Grade 5
TEACHER___5th Grade Classroom Teacher_ SUBJECT/GRADE __Math-5th______
SIOP Model (research based)Unit/Theme:
Common Core Standards:
Learning outcomes… / Fractions
CC.5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.
CC.5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
CC.5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, ¼, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. (Lesson 10)
Content Objective(s):
Identify what students should know and be able to do….
Language Objective(s): / Students will be able to add and subtract fractions with unlike denominators (including mixed numbers) by creating equivalent fractions.
Students will be able to convert improper fractions to mixed numbers and mixed numbers to improper fractions.
Students will compare two fractions.
Students identify key vocabulary for assigned lesson.
Students will demonstrate how to find equivalent fractions.
Students will listen and retell steps to finding equivalent fractions.
Students will listen and retell step for changing improper fractions to mixed numbers and mixed numbers to improper fractions.
Key Vocabulary:
Technical terms, concept words, and other words….
Building Background:
Provide a real-life context and enable students to bridge prior experiences with new learning… / Content Words
Equivalent fraction common factor
Multiplier greater than
Simplify less than
Unsimplify mixed number
Benchmark estimate
common denominator round
Denominator Fraction
Numerator Unit fraction
benchmark / Academic Words
Model
Generate
Compare
Convert
Introduction of Fraction Boards. Discuss ways in which we use fractions “parts of a whole”. Discuss things we use that can be presented as a fraction.
Practice/Applications:
Meaningful activities, interaction, strategies, feedback….Reading, writing, listening, &/or speaking opportunities…. / “think pair share”
“turn to your partner”
Smart Board Lessons
Review/Assessment:
Review objectives & vocabulary assess learning….
Individual __X___
Group __X___
Reading __X___
Writing __X___
Listening __X___
Speaking __X___ / Formative Assessments:
Group Work
Daily Work
Quizzes
Observation
Discussion with student(s)
NWEA Test
Summative Assessment:
Unit 1 Test
Grade 5
TEACHER____5th Classroom Teachers______SUBJECT/GRADE _5th Math______
SIOP Model (research based)Unit/Theme:
Common Core Standards:
Learning outcomes… / Decimals
· CC.5.NBT.1: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
· CC.5.NBT. 3: Read, write, and compare decimals to thousandths.
· CC.5.NBT.3a: Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000).
· CC.5NBT.3b: Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
· CC.5.NBT.4: Use place value understanding to round decimals to any place.
CC.5.NBT.7: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used
Content Objective(s):
Identify what students should know and be able to do….
Language Objective(s): / Students will be able to add or subtract decimals.
Students will be able to add or subtract whole numbers and decimals.
Students will be able to compare decimals.
Students will be able to round decimals to a given place value.
Orally and in Writing:
Students will compare decimals.
Students will demonstrate how to add decimals.
Students will demonstrate how to subtract decimals.
Students will demonstrate how to add or subtract whole numbers and decimals.
Students will listen and retell steps for rounding decimals.
Key Vocabulary:
Technical terms, concept words, and other words….
Building Background:
Provide a real-life context and enable students to bridge prior experiences with new learning… / Content Words
Decimal Round
Tenth Estimate
Hundredth
Thousandth
Standard form
Word form
Expanded form
Power of ten
Equivalent decimal / Academic Words
Model
Identify
Equate
Compare
Generate
Convert
Smart Board (smart exchange) activity to introduce decimals and how they relate to our everyday lives.
Practice/Applications:
Meaningful activities, interaction, strategies, feedback….Reading, writing, listening, &/or speaking opportunities…. / Smart Board Lessons
“Turn to your partner”
“Think pair share”
Make sense of Problem Activities
Review/Assessment:
Review objectives & vocabulary assess learning….
Individual _X____
Group _X___
Reading _X____
Writing _X___
Listening _X____
Speaking _X____ / Formative Assessments:
Group Work
Daily Work
Quizzes
Observation
Discussion with student(s)
Summative Assessment:
Unit 2 Test
Grade 5
TEACHER_Hedblom,Schmitz, Pulscher, Berkenpas SUBJECT/GRADE 5th______
SIOP Model (research based)Unit/Theme:
Common Core Standards:
Learning outcomes… / Multiplication and Division of Decimals
· CC.5.NF.4: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
· CC.5.NF.4a: Interpret the product
· CC.5.NF.4b: Find the area of a rectangle with fractional side lengths
· CC.5.NF.5: Interpret multiplication as scaling
· CC.5.NF.5a: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the
indicated multiplication.
· CC.5.NF.5b: Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number
· CC.5.NF.6: Solve real world problems involving multiplication of fractions and mixed numbers
· CC.5.NF.7: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
· CC.5.NF.7a: Interpret division of a unit fraction by a non-zero whole number
· CC.5.NF.7b: Interpret division of a whole number by a unit fraction, and compute such quotient
· CC.5.NF.7c: Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit
fractions
Content Objective(s):
Identify what students should know and be able to do….
Language Objective(s): / Students will be able to multiply a fraction by a fraction.
Students will be able to multiply a fraction by a whole number.
Students will be able to multiply a fraction by a mixed number.
Students will be able to relate multiplying fractions and dividing fractions.
Orally and in Writing:
Students will demonstrate how to multiply a fraction by a fraction.
Students will demonstrate how to multiply a fraction by a whole number.
Students will demonstrate how to multiply a fraction by a mixed number.
Students will listen and explain steps to simplify fractions before multiplying.
Students will demonstrate how to divide fractions.
Key Vocabulary:
Technical terms, concept words, and other words….
Building Background:
Provide a real-life context and enable students to bridge prior experiences with new learning… / Content Words
Multiplying Divisor
Factor Quotient
Product Associative
Simplify Distributive
Mixed Numbers Commutative
Divide
Dividend / Academic Words
Compare
Visualize
Generalize
Model
Relate
Smart board(smart exchange) activity to introduce multiplying and dividing fractions.
Practice/Applications:
Meaningful activities, interaction, strategies, feedback….Reading, writing, listening, &/or speaking opportunities…. / Smart board Lessons
Make sense of Problems Activities
“Think,Pair, Share”
“Turn to your Partner”
Review/Assessment:
Review objectives & vocabulary assess learning….
Individual _X____
Group _X___
Reading __X__
Writing __X___
Listening __X___
Speaking __X___ / Formative Assessments:
Group Work
Daily Work
Quizzes
Observation
Discussion with student(s)
Summative Assessment:
Unit 3 Test
Grade 5
TEACHER_5th Classroom Teachers_ SUBJECT/GRADE__5th_Math______
SIOP Model (research based)Unit/Theme:
Common Core Standards:
Learning outcomes… / Multiplication with Whole Numbers and Decimals
· CC.5.NBT.1. Recognize that a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
· CC.5NBT.2 Explain patterns in number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents.
· CC.5.NBT.3. Read, write, and compare decimals to thousandths.
· CC.5.NBT.3b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
· CC.5.NBT.4. Use place value understanding to round decimals to any place.
· CC.5.NBT.5, 5a, 5b. Fluently multiply multi-digit whole numbers.
· CC.5.NBT.7. Multiply decimals to hundredths. Solve problems involving multiplication with whole numbers and decimals.
Content Objective(s):
Identify what students should know and be able to do….
Language Objective(s): / Students will be able to multiply decimals to the hundredths place.
Students will be able to
Students will be able to
Students will be able to
Orally and in Writing:
Students will
Key Vocabulary:
Technical terms, concept words, and other words….
Building Background:
Provide a real-life context and enable students to bridge prior experiences with new learning… / Content Words
Shift Decimal Fraction
Base Whole Digit
Exponent Decimal
exponential form Comparisons Bars
power of ten Multiplicative comparison
partial products
Place Value Sections
Expanded notations
Greater than
Less than / Academic Words
Practice/Applications:
Meaningful activities, interaction, strategies, feedback….Reading, writing, listening, &/or speaking opportunities…. / “Think, Pair, and Share”
“Turn to your Partner”
Smart board Lessons
Make Sense of Problems Activities
Review/Assessment:
Review objectives & vocabulary assess learning….
Individual _X____
Group _X____
Reading _X____
Writing _X____
Listening _X____
Speaking _X____ / Formative Assessments:
· Group Work
· Daily Work
· Quizzes
· Observation
· Discussion with student(s)
Summative Assessment:
Unit 4 Test
Grade 5
TEACHER_Classroom Teachers SUBJECT/GRADE __5th Math______
SIOP Model (research based) / Date:Beginning of FebruaryUnit/Theme:
Common Core Standards:
Learning outcomes… / Division with Whole Numbers and Decimals
· CC.5.NBT.2 Explain patterns in the whole number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a
decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. (Lesson 6,7,8)
· CC.5. NBT.3b Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. (Lesson 10)
· CC.5.NBT. 5 and 5a Fluently multiply multi-digit whole numbers using the standard algorithm, and interpret multiplication as scaling (resizing), by: Comparing the size of a product to the
size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. (Lesson 10)
· CC.5NBT. 6. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or
the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or are models. (lesson 1,2,3,4,5,9,10)
· CC.5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the
relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. (Lesson 6,7,8,9,10,11)
Content Objective(s):
Identify what students should know and be able to do….
Language Objective(s): / Students will be able to divide using whole numbers and decimals.
Students will be able to distinguish between multiplication and division.
Students will be able to divide decimals to the hundredths place value.
Students will be able to divide two decimal numbers.
Orally and in Writing:
Students will demonstrate how to divide whole numbers by decimals.
Students will listen and retell steps for dividing whole numbers by decimals.
Students will demonstrate how to divide decimals by whole numbers.
Students will demonstrate how to divide with two decimal numbers.
Key Vocabulary:
Technical terms, concept words, and other words….
Building Background:
Provide a real-life context and enable students to bridge prior experiences with new learning… / Content Words
Dividend Divisor Quotient
Remainder Overestimate Underestimate / Academic Words
Convert Model Identify
Compare Generate Demonstrate
Smart Board(smart exchange) activity to introduce division.
Use of hands on manipulatives
Practice/Applications:
Meaningful activities, interaction, strategies, feedback….Reading, writing, listening, &/or speaking opportunities…. / Smart Board Lessons
Think, Pair, Share
Think Central Resources
Turn to Your Partner
Review/Assessment:
Review objectives & vocabulary assess learning….
Individual _X____
Group _X____
Reading _X____
Writing _X____
Listening _X____
Speaking _X____ / Formative Assessments:
Homework and Remembering Worksheets
Group Work
Observations
Discussions with student(s)
Quizzes
Summative Assessment:
Unit Test
Grade 5
TEACHER_Hedblom,Schmitz, Pulscher, Berkenpas SUBJECT/GRADE 5th______
SIOP Model (research based)Unit/Theme:
Common Core Standards:
Learning outcomes… / Operations and Word Problems
· CC.5,OA.1Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. (Lesson 8)
· CC.5.NBT.4: Use place value understanding to round decimals to any place. (Lesson 4)
· CC.5.NBT.5: Fluently multiply multi-digit whole numbers using the standard algorithm. (Lesson 2,5,6,7,8,9)
· CC.5.NBT.6: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. (Lesson 2,4,6,7,9,10)
· CC.5.NBT.7: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. (Lesson 1,2,4,6,7,8,9,11)