UNIT 3 Lesson 11 Adding and Subtracting Decimals (1 week / 5 days) pages Overview

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1 UNIT 3 Lesson 11 Adding and Subtracting Decimals (1 week / 5 days) pages Overview The students will develop and analyze algorithms for computing with decimals and develop fluency in their use. CONTENT Add decimals Subtract decimals Summarize information LOUISIANA STUDENT CONNECTORS FOR ENGLISH LEARNERS ELP C1 Construct meaning from oral presentations and literary and informational text through grade-appropriate listening, reading, and viewing ELP C2 Participate in grade-appropriate oral and written exchanges of information, ideas, and analyses, responding to peer, audience, or reader comments and questions. ELP C8 Determine the meaning of words and phrases in oral presentations and literary and informational text ELP C9 Create clear and coherent grade-appropriate speech and text ELP C10 Make accurate use of standard English to communicate in grade- appropriate speech and writing MP 1 Make sense of problems and persevere in solving them MP 3 Construct viable arguments and critique reasoning of others MP 5 Use appropriate tools strategically MP 6 Attend to precision EP 7 Use technology and digital media strategically and capably MATHEMATICS 7.EE.B.3 Student solve multistep problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. This work is the culmination of many progressions of learning arithmetic, problem solving and mathematical practices. 7.NS.A.A-2 Adding, subtracting, multiplying, and dividing rational numbers is the culmination of numerical work with the four basic operations. Updated 10/5/ :33 PM 1

2 UNIT 3 Lesson 11 Adding and Subtracting Decimals (1 week / 5 days) pages Resources T E A C H I N G R E S O U R C E S Access Math Teacher s edition Math Assessment Book A D D I T I O N A L S U P P O R T I N G R E S O U R C E S Lexia Core 5 Rosetta Stone Bilingual dictionary Brain Pop ESL Brain Pop Updated 10/5/ :33 PM 2

3 UNIT 3 Lesson 11 Adding and Subtracting Decimals (1 week / 5 days) pages Activities for Understanding SUGGESTIONS After shading their grids, the student will be able to write the sum of decimal numbers. Give students 10 by 10 grids. On the board, write addition problems such as and Ask students to shade their grids, using a different color for each number. Have them write each sum. After making a 3- or 4- digit number, the student will be able to rename the number in order to regroup. Give pairs of students a set of number cards 0-9. Have them choose three or four number cards and make a 3- or 4- digit number. Have partners take turns renaming the numbers to regroup a 10 as 1s, a 100 as 10s, and a 1,000s. For example, 572 with a 10 regrouped as 1s is Partners should check each other s regrouping. After finding the sum of decimal numbers the student will be able to explain the procedure. Have each student write three different numbers with two or three decimals places on three small slips of paper. Place the slips of paper facedown and mix. Have each student choose three slips of paper, find the sum, and explain his or her procedures. Updated 10/5/ :33 PM 3

4 UNIT 3 Lesson 12 Multiplying and Dividing Decimals (1 week / 5 days) pages Overview The students will develop and analyze algorithms for computing with decimals and develop fluency in their use. CONTENT Multiply decimals Divide decimals Demonstrate a procedure LOUISIANA STUDENT CONNECTORS FOR ENGLISH LEARNERS ELP C1 Construct meaning from oral presentations and literary and informational text through grade-appropriate listening, reading, and viewing ELP C2 Participate in grade-appropriate oral and written exchanges of information, ideas, and analyses, responding to peer, audience, or reader comments and questions. ELP C8 Determine the meaning of words and phrases in oral presentations and literary and informational text ELP C9 Create clear and coherent grade-appropriate speech and text ELP C10 Make accurate use of standard English to communicate in grade- appropriate speech and writing MP 1 Make sense of problems and persevere in solving them MP 3 Construct viable arguments and critique reasoning of others MP 5 Use appropriate tools strategically MP 6 Attend to precision EP 7 Use technology and digital media strategically and capably MATHEMATICS 7.EE.B.3 Student solve multistep problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. This work is the culmination of many progressions of learning arithmetic, problem solving and mathematical practices. 7.NS.A.A-2 Adding, subtracting, multiplying, and dividing rational numbers is the culmination of numerical work with the four basic operations. Updated 10/5/ :33 PM 4

5 UNIT 3 Lesson 12 Multiplying and Dividing Decimals (1 week / 5 days) pages Resources T E A C H I N G R E S O U R C E S Access Math Teacher s edition Math Assessment Book A D D I T I O N A L S U P P O R T I N G R E S O U R C E S Lexia Core 5 Rosetta Stone Bilingual dictionary Brain Pop ESL Brain Pop Updated 10/5/ :33 PM 5

6 UNIT 3 Lesson 12 Multiplying and Dividing Decimals (1 week / 5 days) pages Activities for Understanding SUGGESTIONS After writing a decimal number, the student will be able tell how many decimal places will be in the product. Have pairs of students each write a decimal number. Then have them tell how many decimals places will be in the product of the two numbers. Have them repeat the activity at least ten times. After reading problems aloud the student will be able to give its product mentally. On the board, write problems such as 2 x 0.3 and 3 x Ask students to read each aloud; give its product mentally, for instance, 2 times 3 tenths equals 6 tenths, and write the product (0.6). The student will be able to explain how to find a quotient. Give students the division problem (2.56). Have them explain in several sentences how they would find the quotient. Have them show their work. Updated 10/5/ :33 PM 6

7 UNIT 4 Lesson 13 Divisibility (1 week / 5 days) pages Overview The students will use the divisibility rules to find out if a number is divisible by another LOUISIANA STUDENT CONNECTORS FOR ENGLISH LEARNERS ELP C1 Construct meaning from oral presentations and literary and informational text through grade-appropriate listening, reading, and viewing ELP C2 Participate in grade-appropriate oral and written exchanges of information, ideas, and analyses, responding to peer, audience, or reader comments and questions. ELP C8 Determine the meaning of words and phrases in oral presentations and literary and informational text ELP C9 Create clear and coherent grade-appropriate speech and text ELP C10 Make accurate use of standard English to communicate in grade- appropriate speech and writing MP 1 Make sense of problems and persevere in solving them MP 3 Construct viable arguments and critique reasoning of others MP 5 Use appropriate tools strategically MP 6 Attend to precision EP 7 Use technology and digital media strategically and capably MATHEMATICS 6.NS.B.2. Fluently divide multi-digit numbers using the standard algorithm. Updated 10/5/ :33 PM 7

8 UNIT 4 Lesson 13 Divisibility (1 week / 5 days) pages Resources T E A C H I N G R E S O U R C E S Access Math Teacher s edition Math Assessment Book A D D I T I O N A L S U P P O R T I N G R E S O U R C E S Lexia Core 5 Rosetta Stone Bilingual dictionary Brain Pop ESL Brain Pop Updated 10/5/ :33 PM 8

9 UNIT 4 Lesson 13 Divisibility (1 week / 5 days) pages Activities for Understanding SUGGESTIONS Students will be able to use the key terms in the lesson to describe relationships. Have students pairs draw a 2- by -3 rectangle and write number sentences to describe the rectangle. Ask them to use the terms multiple, factor, and divisible to describe the relationships between the numbers 2and 6. Student will be able to use the key concepts and explain the divisibility rules. Have pairs of students draw sixteen Xs in equal groups in as many different ways as they can. Have them us the terms divisible, factor, and multiple to explain their results. (16 is a multiple of 1, 16, 2, 8 and 4; 16 is divisible by 1, 2, 4, 8, and 16; 1, 2, 4, 8, and 16 are factors of 16.) After reading the divisibility rules and writing a 2 digit number, the student will be able to identify the rule. Have pairs of students look at the table of divisibility rules on page 84. Have them each write a 2- digit number and circle the one digit. Ask, which divisibility rules use the numbers in the one digit? (rules for 2, 5 and 10) Which divisibility rules use the sum of the digits? (rules for 3 and 0) Updated 10/5/ :33 PM 9

10 UNIT 4 Lesson 14 Prime and Composite (1 week / 5 days) pages Overview The students will use factors and multiples to solve problems. CONTENT Identify a number as prime or composite Write the prime factorization for a number Recognize multiple meanings of prime Describe by providing details LOUISIANA STUDENT CONNECTORS FOR ENGLISH LEARNERS ELP C1 Construct meaning from oral presentations and literary and informational text through grade-appropriate listening, reading, and viewing ELP C2 Participate in grade-appropriate oral and written exchanges of information, ideas, and analyses, responding to peer, audience, or reader comments and questions. ELP C8 Determine the meaning of words and phrases in oral presentations and literary and informational text ELP C9 Create clear and coherent grade-appropriate speech and text ELP C10 Make accurate use of standard English to communicate in grade- appropriate speech and writing MP 1 Make sense of problems and persevere in solving them MP 3 Construct viable arguments and critique reasoning of others MP 5 Use appropriate tools strategically MP 6 Attend to precision EP 7 Use technology and digital media strategically and capably MATHEMATICS 6.EE.A.1Write and evaluate numerical expressions involving whole-number exponents. 7.NS.A.A-2 Adding, subtracting, multiplying, and dividing rational numbers is the culmination of numerical work with the four basic operations. Updated 10/5/ :33 PM 10

11 UNIT 4 Lesson 14 Prime and Composite (1 week / 5 days) pages Resources T E A C H I N G R E S O U R C E S Access Math Teacher s edition Math Assessment Book A D D I T I O N A L S U P P O R T I N G R E S O U R C E S Lexia Core 5 Rosetta Stone Bilingual dictionary Brain Pop ESL Brain Pop Updated 10/5/ :33 PM 11

12 UNIT 4 Lesson 14 Prime and Composite (1 week / 5 days) pages Activities for Understanding SUGGESTIONS After listing factors, the student will be able to classify them as prime or composite. Have pairs use grid paper to make many 28- square rectangles as they can. Have them list the factors for 28, classify 28 as composite or prime, and explain the reasoning. Repeat for 17 squares. The student will be able to identify a number as prime or composite. Ask pair of students to explain how to tell whether a number is prime or composite. (sample: Try dividing it by 2, 5, 7, 9 and 10) Then have them to share how they would determine whether 49 is prime or a composite number (Divide by 7; composite). The student will be able to write the prime factorization for a number. Have each student in a pair roll a number cube two times to make a 2- digit number and find the prime factorization for that number. The student with more prime factors in his or her prime factorization scores one point. The student to score five points wins. Updated 10/5/ :33 PM 12

13 UNIT 4 Lesson 15 Greatest Common Factor (1 week / 5 days) pages Overview The students will use factors and multiples to solve problems. CONTENT Find all common factors of two or more numbers Find the greatest common factor (GCF) of two or more numbers Recognize the meaning of the idiom return the favor Respond to an invitation LOUISIANA STUDENT CONNECTORS FOR ENGLISH LEARNERS ELP C1 Construct meaning from oral presentations and literary and informational text through grade-appropriate listening, reading, and viewing ELP C2 Participate in grade-appropriate oral and written exchanges of information, ideas, and analyses, responding to peer, audience, or reader comments and questions. ELP C8 Determine the meaning of words and phrases in oral presentations and literary and informational text ELP C9 Create clear and coherent grade-appropriate speech and text ELP C10 Make accurate use of standard English to communicate in grade- appropriate speech and writing MP 1 Make sense of problems and persevere in solving them MP 3 Construct viable arguments and critique reasoning of others MP 5 Use appropriate tools strategically MP 6 Attend to precision EP 7 Use technology and digital media strategically and capably MATHEMATICS 6.EE.A.1Write and evaluate numerical expressions involving whole-number exponents.. 7.NS.A.A-2 Adding, subtracting, multiplying, and dividing rational numbers is the culmination of numerical work with the four basic operations. Updated 10/5/ :33 PM 13

14 UNIT 4 Lesson 15 Greatest Common Factor (1 week / 5 days) pages Resources T E A C H I N G R E S O U R C E S Access Math Teacher s edition Math Assessment Book A D D I T I O N A L S U P P O R T I N G R E S O U R C E S Lexia Core 5 Rosetta Stone Bilingual dictionary Brain Pop ESL Brain Pop Updated 10/5/ :33 PM 14

15 UNIT 4 Lesson 15 Greatest Common Factor (1 week / 5 days) pages Activities for Understanding SUGGESTIONS The student will be able to identify the common factors. Have partners give each other two numbers less than 50. Have them list the common factors, explaining their procedures. Then have partners repeat the activity with three numbers between 50 and 100. The student will be able to find the common factors. Have pairs of students alternate choosing two or three numbers less than 40 and having the partner list the factors of each number and then tell which are common factors. Have them talk about how they found the factors. The student will be able to explain how to find factors and common factors.have students choose two or three numbers less than 40 and explain orally or in writing how to find the factors and common factors of their numbers. Updated 10/5/ :33 PM 15

16 UNIT 4 Lesson 16 Least Common Multiple (1 week / 5 days) pages Overview The students will find the least common multiple of numbers. CONTENT Find all common multiples of two or more numbers Find the Least common Multiple (LCM) of two or more numbers Recognize the signal words referring to order of importance Persuade a person by giving reasons LOUISIANA STUDENT CONNECTORS FOR ENGLISH LEARNERS ELP C1 Construct meaning from oral presentations and literary and informational text through grade-appropriate listening, reading, and viewing ELP C2 Participate in grade-appropriate oral and written exchanges of information, ideas, and analyses, responding to peer, audience, or reader comments and questions. ELP C8 Determine the meaning of words and phrases in oral presentations and literary and informational text ELP C9 Create clear and coherent grade-appropriate speech and text ELP C10 Make accurate use of standard English to communicate in grade- appropriate speech and writing MP 1 Make sense of problems and persevere in solving them MP 3 Construct viable arguments and critique reasoning of others MP 5 Use appropriate tools strategically MP 6 Attend to precision EP 7 Use technology and digital media strategically and capably MATHEMATICS 6.EE.A.1 Write and evaluate numerical expressions involving whole-number exponents.. 7.NS.A.A-2 Adding, subtracting, multiplying, and dividing rational numbers is the culmination of numerical work with the four basic operations. Updated 10/5/ :33 PM 16

17 UNIT 4 Lesson 16 Least Common Multiple (1 week / 5 days) pages Resources T E A C H I N G R E S O U R C E S Access Math Teacher s edition Math Assessment Book A D D I T I O N A L S U P P O R T I N G R E S O U R C E S Lexia Core 5 Rosetta Stone Bilingual dictionary Brain Pop ESL Brain Pop Updated 10/5/ :33 PM 17

18 UNIT 4 Lesson 16 Least Common Multiple (1 week / 5 days) pages Activities for Understanding SUGGESTIONS The student will be able to find multiples of two or more numbers. On the board, write two numbers less than 12. Have volunteers list the first ten multiples of each number and tell how they found them. Have other volunteers circle pairs of common multiples. The student will be able to find the least common multiple. Give pairs of students two or three number cubes. Have them take turns tossing two or three numbers and find their least common multiple. They could also toss two cubes for a 2- digit number and the third cube for a 1 digit number. The student will be able to explain how to find the least common multiple. Have pairs of students alternate choosing two or three numbers less than 12. Have the partner list the first ten multiples of each number and then tell which are common multiples. Have them tell how they found the multiples. Updated 10/5/ :33 PM 18

19 UNIT 5: Lesson 17: Understanding Fractions (1 week / 5 days) pages Overview The students will develop understanding of fractions as parts of unit wholes, as parts of a collection, as location on number lines, and as divisions of whole numbers. CONTENT Use fractions to represent parts of a whole or a set Write equivalent fractions Recognize the prefix de- Interpret results involving a group of fractions LOUISIANA STUDENT CONNECTORS FOR ENGLISH LEARNERS ELP C1 Construct meaning from oral presentations and literary and informational text through grade-appropriate listening, reading, and viewing ELP C2 Participate in grade-appropriate oral and written exchanges of information, ideas, and analyses, responding to peer, audience, or reader comments and questions. ELP C8 Determine the meaning of words and phrases in oral presentations and literary and informational text ELP C9 Create clear and coherent grade-appropriate speech and text ELP C10 Make accurate use of standard English to communicate in grade- appropriate speech and writing MP 1 Make sense of problems and persevere in solving them MP 3 Construct viable arguments and critique reasoning of others MP 5 Use appropriate tools strategically MP 6 Attend to precision EP 7 Use technology and digital media strategically and capably MATHEMATICS 6.NS.B.3 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. 7.NS.A.A-2 Adding, subtracting, multiplying, and dividing rational numbers is the culmination of numerical work with the four basic operations. Updated 10/5/ :33 PM 19

20 UNIT 5: Lesson 17: Understanding Fractions (1 week / 5 days) pages Resources T E A C H I N G R E S O U R C E S Access Math Teacher s edition Math Assessment Book A D D I T I O N A L S U P P O R T I N G R E S O U R C E S Lexia Core 5 Rosetta Stone Bilingual dictionary Brain Pop ESL Brain Pop Updated 10/5/ :33 PM 20

21 UNIT 5: Lesson 17: Understanding Fractions (1 week / 5 days) pages Activities for Understanding SUGGESTIONS Students will volunteer explaining the three ways fractions were used in the examples on pages 104 and 105 student book (as part of a whole, part of a set, and division.) Have each student choose a way, draw a model on the board, and explain it. Students will be divided in pairs and find three situations that can be described by ¼. One situation should be part of a whole, one part of a set, and the third division. Students will be placed in small groups (3-4 students) and will compare the pictures of the models on page 106 student book. Ask them which fraction in each pair is in simplest form and tell why they chose that fraction. Students will work in small groups to find equivalent fractions on an inch ruler. Have one student point to a tick mark between 0 and 1 inch. The other students should name as many fractions as they can for that tick mark. Tell them that any mark that can be named by only one fraction represents a fraction in simplest form. Updated 10/5/ :33 PM 21

22 UNIT 5: Lesson 18: Mixed Numbers (1 week / 5 days) pages Overview The students will develop understanding of fractions as parts of unit wholes, as parts of a collection, as location on number lines, and as divisions of whole numbers. CONTENT Write improper fractions as mixed numbers Write mixed numbers as improper fractions Recognize multiple meanings of proper and improper Describe fractions LOUISIANA STUDENT CONNECTORS FOR ENGLISH LEARNERS ELP C1 Construct meaning from oral presentations and literary and informational text through grade-appropriate listening, reading, and viewing ELP C2 Participate in grade-appropriate oral and written exchanges of information, ideas, and analyses, responding to peer, audience, or reader comments and questions. ELP C8 Determine the meaning of words and phrases in oral presentations and literary and informational text ELP C9 Create clear and coherent grade-appropriate speech and text ELP C10 Make accurate use of standard English to communicate in grade- appropriate speech and writing MP 1 Make sense of problems and persevere in solving them MP 3 Construct viable arguments and critique reasoning of others MP 5 Use appropriate tools strategically MP 6 Attend to precision EP 7 Use technology and digital media strategically and capably MATHEMATICS 6.NS.B.3 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. 7.NS.A.A-2 Adding, subtracting, multiplying, and dividing rational numbers is the culmination of numerical work with the four basic operations. Updated 10/5/ :33 PM 22

23 UNIT 5: Lesson 18: Mixed Numbers (1 week / 5 days) pages Resources T E A C H I N G R E S O U R C E S Access Math Teacher s edition Math Assessment Book A D D I T I O N A L S U P P O R T I N G R E S O U R C E S Lexia Core 5 Rosetta Stone Bilingual dictionary Brain Pop ESL Brain Pop Updated 10/5/ :33 PM 23

24 UNIT 5: Lesson 18: Mixed Numbers (1 week / 5 days) pages Activities for Understanding SUGGESTIONS Students will list ten fractions, some proper and some improper. Have partners classify each fraction as proper or improper and show how to write each improper fraction as a mixed number. Students will write proper fraction, improper fraction, and mixed number on a sheet of paper. Have them read through the examples on page 110 student book and then draw a model to illustrate each term. Students will be grouped in pairs and ask to alternate writing an improper fraction and having the partner use division to find the corresponding mixed number. Have student explain how they did it. Updated 10/5/ :33 PM 24

25 UNIT 5: Lesson 19: Comparing and Ordering(1 week / 5 days) pages Overview Students should compare and order fractions and decimals efficiently and find their approximate locations on a number line. CONTENT Compare and order fractions and decimals Compare and order mixed numbers and fractions Compare fractional parts using models LOUISIANA STUDENT CONNECTORS FOR ENGLISH LEARNERS ELP C1 Construct meaning from oral presentations and literary and informational text through grade-appropriate listening, reading, and viewing ELP C2 Participate in grade-appropriate oral and written exchanges of information, ideas, and analyses, responding to peer, audience, or reader comments and questions. ELP C8 Determine the meaning of words and phrases in oral presentations and literary and informational text ELP C9 Create clear and coherent grade-appropriate speech and text ELP C10 Make accurate use of standard English to communicate in grade- appropriate speech and writing MP 1 Make sense of problems and persevere in solving them MP 3 Construct viable arguments and critique reasoning of others MP 5 Use appropriate tools strategically MP 6 Attend to precision EP 7 Use technology and digital media strategically and capably MATHEMATICS 6.NS.B.3 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. 7.NS.A.A-2 Adding, subtracting, multiplying, and dividing rational numbers is the culmination of numerical work with the four basic operations. Updated 10/5/ :33 PM 25

26 UNIT 5: Lesson 19: Comparing and Ordering(1 week / 5 days) pages Resources T E A C H I N G R E S O U R C E S Access Math Teacher s edition Math Assessment Book A D D I T I O N A L S U P P O R T I N G R E S O U R C E S Lexia Core 5 Rosetta Stone Bilingual dictionary Brain Pop ESL Brain Pop Updated 10/5/ :33 PM 26

27 UNIT 5: Lesson 19: Comparing and Ordering (1 week / 5 days) pages Activities for Understanding SUGGESTIONS Students will be divided in small groups and each group will get catalogs or grocery ads from several different stores. Have them compare prices for several items. Ask, Why do you need to make sure you are comparing the same product and the same size of that item? (The comparison doesn t mean anything if the items are not alike.) Have student list each item and use mathematical symbols to show the comparisons. Students will work in pairs drawing line segments measuring ½, 7/8, 5/8, and ¼ in. Ask them to visually compare the lengths and write the order from least to greatest. Then have them order the fractions using either method on page 115 student book (1/4, ½, 5/8, 7/8.) Students will work in small groups aligning their pencils on a sheet of paper from shortest to longest. Then have them measure each pencil and write its length next to it. Have them write the lengths from least to greatest and note that some of the order depends on only the whole-number part. Updated 10/5/ :33 PM 27