SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
Course Title: Grade 5 enVisionmath 2.0
Content Area: Mathematics
Grade Level(s): 5
Course Description: The main goal of this course is to build upon students’ existing mathematics skills and knowledge in order to to support higher level
and critical thinking. Each unit includes strengthening of foundational skills; age-appropriate and standards-based lessons and activities; technology, crosscurricular, and real world applications; and differentiation to meet the unique needs of all students. This course will help prepare fifth grade students to
use mathematics to solve problems for themselves and others.
Curriculum Writer(s): Erin Deininger, Felicia Tvrdik, John Vaccarelli, and Meghan Vaccarelli
Date Created: July 2016
Date Approved by Board of Education: August 2016
Pacing Guide
Unit 1: Operations with Whole Numbers and Decimals
Unit 2: Fractions
Unit 3: Measurement and Data
Unit 4: Algebraic Reasoning
Unit 5: Geometry
10-11 weeks
8-9 weeks
4-5 weeks
4-5 weeks
2-3 weeks
1
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
Unit 1: Operations with Whole Numbers and Decimals
Unit Summary: This unit focuses on deepening the understanding of place value in both whole numbers and decimals. The unit also focuses on a
deepening the understanding of whole-number and decimal operations including multiplication and division of two-digit numbers and performing all
four operations on decimals to the hundredths.
Interdisciplinary Connections/Content Area Integrations Including Technology:
Reading Connection:
●
Problem-Solving Reading Mat, Problem-Solving Reading Activity, Interactive Math Story, My Word Cards, Fluency Practice Activity
Technology Connection:
●
Student eTexts, Animated Glossary, Digital Math Tools, math games, Visual Learning videos, Solve and Share, Another Look Homework Video,
Today’s Challenge
CCSS Number
CCSS Content
5.NBT.A.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.
2
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
5.NBT.A.2
Explain patterns in the 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.
5.NBT.A.3a
5.NBT.A.3b
Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 ×
100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000). Compare two decimals to thousandths based on meanings of
the digits in each place, using >, =, and < symbols to record the results of comparisons.
5.NBT.A.4
Use place value understanding to round decimals to any place.
5.NBT.B.5
Fluently multiply multi-digit whole numbers using the standard algorithm.
5.NBT.B.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.
5.NBT.B.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.
Summative Assessments:
●
●
●
●
Topic Assessment (Topics 1-6)
Topic Performance Assessment (Topics 1-6)
Unit assessment (teacher-made)
Benchmark Assessment
3
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
Formative Assessments:
●
●
●
●
●
●
●
●
●
●
●
●
Do Now activities
Exit slips
Google Forms/Flubaroo
Homework
Conferences
Quizzes
Mini-projects
Classroom discussion
Teacher observation using rubric
Student self-assessment (study guides, pre-tests, performance analysis)
Workbook pages
Supplemental practice handouts
Enduring Understandings:
● Understanding each digit’s place value in a number provides a way to understand the number’s value.
● Place value can be used to compare and order whole numbers and decimals.
● Models and algorithms for adding and subtracting multi-digit decimals are just an extension of models and algorithms used to add and subtract
whole numbers.
● Estimating products is a useful technique to quickly solve mathematical problems.
● No matter the size of the numbers, the standard algorithm for multiplying whole numbers is always based on properties of operations and can
be used to solve problems.
● The standard multiplication algorithm used with decimals is an extension of the standard algorithm used with whole numbers. You can use
models to represent multiplication problems and communicate ideas to others.
4
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
●
Using compatible numbers is one of many estimation strategies that can be used to estimate a quotient.
Dividing with two-digit divisors is just an extension of the steps for dividing with one-digit divisors.
The standard division algorithm used with decimals is an extension of the standard algorithm used with whole numbers. You can use models to
represent division problems and communicate ideas to others.
Essential Questions:
● How are whole numbers and decimals written, compared, and ordered?
● How can sums and differences of decimals be estimated?
● What are the standard procedures for estimating and finding products of multi-digit numbers?
● What are the standard procedures for estimating and finding products involving decimals?
● What is the standard procedure for division and why does it work?
● What are standard procedures for estimating and finding quotients involving decimals?
Instructional Outcomes:
● Use patterns and the properties of multiplication to calculate a product when multiplying by a product of 10; use whole-number exponents to
write powers of 10.
● Read and write whole numbers using standard form, expanded form, and number names.
● Represent decimals to thousandths as fractions and fractions with denominators of 1,000 as decimals.
● Read and write numbers with decimals through thousandths using standard form, expanded form, and number names; identify equivalent
decimals.
● Use place value to compare decimals through thousandths.
5
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
Use place value to round decimals to different places.
Use the structure of the decimal place value system in order to solve problems involving patterns.
Use rounding or compatible numbers to estimate sums and differences.
Add and subtract decimals to the nearest hundredths using the standard algorithm.
Use place value understandings and patterns to mentally multiply whole numbers and powers of 10.
Multiply three-digit by two-digit numbers by combining equal groups and adding partial products.
Use models and strategies to solve word problems.
Use models to represent multiplying a decimal and a whole number.
Use grids to model decimals and find the product of a decimal and a decimal.
Use number sense and reasoning to place the decimal point in a product.
Use place value patterns, compatible numbers, models, and mental math to find quotients.
Solve division problems using partial quotients and when the divisor is a multiple of 10.
Use estimation when deciding whether a quotient is reasonable when dividing two-digit numbers.
Use mental math and place value patterns to divide a decimal by a power of 10.
Use models to help find quotients in problems involving decimals.
Use the standard algorithm for division to divide decimals by a whole number.
Use models to visualize the relationship between division and multiplication to divide decimals by a two-digit whole number.
Use the standard algorithm and place value patterns to divide a decimal by another decimal.
Suggested Learning Activities:
Textbook Lessons and Activities from enVisionmath2.0
● Topic 1: Understand Place Value
6
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
●
○ Lesson 1-1: Patterns with Exponents and Powers of 10
○ Lesson 1-2: Understand Whole Number Place Values
○ Lesson 1-3: Decimals to Thousandths
○ Lesson 1-4: Understand Decimal Place Value
○ Lesson 1-5: Round Decimals
○ Lesson 1-6: Compare Decimals
Topic 2: Add and Subtract Decimals to Hundredths
○ Lesson 2-1: Mental Math
○ Lesson 2-2: Estimate Sums and Differences
○ Lesson 2-3: Use Models to Add and Subtract Differences
○ Lesson 2-4: Add Decimals
○ Lesson 2-5: Subtract Decimals
○ Lesson 2-6: Add and Subtract Decimals
Topic 3: Fluently Multiply Multi-Digit Whole Numbers
○ Lesson 3-1: Multiply Greater Numbers by Powers of 10
○ Lesson 3-2: Estimate Products
○ Lesson 3-3: Multiply 3 Digit by 2 Digit Numbers
○ Lesson 3-4: Multiply Whole Numbers by Zeros
○ Lesson 3-5: Multiply Multi-Digit Numbers
○ Lesson 3-6: Solve Word Problems by Using Multiplication
Topic 4: Use Models and Strategies to Multiply Decimals
○ Lesson 4-1: Multiply Decimals by Powers of 10
○ Lesson 4-2: Estimate the Product of a Decimal and a Whole Number
○ Lesson 4-3: Use Models to Multiply a Decimal and a Whole Number
7
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
○ Lesson 4-4: Multiply a Decimal and a Whole Number
○ Lesson 4-5: Use Models to Multiply a Decimal and a Decimal
○ Lesson 4-6: Multiply Decimals Using Partial Products
○ Lesson 4-7: Use Properties to Multiply Decimals
○ Lesson 4-8: Use Number Sense to Multiply Decimals
○ Lesson 4-9: Multiply Decimals
Topic 5: Use Models and Strategies to Divide Whole Numbers
○ Lesson 5-1: Use Patterns and Mental Math to Divide
○ Lesson 5-2: Estimate Quotients with 2 Digit Divisors
○ Lesson 5-3: Use Models to Divide with 2 Digit Divisors
○ Lesson 5-4: Use Partial Quotients to Divide
○ Lesson 5-5: Divide by Multiples of 10
○ Lesson 5-6: Use Estimation to Place the First Digit of the Quotient
Topic 6: Use Models and Strategies to Divide Decimals
○ Lesson 6-1: Patterns for Dividing Decimals
○ Lesson 6-2: Estimate Decimal Quotients
○ Lesson 6-3: Use Models to Divide by a 1 Digit Whole Number
○ Lesson 6-4: Divide by a 1 Digit Whole Number
○ Lesson 6-5: Divide by a 2 Digit Whole Number
○ Lesson 6-6: Use Number Sense to Divide Decimals
○ Lesson 6-7 and 6-8: Divide by a Decimal
Additional Activities
● Study Island 5th Grade Math (Common Core)- Edition 2 (organized by standard)
8
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
●
●
●
●
●
○ www.studyisland.com
Khan Academy Place Value and Decimals
○ https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top
Interactive Math Notebook for Teaching Place Value
○ http://www.teachingwithamountainview.com/2014/08/teaching-place-value.html
Math Chimp Interactive Games
○ http://www.mathchimp.com/
Dividing Decimals Board Game
○ http://www.fortheloveofteachingmath.com/wp-content/uploads/2012/03/Dividing-Decimals-Board-Game.pdf
Multiplying and Dividing Decimals Jeopardy Game
○ http://www.math-play.com/Decimals-Jeopardy/decimals-jeopardy.html
Adding and Subtracting Decimals Using Restaurant Menus
○ https://www.teachervision.com/decimals/lesson-plan/3032.html
○ http://www.cpalms.org/Public/PreviewResourceLesson/Preview/33126
Decimals and Place Value Activities
○ http://www.education.com/activity/decimals/
Suggested Differentiation:
● Tier 1: As needed, provide more instruction that is on or below grade level for students who are struggling. Strategies include: Math Diagnosis
and Intervention System 2.0 and resources for fluency success.
9
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
Tier 2: Assess to identify students’ strengths and needs and then provide appropriate support. Strategies include: quick checks, intervention
activities, reteach to build understanding, technology center, homework and practice, on-level and advanced activity centers (center games,
math and science activities, problem-solving reading mats).
Tier 3: Strategies include: guiding questions, error interventions, higher order thinking questions, and Practice Buddy Online.
Curriculum Development Resources:
● https://www.pearsonrealize.com
● http://www.nj.gov/education/modelcurriculum/math/5.shtml
● www.studyisland.com
● https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top
● http://www.teachingwithamountainview.com/2014/08/teaching-place-value.html
● http://www.mathchimp.com/
● http://www.fortheloveofteachingmath.com/wp-content/uploads/2012/03/Dividing-Decimals-Board-Game.pdf
● http://www.math-play.com/Decimals-Jeopardy/decimals-jeopardy.html
● https://www.teachervision.com/decimals/lesson-plan/3032.html
● http://www.cpalms.org/Public/PreviewResourceLesson/Preview/33126
● http://www.education.com/activity/decimals/
Notes/Comments:
10
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
Unit 2: Fractions
Unit Summary: This unit focuses on creating a deep understanding of using equivalent fractions to add and subtract fractions and mixed numbers. It also
focuses on extending the deep understanding of multiplication and division from whole numbers to fractions.
Interdisciplinary Connections/Content Area Integrations Including Technology:
Reading Connection:
●
Problem-Solving Reading Mat, Problem-Solving Reading Activity, Interactive Math Story, My Word Cards, Fluency Practice Activity
Technology Connection:
●
Student eTexts, Animated Glossary, Digital Math Tools, math games, Visual Learning videos, Solve and Share, Another Look Homework Video,
Today’s Challenge
CCSS Number
CCSS Content
5.NBT.5
Fluently multiply multi-digit whole numbers using the standard algorithm.
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. For example, 2/3 +
5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.).
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
11
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an
incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.
5.NF.3
Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving the division
of whole numbers leading to answers in the form of fractions or mixed numbers, e.g. by using visual fraction models or
equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by
4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want
to share a 50 pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two
whole numbers does your answer lie?
5.NF.4a
Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of
operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 and create a story context for this
equation. Do the same with (2/3) x (4/5) = 8/15. (In general (a/b) x (c/d) = ac/bd.).
5.NF.4b
Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side
lengths, and show that the area is the same as it would be found by multiplying the side lengths. Multiply fractional side
lengths to find areas of rectangles, and represent fraction products as rectangular areas.
5.NF.5b
Interpret multiplication as scaling (resizing) by explaining why multiplying a given number by a fraction greater than one (1)
results in a product greater than the given number (recognizing multiplication by whole numbers as a familiar case);
explaining why multiplying a given number less than 1 results in a product smaller than the given number; and relating the
principle of fraction equivalence a/b = (n x a)/(n x b) to the effect of multiplying a/b by one (1).
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; and, explain the reasoning used.
12
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
Summative Assessments:
●
●
●
●
Topic Assessment (Topics 7-9)
Topic Performance Assessment (Topics 7-9)
Unit assessment (teacher made)
Benchmark Assessment
Formative Assessments:
●
●
●
●
●
●
●
●
●
●
●
●
Do Now activities
Exit slips
Google Forms/Flubaroo
Homework
Conferences
Quizzes
Mini-projects
Classroom discussion
Teacher observation using rubric
Student self-assessment (study guides, pre-tests, performance analysis)
Workbook pages
Supplemental practice handouts
Enduring Understandings:
● A number line can be used to determine if estimates are reasonable.
13
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
●
●
●
●
●
Fractions with unlike denominators can be represented using equivalent fractions with like denominators.
Sums and differences of mixed numbers can be estimated by rounding to the nearest whole number.
Models can be used to add and subtract mixed numbers.
Multiplying a fraction and a whole number involves both multiplication and division.
To find the product of two fractions multiply the numerators and denominators.
A fraction can be interpreted as division of the numerator and the denominator.
Models can be used to show how dividing a whole number by a fraction involves multiplication.
Essential Questions:
● How can the sum and the difference of mixed numbers be estimated?
● What are standard procedures for adding and subtracting fractions and mixed numbers?
● What does it mean to multiply whole numbers and fractions?
● How can multiplication of whole numbers and fractions be shown using models and symbols?
● How are fractions related to division?
● How can you divided with whole numbers and unit fractions?
Instructional Outcomes:
● Estimate the sum and the difference of fractions by using the nearest half or whole number.
● Find common denominators for fractions with unlike denominators.
● Add fractions with unlike denominators using equivalent fractions with common denominators.
● Subtract fractions with unlike denominators.
14
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
●
●
●
●
●
●
●
●
●
●
●
Write equivalent fractions to add and subtract fractions with unlike denominators.
Estimate the sum and the difference of fractions and mixed numbers.
Add mixed numbers using equivalent fractions and common denominators.
Subtract mixed numbers using equivalent fractions and common denominators.
Represent a problem situation with a mathematical model.
Multiply fractions and whole numbers.
Use models to multiply fractions.
Find the area of a rectangle using fractions and diagrams.
Use models, equations, and previously learned strategies to multiply mixed numbers.
Understand how fractions are related to division.
Use multiplication to divide a whole number by a unit fraction.
Use models to divide unit fractions by non-zero whole numbers.
Solve multi-step problems involving division with unit fractions.
Suggested Learning Activities:
Textbook Lessons and Activities from enVisionmath2.0
● Topic 7: Use Equivalent Fractions to Add and Subtract Fractions
○ Lesson 7-1: Estimate Sums and Differences of Fractions
○ Lesson 7-2: Find Common Denominators
○ Lesson 7-3: Add Fractions with Unlike Denominators
○ Lesson 7-4: Subtract Fractions with Unlike Denominators
○ Lesson 7-5: Add and Subtract Fractions
○ Lesson 7-6: Estimate Sums and Differences of Mixed Numbers
15
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
○ Lesson 7-7: Use Models to Add Mixed Numbers
○ Lesson 7-8: Add Mixed Numbers
○ Lesson 7-9: Use Models to Subtract Mixed Numbers
○ Lesson 7-10: Subtract Mixed Numbers
Topic 8: Apply Understanding of Multiplication to Multiply Fractions
○ Lesson 8-1: Use Models to Multiply a Whole Number and a Fraction
○ Lesson 8-2: Use Models to Multiply a Fraction and a Whole Number
○ Lesson 8-3: Multiply Whole Numbers and Fractions
○ Lesson 8-4: Use Models to Multiply Fractions
○ Lesson 8-5: Multiply Two Fractions
○ Lesson 8-6: Area of a Rectangle
○ Lesson 8-7: Multiply Mixed Numbers
○ Lesson 8-8: Multiplication as Scaling
Topic 9: Apply Understanding of Division to Divide Fractions
○ Lesson 9-1: Fractions and Division
○ Lesson 9-2: Fractions and Mixed Numbers as Quotients
○ Lesson 9-3: Use Multiplication to Divide
○ Lesson 9-4: Divide Whole Numbers by Unit Fractions
○ Lesson 9-5: Divide Unit Fractions by Non Zero Whole Numbers
○ Lesson 9-6: Divide Unit Fractions and Whole Numbers
○ Lesson 9-7: Solve Problems Using Division
Additional Activities
● Study Island 5th Grade Math (Common Core)- Edition 2 (organized by standard)
16
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
●
●
●
○ www.studyisland.com
Understanding Fractions Using Pizza Slices
○ http://schools.nyc.gov/NR/rdonlyres/D0A70F2D-1133-418C-B68F-95E6D714F357/0/NYCDOEG5MathStuffedwithPizza_Final.pdf
Adding and Subtracting Fractions (Unlike and Common Denominators)
○ https://educators.brainpop.com/lesson-plan/adding-and-subtracting-unlike-fractions-lesson-plan/
○ http://www.math-play.com/adding-and-subtracting-fractions-game.html
Adding and Subtracting Mixed Numbers Using Recipes
○ http://www.pbslearningmedia.org/resource/vtl07.math.number.fra.lpmixednum/using-recipes-to-add-fractions-and-convert-improperfractions-to-proper-fractions-or-mixed-numbers/
12 Different Activities Using Fractions
○ http://www.scholastic.com/teachers/activity/fractions-12-studyjams-interactive-math-activities
Multiplying and Dividing Fractions
○ http://www.learnnc.org/lp/pages/3612?ref=search
○ http://tidewaterteam.wm.edu/files/2012/05/02MW01.pdf
○ http://www.fnssp.com/uploads/1/4/7/8/1478467/mega-fun_fractions.pdf
○ http://www.learn-with-math-games.com/fraction-games.html
Suggested Differentiation:
17
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
●
Tier 1: As needed, provide more instruction that is on or below grade level for students who are struggling. Strategies include: Math Diagnosis
and Intervention System 2.0 and resources for fluency success.
Tier 2: Assess to identify students’ strengths and needs and then provide appropriate support. Strategies include: quick checks, intervention
activities, reteach to build understanding, technology center, homework and practice, on-level and advanced activity centers (center games,
math and science activities, problem-solving reading mats).
Tier 3: Strategies include: guiding questions, error interventions, higher order thinking questions, and Practice Buddy Online.
Curriculum Development Resources:
● https://www.pearsonrealize.com/#/
● http://www.nj.gov/education/modelcurriculum/math/5.shtml
● www.studyisland.com
● http://www.learnnc.org/lp/pages/3612?ref=search
● http://tidewaterteam.wm.edu/files/2012/05/02MW01.pdf
● http://www.fnssp.com/uploads/1/4/7/8/1478467/mega-fun_fractions.pdf
● http://www.learn-with-math-games.com/fraction-games.html
● http://www.pbslearningmedia.org/resource/vtl07.math.number.fra.lpmixednum/using-recipes-to-add-fractions-and-convert-improperfractions-to-proper-fractions-or-mixed-numbers/
● https://educators.brainpop.com/lesson-plan/adding-and-subtracting-unlike-fractions-lesson-plan/
● http://www.math-play.com/adding-and-subtracting-fractions-game.html
● http://schools.nyc.gov/NR/rdonlyres/D0A70F2D-1133-418C-B68F-95E6D714F357/0/NYCDOEG5MathStuffedwithPizza_Final.pdf
18
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
Notes/Comments:
Unit 3: Measurement and Data
Unit Summary: This unit focuses on the deep understanding of the measurable attribute of volume; using multiplication and division to convert
measurements of length, capacity, weight and mass within either the customary or metric measurement system; and using line plots to represent and
interpret data.
Interdisciplinary Connections/Content Area Integrations Including Technology:
Reading Connection:
●
Problem-Solving Reading Mat, Problem-Solving Reading Activity, Interactive Math Story, My Word Cards, Fluency Practice Activity
Technology Connection:
●
Student eTexts, Animated Glossary, Digital Math Tools, math games, Visual Learning videos, Solve and Share, Another Look Homework Video,
Today’s Challenge
CCSS Number
CCSS Content
19
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
5.MD.A.1
Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05
m), and use these conversions in solving multi-step, real world problems.
5.MD.B.2
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for
this grade to solve problems involving information presented in line plots.
5.MD.C.3a
A cube with side length one (1) unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to
measure volume.
5.MD.C.3b
A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.
5.MD.C.4
Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
5.MD.C.5a
Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that
the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the
area of the base. Represent threefold whole-number products as volumes, e.g., to represent the Associative Property of
Multiplication.
5.MD.C.5b
Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with wholenumber edge lengths in the context of solving real world and mathematical problems.
5.MD.C.5c
Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by
adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.
20
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
5.NBT.A.2
Explain patterns in the 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.
5.NBT.B.5
Fluently multiply multi-digit whole numbers using the standard algorithm.
5.NBT.B.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.
5.NF.A.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.
5.NF.B.6
Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or
equations to represent the problem.
Summative Assessments:
●
●
●
●
Topic assessment (Topics 10-12)
Topic Performance Assessment (Topics 10-12)
Unit assessment (teacher-made)
Benchmark Assessment
21
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
Formative Assessments:
●
●
●
●
●
●
●
●
●
●
●
●
Do Now activities
Exit slips
Google Forms/Flubaroo
Homework
Conferences
Quizzes
Mini-projects
Classroom discussion
Teacher observation using rubric
Student self-assessment (study guides, pre-tests, performance analysis)
Workbook pages
Supplemental practice handouts
Enduring Understandings:
● Volume can be measured by counting the number of cubic units needed to fill a three-dimensional figure.
● Formulas can be used to find the volume of rectangular prisms and cubes.
● Multiplication and division are used to convert among different units of length, capacity, and weight.
● Line plots are one way to organize and represent numerical data.
● Line plots can be used to answer questions about a data set, see how data are distributed, and solve problems that involve data.
Essential Questions:
● What is the meaning of volume of a solid?
● How can the volume of a rectangular prism be found?
22
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
●
What are customary measurement units and how are they related?
What are metric measurement units and how are they related?
How can line plots be used to represent data and answer questions?
Instructional Outcomes:
● Find the volume of solid figures.
● Find the volume of rectangular prisms and cubes.
● Find the volume of a solid figure, that is the combination of two or more rectangular prisms.
● Use models, prior knowledge of volumes, and previously learned strategies to solve word problems involving volume.
● Convert customary units of length, capacity, and weight.
● Convert metric units of length, capacity, and mass.
● Read and analyze line plots.
● Organize and display data in a line plot.
● Solve problems using data in a line plot.
Suggested Learning Activities:
Textbook Lessons and Activities from enVisionmath2.0
● Topic 10: Understand Volume Concepts
○ Lesson 10-1: Model Volume
○ Lesson 10-2: Develop a Volume Formula
○ Lesson 10-3: Volume of Prisms
23
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
○ Lesson 10-4: Combine Volumes of Prisms
○ Lesson 10-5: Solve Word Problems Using Volume
Topic 11: Convert Measurements
○ Lesson 11-1: Convert Customary Units of Length
○ Lesson 11-2: Convert Customary Units of Capacity
○ Lesson 11-3: Convert Customary Units of Weight
○ Lesson 11-4: Convert Metric Units of Length
○ Lesson 11-5: Convert Metric Units of Capacity
○ Lesson 11-6: Convert Metric Units of Mass
○ Lesson 11-7: Solve Word Problems Using Measurement Conversions
Topic 12: Represent and Interpret Data
○ Lesson 12-1: Analyze Line Plots
○ Lesson 12-2: Make Line Plots
○ Lesson 12-3: Solve Word Problems Using Measurement Data
Additional Activities
● Study Island 5th Grade Math (Common Core)- Edition 2 (organized by standard)
○ www.studyisland.com
● Teaching Volume:
○ http://www.sausd.us/cms/lib5/CA01000471/Centricity/Domain/107/VOLUME%20UNIT.pdf
○ http://www.k-5mathteachingresources.com/5th-grade-measurement-and-data.html
○ http://buncombe.k12.nc.us/Page/40769
● Converting Measurements:
○ https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic
24
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
○
○
○
●
https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-conversion/e/converting-units--uscustomaryhttps://www.youtube.com/watch?v=GElbzvu02Cs
https://www.ixl.com/math/grade-5/compare-and-convert-metric-units
Line Plots
○ https://www.ixl.com/math/grade-5/interpret-line-plots
○ https://www.ixl.com/math/grade-5/create-line-plots
○ https://www.engageny.org/sites/default/files/resource/attachments/math-g5-m4-lessons-1-12.pdf
Suggested Differentiation:
● Tier 1: As needed, provide more instruction that is on or below grade level for students who are struggling. Strategies include: Math Diagnosis
and Intervention System 2.0 and resources for fluency success.
● Tier 2: Assess to identify students’ strengths and needs and then provide appropriate support. Strategies include: quick checks, intervention
activities, reteach to build understanding, technology center, homework and practice, on-level and advanced activity centers (center games,
math and science activities, problem-solving reading mats).
● Tier 3: Strategies include: guiding questions, error interventions, higher order thinking questions, and Practice Buddy Online.
Curriculum Development Resources:
● enVisionmath2.0 Pearson eText (Pearsonrealize.com)
25
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
●
●
●
●
●
●
●
●
●
●
http://www.measuringuplive.com/
www.studyisland.com
https://www.ixl.com/math/grade-5/interpret-line-plots
https://www.ixl.com/math/grade-5/create-line-plots
https://www.engageny.org/sites/default/files/resource/attachments/math-g5-m4-lessons-1-12.pdf
https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic
https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-conversion/e/converting-units--uscustomaryhttps://www.youtube.com/watch?v=GElbzvu02Cs
https://www.ixl.com/math/grade-5/compare-and-convert-metric-units
http://www.sausd.us/cms/lib5/CA01000471/Centricity/Domain/107/VOLUME%20UNIT.pdf
http://www.k-5mathteachingresources.com/5th-grade-measurement-and-data.html
http://buncombe.k12.nc.us/Page/40769
Notes/Comments:
Unit 4: Algebraic Reasoning
Unit Summary: In this unit, students will explore topics related to algebraic reasoning including order of operations, graphing, and patterns. Students will
gain a deep understanding of using the order of operations to evaluate, write, and interpret numerical expressions with grouping symbols. They will develop
an understanding of the Cartesian coordinate systems through graphing ordered pairs in the first quadrant of the coordinate plane to solve real-world and
26
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
mathematical problems. Lastly, students will generate number sequences using given rules and generalize to describe the relationship between
corresponding terms.
CCSS
CCSS Content
5.OA.A.1
Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
5.OA.A.2
Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating
them.
5.G.A.1
Use of a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines
(origin) arranged to coincide with the 0 on each line and a given point in the plane located using an ordered pair of numbers,
called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one
axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the
names of the two axis and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
5.G.A.2
Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and
interpret coordinate values of points in the context of the situation.
5.OA.B.3
Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form
ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.
Summative Assessments:
27
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
●
Topic Assessment (Topics 13-15)
Topic Performance Assessment (Topics 13-15)
Unit assessment (teacher-made)
Formative Assessments:
●
●
●
●
●
●
●
●
●
●
●
●
Do Now activities
Exit slips
Google Forms/Flubaroo
Homework
Conferences
Quizzes
Mini-projects
Classroom discussion
Teacher observation using rubric
Student self-assessment (study guides, pre-tests, performance analysis)
Workbook pages
Supplemental practice handouts
Enduring Understandings:
● There is an agreed upon order in which operations are carried out in a numerical expression.
● A coordinate grid has an x-axis and a y-axis that can be used to locate points in two dimensions.
● Points that lie on a line can be connected and extended to solve problems.
● Two patterns can be extended using rules, and there will be a relationship between the patterns.
● A graph can show the relationship between two number sequences.
28
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
Essential Questions:
● How do good math thinkers approach problem solving?
● How do good math thinkers think about words and numbers to solve problems?
● How do good math thinkers use the order of operations to solve problems?
● How do good math thinkers use a coordinate plane to solve real-world problems?
Instructional Outcomes:
● Use the order of operations to evaluate expressions.
● Evaluate expressions with parentheses, brackets, and braces.
● Write simple expressions that show calculations with numbers.
● Interpret numerical expressions without evaluating them.
● Use reasoning to solve problems by making sense of quantities and relationships in the situation.
● Locate points on a coordinate grid.
● Graph points on a coordinate grid.
● Solve real-world problems by graphing points.
● Analyze numerical patterns.
● Use tables to identify relationships between patterns.
● Analyze patterns and graph ordered pairs generated from number sequences.
Suggested Learning Activities:
Textbook Lessons and Activities from enVisionmath2.0
● Topic 13: Algebra: Write and Interpret Numerical Expressions
29
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
○ Lesson 13-1: Order of Operations
○ Lesson 13-2: Evaluate Expressions
○ Lesson 13-3: Write Numerical Expressions.
○ Lesson 13-4: Interpret Numerical Expressions
○ Lesson 13-5: Math Practices and Problem Solving: Reasoning
Topic 14: Graph Points on the Coordinate Plane
○ Lesson 14-1: The Coordinate System
○ Lesson 14-2: Graph Data Using Ordered Pairs
○ Lesson 14-3: Solve Problems Using Ordered Pairs
○ Lesson 14-4: Math Practices and Problem Solving: Reasoning
Topic 15: Algebra: Analyze Patterns and Relationships
○ Lesson 15-1: Numerical Patterns
○ Lesson 15-2: More Numerical Patterns
○ Lesson 15-3: Analyze and Graph Relationships
○ Lesson 15-4: Math Practices and Problem Solving: Make Sense and Persevere
Additional Activities
● Study Island 5th Grade Math (Common Core)- Edition 2 (organized by standard)
○ www.studyisland.com
● Online Grade 5 Math Skill Practice with IXL (select appropriate topics)
○ https://www.ixl.com/math/grade-5
● Khan Academy Algebraic Thinking Tutorials
○ https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-algebraic-thinking
● Khan Academy Coordinate Plane Tutorials
30
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
●
●
●
○ https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic
Order of Operations- Review with Online Practice
○ http://www.mathgoodies.com/lessons/vol7/order_operations.html
Writing Algebraic Expressions- Review with Online Practice
○ http://www.mathgoodies.com/lessons/vol7/expressions.html
Order of Operations Handouts from MathWorksheetLand
○ http://www.mathworksheetsland.com/topics/operations/4step/lesson.pdf
○ http://www.mathworksheetsland.com/topics/operations/4step/guided.pdf
○ http://www.mathworksheetsland.com/topics/operations/4step/ip.pdf
○ http://www.mathworksheetsland.com/topics/operations/4step/wordprob.pdf
Graphing Worksheets- Practice, Extension Handouts, and Printable Graph Paper
○ http://www.math-aids.com/Graphing/
Georgia DOE Coordinate Plane Unit Guide (page 10 has lessons and links)
○ https://www.georgiastandards.org/Georgia-Standards/Frameworks/5th-Math-Unit-7.pdf
Suggested Differentiation:
● Tier 1: As needed, provide more instruction that is on or below grade level for students who are struggling. Strategies include: Math Diagnosis
and Intervention System 2.0 and resources for fluency success.
● Tier 2: Assess to identify students’ strengths and needs and then provide appropriate support. Strategies include: quick checks, intervention
activities, reteach to build understanding, technology center, homework and practice, on-level and advanced activity centers (center games,
math and science activities, problem-solving reading mats).
● Tier 3: Strategies include: guiding questions, error interventions, higher order thinking questions, and Practice Buddy Online.
31
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
Curriculum Development Resources:
● enVisionmath2.0 Pearson eText (Pearsonrealize.com)
● www.studyisland.com
● https://www.ixl.com/math/grade-5
● https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-algebraic-thinking
● https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic
● http://www.mathgoodies.com/lessons/vol7/order_operations.html
● http://www.mathgoodies.com/lessons/vol7/expressions.html
● http://www.mathworksheetsland.com/topics/operations/4step/lesson.pdf
● http://www.mathworksheetsland.com/topics/operations/4step/guided.pdf
● http://www.mathworksheetsland.com/topics/operations/4step/ip.pdf
● http://www.mathworksheetsland.com/topics/operations/4step/wordprob.pdf
● http://www.math-aids.com/Graphing/
● https://www.georgiastandards.org/Georgia-Standards/Frameworks/5th-Math-Unit-7.pdf
Notes/Comments:
32
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
Unit 5: Geometry
Unit Summary: In this unit, students will explore geometric measurement with a focus on classifying two-dimensional figures. Triangles and quadrilaterals
will be classified into categories based on their properties. Students will also learn about crafting mathematical arguments, justifying their reasoning with
examples and counterexamples.
Interdisciplinary Connections/Content Area Integrations Including Technology:
Reading Connection:
●
Problem-Solving Reading Mat, Problem-Solving Reading Activity, Interactive Math Story, My Word Cards, Fluency Practice Activity
Technology Connection:
●
Student eTexts, Animated Glossary, Digital Math Tools, math games, Visual Learning videos, Solve and Share, Another Look Homework Video,
Today’s Challenge
CCSS Number
CCSS Content
5.G.B.3
Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that
category.
5.G.B.4
Classify two-dimensional figures in a hierarchy based on properties.
33
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
Summative Assessments:
●
●
●
●
Topic Assessment (Topic 16)
Topic Performance Assessment (Topic 16)
Cumulative/Benchmark Assessment (Topics 1-16)
End-of-Year Assessment
Formative Assessments:
●
●
●
●
●
●
●
●
●
●
●
●
Do Now activities
Exit slips
Google Forms/Flubaroo
Homework
Conferences
Quizzes
Mini-projects
Classroom discussion
Teacher observation using rubric
Student self-assessment (study guides, pre-tests, performance analysis)
Workbook pages
Supplemental practice handouts
Enduring Understandings:
● Triangles are classified by their sides and their angles.
● Quadrilaterals are classified by their sides and their angles.
● Good problem solvers construct arguments that are clear and complete and backed by evidence and examples.
34
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
Essential Questions:
● Why are geometry and geometric figures relevant and important?
● How do good math thinkers explain why their answers are correct?
● How can geometry be used to solve problems about real-world situations, spatial relationships, and logical reasoning?
Instructional Outcomes:
● Classify triangles by their angles and sides.
● Classify quadrilaterals by their properties.
● Classify quadrilaterals using a hierarchy.
● Construct arguments about geometric figures.
Suggested Learning Activities:
Textbook Lessons and Activities from enVisionmath2.0
● Topic 16: Geometric Measurement: Classify Two-Dimensional Figures
○ Lesson 16-1: Classify Triangles
○ Lesson 16-2: Classify Quadrilaterals
○ Lesson 16-3: Continue to Classify Quadrilaterals
○ Lesson 16-4: Math Practices and Problem Solving: Construct Arguments
35
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
Additional Activities
● Study Island 5th Grade Math (Common Core)- Edition 2 (organized by standard)
○ www.studyisland.com
● Geometry: Triangles and Quadrilaterals Geoboard Activities & Handouts
○ http://bridges1.mathlearningcenter.org/media/Bridges_Gr5_OnlineSupplement/B5SUP-C1_GeomTriQuad_0509.pdf
● Online Grade 5 Math Skill Practice with IXL (select appropriate Geometry topics)
○ https://www.ixl.com/math/grade-5
● Hands-on Triangle Sort
○ http://www.doe.virginia.gov/testing/solsearch/sol/math/5/mess_5-12ab.pdf
● Triangle Hierarchy Activity
○ http://www.k-5mathteachingresources.com/support-files/triangle-hierarchy-ver.1.pdf
● Quadrilateral Hierarchy Activity
○ http://www.k-5mathteachingresources.com/support-files/quadrilateral-hierarchy.pdf
● Classifying Triangles Hands-on Activity
○ http://www.k-5mathteachingresources.com/support-files/classifying-triangles-v1.pdf
● LearnZillion: Classifying Two-Dimensional Figures Lesson
○ https://learnzillion.com/lesson_plans/1007
● A Collection of Graphic Organizers, Lessons, Links, and Activities for Classify Two-Dimensional Figures
○ http://5thgradecc.weebly.com/g4-classify-2d.html
● Khan Academy Quadrilaterals Tutorial
○ https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic
36
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
Suggested Differentiation:
● Tier 1: As needed, provide more instruction that is on or below grade level for students who are struggling. Strategies include: Math Diagnosis
and Intervention System 2.0 and resources for fluency success.
● Tier 2: Assess to identify students’ strengths and needs and then provide appropriate support. Strategies include: quick checks, intervention
activities, reteach to build understanding, technology center, homework and practice, on-level and advanced activity centers (center games,
math and science activities, problem-solving reading mats).
● Tier 3: Strategies include: guiding questions, error interventions, higher order thinking questions, and Practice Buddy Online.
Curriculum Development Resources:
● enVisionmath2.0 Pearson eText (Pearsonrealize.com)
● http://www.measuringuplive.com/
● www.studyisland.com
● http://www.gfps.k12.mt.us/sites/default/files/5thGradeMath_0.pdf
● http://bridges1.mathlearningcenter.org/media/Bridges_Gr5_OnlineSupplement/B5SUP-C1_GeomTriQuad_0509.pdf
● https://www.ixl.com/math/grade-5
● http://www.doe.virginia.gov/testing/solsearch/sol/math/5/mess_5-12ab.pdf
● http://www.k-5mathteachingresources.com/support-files/triangle-hierarchy-ver.1.pdf
37
SHORE REGIONAL HIGH SCHOOL DISTRICT
A Regional Collaborative of the Communities Served by the Monmouth Beach, Oceanport, Shore Regional, and West Long Branch
School Districts
Aligned to Common Core State Standards/New Jersey Core Curriculum Content Standards as Applicable
●
●
●
●
●
http://www.k-5mathteachingresources.com/support-files/quadrilateral-hierarchy.pdf
http://www.k-5mathteachingresources.com/support-files/classifying-triangles-v1.pdf
https://learnzillion.com/lesson_plans/1007
http://5thgradecc.weebly.com/g4-classify-2d.html
https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic
Notes/Comments:
● The hands-on activities require a great deal of preparation. It would be helpful to laminate the shapes and store in plastic bags for easy reuse.
● Geoboards with rubber bands are good for hands-on geometry as well. Check to be sure you have them before starting some of the lessons
above.
38