mathgrade5, core course: year: 2012-13 -all · teacher:mathgrade5, core course:mathgrade5...

Teacher: MathGrade5, CORE Course: MathGrade5 Year: 2012-13

Units: - All -

Curriculum Map Pacing • The suggested number of days per topic is based on the time needed for instruction, practice of the skill, review, and assessment.

• The summative assessment dates are approximate dates for assessment of each topic. Due to changes in schedule or need for additional time on a particular topic a few extra days have been added between topics.

• Administer the Placement Test prior to beginning Topic 1 to assess students' strengths and weaknesses. This assessment covers skils taught in 4th grade that are expanded upon in 5th grade.

• Use the Diagnostic and Intervention Sytem Test to assess students' strengths and weaknesses. This assessment covers the standards throughout the fifth grade curriclulum. This assessment is sectioned and can be given in chunks according to the skills that need to be assessed.

Essential Questions

Standards Content Skills VocabularyLearning Targets/Feedback

Resources/StrategiesModel Lessons

Summative Assessments

Use of enVision Lesson Resources • Use a Daily Spiral Review WS with each lesson to revisit past content.

• Quick Checks can be used throughtout the topic to assess understanding.

• The Reteaching Master, Intervention System, Study Island, and listed web resources can be used thoughout the topic for remediation.

• The Practice Master, Center Activity (one star), Study Island, and listed web resources can be used in addition to the text book pages for additional practice.

• The Enrichment Master, Center Activity (two stars), and listed web resources can be used to challenge students who have mastered the skill.

• In the front of each Teacher's Manual use the Math Background for Teachers pages to preview important information about the topic. Use the Meeting Individual Needs pages for additional information about differentiation throughout the topic. Important vocabulary, comprehension and problem solving, and written and oral language connections can be found on the The Language of Math pages.

• Upon completion of the topic use the Test and Reteching pages at the end of the topic to practice skills before the topic assessment.

Essential

QuestionsStandards Content Skills Vocabulary

Learning

Targets/FeedbackResources/Strategies

Model

Lessons

Summative

Assessments

Assessment Prior to Beginning Topic 1 • The placement test contains items from throughout the 5th grade text.

• This assessment provides the teacher with data verifying which skills students are already knowledgable of prior to begining instruction. Not every skill is assessed on the placement test, but each area is covered and to show which areas students have knowledge.

• The assessment will contain various questions taken from the skills and vocabulary columns. The listed skills and vocabulary are what studetns in 5th grade are taught throughtout the year. Use this list as a guide to what content students will be taught throughout the year. See each topic for specific information about content, skills, learning targets, resources, model lessons, and summative assessments.

Essential Questions




What types of math problems are you able to solve?

CC.2.1.5.B.1 - Number & Operations in Base Ten ~ Apply place value concepts to show an understanding of operations and rounding as they pertain to whole numbers and decimals.

CC.2.1.5.B.2 - Number & Operations in Base Ten ~ Extend an understanding of operations with whole numbers to perform operations including decimals.

CC.2.1.5.C.1 - Number & Operations - Fractions ~ Use the understanding of equivalency to add and subtract fractions.

CC.2.1.5.C.2 - Number & Operations - Fractions ~ Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

CC.2.2.5.A.1 - Operations and Algebraic Thinking ~ Interpret and evaluate numerical expressions using order of operations.

CC.2.2.5.A.4 - Operations and Algebraic Thinking ~ Analyze patterns and relationships using two rules.

CC.2.3.5.A.1 - Geometry ~ Graph points in the first quadrant on the coordinate plane and interpret these points when solving real

Multiple Choice questions from a varitey of topics

Skills from 4th Grade Curriculum that are expanded upon in 5th grade

I can use the skills that I learned in the past to show what knowledge I have about fifth grade math.

List of skills on the placement test, which 4th grade topic contained each skill, and intervention pages that correspond with the skill - teacher's manual 18B

Placement Test

8/21/2014

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8/27/2014https://asd-pa.perfplusk12.com/admin/admin_curric_maps_display.aspx?M=162496&C=5...

world and mathematical problems.

CC.2.3.5.A.2 - Geometry ~ Classify two-dimensional figures into categories based on an understanding of their properties.

CC.2.4.5.A.1 - Measurement and Data ~ Solve problems using conversions within a given measurement system.

CC.2.4.5.A.2 - Measurement and Data ~ Represent and interpret data using appropriate scale.

CC.2.4.5.A.4 - Measurement and Data ~ Solve problems involving computation of fractions using information provided in a line plot.

CC.2.4.5.A.5 - Measurement and Data ~ Apply concepts of volume to solve problems and relate volume to multiplication and to addition.

Diagnostic and Intervention System • Test should be given to see which students need intervention lessons or materials provided to them before particular topics are covered.

This will give teachers data throughout the year to assist students in obtaining the prior knowledge necessary to be successful throughout the year.

• Test can be given in separate sections throughout the year using the topics listed for each section as a guide.

• Teachers can plan to use intervention lessons and materials according to student scores on this assessment or any other form of assessment that shows the student needs remediation throughout the year.

Essential Questions




What 5th grade skills have been mastered?

Which 5th grade skills need additional practice?







CC.2.3.5.A.1 - Geometry ~ Graph points in the first quadrant on the coordinate plane and interpret these points when solving real world and mathematical problems.


CC.2.4.5.A.1 - Measurement and Data ~ Solve problems using conversions within a given measurement system.


CC.2.4.5.A.4 - Measurement and Data ~ Solve problems involving computation of fractions using information provided in a line plot.


Grouping of Content is as Follows:

Numeration, Patterns, and Relationships

Operations with Whole Numbers

Fractions, Decimals, and Percents

Measurement and Geometry

Data Analysis and Probability

Problem Solving

Necessary prerequisite skills to be successful in the 5th grade curriculum. Skills have been taught in 4th grade and are associated with Content listing.

I can use my prior knowledge to show what fifth grade skills I am ready to learn.

Math Diagnostic and Intervention System Kit - collection of all resources needed for assessment and intervention

Diagnostic Test - Throughout the School Year as Prerequisite Skills need assessed

8/21/2014

Topic 1 - Numeration



Suggested Topic Length - 4 days

Lessons 1 & 2 can be used to review place value and comparing and ordering whole numbers for students who still have not mastered these skills.

Essential Questions




1-3: How can you represent additional decimal places in a place-value chart?


Decimal Place Value

Write decimals in stardard form, word form, and expanded form through millionths.

equivalent decimals

I can read and write decimals through millionths.

Place Value Chart Represent Decimals in a Place-Value Chart (D)

1-4: How can you compare and order decimals?


Comparing and Ordering Decimals

Compare and order decimals through thousandths.

I can compare and order decimals.

Intervention System H28, H29

Place Value Chart

Compare and Order Decimals (I)

Topic 1 Test

8/27/2014

Topic 2 - Adding and Subtracting Whole Numbers and Decimals Suggested Topic Length - 7 days

Lessons 1, 3, 4, & 5 can be used to review mental math, estimating sums and differences, drawing a picture to match an equation, and adding and subtracting for students who still have not mastered these skills.

Essential


Learning


Model

Lessons

Summative

Assessments

2-2: How can you round whole numbers and decimals?


Rounding Whole Numbers and Decimals

Round whole numbers through millions and decimals through thousandths.

rounding I can round whole numbers and decimals.

Intervention System F11, H26, H27

Place Value Chart

Using a Number Line to Round Whole Numbers (D)

2-6A How can you use a grid to add and subtract decimals?


Modeling Addition and Subtraction of Decimals

Add and subtract decimals in tenths and hundredths using models.

I can add and subtract decimals in tenths and hundredths using models.

Place Value Chart

10 x 10 Grids (TeachingTool 15) (per student);Centimeter grid paper(Teaching Tool 12) (optional);Place-Value Blocks (TeachingTool 25) (optional); coloredpencils, crayons, or markers,scissors (per group)

Use grids to add and subtract decimals (D)

2-6: How can you add decimals?


Adding Decimals

Compute sums of decimals involving tenths, hundredths, and thousandths.

I can compute sums of decimals involving tenths, hundredths, and thousandths.

Intervention System H54, H55, H57

Place Value Chart

Add Decimalswith Hundredths (D)

2-7: How can you subtract decimals?


Subtracting Decimals

Compute differences of decimals involving tenths, hundredths, and thousandths.

I can compute differences of decimals involving tenths, hundredths, and thousandths.

Intervention System H54, H55, H57

Place Value Chart

Subtract Decimal Numbers with Hundredthds (D)

2-8: How can you solve problems that require more than one step?


Problem Solving: Multiple-Step Problems

Use multiple steps to solve a variety of problems.

I can use multiple steps to solve a variety of problems.

Intervention System J5

Problem Solving Chart

Soving Problems with Multiple Steps (D)

Topic 2 Test

9/2/2014

Topic 3 - Multiplying Whole Numbers Suggested Topic Length - 6 days

Lessons 1 - 3 can be used to review multiplication properties, mental math in multiplication, and estimating products for students who still have not mastered these skills.

Essential


Learning


Model

Lessons

Summative

Assessments

3-4: How can you multiply by 1-digit numbers?


Multiplying by 1-Digit Numbers

Use partial products or the traditional algorithm to multiply multi-digit numbers by a 1-digit number.

I can multipy by 1-digit numbers.

Intervention System G52 Multiplying With Grid Paper (D)

3-5: How do you multiply by 2-digit numbers?


Multiplying 2-Digit by 2-Digit Numbers

Multiply 2-digit numbers by 2-digit numbers.

partial products I can multiply 2-digit by 2-digit numbers.

Intervention System G68, G69, G70 Use Area Models to Multiply by 2-digit by 2-digit Numbers (D)

3-6: How can you multiply 3-digit numbers by 2-digit numbers?


Multiplying Greater Numbers

Multiply 2-digit numbers by factors with more than two digits.

I can multiply greater numbers.

Intervention System G71 Use Area Models to Multiply 3-digit by 2-digit Numbers (D)

3-8: How can you draw a picture to help choose an operation?


Problem Solving : Draw a Picture and Write an Equation

Use diagrams and write equations to solve problems.

I can draw a picture and write an equation.

Intervention System J9 Draw a Bar Diagram to Choose an Operation (D)

Topic 3 Test

10/10/2013



Topic 4 - Dividing by 1-Digit Divisors Suggested Topic Length - 7 days

Lessons 7 & 8 can be used to review factors & prime and composite numbers for students who still have not mastered these skills.

Essential


Learning


Model

Lessons

Summative

Assessments

4-1: How can you use mental math to divide multiples of 10 and 100?



Dividing Multiples of 10 and 100

Find the quotient of a division problem whose dividend is a multiple of 10, where division involves a basic fact.

dividenddivisorquotient

I can use division patterns to divide mentally.

Intervention System G44 Using Patterns to Divide Multiples of 10 and 100 (I)

4-2: How can you use compatible numbers to estimate quotients?



Estimating Quotients

Use rounding and compatible numbers to estimate quotients of whole numbers.

I can estimate quotients. Intervention System G46 Multiplication Table and Compatible Numbers used to Estimate Quotients (I)

4-4: How can you use models and symbols to understand and record division?


Connecting Models and Symbols

Find quotients using the model of sharing money.

I can divide using models. Intervention System G53 Using Money to Divide a 3-digit Number by a 1-digit Number (I)

4-5: When you divide a 3-digit number by a 1-digit number, how do you know where to put the first digit in the quotient?


Dividing by 1-Digit Divisors

Divide 3-digit whole numbers by 1-digit divisors.

I can divide whole numbers.

I can interpret remainders.

Intervention System G55, G58 Placing the First Digit of the Quotient (D)

4-6: When do you write a zero in the quotient?


Zeros in the Quotient

Divide with zeros in the quotient.

I can divide with zeros in the quotient.

Intervention System G56 Using Money to Find Quotients that Contain Zeros (I)

Topic 4 Test

9/19/2014

Benchmark & Cumulative Assessments Topics 1-4 Benchmark AssessmentTopics 1-4 Cumulative Assessment

Essential


Learning


Model

Lessons

Summative

Assessments

What skills from topics 1- have been mastered?



Content from Topics 1-4

Skills from Topics 1-4

equivalent decimalsroundingpartial productdividenddivisorquotient

I can correctly demonstrate the skills that I have learned in topics 1-4.

Benchmark AssessmentCumulative Assessment

Cumulative Assessment

9/25/2014

Topic 5 - Dividing by 2-Digit Divisors Suggested Topic Length - 12 Days

Essential


Learning


Model

Lessons

Summative

Assessments

5-1 How can students find patterns when dividing multiples of 10.



Using Patterns to Divide

Find the quotients of division problems whose dividents and divisors are multiples of 10, where the division involves a basic fact.

I can find the quotients of division problems whose dividents and divisors are multiples of 10, where the division involves a basic fact.

Find patterns when dividing multiples of 10

5-2 How can you use compatible numbers to estimate quotients?


CC.2.1.5.B.2 - Number & Operations in Base Ten ~ Extend an understanding of

Estimating Quotients With 2-Digit Divisors

Use estimation to find approximate solutions to quotients with two-digit divisors using compatible numbers.

I can use estimation to find approximate solutions to quotients with two-digit divisors using compatible numbers.

Use Compatible Numbers to Estimate Quotients



operations with whole numbers to perform operations including decimals.

5-3A How can you use arrays to model multi-digit division?



Connecting Models and Symbols

Add and subtract decimals in tenths and hundredths using models.

I can add and subtract decimals in tenths and hundredths using models.

Grid paper Use Grids to Add and Subtract Decimals

5-3 How can you solve multiple-step problems?


Problem Sovling: Multiple Step Problems

Find the hidden question or questions to solve multiple-step problems.

I can find the hidden question or questions to solve multiple-step problems.

Identify and Answer Hidden Questions to Solve Multiple-Step Problems

5-4: How do you divide by a multiple of ten?



Dividing by Multiples of 10

Find quotients with a two-digit divisor what is a multiple of ten.

I can find quotients with a two-digit divisor that is a multiple of 10.

Divide by Multiples of Ten (D)

5-5 What are the steps for dividing by 2-digit numbers?


1-Digit Quotients

Find one-digit quotients where the divisor is a two-digit number.

I can find one-digit quotients where the divisor is a two-digit number.

Divide 3-digit Numbers by 2-digit Numbers With and Without Remainders

5-6 How can you divide larger numbers?


2-Digit Quotients

Divide a three-digit number by a two-digit number to find a two-digit quotient.

I can divide a three-digit number by a two-digit number to find a two-digit quotient.

Divide a Three-digit Number by a Two-digit number with and without remainders

5-7 How can you solve problems involving division of larger numbers?



Estimating and Dividing with Greater Numbers

Sovle problems involving division of numbers with 4 or 5 digits by 2-digit divisors with an estimate, or by using a calculator when the exact answer is needed.

I can sovle problems involving division of numbers with 4 or 5 digits by 2-digit divisors with an estimate, or by using a calculator when the exact answer is needed.

calculator Become Familiar with the Process for Dividing a Four-digit Number by a Two-digit Number, Including How to Find the Remainder

5-8 How do I identify missing information in a word problem?


Problem Solving: Missing or Extra Information

Determine which information is missing and identify extraneous information in problems.

I can determine which information is missing and identify extraneous information in problems.

Problem Solving Recording Sheet (teaching tool 1), 1 per student

Identify Missing Information and Make Up Appropriate Information to Solve Problems

Topic 5 Test

10/15/2014

Topic 6 - Variables and Expressions Suggested Topic Length - 12 days

Lesson 6 can be used to review problem solving (acting it out) for students who still have not mastered this skill.

Essential Questions




6-1: How can you translate words into expressions?


Variables and Expressions

Translate words into algebraic expressions.

algebraic expressionvariable

I can translate algebraic expressions.

I can write word phrases as algebraic expressions.

Intervention System F35 Translate Word Phrases into Algebraic Expressions (D)

6-3: How can you write and evaluate expressions with variables?


More Patterns and Expressions

Write and evaluate expressions involving multiplication, addition, and subtraction.

I can translate algebraic expressions involving more than one operation into words.

I can write algebraic expressions.

Intervention System F42 Use a Variable to Write and Evaluate an Expression (I)

6-4A How can you find the relationship between two sequences?


Patterns: Extending Tables

Extend patterns in a table using given rules and will then look for the relationship between corresponding terms in the sequences.

correspondingsequenceterm

I can extend patterns in a table using given rules and will then look for the relationship between corresponding terms in the sequences.

Counters (optional) Extend Patterns in a Table Using Given Rules and Will Then Look for the Relationship Between Corresponding Terms in the Sequences



6-4: How can you use the distributive property to write two equal expressions?


Distributive Property

Use the distributive property to simplify expressions and solve equations.

distributive property

Use the distributive property to find products.

Intervention System F40 Write Two Equal Expressions (I)

6-5: How can you evaluate a numerical expression containing more than one operation?



Order of Operations

Use given values for variables to evaluate numerical or algebraic expressions with three or more numbers and two or more operations.

order of operations I can evaluate expressions by using the order of operations.

Intervention System F39 Evaluate an Expression Containing More Than One Operation (I)

6-6A How can you use the order of operations to evaluate expressions with decimals?


Evaluating Expressions

Use the order of operations to evaluate expressions with whole numbers and decimals.

I can use the order of operations to evaluate expressions with whole numbers and decimals.

Use the Order of Operations to Evaluate Expressions with decimals

6-6B How can you find a rule and write an addition and subtraction expression?


Addition and Subtraction Expressions

Study completed tables to determine a rule and write an expression.

I can study completed tables to determine a rule and write an expression.

Place-Value Blocks (or Teaching Tool 25)

Model Addition and Subtraction Patterns Shown in Tables and Write Rules for the Patterns

6-6C How can you find a rule and write a multiplication and divisionexpression?


Multiplication and Division Expressions

Study completed tables to determine a rule and write an expression.

I can study completed tables to determine a rule and write an expression.

Place-Value Blocks(or Teaching Tool 25)

Model Multiplication and Division Patterns Shown in Tables and Write Rules for the Patterns

Topic 6 Test

11/3/2014

Topic 7: Multiplying and Dividing Decimals Suggested Topic Length - 15 days

Lesson 9 can be used to review problem solving (multiple-step problems) for students who still have not mastered this skill.

Essential


Learning


Model

Lessons

Summative

Assessments

7-1: What is the rule for multiplying decimals by 10, 100, or 1,000?



Multiplying Decimals by 10, 100, or 1,000

Mentally multiply decimals by 10, 100, and 1,000.

I can multiply decimals by 10, 100, or 1,000.

Intervention System H59 Find the Value of 10, 100, and 1,000 Coins (I)

7-2: How do you multiply a decimal by a whole number?


Multiplying a Decimal by a Whole Number

Use a standard algorithm to multiply a whole number and a decimal.

I can multiply decimals by whole numbers.

Intervention System H58, H62 Multiply Distances Traveled by Cars (D)

7-3: What are some ways to estimate products with decimals?



Estimating the Product of a Decimal and a Whole Number

Use rounding and compatible numbers to estimate products of whole numbers and decimals.

Identify estimates as overestimates or underestimates.

I can estimate products of decimals and whole numbers.

Intervention System H60 Estimate Whole Numbers and Decimals on a Grocery List (D)

7-4A How can number sense be used to determine the location of decimal points in decimal multiplication calculations?


Number Sense: Decimal Multiplication Use number

sense and place value to multiply decimals.

I can use number sense and place value to multiply decimals.

Use Number Sense to Locate the Decimal Points in Factors and Products

7-4B How can you multiply whole numbers and decimals?


Models for Multiplying Decimals Find products

of whole numbers and decimals to ten thousandths.

I can find products of whole numbers and decimals to ten thousandths.

Decimal Grids(Teaching Tool 45),Color pencils

Model Multiplying a Whole Number by a Decimal Using Hundredths Grids

7-4: How can you multiply two decimals?

CC.2.1.5.B.2 - Number & Operations in Base Ten ~ Extend an understanding of operations with whole

Multiplying Two Decimals

Use the standard algorithm to multiply

I can multiply two decimals. Intervention System H61 Product of Two Decimals (I)



numbers to perform operations including decimals.

decimals by decimals.

7-5: How can you divide decimals by 10, 100, and 1,000?



Dividing Decinals by 10, 100, or 1,000

Mentally divide decimals by 10, 100, or 1,000.

Divide decimals by 10, 100, or 1,000.

Intervention System H64 Find Patterns When Dividing by 10, 100, and 1,000 (I)

7-6A How can you use reasoning to correctly place the decimal point in thequotient?


Number Sense: Decimal Division

Learn how to use reasoning to correctly place the decimal point in a quotient.

I can learn how to use reasoning to correctly place the decimal point in a quotient.

Use Number Sense to Locate the Decimal Points in Dividends, Divisors, and Quotients

7-6: How do you divide a decimal by a whole number?


Dividing a Decimal by a Whole Number

Use the standard algorithm to divide a decimal by a whole number.

Divide a decimal by a whole number.

Intervention System H63, H65 Divide Money (D)

7-7: How can you estimate quotients with decimals?



Estimation: Decimals Divided by Whole Numbers

Use compatible numbers to estimate quotients of decimals and whole numbers.

Estimate quotients involving decimals.

Intervention System H66 Estimate Time and Distance (D)

7-8: How can you divide a decimal by a decimal?


Dividing a Decimal by a Decimal

Use the standard algorithm to divide decimals by decimals.

Divide a decimal by a decimal. Intervention System H67 Divide Money (I)

Topic 7 Test

11/25/2014

Topic 8: Shapes Suggested Topic Length - 8 days

Lessons 1 & 2 can be used to review basic geometric ideas & measuring and classifying angles for students who still have not mastered these skills.

Essential


Learning


Model

Lessons

Summative

Assessments

8-3: How do you classify polygons?


Polygons Identify and classify polygons.

polygonregular polygontrianglequadrilateralpentagonhexagonoctagon

I can identify and classify polygons.

Intervention System I5 Regular Polygons (D)

8-4 How do you classify triangles?


Triangles Identify and classify triangles.

equilateral triangleisosceles trianglescalene triangleright triangleacute triangleobtuse triangle

I can identify and classify triangles.

Classify a Triangle According to the Length of its Sides and the Measure of its Angles

8-5: How do you classify quadrilaterals?


Quadrilaterals Identify and classify quadrilaterals.

parallelogramtrapezoidrectanglerhombussquare

I can identify and classify quadrilaterals.

Intervention System I7, I19 Classify Quadrilaterals (D)

8-6A Which shapes are special cases of another shape?


Special Quadrilaterals

Learn about the properties of special quadrilaterals.

I can name the properties of special quadrilaterals

Discuss Properties of Quadrilaterals

8-6B How are special quadrilaterals related to each other?


Classifying Quadrilaterals

Sort a variety of quadrilaterals to develop the hierarchy or “family tree” for quadrilaterals.

I can sort a variety of quadrilaterals to develop the hierarchy or “family tree” for quadrilaterals.

ClassifyingQuadrilaterals(Teaching Tool 46),scissors, paper

Sort a variety of quadrilaterals to develop the hierarchy or “family tree” of quadrilaterals.

8-6: How can you test generalizations?


Problem Solving: Make and Test Generalizations

Make and test generalizations of patterns in different examples.

generalization I can make and test generalizations.

Intervention System J32 Test Generalizations About Polygons (D)

Topic 8 Test

12/11/2014

Benchmark & Cumulative Assessments Topics 4-8 Benchmark AssessmentTopics 1-8 Cumulative Assessment



Essential


Learning


Model

Lessons

Summative

Assessments

What skills from topics 1- have been mastered?






Content from topics 1-8

Skills from topics 1-8

equivalent decimalsroundingpartial productdividenddivisorquotientalgebraic expressionvariablecorrespondingsequencetermdistributive propertyorder of operations

I can correctly demonstrate the skills that I have learned in topics 1-8.

Benchmark Assessment Topics 5-8Cumulative Assesment Topics 1-8

Cumulative Assessment

12/19/2014

Topic 9 - Fractions and Decimals Suggested Topic Length - 13 days

Lesson 1 can be used to review the meaning of fractions for students who still have not mastered this skill.

Essential


Learning


Model

Lessons

Summative

Assessments

9-2 How are fractions and division related?


Fractions and Division

Learn that division can be used to divide objects into equal parts that are fractions of a whole. Whese fractions can be represented on a number line.

I can divide objects into equal parts that are fractions of a whole. I can represent a fraction on a number line.

Intervention System H 15 Model Fractions (R)

9-3 How are mixed numbers and improper fractions related?


Mixed Numbers and Improper Fractions

Students express fractions greater than one as mixed numbers or improper fractions.

mixed numberimproper fraction

I can express a fraction greater than one as a mixed number and improper fraction.

Intervention System H 18Investigatons Student Handbook 45

Mixed Numbers & Improper Fractions (R)

9-4 How can you convert one fraction to an equivalent one?


Equivalent Fractions

Identify fractions that are equivalent. Students also find fractions equivalent to a givern fraction using computational procedures.

I can identify equivlaent fractions. I can produce a fraction equivalent to a given fraction using computational procedures.

Intervention System H 14Investigations Student Handbook 44

Equivalent Fractions (R)

9-5 How can you compare fractions?


Comparing and Ordering Fractions and Mixed Numbers

Determine which of two fractions or mixed numbers are greater or less in order to compare and order fractions and mixed numbers.

I can determine which of two fractions or mixed numbers are greater or less. I can use this information to compare and order fractions and mixed numbers.

Intervention System H 19-20Investigations Student Handbook 50-51

Compare Fractions with Fraction Strips (D)

9-6 How can you find the common factors and the greatest common factor of two numbers?


Common Factors and Greatest Common Factors

Students determine common factors and the greatest common factor of numbers.

Common FactorGreatest Common Factor (GCF)

Intervention System G64 Factor Trees (I)

9-7 How can you write a fraction in simplest form?


Fractions in Simplest Form

Students identify fractions that are in simplest form and find the simplest form of a fraction.

Simplest Form I can identify fractions that are in simplest form. I can write the simplest form of a fraction.

Intervention System H17 Using Models to Show Simplest Form (D)

9-8 How can you write a fraction as a decimal?

9-9 How can a fraction showing thousandths be expressed as a decimal?


CC.2.1.5.C.1 - Number & Operations - Fractions ~ Use

Tenths, Hundredths, and Thousandths

Students represent decimals as fractions through thousandths. Studetns can represent fractions with denominators of

I can convert a decimal with tenths, hundredths, and thousandths to a fraction. I can convert a fractions with a demoninator of 10, 100, and 1000 to a decimal.

Intervention System H 30-33Investigations Student Handbook 54-56

Using Tenth Strips to Model Fractions (D)

Use a Cube to Model Fractions (D)



the understanding of equivalency to add and subtract fractions.

10, 100, and 1000 as decimals.

9-10 How can a number line be used to compare and order decimals, fractions, and mixed numbers?



Fractions and Decimals on the Number Line

Label a point on a number line using a fraction and a decimal. Students locate a point representing a given fraction and/or decimal.

I can label a point on a number line with a fraction and decimal. I can mark the spot on a number line that represents a given fraction and/or decimal.

Intervention System H 21, 23, 34, 35Investigations Student Handbook Game G8

Locate Fractions and Decimals on a Number Line (D)

9-11 How do you write a math explanation?



Problem Solving: Writing to Explain

Explain how estimated fractional amounts of objects are calculated.

benchmark fraction I can explain estimation of fractional amounts.

Intervention System J 37 Explain and Record Observations (D)

Topic 9 Test

1/22/2015

Topic 10 - Adding and Subtracting Fractions and Mixed Numbers Suggested Topic Length 12 daysIncorporate lesson 2 into the Lesson 3 & 4 instruction to remind students about common multiples and least common multiples.Lessons 3 and 4 can be combined.After students learn how to add and subtract fractions, show them how to add and subtract fractions with the calculator.

Essential


Learning


Model

Lessons

Summative

Assessments

10-1A How can you estimate the sum or difference of two fractions?



Estimating Sums and Differences of Fractions

Use a number line to estimate sums and differences of fractions.

I can use a number line to estimate sums and differences of fractions.

Number lines(Teaching Tool 11),fraction models: strips(or Teaching Tool 27),scissors (per pair)

Use a number line to estimate the sum or difference of two fractions.

10-1 How do you add and subtract fractions with like denominators?


Adding and Subtracting Fractions with Like Denominators

Use models and computational procedures to add and subtract fractions with like denominators.

I can use computational procedures to add and subtract fractions with like denominators.

Intervention System H 38 Adding and Subtracting With Fraction Strips (D)

10-3 How can you add fractions with unlike denominators?

10-4 How can you subtract fractions with unlike denominators?


Adding and Subtracting Fractions with Unlike Denominators

Subtracting Fractions with Unlike Denominators

Use models and computational procedures to add and subtract fractions with unlike denominators.

least common denominator

I can use models and computational procedures to add and subtract fractions with unlike denominators.

Intervention System H 40 and 41Investigations Student Handbook 52-53 & Games G 12-13

Add Fractions With Unlike Denominators (D)

Subtract Fractions With Unlike Denominators (D)

10-5A How do you use models to add mixed numbers?


Modeling Addition and Subtraction of Mixed Numbers

Use models to add and subtract mixed numbers.

I can use models to add and subtract mixed numbers.

Fraction models:strips (or TeachingTool 27) (per pair

Model adding mixed numbers using drawings or fraction strips.

10-5 How can you add mixed numbers?


Adding Mixed Numbers

Use models and computational procedures to add mixed numbers.

I can use models and computational procedures to add mixed numbers.

Intervention System H 43 Adding Mixed Numbers (I)

10-6 How can you subtract mixed numbers?


Subtracting Mixed Numbers - Focus on problems in which the first mixed number does not need to be renamed in order to subtract. This will be taught towards the end of the year in preparation for 6th grade.

Use models and computational procedures to subtract mixed numbers.

I can use models and computational procedures to subtract mixed numbers.

Intervention System H 44 Subtracting Mixed Numbers (I)

10-7A How can you add and subtract mixed numbers to solve problems?


More Adding and Subtracting Mixed Numbers

Solve more complex problems involving the addition and subtraction of mixed numbers.

I can solve more complex problems involving the addition and subtraction of mixed numbers.

Practice adding and subtracting mixed numbers to solve a problem.

10-7 How can the strategy Try, Check, and Revise be used to help you solve problems?


Problem Solving: Try, Check, and Revise

Use three steps - try, check, and revise - in order to solve problems.

I can use the try, check,and revise strategy to solve problems.

Intervention System J 14 Determine the Right Size Tiles to Tile a Floor (D)

Topic 10 Test (adjust subtraction of mixed number problems as needed)

2/9/2015

Topic 11 - Multiplying Fractions and Mixed Numbers



Suggested Topic Length 11 days

Lesson 5 can be used to review problem solving (draw a picture and write an equation) for students who still have not mastered this skill.

Essential


Learning


Model

Lessons

Summative

Assessments

11-1 How can you multiply fractions and whole numbers?


Multiplying Fractions and Whole Numbers

Students multiply a fraction by a whole number.

I can multiply a fraction by a whole number.

Intervention System H 45 Find a Fraction of a Whole Number (I)

11-2A How can you use compatible numbers to estimate with fractions?


Estimating Products Use compatible numbers

and rounding to estimate with fractions.

I can use compatible numbers and rounding to estimate with fractions.

Use compatible numbers to estimate the product of a fraction and a whole number

11-2 How can you multiply fractions?


Multiply two fractions

Students give the product of two fractions.

I can give the products of two fractions.

Intervention System H 46 Find a Fraction of a Fraction (I)

11-3A s How does multiplying by a fraction change the second factor?


Area of Rectangle

Compare the size of the product to the size of one factor without multiplying as they begin to consider multiplication as scaling.

I can compare the size of the product to the size of one factor without multiplying as they begin to consider multiplication as scaling.

Centimeter GridPaper (TeachingTool 12)


11-3 How can you multiply mixed numbers?


Multiplying Mixed Numbers

Students multiply mixed numbers.

I can multiply mixed numbers. Intervention System H 50 Multiply Mixed Numbers (I)

11-4A How does multiplying by a fraction change the second factor?


Multiplication as Scaling


resizingscaling

I can compare the size of the product to the size of one factor without multiplying as they begin to consider multiplication as scaling.


11-4 How you do divide a whole number by a fraction?


Relating Division to Multiplication of Fractions

Students divide whole numbers by fractions.

reciprocal I can divide whole numbers by fractions.

Intervention System H 47 Fold Paper to Divide a Whole Number by a Fraction (I)

11-5A How can you model dividing a unit fraction by a whole number?


Dividing Unit Fractions by Non-Zero Whole Numbers

Discover the inverse relationship between multiplication and division that will help them to divide unit fractions by whole numbers.

I can discover the inverse relationship between multiplication and division that will help them to divide unit fractions by whole numbers.

Paper Divide a unit fraction by a whole number by folding paper to represent a pan of brownies.

Topic 11 Assessment

2/25/2015

Topic 13 - Solids Suggested Topic Length 8 days

Essential Questions




13-4 How can you get information about a solid from different views?


Views of Solids

Students identify different views of a solid.

I can identify different views of a solid.

Centimeter Cubes (8 cubes for each group of 3 students)Centimeter Grid Paper - Teaching Tool 12

Draw Representation of Cubes (I)

13-5 How do you find the volume of a rectangular prism?


Volume Students count cubic units and use formulas to find the volume of rectangular prisms.

volumecubic unit

I can count cubic units and use formulas to find the volume of rectangular prisms.

40 centimeter cubes per group Build a Rectangular Prism and Calculate Volume (I)

13-5A How can you use models to find the volume of a rectangular prism?

CC.2.4.5.A.5 - Measurement and Data ~ Apply concepts of volume to solve problems and relate volume to

Models and Volume

Determine the volume of rectangular solids.

volumecubic unit

I can determine the volume of rectangular solids.

Unit cubes (30 per student), manila folder (per pair)

Construct models to represent and determine the



multiplication and to addition.

volume of a rectangular prism.

13-6 How can you find the volume of an irregular shape?


Irregular Shapes and Solids

Students find the areas and volumes of irregular shapes and solids.

I can find the areas and volumes of irregular shapes and solids.

PaperPencils

Find the Area of an Irregular Shape (I)

13-6A How can you use volume formulas to solve problems?


Combining Volume

Find volumes of irregular solids.

I can find volumes of irregular solids.

Combining volumes (Teaching Tool 47)markers in 2 colors

Identify simpler rectangular solids that make up an irregular solid, find their volumes, and combine volumes to calculate the total volume.

13-7 How can you use a simpler problem to solve another problem?


Problem Solving: Use Objects and Solve a Simpler Problem

Students use objects to act out and break apart problems into simpler ones in order to reach a solution.

I can use objects to act out and break apart problems into simpler ones in order to reach a solution.

60 centimeter cubes per group Use Cubes to Solve a Simpler Problem (D)

Topic 13 Assessment

3/11/2015

Topic 14 - Measurement Units, Time, and Temperature Suggested Length of Topic - 7 Days

Essential Questions




14-1 How can you measure capacity using customary units?


Customary Units of Capacity

Use a variety of customary units to measure liquid volume.

capacitypintquartgalloncupfluid ounce

I can use a variety of customary units to measure liquid volume.

Intervention System I 24 Capacity of Different Containers (D)

14-2 How can you measure capacity using metric units?


Metric Units of Capacity

Use metric units to measure liquid volume.

milliliterliter

I can use metric units to measure liquid volume.

Intervention System I 25 Capacity of Containers Using Metric Units (D)

14-3 How do you measure an object's weight and mass?


Units of Weight and Mass

Use units of mass and weight to determine the amount of matter an object has and how heavy or light an object is.

weightouncepoundtonmassmilligramgramkilogram

I can use units of mass and weight to determine the amount of matter an objects has and how heavy or light an object is.

Intervention System I 26-27 Measure Mass (D)

14-4 How do you convert measurements from one customary unit to another?


Converting Customary Units

Convert customary units of measure using multiplication and division.

I can convert customary units of measure using multiplication and division.

Intervention System I 33-35 Measure Length of Jumps - in feet and yards (D)

14-5 How do you convert from one metric unit to another?


Converting Metric Units

Convert metric units of measure using multiplication and division.

I can convert metric units of measure using multiplication and division.

Intervention System I 36 Measure Wingspan in Centimeters and Meters (D)

Topic 14 Test

3/20/2015

Topic 17 - Equations and Graphs Suggested Topic Length - 6 Days

Essential Questions




17-2 How can you describe the location of a point on a coordinate plane?


Ordered Pairs Identify and graph points on a coordinate plane.

coordinate gridcoordinate planeordered pairx-axisy-axisoriginx-coordinatey-coordinate

I can identify and graph points on a coordinate plane.

Intervention System F33 Identify Points on Coordinate Plane (D)

17-3 How can you find the distance between integers on the number line?


Distances on Number Lines and the Coordinate Plane

Use number lines and the coordinate plane to find distances involving positives and negative numbers.

I can use number lines and the coordinate plane to find distances involving positive and negative numbers.

Intervention System F31 Changes in Temperature (D)

17-4A How can you find the horizontal or vertical distance between2 ordered pairs?


Find the distance between two points by using ordered pairs.

Find the distance between two points by using ordered pairs.

I can find the distance between two points by using ordered pairs.

10 x 10 grids (Teaching Tool 7) (1 grid per student)

Students use ordered pairs to find length.

17-4B How can you use coordinate grids to show mathematical relationships?

CC.2.3.5.A.1 - Geometry ~ Graph points in the first quadrant on the

Create and interpret coordinate graphs.

Create and interpret coordinate graphs.

I can create and interpret coordinate graphs.

Grid paper Plot ordered pairs on a coordinate grid.



coordinate plane and interpret these points when solving real world and mathematical problems.

17-4C How can you use coordinate graphs to show mathematical relationships?


More Patterns and Graphing

Use coordinate graphs to explore the relationship between two rules.

I can use coordinate graphs to explore the relationship between two rules.

Topic 17 Test

3/31/2015

Topic 18 - Graphs and Data Suggested Length of Topic - 3 Days

Essential Questions




18-2A How can we organize and represent measurement data?


Making Line Plots

Learn how to make a line plot from data in a frequency table.

I can learn how to make a line plot from data in a frequency table.

Make a line plot from data in a frequency table.

18-2B How can we solve problems involving measurement data?


Measurement Data

Pose problems about measurement data represented on a line plot.

I can pose problems about measurement data represented on a line plot.

18-2 How do you make and interpret a double bar graph?


Bar Graphs and Picture Graphs

Students make and interpret bar graphs, double-bar graphs, and picure graphs.

double-bar graphbar graphpicture graphscaleinterval

I can make and interpret bar graphs, double-bar graphs, and picure graphs.

InvestigationsStudent Math Handbook 85-88

Intervention System I 60-61, 70

Make and Interpret a Double-Bar Graph (I)

Topic 18 Assessment

4/10/2015

Topic 1 - Numeration Suggested Topic Length - 1 Day

This lesson expands on grade 5 standards and prepares students for grade 6 content.

Essential


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1-5: How can you use information organized on a grid to help find a pattern?

Problem Solving: Look for a Pattern

Look for patterns with decimal-number sets in order to solve problems.

I can look for a pattern to solve a problem.

Grid Place Value Patterns (I)

Topic 1 Assessment

4/22/2015

Topic 3 - Multiplying Whole Numbers Suggested Topic Length - 1 Day


Essential


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3-7: How can you use exponents to represent repeated multiplication of the same number?

Exponents Use exponential notation.

exponential notationexponentbasestandard formexpanded formsquaredcubed

I can use exponential notation. Intervention System G62 Repeated Multiplication With Exponents (I)

Topic 3 Assessment

4/23/2015

Topic 4 - Dividing by 1-Digit Numbers Suggested Topic Length - 2 Days


Essential


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4-3: How can you check that your answer is reasonable?

Problem Solving: Reasonableness

Check problems for reasonableness by using various methods, including estimation and checking their final answer.

I can identify if an answer is reasonable.

Intervention System J35 Check for Reasonable Answers (I)

4-9: How can you draw a picture to help choose an operation?

Problem Solving: Draw a Picture and Write an Equation

Use pictures and equations to help represent remainders in a problem.

I can draw a picture and write an equation to solve a problem.

Intervention System J12 Choose an Operation (D)

Topic 4 Assessment

4/27/2015

Topic 6 - Variables and Expressions Suggested Topic Length - 1 Day


Essential


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Model

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Assessments

6-2: How can you use algebraic expressions to

Patterns and Expressions

Use patterns to show

I can complete tables and evaluate algebraic expressions.

Intervention System F26, F27, F28 Complete Tables and Write Algebraic

Topic 6 Assessment

4/28/2015



describe relationships?

relationships and evaluate algebraic expressions.

Expressions to Describe Relationships (D)

Topic 12 - Perimeter and Area Suggested Topic Length - 2 Days

Lesson 6 prepares students for grade 6 skills.

Lesson 7 prepares students for grade 7 skills. Expose students to this information, but assessment is not necessary.

Essential


Learning


Model

Lessons

Summative

Assessments

12-6 How can you use a parallelogram to find the area of a triangle?

Area of Triangles

Find the area of a triangle by using a formula.

Find a missing length when the area and other dimensions are known.

I can find the area of a triangle by using a formula.

I can find a missing length when the area and other dimensions are known.

Intervention System I 50 Area of a Triangle (I)

12-7 How do you find the center, radaii, diameter, chords, and circumference of a circle?

Circles and Circumference

Learn the parts of a circle and calculate circumference.

circlecenterpiradiusdiameterchordcentral anglecircumference

I can learn the parts of a circle and calculate circumference.

Intervention System I 14 and 51 Circular Garden Model (I)

Topic 12 Assessment

4/30/2015

Topic 13 - Solids Suggested Topic Length - 4 Days

These lessons prepare students for grade 6 skills.

Essential


Learning


Model

Lessons

Summative

Assessments

13-1 How do you describe a solid figure?

Solids Students identify solid figures according to faces, edges, and vertices.

solid figurecubefaceedgevertexprismcylinderconepyramid

I can identify solid figures according to faces, edges, and vertices.

Power Solids Solid Figure Indentification

13-2 How do you use a two-dimentional shape to represent a three-dimentional solid?

Relating Shapes and Solids

Students identify a two-dimentional representation (net) of a solid

net I can identify a two-dimentional representation (net) of a solid.

Interactive Learning Recording Sheet 25Cardboard BoxScissorsClear Tape

Creating a Solid from a Net

13-3 How can you find the surface area of a rectangular prism?

Surface Area Students determine the surface area of rectangular solids.

surface area I can determine the surface area of rectangular solids.

Interactive Learning Recording Sheet 26Inch Rulers - Teaching Tool 31

Surface Area of Rectangular Prisms

Topic 13 Assessment

5/6/2015

Topic 15 - Solving and Writing Equations and Inequalities Suggested Topic Length 7 Days


Essential


Learning


Model

Lessons

Summative

Assessments

15-1 How can you use addition and subtraction to solve an equation?

Solving Addition and Subtraction Equations

Solve one-step equations involving addition and subtraction.

Addition Property of EqualitySubtraction Property of EqualityInverse OperationsEquation

I can solve one-step equations involving multipllication and division.

Intervention System F47 & 49 SolveAddition and Subtractions Equations (D)

15-2 How can an equation be solved using multiplication and division?

Solving Multiplication and Division Equations

Solve one-step equations involving multiplication and division.

Multiplication Property of EqualityDivision Property of Equality

I can solve one-step equations involving multiplication and division.

Intervention System F48-49 Solve a Multiplication and Division Equation (D)

15-3 How do you graph and inequality on a number line?

Inequalitites and the Number Line

Use a number line to graph solutions.

InequalitySolution of Inequality

I can use a number line to graph solutions.

Graph Inequalities (I)

15-4 How can you write a rule for a pattern to complete a table?

Patterns and Equations

Complete a table of values for an equation.

Describe the relationship between pairs of numbers in a table.

I can complete a table of values for an equation.

I can describe the relationship between pairs of numbers in a table.

Intervention System F29 Solve Equations to Complete Tables (D)

15-5 How do you draw a picture and write an equation to solve a problem?

Problem Solving: Draw a Picture and Write and Equation

Draw diagrams/pictures and write equations to solve problems.

I can draw diagrams/pictures and write equations to solve problems.

Intervention System F51-52 Draw a Picture and Write an Equation (D)

Topic 15 Assessment

5/15/2015

Topic 16 - Ratio and Percent Suggested Topic Length - 5 Days




Lesson 5 can be used to review problem solving (make a table and look for a pattern) for students who still have not mastered this skill.

Essential


Learning


Model

Lessons

Summative

Assessments

16-1 What are ratios and when are they equal?

Understanding Ratios

Read and write ratios and generate equal ratios.

ratioequal ratio

I can read and write ratios and generate equal ratios.

Intervention System H 69 Write a Ratio Three Ways (I)

16-2 What does percent mean? Understanding

Percent

Write a percentage for a given situation and create situations for given percentages.

percent I can write a percentage for a given situation and create situations for given percentages.

Intervention System H 78 Percent is a Ratio (I)

16-3 How are percents related to fractions and decimals?

Percents, Fractions, and Decimals

Write numbers as fractions, percents, and decimals.

I can write numbers as fractions, percents, and decimals.

Intervention System H 79

InvestigationsStudent Math Handbook G10, 40-41, 46-49, 59-60

Fractions, Decimals, and Percents (I)

16-4 How can you find a percent of a given number?

Finding Percent of a Whole Number

Find the given percent of a whole number.

I can find the given percent of a whole number.

Intervention System H 82 Percent is Part of a Whole (I)

Topic 16

5/26/2015

Topic 17 - Equations and Graphs Suggested Topic Length 3 Days


Essential


Learning


Model

Lessons

Summative

Assessments

17-1 What are integers and what situations can integers represent?

Understanding Integers

Read and write integers and represent them on a number line.

integers I can read and write integers and represent them on a number line.

Intervention System F16 Locating Integers on a Number Line (I)

17-4 How can you graph an equation on a coordinate grid?

Graphing Equations

Make a table of x and y values for an dquation.

Use the ordered pairs to graph the equation.

linear equationx-valuey-value

I can make a table of x and y values for an equation.

I can use ordered pairs to graph the equation.

Intervention System F34 Use Tables to Graph Linear Equations (I)

17-5 How can you work backward to solve a problem?

Problem Solving: Work Backward

Work backward to solve a problem.

I can work backward to solve a problem.

Intervention System J28 Working Backward (D)

Topic 17 Test

5/29/2015

Topic 18 - Graphs and Data Suggested Topic Length 10 Days

Use Social Studies material throughout the year to expose students to the types of graphing skills in this topic. These skills are for preparaing students for 6th grade material.

Essential


Learning


Model

Lessons

Summative

Assessments

18-1 How can you display that data collected in a survey?

Data From Surveys

Students collect data and record data in frequency tables and line plots.

Students Interpret the Results.

surveyfrequency tableline plotsample

I can collect data and record data in frequency tables and line plots.

I can interpret the Results.

Investigations Student Math Handbook 79-81Unit 9 22-28

Intervention System I 59

Collect and Record Survey Results (D)

18-3 How can data be represented in a line graph?

Line Graphs Students make a line graph from a set of ordered pairs.

Students also read and interpret the line graph.

line graphtrend

I can make a line graph from a set of ordered pairs.

I can also read and interpret the line graph.



Make a Line Graph (D)

18-4 How can you make and read a stem-and-leaf plot?

Stem-and-Leaf Plots

Students use place value to organize data in a stem-and-leaf plot.

stem-and-leaf plot I can use place value to organize data in a stem-and-leaf plot.

Intervention System I 65 Make a Stem-and-Leaf Plot (I)

18-5 How do you make and interpret a histogram?

Histograms Students make and interpret histograms.

histogram I can make and interpret histograms.

Intervention System I 68 Create a Histogram (I)

18-6 How can you use percents to label a circle graph?

Circle Graphs Students complete circle graphs and interpret data given in circle graphs.

circle graph I can complete circle graphs and interpret data given in circle graphs.

Intervention System I 66 Complete and Interpret a Circle Graph (D)

18-7 How can you find the mean or average of a set of data?

Mean Students find the mean of data sets.

meanaverage

I can find the mean of data sets.

Intervention System I 71 Find the Mean of a Set of Data (D)

18-8 What are some ways to

Median, Mode, and Range

Students find the median,

Students find the median, mode, and range of data sets.




describe a set of data?

mode, and range of data sets.

medianmoderange

Unit 9 29-34


Find the Median, Mode, and Range (D)

18-9 How do you choose the best graph to display data?

Problem Solving: Make a graph

Students read, interpret, and make various types of graphs to solve problems.

I can read, interpret, and make various types of graphs to solve problems.

Intervention System J 30 Choose an Appropriate Graph Type for a Set of Data (D)

Topic 14 - Measurement These lessons prepare students for future math skills beyond grade 6. This material may be used for students in need of enrichment.

Essential


Learning


Model

Lessons

Summative

Assessments

14-6 What is elapsed time?

Elapsed Time Use models and computational procedures to find start time, elapsed time, and end time involving hours and minutes.

elapsed time I can use models and computational procedures to find start time, elapsed time, and end time involving hours and minutes.

Intervention System I 40 Elapsed Time (D)

14-7 How can elasped time be caluclated using minutes, hours, days, and weeks?

Elapsed Time in Other Units

Use models and computational procedures to find start time, elapsed time, end time involving minutes, hours, days, and weeks.

I can use models and computational procedures to find start time, elapsed time, end time involving minutes, hours, days, and weeks.

Intervention System I 41 Elapsed Time on Consecutive Days (D)

14-8 How do you solve problems involving changes in temperature?

Temperature Change

Use thermometers and computational procedures to find changes in temperature in both fahrenheit and celsius units.

fahrenheitcelsius

I can use thermometers and computational procedures to find changes in temperature in both fahrenheit and celsius units.

Intervention System I 42 Use a Thermometer to Find Change in Temperature (D)

14-9 How can you use a table to solve a problem?

Problem Solving: Make a Table

Make and read tables as a way of solving problems.

I can make and read tables as a way of solving problems.

Intervention System J 20 Make a Table to Organize Data and Answer a Word Problem (D)

Topic 19 - Transformations, Congruence, and Symmetry These lessons prepare students for future math skills beyond grade 6. This material may be used for students in need of enrichment.

Essential


Learning


Model

Lessons

Summative

Assessments

19-1 How can you describe and show a translation?

Translations Students use coordinates to describe and sketch a translation of a figure.

translation I can use coordinates to describe and sketch a translation of a figure.

First-Quadrant Grids - Teaching Tool 16

Translate Points on a Coordinate Grid (D)

19-2 How can you describe and show a reflection?

Reflections Students use coordinates to describe and sketch a reflection of a figure.

reflection I can use coordinates to describe and sketch a reflection of a figure.


Reflect a Figure (D)

19-3 How can you describe and show a rotation?

Rotations Students use coordinates to describe and draw a rotation of a figure.

rotation I can use coordinates to describe and draw a rotation of a figure.


Rotate a Figure (D)

19-4 How can you verify that two figures are congruent?

Congruence Students determine whether a pair of congruent figures are related by a transformation, reflection, rotation, or some combination of the three.

congruenttransformation

I can determine whether a pair of congruent figures are related by a transformation, reflection, rotation, or some combination of the three.

Centimeter Grid Paper - Teaching Tool 12Scissors

Transformations (D)

19-5 How can you identify lines of symmetry in a figure?

Symmetry Students explore figures that have line symmetry and rotational symmetry.

line symmetryline of symmetryrotational symmetry

I can identify figures that have line symmetry and rotational symmetry.

Index CardsScissorsPaperPencilsRulers

Symmetry with Paper Folding (D)

19-6 How can you use objects to solve problems?

Problem Solving: Use Objects

Students use a variety of objects to solve problems.

pentomino I can use a variety of objects to solve problems.

DominoColor Tiles

Solve a Problem with Color Tiles (D)

Topic 20 - Probability These lessons prepare students for future math skills beyond grade 6. This material may be used for students in need of enrichment.



Essential

Questions

Standards Content Skills Vocabulary Learning

Targets/Feedback

Resources/Strategies Model

Lessons

Summative

Assessments

20-1 How can you list outcomes of a probability experiment?

Outcomes Students find all possible outcomes of a probability experiment by using a tree diagram or by multiplying.

tree diagramsample space

I can find all possible outcomes of a probability experiment by using a tree diagram or by multiplying.

Intervention System I 80-81 Use a Tree Diagram to List Possible Outcomes (I)

20-2 What is the probability of an event?

Writing Probability as a Fraction

Students use fractions to represent the theoretical probability of an event.

probabilityequally likely

I can use fractions to represent the theoretical probability of an event.

InvestigationsStudent Math Handbook 89-92Unit 9 86-108


Perform a Probability Experiment (I)

20-3 How can you use probability to make predictions?

Experiments and Predictions

Students use fractions to represent the experimental probability of an event and use the probability to make predictions.

prediction I can use fractions to represent the experimental probability of an event and use the probability to make predictions.

Intervention System I 82 Make Predicttions, Find Probability, and Test Predictions (I)

20-4 How do you find all the different paris of objects that can be chosen?

Problem Solving: Solve a Simpler Problem

Students break apart word problems into simpler problems in order of find solutions.

I can break apart word problems into simpler problems in order of find solutions.

Intervention System J 19 Solve a Problem About Possible Outcomes (I)

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