equations. They
More informationLesson 4: Efficiently Adding Integers and Other Rational Numbers
Lesson 4: Efficiently Adding Integers and Other Rational Numbers Student Outcomes Students understand the rules for adding integers: Add integers with the same sign by adding the absolute values and using
More informationAlgebra 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,
More informationOrder of Operations More Essential Practice
Order of Operations More Essential Practice We will be simplifying expressions using the order of operations in this section. Automatic Skill: Order of operations needs to become an automatic skill. Failure
More informationTwostep equations  word problems  integers
1 Twostep equations  word problems  integers 1) Shanice had $20 to spend on seven raffle tickets. After buying them she had $6. How much did each raffle ticket cost? 2) The sum of three consecutive
More informationTeaching Basic Facts: Considerations for Instruction
Teaching Basic Facts: Considerations for Instruction Purpose and Overview of Guide The purpose of this guide is to provide strategies and materials for developing and implementing lessons for students
More informationGrade 5 Math Content 1
Grade 5 Math Content 1 Number and Operations: Whole Numbers Multiplication and Division In Grade 5, students consolidate their understanding of the computational strategies they use for multiplication.
More informationPaper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 5 7
Ma KEY STAGE 3 Mathematics test TIER 5 7 Paper 1 Calculator not allowed First name Last name School 2009 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You
More informationT. H. Rogers School Summer Math Assignment
T. H. Rogers School Summer Math Assignment Mastery of all these skills is extremely important in order to develop a solid math foundation. I believe each year builds upon the previous year s skills in
More informationMath and FUNDRAISING. Ex. 73, p. 111 1.3 0. 7
Standards Preparation Connect 2.7 KEY VOCABULARY leading digit compatible numbers For an interactive example of multiplying decimals go to classzone.com. Multiplying and Dividing Decimals Gr. 5 NS 2.1
More information7 th Grade Integer Arithmetic 7Day Unit Plan by Brian M. Fischer Lackawanna Middle/High School
7 th Grade Integer Arithmetic 7Day Unit Plan by Brian M. Fischer Lackawanna Middle/High School Page 1 of 20 Table of Contents Unit Objectives........ 3 NCTM Standards.... 3 NYS Standards....3 Resources
More informationProblem of the Month: Perfect Pair
Problem of the Month: The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common Core State Standards:
More informationCANADIAN MATH KANGAROO CONTEST. 2014 Grade 1 and 2 Questions and Answers
CANADIAN MATH KANGAROO CONTEST 2014 Grade 1 and 2 Questions and Answers Year 2014 Canadian Math Kangaroo Contest PROBLEMS Part A: Each correct answer is worth 3 points 1. A ladybug will sit on a flower
More informationRe Thinking Fact Families
Re Thinking Fact Families Objective: Teachers are given multiple strategies for teaching K 2 students the real Mathematics behind "Fact Families": the commutative property of addition and subtraction,
More informationMath Content by Strand 1
Math Content by Strand 1 Number and Operations with Whole Numbers Multiplication and Division Grade 3 In Grade 3, students investigate the properties of multiplication and division, including the inverse
More informationIntroduce Decimals with an Art Project Criteria Charts, Rubrics, Standards By Susan Ferdman
Introduce Decimals with an Art Project Criteria Charts, Rubrics, Standards By Susan Ferdman hundredths tenths ones tens Decimal Art An Introduction to Decimals Directions: Part 1: Coloring Have children
More informationYear 10 Homework Task for Maths
Year 10 Homework Task for Maths How to be Successful in Maths If you want to do yourself justice you need to: Pay attention at all times Do the classwork set by your teacher Follow your teacher s instructions
More information= > < number and operations in base Ten. Read and Write Whole Numbers... 4 4.NBT.1, 4.NBT.2
in 3 + + > < > < Module number and operations in base Ten Lesson Read and Write Whole Numbers 4 4NBT, 4NBT2 Common Core State Standards Lesson 2 Compare and Order Whole Numbers 8 4NBT2 Lesson 3 Lesson
More informationOperations with positive and negative numbers  see first chapter below. Rules related to working with fractions  see second chapter below
INTRODUCTION If you are uncomfortable with the math required to solve the word problems in this class, we strongly encourage you to take a day to look through the following links and notes. Some of them
More informationExcel Math Placement Tests A gradelevel evaluation tool
Excel Math Placement Tests A gradelevel evaluation tool Attached are six tests that can be used to evaluate a student s preparedness for Excel Math. The tests are labeled A  F, which correspond to first
More informationAlgebra 1: Basic Skills Packet Page 1 Name: Integers 1. 54 + 35 2. 18 ( 30) 3. 15 ( 4) 4. 623 432 5. 8 23 6. 882 14
Algebra 1: Basic Skills Packet Page 1 Name: Number Sense: Add, Subtract, Multiply or Divide without a Calculator Integers 1. 54 + 35 2. 18 ( 30) 3. 15 ( 4) 4. 623 432 5. 8 23 6. 882 14 Decimals 7. 43.21
More informationChapter 13: Polynomials
Chapter 13: Polynomials We will not cover all there is to know about polynomials for the math competency exam. We will go over the addition, subtraction, and multiplication of polynomials. We will not
More informationEstimating Products (pages 256 258)
A Estimating Products (pages 8) You can use compatible numbers to estimate products when multiplying fractions. Compatible numbers are easy to divide mentally. A Estimate. means of.? For, the nearest multiple
More information1.6 Division of Whole Numbers
1.6 Division of Whole Numbers 1.6 OBJECTIVES 1. Use repeated subtraction to divide whole numbers 2. Check the results of a division problem 3. Divide whole numbers using long division 4. Estimate a quotient
More informationMathematics Task Arcs
Overview of Mathematics Task Arcs: Mathematics Task Arcs A task arc is a set of related lessons which consists of eight tasks and their associated lesson guides. The lessons are focused on a small number
More informationMultiplication 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
More informationContents. 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
More informationAlgebra/Geometry Institute Summer Combinations and Permutations. 1 Teaching objective(s)
Algebra/Geometry Institute Summer 2005 Combinations and Permutations Faculty Name: Susie Shorter School: Solomon Middle School Greenville, MS 38701 Grade Level: 7 1 Teaching objective(s) Mississippi Benchmark
More informationGrade 1 and 2: Basic Addition and Subtraction Facts Series 2: First and Second Grade
Grade 1 and 2: Basic Addition and Subtraction Facts Series 2: First and Second Grade Texas Essential Knowledge and Skills (TEKS): (1.3) Number, operation and quantitative reasoning. The student recognizes
More informationComposing and Decomposing Whole Numbers
Grade 2 Mathematics, Quarter 1, Unit 1.1 Composing and Decomposing Whole Numbers Overview Number of instructional days: 10 (1 day = 45 60 minutes) Content to be learned Demonstrate understanding of mathematical
More information1.5. Solving MultiStep Equations Field Trip Fundraiser. My Notes ACTIVITY
Solving MultiStep Equations SUGGESTED LEARNING STRATEGIES: KWL, Question the Text, Create Representations, Quickwrite The Future Engineers of America Club (FEA) wants to raise money for a field trip to
More information