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WELCOME TO BIG IDEA 1 GRADE 4 While we are waiting to begin, please make sure that you have: signed in on the hard copy. signed in on the computer. Directions and BE # are on the table next to the computer. ordered lunch in room 301 now, if you wish. We will break for lunch at 11:30 for one hour.

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GROUP NORMS AND HOUSEKEEPING LOGISTICS: Phone Calls Rest Rooms Breaks Lunch Punctuality Sharing Group Norms: Participate Listen with an open mind Ask questions Work toward solutions Limit side bars

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BIG IDEA 1 Develop quick recall of multiplication facts and related division facts and fluency with whole number multiplication. 6 x 7 = 42 42 ÷6 = 7 438 X 25

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Teaching For Depth

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MA.4.A.6.1 Use and represent numbers through millions in various contexts, including estimation of relative sizes of amounts or distances.

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Magnitude of a Number When is 1000 a large number? When is 1000 a small number? When is 1,000,000 a large number ? When is 1,000,000 a small number?

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PLACE VALUE is a fundamental feature of our number system. A thorough understanding of place value developed early through concrete experiences, is necessary in order for students to achieve computational fluency.,

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2030 600500. 4,444 XXXX

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What are the periods of this number? 684,684,684,684,684 Trillion BillionMillionThousandOnes

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PERIOD NAMES

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Each period has the same three places 684,684,684,684,684 Hundreds Tens Trillion Ones Hundreds Tens Billion Ones Hundreds Tens Million Ones Hundreds Tens Thousand Ones Hundreds Tens Ones Ones

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The Power of Ten 2 20 2 x 10 200 2 x 10 x 10 2000 2 x 10 x 10 x 10

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Different Number Forms Standard: Expanded: Thirty-five thousand, six hundred eighty-four 30,000 + 5,000 + 600 + 80 + 4 Word: 35,684

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Derek read that the population of his city was 1,575,204. Last year, the population was 1,571,692. By how much did the population in Derek’s city increase from last year to this year? The population of Ireland in 2007 was 4,366,193. In 2008, the population increased to 4,459,547. By how much did the population of Ireland increase from 2007 to 2008 ? 1. 2.

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Grab and Go Center

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MA.4.A.6.6 Estimate and describe reasonableness of estimates; determine the appropriateness of an estimate versus an exact answer.

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What are reasonable estimates for this number ? 672, 408

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ESTIMATION Rounding to a specific place value Using benchmarks to make reasonable estimates

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The table below shows the land area, in square miles, of four states in the southeast. Which is the best estimate of a range of numbers for the total land area, in square miles, of the four states listed in the table? a. 100,000 to 125,000 c. 150,000 to 175,000 b. 125,000 to 150,000 d. 175,000 to 200,000

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As of 2008, the number of seats at Ben Hill Griffin Stadium in Gainesville, Florida, was 88,548. At a certain event, 9,325 of the seats were empty. Which is the best estimate of the number of seats that were NOT empty at the event? a. 110,000 c. 90,000 b. 100,000 d. 80,000 According to one source, Americans eat between 59 and 65 quarts of popcorn per person in a year. Which of the following is the best estimate of the number of quarts of popcorn eaten by an American family of 4 in one year? 1. 2. a. 150 c. 250 b. 200 d. 300

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Equation 10 = t + 3 Inequality 7+6 > 3+5 ALGEBRAIC THINKING Expression t + 3 Input Output

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MA.4.A.4.2 Describe mathematics relationships using expressions, equations, and visual representations. variables expressions

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There is a relationship between the number of the shape and the number of sides that each shape has. If this same pattern continues, which expression below can be used to find the number of sides of Shape 6 ? a. 6 + 1 c. 6 x 1 b. 6 + 2 d. 6 x 2 Several shapes are shown below:

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Marquese has some Skittles left in his bag. Dora has two more than Marquese left in her bag. If m represents the number of skittles that Marquese has, write an expression to show how many skittles Dora has. m + 2

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Deborah has some Skittles. Mark has three fewer than Deborah. If d represents the number of skittles that Deborah has, write an expression to show how many skittles Mark has. d - 3

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Morgan has some Skittles. Stacey has twice as many as Morgan. If m represents the number of skittles that Morgan has, write an expression to show how many skittles Stacey has. m + m or 2 x m or 2m

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Numerical Expressions 42 – 15 50 ÷ 5 Algebraic Expressions n – 15 50 ÷ n What’s the word problem?

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Morgan had 8 extra pencils to share with friends. She shared the 8 pencils with 2 friends. Which expression shows what Morgan did with her extra pencils? 8 x 2 8 – 2 8 ÷ 2 8 + 2 Morgan had some pencils to share equally with 2 friends. Let p represent the pencils. Which expression shows what Morgan did with her pencils? p x 2 p – 2 p ÷ 2 p + 2

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During the summer, Melissa read 5 more books than Justin. Let b represent the books that Justin read. Write an expression to show how many books Melissa read during the summer. During the summer, Melissa read 5 more books than Justin. Justin read 11 books. Write an expression to show how many books Melissa read.

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Luca has 3 packs of baseball cards. There are 5 cards in each pack. His friend Noah gave him 6 more cards. Which expression shows the baseball cards that Luca has? (3 X 6 )+ 5 (3 X 5) + 6 5 X (6 + 3) 5 + (6 + 3) Luca has 3 packs of baseball cards. There are 5 cards in each pack. His friend Noah gave him some more cards. Let n represent the cards from Noah. Which expression shows all of the baseball cards Luca has? (3 X n )+ 5 (3 X 5) + n 5 X (n + 3) 5 + (n + 3)

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PICK A PAIR

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There is a relationship between the number of the shape and the number of sides that each shape has. If this same pattern continues, which expression below can be used to find the number of sides of Shape 6 ? a. 6 + 1 c. 6 x 1 b. 6 + 2 d. 6 x 2 Several shapes are shown below:

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MA.4.A.4.1 Generate algebraic rules and use all four operations to describe patterns, including nonnumeric growing or repeating patterns.

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A number pattern is shown below: 3, 6, 9, 12, 15, 18 … What algebraic rule can be used to describe the pattern? a. add 1 to the previous number c. multiply the previous number by 3 b. add 3 to the previous number d. multiply the previous 2 numbers Patterns are assessed in various ways.

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Elijah made a pattern using squares for his social studies project on pyramids. The first four figures in the pattern are shown below. If Elijah continues the pattern, what should be the total number of squares in Figure 5?

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MA.4.A.4.3 Recognize and write algebraic expressions for functions with two operations Rule: multiply by 2 then add 5 Expression: 2x + 5

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FUNCTION TABLE NOT A FUNCTION TABLE IN OUT ROWS SEATS 1 6 2 12 3 18 10 ? 132 240 3 48 10 ?

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Function Tables Rule: Expression: Input X Output Y 3636 8 11 5858 10 ? input + 3 = output x + 3 = y

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Input X Output Y Rule: Expression:

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Input X Output Y Rule: Expression: 4 9 7 15 5 11 8 ? Input times 2 plus1 = output 2x + 1 = y

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Input X Output Y Rule: Expression:

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Understanding Functions Jessica has lost 5 pounds. She plans to lose 3 pounds each week until her wedding day. Let w represent the number of weeks until the big day. What expression could represent the total number of pounds Jessica intends to lose before her wedding?

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Lauren was excited about the purchase of her new car. When she picked up the car, there were 25 miles on the odometer. She will drive15 miles to and from work each day. What expression could represent the miles Lauren drives in d days?

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EQUALITY 6 x 4 = (40 ÷ 5) x 3

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Greg and Rachel worked on their homework for 2 hours last night. Greg worked for 20 fewer minutes than Rachel. Let n represent the minutes that Rachel worked on her homework. What equation would help you find how long Greg spent on his homework? Nicholas wants to buy 24 shirts for the soccer team. Each shirt costs $9. Which equation could Nicholas use to help him find t, the total cost the team shirts?

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Equation Word Problem Match the equations to the word problems.

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How will the information from this workshop be incorporated into your math program?

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