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1 | Wilson Central School District Curriculum Template Subject/Grade: Math / Grade 5 | ||||||||||||||||||||||||||||||
2 | Unit:1 - Adding and Subtraction w/ Fractions | ||||||||||||||||||||||||||||||
3 | Teacher: France, Hirschman, Kurtz, Shaw, Thompson | ||||||||||||||||||||||||||||||
4 | Time Frame | Lesson | Essential Questions | Standards | Vocabulary | Content/Skills | Resources | Specially Designed Instruction | Assessment/Common Assessments | ||||||||||||||||||||||
5 | |||||||||||||||||||||||||||||||
6 | Unit 1, Big Idea 1 - Equivalent Fractions | ||||||||||||||||||||||||||||||
7 | September | Lesson 1 - Introduce the MathBoard | How can equivalent fractions be used as a strategy to add and subtract fractions? | 5.OA.1 | denominator | n-split | Students will use fraction bars to discuss basic fraction ideas. | Student Activity Pages 1-2 | Unknown Addend Fraction Cards, Math Activity Center, Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer 1-6, Intermediate Vocabulary Game | ||||||||||||||||||||||
8 | Lesson 2 - Explain Equivalent Fractions | 5.OA.2 | fraction | unsimplify | Students will generate and explain simple equivalent fractions. | Student Activity Pages 3-4 | Math Activity Center, Poggles MX, Personal Math Trainer 1-2 | ||||||||||||||||||||||||
9 | Lesson 3 - Equivalent Fractions and Multipliers | 5.NF.1 | numerator | benchmark | Students will learn about the role of the multiplier in equivalent fractions. | Student Activity Pages 5-6 | Math Activity Center, Poggles MX, Personal Math Trainer 1-3 | ||||||||||||||||||||||||
10 | Lesson 4 - Strategies for Comparing Fractions | 5.NF.2 | unit fraction | common denominator | Students will use a variety of strategies to compare fractions. | Student Activity Pages 7-8 | Cross-Multiplication, Unknown Addend Fraction Cards, Math Activity Center, Poggles MX, Personal Math Trainer 1-4 | ||||||||||||||||||||||||
11 | Lesson 5 - Fractions Greater than One | 5.MD.2 | equivalent fractions | commom factor | Students will convert between fractions and mixed numbers. | Student Activity Pages 9-10 | Math Activity Center, Poggles MX, Math Worlds AR, Personal Math Trainer 1-5 | ||||||||||||||||||||||||
12 | Big Idea 1 Quick Quiz 1 | mixed number | less than | Student Activity Book Page 17 | |||||||||||||||||||||||||||
13 | Strategy Check 1 | multiplier | greater than | Student Activity Book Page 18 | |||||||||||||||||||||||||||
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21 | Unit 1, Big Idea 2 - Addition and Subtraction of Fractions | ||||||||||||||||||||||||||||||
22 | Lesson 6 - Add and Subtract Like Mixed Numbers | How can equivalent fractions be used as a strategy to add and subtract fractions? | add on | round | Students will add and subtract mixed numbers with like denominators. | Student Activity Pages 11-12 | Grid Paper TRB M24, Fraction Bars TRB M43, Math Activity Center, Poggles MX, Personal Math Trainer 1-6 | ||||||||||||||||||||||||
23 | Lesson 7 - Add Unlike Fractions | regroup | Students will add factions with different denominators. | Student Activity Pages 13-14 | Math Reader: Fractions Add Up!, Math Activity Center, Poggles MX, Personal Math Trainer 1-7, Intermediate Vocabulary Game | ||||||||||||||||||||||||||
24 | Lesson 8 - Subtract Unlike Fractions | ungroup | Students will subtract fractions with different denominators. | Student Activity Pages 15-16 | Math Reader: Fractions Add Up!, Math Activity Center, Poggles MX, Personal Math Trainer 1-8, Intermediate Vocabulary Game, "What's the Difference?" Gameboard | ||||||||||||||||||||||||||
25 | Lesson 9 - Add and Subtract Unlike Mixed Numbers | line plot | Students add and subtract mixed numbers with unlike denominators. | Student Activity Pages 17-18 | Math Reader: Fractions Add Up!, Math Activity Center, Poggles MX, Personal Math Trainer 1-9, Intermediate Vocabulary Game, "What's the Difference?" Gameboard | ||||||||||||||||||||||||||
26 | Lesson 10 - Practice with Unlike Mixed Numbers | benchmark | Students solve problems involving the addition and subraction of mixed numbers with unlike denominators. | Student Activity Pages 19-20 | Math Reader: Fractions Add Up!, Math Activity Center, Poggles MX, Personal Math Trainer 1-10, Intermediate Vocabulary Game, "What's the Difference?" Gameboard | ||||||||||||||||||||||||||
27 | Lesson 11 - Reasonable Answers | estimate | Students estimate sums and differences of fractions and mixed numbers and use estimates to decide whether their answers for problems are reasonable. | Student Activity Pages 21-22 | Math Reader: Fractions Add Up!, Math Activity Center, Poggles MX, Personal Math Trainer 1-11, Intermediate Vocabulary Game, "What's the Difference?" Gameboard | ||||||||||||||||||||||||||
28 | Lesson 12 - Real World Problems | situation equation | Students solve real world problems involving fractions and mixed numbers and use estimates to determine whether their answers are reasonable. | Student Activity Pages 23-24 | Math Reader: Fractions Add Up!, Math Activity Center, Poggles MX, Personal Math Trainer 1-12, Intermediate Vocabulary Game, "What's the Difference?" Gameboard | ||||||||||||||||||||||||||
29 | Lesson 13 - Focus on Mathematical Practices | solution equation | Students solve real world problems involving fractions and mixed numbers. | Student Activity Pages 25-26 | Math Reader: Fractions Add Up!, Math Activity Center, Poggles MX, Personal Math Trainer 1-13, Intermediate Vocabulary Game, "What's the Difference?" Gameboard | ||||||||||||||||||||||||||
30 | Big Idea 2 Quick Quiz 2 | Student Activity Page 35 | |||||||||||||||||||||||||||||
31 | Strategy Check 2 | Student Activity Page 36 | |||||||||||||||||||||||||||||
32 | Unit 1 Review/Test | https://drive.google.com/open?id=194Yoa5UdWvAf-aCUVUVafgGptSTOnggi | |||||||||||||||||||||||||||||
33 | Unit 2 - Addition and Subtraction With Decimals | ||||||||||||||||||||||||||||||
34 | Unit 2, Big Idea 1 - Read and Write Whole Numbers and Decimals | ||||||||||||||||||||||||||||||
35 | Lesson 1- Decimals as Equal Divisions | What is the place value system? How do you read and write whole numbers and decimals? | 5.OA.1 | decimal | standard form | Students learn about decimals as equal divisions of a whole. | Student Activity Pages 27-28 | dimes and pennies, Math Activity Center, Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer 2-1 | |||||||||||||||||||||||
36 | Lesson 2 - Thousands to Thousandths | 5.NBT.1 | tenth | word form | Students expand their understanding of decimals to thousandths. | Student Activity Pages 29-30 | Secret Code Cards, Math Activity Center, Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer 2-2 | ||||||||||||||||||||||||
37 | Lesson 3 - Equate and compare Thousanths | 5.NBT.3 | hundreth | expanded form | Students compare decimal numbers through thousandths. | Student Activity Pages 31-32 | Whole Numbers and Number Lines (TRB M41), Secret Code Cards, Math Activity Center, Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer 2-3 | ||||||||||||||||||||||||
38 | Big Idea 1 Quick Quiz 1 | 5.NBT.3.A | thousandth | equivialent deciamal | Student Activity Page 53 | ||||||||||||||||||||||||||
39 | Strategy Check 3 | Student Activity Page 54 | |||||||||||||||||||||||||||||
40 | Unit 2, Big Idea 2 - Addition and Subtraction | ||||||||||||||||||||||||||||||
41 | Lesson 4 - Adding and Subtracting Decimals | How is the place value system releated to multi-digit whole numbers and decimals when adding and subtracting? What rules must you remember when adding and subtracting both whole numbers and decimals? | 5.NBT.3.B | meter | Student Activity Pages 33-34 | Math Activity Center, Poggles MX, Personal Math Trainer 2-4, Intermediate Vocabulary Game | |||||||||||||||||||||||||
42 | Lesson 5 -_ Add whole Numbers and Decimals | 5.NBT.4 | decimeter | break apart drawing | Students use models to add and subtract decimals. | Student Activity Pages 35-36 | TRB M38 or M39 Lined Paper, Grid Paper TRB M24, Math Activity Center, Poggles MX, Personal Math Trainer 2-5, Intermediate Vocabulary Game | ||||||||||||||||||||||||
43 | Lesson 6 - Subtract Whole and Decimal Numbers | 5.NBT.7 | centimeter | ungroup | Students add decimals by alighning their place values. | Student Activity Pages 37-38 | Math Reader: A Hundredth of a Second, Math Activity Center, Poggles MX, Personal Math Trainer 2-6, Intermediate Vocabulary Game, "Ride the Course" Gameboard | ||||||||||||||||||||||||
44 | Lesson 7 - Properrties and Strategies | 5.NF.1 | millimeter | Commutative Property of Addition | Students use the Commutative and Associative Properties of Addition and the Distributive Property to compute mentally. | Student Activity Pages 39-40 | Math Reader: A Hundredth of a Second, Math Activity Center, Poggles MX, Personal Math Trainer 2-7, Intermediate Vocabulary Game, "Ride the Course" Gameboard | ||||||||||||||||||||||||
45 | 5.MD.1 | grouping | Associative Property of Addition | ||||||||||||||||||||||||||||
46 | ungrouping | Distributive Property of Multiplication over Addition | |||||||||||||||||||||||||||||
47 | Big Idea 1 Quick Quiz 2 | Student Activity Page 63 | |||||||||||||||||||||||||||||
48 | Strategy Check 4 | Student Activity Page 64 | |||||||||||||||||||||||||||||
49 | Unit 2, Big Idea 3 - Round and Estimate with Decimals | ||||||||||||||||||||||||||||||
50 | Lesson 8- Round and Estimate with Decimals | How is the place value system related to rounding and estimating decimals? | round | Students estimate decimal sum and differences. ' | Student Activity Pages 41-42 | Math Reader: A Hundredth of a Second, Math Activity Center, Poggles MX, Personal Math Trainer 2-8, Intermediate Vocabulary Game, "Ride the Course" Gameboard | |||||||||||||||||||||||||
51 | Lesson 9- Graphs with Decimal Numbers | estimate | Students interpret and construct bar graphs that involve decimal numbers. | Student Activity Pages 43-44 | Math Reader: A Hundredth of a Second, Math Activity Center, Poggles MX, Personal Math Trainer 2-9, Intermediate Vocabulary Game, "Ride the Course" Gameboard | ||||||||||||||||||||||||||
52 | Lesson 10- Focus on Mathematical Practices | Students practice skills learned throughout unit to solve real world problems involving decimals. | Student Activity Pages 45-46 | Math Reader: A Hundredth of a Second, Math Activity Center, Poggles MX, Personal Math Trainer 2-10, Intermediate Vocabulary Game, "Ride the Course" Gameboard | |||||||||||||||||||||||||||
53 | Big Idea 3 Quick Quiz 3 | tegy Check 5 | Student Activity Page 71 | ||||||||||||||||||||||||||||
54 | Strategy Check 5 | Student Activity Page 72 | |||||||||||||||||||||||||||||
55 | Unit 2 Review/Test | Unit 2 Student Test | |||||||||||||||||||||||||||||
56 | Unit 3,- Multiplication and Division with Fractions | ||||||||||||||||||||||||||||||
57 | Unit 3, Big Idea 1 - Multiplicationn with Fractions | ||||||||||||||||||||||||||||||
58 | Lesson 1- Basic Multiplication Concepts | How can previous knowledge of multiplication and division be used to multiply and divide fractions? | 5.OA.1 | comparision bars | area model for multiplication | Students will make the connection between multiplying by 1/n to dividing by n and extend this understanding to make multiplicative comparisons. | Student Activity Pages 47-48 | Poggles MX, Intermediate Vocabulary Game, Math Worlds AR, Personal Math Trainer Lesson 3-1 | |||||||||||||||||||||||
59 | Lesson 2- Multiplication with Non-Unit Fractions | 5.NF.1 | multiplicative comparison | faction bar model for multiplication | Students will interpret a/b times a quantity as a of b parts of that quantity. | Student Activity Pages 49-50 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 3-2 | ||||||||||||||||||||||||
60 | Lesson 3_ Multiplication with Fractional Solutions | 5.NF.2 | factor | Multiply and Simplify Method | Students multiply a whole number by a fraction when the product is a fraction. | Student Activity Pages 51-52 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 3-3 | ||||||||||||||||||||||||
61 | Lesson 4- Multiply a Fraction by a Fraction | 5.NF.3 | product | Simplify and Multiply Method | Students multiply any two fractions. | Student Activity Pages 53-54 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 3-4, Fraction Factors Boardgame, blank transparencies | ||||||||||||||||||||||||
62 | Lesson 5 - Multiplication Strtegies | 5.NF.4.B | Unit Fraction Method | Students learn strategies to simplify multiplication of fractions. | Student Activity Pages 55-56 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 3-5, Fraction Factors Gameboard | |||||||||||||||||||||||||
63 | Lesson 6- Multiply Mixed Numbers | 5.NF.4.A | Students multiply mixed numbers. | Student Activity Pages 57-58 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 3-6, Fraction Factors Gameboard | ||||||||||||||||||||||||||
64 | Big Idea 1 Quick Quiz 1/Strategy Check | 5.NF.4 | Student Activity Page 99 | ||||||||||||||||||||||||||||
65 | Strategy Check 6 | Student Activity Page 100 | |||||||||||||||||||||||||||||
66 | Unit 3, Big Idea 2 - Multiplication Links | ||||||||||||||||||||||||||||||
67 | Lesson 7- Relate Fraction Operations | How can previous knowledge of multiplication and division be used to multiply and divide fractions? | 5.NF.5 | Associative Property | Students relate the operations with fractions to operations with whole numbers. | Student Activity Pages 59-60 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 3-7 | ||||||||||||||||||||||||
68 | Lesson 8- Solve Real World Problems | 5.NF.5.A | Commutative Property | Students will add, subtract, multiply, and compare fractions to solve problems. | Student Activity Pages 61-62 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 3-8 | |||||||||||||||||||||||||
69 | Lesson 9- Make Generalizations | 5.NF.5.B | Distributive Property | Students will predict how the size of a fractional factor will affect the size of the product relative to the other factor. | Student Activity Pages 63-64 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 3-9, Fraction Factors Gameboard, index cards | |||||||||||||||||||||||||
70 | Big Idea 2 Quick Quiz 2/ Strategy Check | 5.NF.6 | |||||||||||||||||||||||||||||
71 | Unit 3, Big Idea 3 - Division with Fractions | ||||||||||||||||||||||||||||||
72 | Lesson 10-When Dividing is Also Multiplying | How can previous knowledge of multiplication and division be used to multiply and divide fractions? | 5.NF.7 | decimal fraction | Students will learn how division by a unit fraction or a whole number relates to multiplication. | Student Activity Pages 65-66 | Math Reader: Cranking Out the Numbers, Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 3-10, masking tape & counters | ||||||||||||||||||||||||
73 | Lesson 11- Solve Division Problems | 5.NF.7.A | dividend | Students will use diagrams to analyze division problems and learn to solve them. | Student Activity Pages 67-68 | Math Reader: Cranking Out the Numbers, Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 3-11, Fraction Factors Gameboard | |||||||||||||||||||||||||
74 | Lesson 12- Distinguish Multiplication from Division | 5.NF.7.B | divisor | Students will discern whether word problems should be solved by multiplication or division equations. | Student Activity Pages 69-70 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 3-12, Fraction Factors Gameboard | |||||||||||||||||||||||||
75 | Lesson 13- Review Operations with Fractions | 5.NF.7.C | quotient | Students will analyze and solve a variety of problems involving fractions and all the other operations. | Student Activity Pages 71-72 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 3-13, Fraction Factors Gameboard | |||||||||||||||||||||||||
76 | Lesson 14- Focus on Mathematical Practices | 5.MD.2 | Students will solve real world problems involving division with fractions. | Student Activity Pages 73-74 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 3-14, Fraction Factors Gameboard | ||||||||||||||||||||||||||
77 | Big Idea 3 Quick Quiz 3/ Strategy Check | ||||||||||||||||||||||||||||||
78 | Unit 3 Review/Test | Unit 3 Student Test | |||||||||||||||||||||||||||||
79 | Unit 4 - Multiplication with Whole Numbers | ||||||||||||||||||||||||||||||
80 | Unit 4, Big Idea 1 - Multiplication with Whole Numbers | ||||||||||||||||||||||||||||||
81 | Lesson 1- Shift Petterns in Multiplication | How do multiples of five affect zero patterns? How are place value positions affected when multipied by powers of ten? | 5.OA.1 | shift | partial products | Students will learn how the digits of a number shift their place value positions when multiplied by powers of 10. | Student Activity Pages 75-76 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 4-1 | |||||||||||||||||||||||
82 | Lesson 2- Patterns with Fives and Zeros | 5.NBT.1 | base | Place Value Sections Method | Students will learn how multiples of 5 affect the zeros pattern. | Student Activity Pages 77-78 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 4-2 | ||||||||||||||||||||||||
83 | Lesson 3- Sharing Methods for multiplication | 5.NBT.2 | exponent | Expanded Notation Method | Students will use place value models to help them solve multi-digit multiplication problems. | Student Activity Pages 79-80 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 4-3 | ||||||||||||||||||||||||
84 | Lesson 4- Multiply Two-Digit Numbers | 5.NBT.3 | exponenial form | New Groups Below Method | Students will learn new mentods, New Groups Below Method, Place Value Rows Method, and Short Cut Method, to multiply multi-digit numbers. | Student Activity Pages 81-82 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 4-4, Lined Paper TRB M39 | ||||||||||||||||||||||||
85 | Lesson 5- Practice Multiplication | 5.NBT.3.B | power of ten | Place Value Rows Method | Students develop fluency multiplying mult-digit numbers. | Student Activity Pages 83-84 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 4-5, Math Reader: Doubling Every Day | ||||||||||||||||||||||||
86 | 5.NBT.4 | even | Short Cut Method | ||||||||||||||||||||||||||||
87 | 5.NBT.5 | odd | |||||||||||||||||||||||||||||
88 | Big Idea 1 Quick Quiz 1/ Fluency Check | 5.NBT.7 | |||||||||||||||||||||||||||||
89 | Unit 4, Big Idea 2 - Multiplication with Decimal Numbers | ||||||||||||||||||||||||||||||
90 | Lesson 6- Multiply Deciamls by Whole Numberes | How is multipying decimals different than multiplying whole numbers? How can estimation help determine if an answer is reasonable? | 5.NF.5 | Commutative Property of Multiplication | Students will solve multiplication problems in which one factor is a decimal number. | Student Activity Pages 85-86 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 4-6 | ||||||||||||||||||||||||
91 | Lesson 7- Multipoly by Decimals | 5.NF.5.A | Associative Property of Multiplication | Students will expand their skills to multiplying a whole or decimal number by a decimal number. | Student Activity Pages 87-88 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 4-7, Math Reader: Doubling Every Day, Powerful Products Gameboard, grid paper | |||||||||||||||||||||||||
92 | Lesson 8- Multiply with Decimals Greater than 1 | 5.NF.5.B | Distributive Property of Multiplication over Addition | Students will multiply with decimals that are greater than 1. | Student Activity Pages 89-90 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 4-8, Math Reader: Doubling Every Day | |||||||||||||||||||||||||
93 | Lesson 9- Compater Shift Petterns | Students will compare shift patterns when multiplying by whole numbers and when mutliplying by decimals. | Student Activity Pages 91-92 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 4-9, Math Reader: Doubling Every Day, Powerful Products Gameboard | |||||||||||||||||||||||||||
94 | Lesson 10- Estimate Products | Students will round whole numbers and decimal numbers to estimate a product. | Student Activity Pages 93-94 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 4-10, Math Reader: Doubling Every Day | |||||||||||||||||||||||||||
95 | Lesson 11- Multiplication Practice | Students will solve a variety of problems that involve multiplying decimal numbers. | Student Activity Pages 95-96 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 4-11, Math Reader: Doubling Every Day | |||||||||||||||||||||||||||
96 | Lesson 12- Focus on Mathematical Practices | Students will solve real world problems using multiplication of multi-digit decimal numbers. | Student Activity Pages97-98 | Poggles MX, Intermediate Vocabulary Game, Personal Math Trainer Lesson 4-12, Math Reader: Doubling Every Day, Powerful Products Gameboard | |||||||||||||||||||||||||||
97 | Big Idea 2 Quick Quiz 2/Fluency Check 2 | ||||||||||||||||||||||||||||||
98 | Unit 4 Review/Test | Unit 4 Student Test | |||||||||||||||||||||||||||||
99 | Unit 5 - Division with Whole Nummbers | ||||||||||||||||||||||||||||||
100 | Unit 5, Big Idea 1 - Division with Whole Numbers | ||||||||||||||||||||||||||||||