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Chapter One: Whole Numbers and Patterns Section Section 1-1 Section 1-2: Quiz Section 1-3: Section 1-4: Quiz Section 1-5: Section 1-6: Quiz Chapter Review Test Objective Dates (may change) Estimating with Whole Numbers Exponents Sections 1 and 2 Order of Operations Properties and Mental Math Sections 3 and 4 Choosing a method of Computation Patterns and Sequences Sections 5 and 6 Monday, Sept. 14th Tuesday, Sept. 15th Wednesday, Sept. 16th Thursday, Sept. 17th Friday, Sept 18th Monday, Sept. 21st Tuesday, Sept. 22nd Wednesday, Sept 23rd Thursday, Sept. 24th Friday, Sept 25th Chapter 1 Monday, Sept. 28th Dear Students and Parents, Welcome to your first math unit. Each new unit you will be receiving a calendar like this that shows an overview of what you will be learning throughout each section. You can expect that we will be covering one section each day. Above is a table that shows when each assessment will take place and when the review and chapter test will be. If, through assessment, I can tell that there was a general understanding of each section, and there were no interruptions (such as picture day), you could assume this particular unit would take 11 class days. The schedule is always subject to change depending on the needs of the class. However, if a change occurs your child will be made aware of it and adjust their calendar accordingly. Please remember that you can access your math textbook online and that the online access also includes tools, tutorials and extra practice. Snack will take place during math class. Please remember that my classroom is peanut free and I ask that you encourage your child to bring in a healthier choice snack (no candy or cookies please). If children forget their snack I usually have extras. If you would like to donate snacks to our class to have in case someone forgets please send them in to me with your child (peanut free please). Thanks, Mrs. Helmberger Parent Signature _____________________________________ Section One: Estimating with Whole Numbers (Pages 6-9) You’ll Learn: to estimate with whole numbers Vocabulary Estimate: Compatible number: Underestimate: Overestimate: Remember! When rounding, look at the digit to the right of the place to which you are rounding. If that digit is 5 or greater, round up. If that digit is less than 5, round down. Estimate a Sum or Difference by Rounding (copy examples from board) Overestimating and Underestimating Ms. Escobar is planning a graduation celebration for the entire eighth grade. There are 9 eighth-grade homeroom classes of 27 students. Estimate how many cups Ms. Escobar needs to buy for students if they all attend the celebration. Mrs. Byrd will drive 120 miles to take Becca to the state fair. She can drive 65 mi/hr. About how long will the trip take? Think and Discuss (See Page 7) 1) 2) 3) Section 2: Exponents (Pages 10-13) You’ll learn: to represent numbers and solve problems by using exponents. Vocabulary Exponent: Base: Exponential form: Exponential Form 101 102 103 104 Read 10 to the 1 power 10 to the 2nd power or 10 squared 10 the 3rd power or 10 cubed 10 to the 4th power st Multiply 10 10 x 10 10 x 10 x 10 10 x 10 x 10 x 10 Value 10 100 1,000 10,000 Writing Numbers is Exponential Form: A) 4 x 4 x 4 B) 9 x 9 x 9 x 9 x 9 C) 2 x 2 x 2 x 2 Find the Value of Numbers in Exponential Form: A) 27 B) 64 C) 35 Problem Solving Application (See page 11) If Dana’s school closes, a phone tree is used to contact each student’s family. The secretary calls 3 families. Then each family calls 3 other families, and so on. How many families will be notified during the 6th round of calls? Think and Discuss (page 11) 1. 2. Section Three: Order of Operations ( Pages 18-21) You’ll learn: to use the order of operations Vocabulary Numerical expression: Simplify: Order of Operations: Simplify each expression: Show each step below the problem as you solve it. A) 15 -10 ÷ 2 E) 24 + 6 x 4 B) 9 + (21 ÷ 7) x 5 F) 24 ÷ (9-6) x 32 -10 C) 12 – 6 ÷ 2 G) 42 + 3 x 7 D) 7( 24 ÷ 6 ) x 3 H) 32 ÷ (8-4) x 22 – 12 I) Regina bought 5 carved wooden beads for $3 each and 8 glass beads for $2 each. Find the amount Regina spent for beads. Add parentheses so that each equation is correct: 1) 7 + 9 x 3 – 1 = 25 2) 15 x 32 -23 =15 Section Four: Properties and Mental Math (pages 22-25) You’ll learn: to use number properties to compute mentally Commutative Property (Ordering) Words Numbers You can add or multiply numbers in any 18 + 9 = 9 + 18 order. 15 x 2 = 2 x 15 Associative Property (Grouping) Words When you are only adding or only multiplying, you can group any of the numbers together. Numbers (17 + 2) + 9 = 17 + ( 2 + 9) (12 x 2) x 4 = 12 x (2 x 4) Distributive Property Words To multiply a number by a sum, multiply by each number in the sum and then add. Numbers 6 x (10 + 4) = (6 x 10) + (6 x 4) Identify the properties shown: A) 2 + 3 + 4 = 3 + 2 + 4 B) (3 + 5) + 2 = 3 + (5 + 2) C) 4 x 10 = 10 x 4 D) 3 x ( 2 + 1) = (3 x 2) + (3 x 1) E) (8 x 5) x 9 = 8 x (5 x 9) F) 4( 6 + 7) = (4 x 6) + (4 x 7) Use the Distributive Property to find each product: A) 3 x 36 B) 5 x 24 C) 9 x 12 D) 2 x 87 Use Mental Math to simplify each problem. 8 + 12 + 13 + 7 2 x 25 x 4 4 + 22 + 16 + 18 6 x 5 x 14 11 + 75 + 25 5 x 8 x 12 Section Five: Choosing a Method of Computation (pages 26-28) You’ll learn: to choose an appropriate method of computation and justify your choice. Choices for Computation: 1) Using a pencil and paper 2) Using mental math 3) Using a calculator (if allowed) Remember that not all students will use identical methods when solving a problem. The goal is to use the easiest and fastest method for you! Section Six: Patterns and Sequences (pages 29-32) You’ll learn: to find patterns and to recognize, describe, and extend patterns in sequences. Sequence: Term: Arithmetic Sequence: