Epping School District – Plans for Mathematics Instruction … Pla… · · 2013-06-20Epping School District Plan for Mathematics Instruction K-5 Page 1 of 41 Epping School District

Epping School District Plan for Mathematics Instruction K-5 Page 1 of 41

Epping School District – Plans for Mathematics Instruction K-5

The teachers at Epping Elementary School have spent significant time developing their instruction in mathematics to align with the New Hampshire standards which are the Common Core State Standards. Their work is summarized in this document.

Epping Elementary School Plan for Mathematics Instruction

Kindergarten

Unit of Study

Learning Targets Common Core State

Standards

I Can Statements

Chapter 1: Numbers to 5

•Explore math materials *exploring materials that will be used throughout the curriculum *establishing classroom routines •Lesson 1 All about 1 and 2 *count groups of 1 and 2 *write the numerals 1 and 2 •Lesson 2 Finding Matches *match and sort *look for sameness *understand not the same •Lesson 3 Not the Same but Different: All About 3 *understand different *sort using a single attribute *count groups of 3 *write the numeral 3 •Lesson 4 Why is This Different? All About 4 *understand differences *count groups of 4 *write the numeral 4 •Lesson 5 All About 5 *count groups of 5 *write the numeral 5

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*I can read numbers 1 to 5.

*I can write numbers from 1 to

5.

*I can write how many from 1

to 5.

*I can say 1 number for 1 thing

when I count.

*I can sort things into groups

by attributes.

*I can count to 15.

*I can see that there are

weekdays and weekend days

on the calendar.


Calendar Math

•Big Ideas *count sequentially *recognize numerals *count with 1-1 correspondence *group by 10s and 1s *explore days of the week *interpret graphs *compare small quantities *identify and describe circles

Chapter 2: Numbers to 10

Lesson 1 All About 6 *count from 1 to 6 *read and write the numerals 1 to 6 •Lesson 2 All About 7 *count from 1 to 7 *read and write the numerals 1 to 7 •Lesson 3 All About 8 *pair number names with numerals *count from 1 to 8 *read and write the numerals 1 to 8 •Lesson 4 Numbers 0 to 9 *pair number names with numerals *introduce the concept of 0 *use 0 to 9 to tell the number of objects *read and write the numerals 1 to 9 •Lesson 5 Pairing Sets With Numbers *pair up sets of objects with other sets of the same quantity *introduce one more, one less, and the same number •Lesson 6 Pairing One-to-One *pair up sets of objects with other sets of the same quantity •Counting Jar *count a set of objects *create a set of a given size *record numerical information

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*I can see that the number of

things is the same no matter

how they are arranged.

*I can count to 29.

*I can read numbers to 9.

*I can write numbers to 9.


when I count up to 10.


Calendar Math

•Big Ideas *sort by 1 attribute *visualize domino arrangements 1 to 9 *match quantities with numerals *tell number stories *use positional words *record and interpret data on a graph over time *solve problems *use mental math

Chapter 3: Ordering by Size, Length, or Weight

•Lesson 1 Ordering Things by Size *pair up sets of objects *order objects by size •Lesson 2 Comparing Sizes *use comparing words *pair up sets of objects •Lesson 3 Ordering Things by Length *order objects according to length •Lesson 4 Ordering Things by Weight *order objects according to weight

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*I can count to 29.

*I can name 11 numbers.

*I can order objects by size.

*I can tell which object is

bigger or smaller.


longer or shorter.


heaver or lighter.

*I can make 5 using two

smaller numbers.

*I can take 5 apart into two

smaller numbers.

*I can add one more.

*I can tell which group has

more.

*I can tell which group has less.

*I can tell which group has the

same.

Chapter 4: Counting Numbers 0 to 10

•Lesson 1 Composing and Decomposing 5 *composing numbers through 5 *decomposing numbers through 5 •Lesson 2 Counting and Ordering Up to 10 *review counting and 1 to 1 correspondence *pair number names with numerals *order numbers 0 to 10 *understand the concept of one more •Lesson 3 Using Your Fingers and Toes *know that fingers can represent a set of objects up to 5 *know that fingers and toes can

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*I can see that the number of



*I can count to 29.

*I can read numbers to 9.



when I count up to 10.


Calendar Math

represent a set of objects up to 20 *determine one more •Lesson 4: Same Number and More *understand and show the meaning of same and more *know how many more •Lesson 5 Fewer Than *review one more *understand and show the meaning of less •Lesson 6: How Many in All? *use more and less to compare number values •Big Ideas *explore and describe the attributes of rectangles regardless of orientation *see sets of 1 to 9 as combinations of smaller sets *understand temperature

Chapter 5: Size and Position

•Lesson 1 Big and Small Things *review size comparisons using big and small *understand the concept of same sized objects •Lesson 2 Does It Fit? *explore the idea that only a few big objects fit into small spaces and many small objects fit into big spaces •Lesson 3 Positions *identify positions of objects in space *use appropriate positional language to describe and compare •Lesson 4 ‘Before’ and ‘After’ *use language such as before or after to describe relative position in a sequence of events

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*I can see when objects are the

same size.

*I can use positional words.


*I can name numbers to 20.

*I can say the pattern on the

calendar.

Chapter 6: Numbers 0 to 20

•Lesson 1 All About 10 *review numbers 0 to 9 *count to 10 *read and write the numeral 10 *rote count to 20 •Lesson 2 Numbers 10 to 12

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Calendar Math

*count to from 10 to 12 *read and write numerals to 12 •Lesson 3 Numbers 13 to 16 *count from 13 to 16 *read and write numerals 13 to 16 •Lesson 4 Numbers 17 to 20 *count from 17 to 20 *read and write numerals 17 to 20 •Lesson 5 Compare and Order *compare of groups of up to 20 objects *order groups of up to 20 objects Big Ideas *find one more and one less *see sets as combinations of smaller sets *group and count by 10s and 1s *identify, describe, and compare triangles *describe and extend patterns

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Chapter 7: Solid and Flat Shapes Calendar Math

•Lesson 1 Solid Shapes *recognize basic solid shapes *understand that some shapes have flat faces, edges, and corners and some do not. •Lesson 2 Flat Shapes in Solid Shapes *describe basic solid and flat shapes *name basic flat shapes *recognize the relationship between solid shapes and flat shapes. •Lesson 3 Flat Shapes *draw flat shapes *revisit big and small. •Lesson 4 Flat Shape Pictures *identify basic flat shapes within a scene. *make a picture using basic flat shapes. •Lesson 5 Shape Patterns *identify and extend a shape pattern. •Big Ideas *identify, describe, and compare cylinders and rectangular solids *count quantities to 31 emphasizing 11 through 19

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*I can name flat and solid

shapes.

*I can talk about flat and solid

shapes.

*I can see shapes around me.

*I can make shapes.

*I can put shapes together to

make another shape.


*count on *explore part/whole relationships •Today’s Question *collecting and recording data *counting and comparing the number of students in 2 different groups * exploring materials that will be used throughout the curriculum

Chapter 8: Numbers to 100 Calendar Math

•Lesson 1 Counting by 2s *recognize and use pairs for counting *count by 2s *use the counting by 2s sequence to count up to 20 objects •Lesson 2 Counting by 5s *count by 5s up to 20 *keep count of numbers using tallies •Lesson 3 Counting by 10s to 100 *counting to 100 *counting by 10s •Lesson 4 Numbers 20 to 49 *counting to 49 *counting from any given number to 49 •Lesson 5 Numbers 50 to 79 *counting to 79 *counting from any given number to 79 •Lesson 6 Numbers 80 to 100 *counting to 100 *counting from any given number to 100 •Lesson 7 Numbers 1 to 100 *counting to 100 *sequencing numbers from 1 to 100 Big Ideas *understand 100 *group by tens, fives, and ones with tally marks *find two more and two less *tell stories that match domino sets *see a pair as a group of two *identify tomorrow *recognize a penny

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*I can count to 100.

*I can count to 100 by tens.

*I can write numbers 0-20.

* I can say 1 number for 1 thing

when I count.

*I can count and tell how

many.

* I can see that the number of



*I can see a pair as 2 things.

*I can tell a story that matches

a domino.

*I can tell you what tomorrow

is.


Chapter 9: Comparing Sets

Lesson 1 Counting Sets of up to 10 *compare sets of up to 10 objects *understand fewer and less *understand more *recognize and understand number lines •Lesson 2 Comparing sets of 11 to 20 *compare sets of up to 20 objects •Lesson 3 Comparing Sets to find the Difference *understand most and fewest *count the difference through comparing sets in 1-1 correspondence •Lesson 4 Combining Sets *count on *add using number lines *count on using fingers

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*I can name 30 numbers.

*I can count on with a number

line.

*I can count on with my

fingers.


most.


fewest.

*I can count 5s.

*I can count by 10s.

*I can count past 100.

Chapter 10: Ordinal Numbers Calendar Math

•Lesson 1 Sequencing Events *sequence events *understand first, next, and last to sequence events *understand first, second, third, and last to sequence events •Lesson 2 Physical Position *understand first, second, and third in terms of physical position *understand before and after in terms of physical position •Lesson 3 Showing your Preferences *rank preferences using first, second, and third *make picture graph based on preferences Big Ideas *recognize sphere *group and count by tens, fives, and ones *understand the + sign *count beyond 100 *use patterns to make predictions *recognize nickel *use language of size comparison

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*I can use a pattern to tell

what comes next.

*I can tell what comes first,

second, third, and last.

*I can tell what comes before

and after.

*I can tell you my first, second,

and third choices.


Chapter 12: Counting On and Counting Back

Lesson 1 Counting On to 10 *revisit associating fingers with numbers *revisit ordering numbers to 10 *revisit comparing using 1-1 correspondence •Lesson 2 Counting Back Using Fingers *count back using fingers *count back using other representations •Lesson 3 Finding Differences Using Fingers *revisit more and fewer *count up and back to find the difference between two sets

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*I can count back using my

fingers or a picture.

*I can count back to find the

difference between two

groups.

*I can make numbers up to 10

using 2 smaller numbers.

*I can take numbers apart up

to 10 into two smaller

numbers.


using 2 smaller numbers using

10 frames.


to 20 into 2 smaller numbers

using 10 frames.

*I can count on to tell how

many more to make 15.

Chapter 14: Number Facts

•Lesson 1 Number Facts to 10 *review composing and decomposing numbers through 5 *compose and decompose numbers through 10 •Lesson 2 Combining Sets *combine sets to make 5, 6, 7, 8, 9, and 10 •Lesson 3 Composing and Decomposing Numbers to 20 *compose numbers to 20 with 5 frames and 10 frames *decompose numbers to 20 with 5 frames and 10 frames •Lesson 4 Counting On *count on using a number line *count on to find the difference *combine two sets to find how many more for sums through 15

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to 10 into two smaller

numbers.


using 2 smaller numbers using

10 frames.


to 20 into 2 smaller numbers

using 10 frames.

*I can count on to tell how

many more to make 15.

Chapter 17: Addition Stories

•Lesson 1 Writing Addition Sentences and Representing Addition Stories *understand addition as the joining of two sets

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*I can listen to a math story

and answer the question how

many in all.

*I can read and write a number


Calendar Math

*understand symbols + and =, and number sentence *use numerals and symbols to write number sentences *represent addition stories with addition sentences •Lesson 2 Addition Facts to 5 *fluency with addition facts to 5 Big Ideas *use words and symbols to record addition and subtraction stories *decompose numbers less than 10 in more than one way *compare spheres, cubes, and cones *recognize dimes and pennies *count on from 10 *compare data from different graphs

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sentences using + and =.

*I can answer math facts to 5.

Chapter 18: Subtractions Stories

•Lesson 1 Writing Subtraction Sentences and Representing Subtraction Stories *understand simple subtraction *understand the – symbol *use symbols and numerals to write number sentences *represent subtraction stories with subtraction sentences •Lesson 2 Comparing Sets *review how many more *compare 2 sets and show the number sentence to answer how many more •Lesson 3 Subtraction Facts to 5 *fluency with subtraction facts to 5

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*I can listen to a math story

and answer the question how

many are left.

*I can read and write a number

sentences using - and =.

*I can answer math facts to 5.

Chapter 15: Length and Height

•Lesson 1 Comparing Lengths *review long *review short *review longer, longest, shorter and shortest. *compare lengths •Lesson 2 Comparing Lengths Using Nonstandard Units *use nonstandard units to measure and compare lengths *understand that more units are needed to measure a longer object than a shorter object

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*I can measure length with

cubes.

*I can measure height with

cubes.

*I can tell which object is taller

or shorter by measuring with

cubes.


longer or shorter by measuring

with cubes.


Epping Elementary School

Calendar Math

*find differences in lengths using nonstandard units •Lesson 3 Comparing Heights Using Nonstandard Units *understand tallest and shortest in terms of height *use nonstandard units to measure and compare height *understand that more units are needed to measure a taller object than a shorter object •Big Ideas *explore a growing pattern *count on from 5 *explore the different parts of numbers to 9 * read and interpret data on a picture or bar graph *describe cylinders, rectangular solids, and cubes *identify circles, rectangles, squares

Chapter 16: Classifying and Sorting

•Lesson 1 Classifying Things by One Attribute *classify objects using one attribute (color, size, shape, special features) *identify objects that do not belong to a set •Lesson 2 Classifying and Sorting Things by Two Attributes *classify objects according to 2 attributes *classify objects according to 3 attributes *sort objects by 1 or 2 attributes (color, size, shape, special features)

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*I can group objects by

different attributes.

Chapter 19: Measurement

•Lesson 1 Comparing Weights Using Nonstandard Units *review heavy, heavier, light, and lighter *compare weights using nonstandard units •Lesson 2 Comparing Capacities *compare containers according to capacity *use the terms holds more, holds less, and holds the same amount •Lesson 3 Comparing Events in Time *compare events according to duration

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*I use can use a balance scale and

cubes to tell which objects are

heavier or lighter.

*I can use cubes to tell which

container holds more and which

holds less.

*I can tell which things take a long

time or a short time to do.


Plan for Mathematics Instruction Grade One

Unit of Study Learning Targets Common Core State

Standards

I Can Statements

Chapter 1- Numbers to 10

Count to ten Comparing numbers Making number patterns

1.NBT.1 I can count and compare numbers to 10. I can count 0- 10 objects. I can read and write numbers 0-10 in numbers and words. I can compare 2 sets of objects. I can identify more or fewer of the same objects. I can identify numbers greater than or less than within 10. I can make number patterns. I can compare numbers. I can look for patterns.

Chapter 2- Number Bonds

Making Number Bonds Problem Solving

1.OA.3 I can use connecting cubes or a math balance to find number bonds I can find different number bonds to 10 I can analyze parts and whole I can act it out I can guess and check

Chapter 3-Addition facts to 10

Ways to Add Making Addition Stories Real-World Problems: Addition Problem Solving

1.OA.1 1.OA.3 1.OA.5 1.OA.6 1.OA.7 1.OA.8

I can count on to add. I can use number bonds to add in any order. I can write and solve addition sentences. I can tell addition stories about pictures. I can write addition sentences. I can write addition stories I can solve real-world problems I can act it out. I can draw a diagram

Chapter 4- Subtraction to 10

Ways to subtract Making subtraction stories Real World Problems: Subtraction

1.OA.1 1.OA.4 1.OA.5 1.OA.6

I can take away to subtract. I can count on to subtract. I can count back to subtract. I can use number bonds to subtract.


Making fact families Problem Solving

1.OA.7 1.OA.8 1.NBT.1 1.NBT.4

I can write and solve subtraction sentences. I can tell subtraction stories about pictures. I can write subtraction sentences. I can write subtraction sentences. I can solve real-world word problems. I can recognize related addition and subtraction sentences. I can write fact families. I can use fact families to solve real-world problems. I can analyze parts and whole I can use problem solving strategies I can guess and check.

Chapter 5 - Shapes and Patterns

Exploring Plane Shapes Exploring Solid Shapes Making Pictures and Models with Shapes Seeing Shapes Around Us Making Patterns with Plane Shapes Making Patterns with Solid Shapes Problem Solving (Do not use workbook. Pages use pattern blocks instead)

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I can identify plane shapes. I can classify plane shapes. I can describe plane shapes. I can make same and different shapes. I can identify solid shapes. I can classify solid shapes. I can sort solid shapes. I can combine and separate plane shapes. I can combine and separate solid shapes. I can identify plane shapes to real life objects. I can identify solid shapes to real life objects. I can use plane shapes to identify patterns. I can use plane shapes to extend patterns. I can use plane shapes to create patterns. I can use solid shapes to identify patterns. I can use solid shapes to extend patterns. I can use solid shapes to create patterns. I can use pattern blocks to cover shapes.

Chapter 6- Ordinals Numbers and

Ordinal numbers Position words Problem Solving

I can use ordinal numbers I can use position words to name relative positions


Position I can use a diagram/model or act out routine and non-routine problems

Chapter 7-Numbers to 20

Counting to 20 Place Value Comparing numbers Making Patterns and ordering numbers Problem solving

1.NBT.1 1.NBT.2b 1.NBT.3

I can count on from 10 to 20 I can read and write 11 to 20 in numbers and words I can use a place value chart to show numbers up to 20 I can show objects up to 20 as tens and ones I can compare numbers to 20 I can order numbers by making number patterns I can look for patterns

Chapter 8- Addition and Subtraction Facts to 20

Ways to Add Ways to Subtract Real world problems: addition and subtraction facts Problem Solving

1.OA.1 1.OA.2 1.OA.4 1.OA.6 1.OA.7 1.OA.8 1.NBT.4

I can use different strategies to add - and 2-digit numbers I can subtract a 1 digit from a 2 digit number with and without regrouping I can solve real world problems I can guess and check I can solve part of the problem

Chapter 9 - Length

Comparing two things Comparing more than two things Using a start line Measuring things Finding length in units Problem solving

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I can compare two lengths using the terms tall/taller, long/longer, and short/shorter. I can compare two lengths by comparing each with a third length. I can compare more than two lengths using the terms tallest, longest, and shortest. I can use a common starting point when comparing length. I can recognize measure lengths using non-standard units. I can understand that using different non-standard units may give different measurements for the same item. I can use the term “unit” to describe length. I can count measurement units in a group of ten and ones. I can use thinking skills to compare problem solving strategies. I can use a diagram and act out a problem solving.


Chapter 10 Weight

Comparing Things Finding the Weight of Things Finding Weight in Units

I can compare the weight of more than two objects using the terms ‘heavy’, ‘heavier’, ‘heaviest’, ‘light’, ‘lighter’, and ‘lightest’. I can use a non-standard object to find the weight of things. I can compare weight using a non-standard object as a unit of measurement. I can use the term ‘unit’ when writing the weight of things. I can explain why there is a difference in a measurement when using different non-standard units. I can arrange objects according to their weights.

Chapter 11 Picture Graphs and Bar Graphs

Simple Picture Graphs More Picture Graphs Tally Charts and Bar Graphs

1.MD.4 I can collect and organize data. I can show data as a picture graph. I can draw picture graphs. I can understand the data shown in a picture graph. I can understand the data shown in picture graphs using symbols. I can make a tally chart. I can show data in a bar graph. I can understand data shown in a bar graph.

Chapter 12 Numbers to 40

Counting to 40 Place Value Comparing, Ordering and Patterns

1.OA.5 1.NBT.1 1.NBT.2a 1.NBT.2c 1.NBT.3

I can count on from 21 to 40 I can read and write 21 to 40 in numbers and words. I can use a place-value chart to show numbers up to 40. I can show objects up to 40 as tens and ones. I can use a strategy to compare numbers to 40. I can compare numbers to 40. I can find the missing numbers in a number pattern.

Chapter 13 Addition and Subtraction to 40

Addition Without Regrouping Addition with Regrouping Subtraction Without regrouping Subtraction with Regrouping

1.OA.1 1.OA.2 1.OA.3 1.OA.4 1.OA.5 1.OA.6 1.OA.7 1.OA.8 1.NBT.2a

I can add a 2-digit number and a 1-digit number without regrouping. I can add two 2-digit numbers without regrouping. I can add a 2-digit number and a 1-digit number with regrouping. I can add two 2-digit numbers without regrouping. I can subtract a 1-digit number from


1.NBT.2c 1.NBT.4

a 2-digit number without regrouping. I can subtract a 2-digit number from another 2-digit number without regrouping. I can subtract a 1-digit number from a 2-digit number with regrouping. I can subtract a 2-digit number from another 2-digit number with regrouping.

Chapter 14 Mental Math

Mental Addition Mental Subtraction

1.OA.1 1.OA.3 1.OA.6 1.OA.7 1.OA.8 1.NBT.4 1.NBT.5 1.NBT.6

I can mentally add 1-digit numbers. I can mentally add a 1-digit number to a 2-digit number. I can mentally add a 2-digit number to tens. I can mentally subtract 1-digit numbers. I can mentally subtract a 1-digit number from a 2-digit number. I can mentally subtract tens from a 2-digit number.

Chapter 15 Calendar and Time

Using a Calendar Telling Time to the Hour Telling Time to the Half Hour

1.MD.3 I can read a calendar. I can say the days of the week and months of the year. I can write the date. I can say the seasons of the year. I can use the term “o’clock” to tell time to the hour. I can read and show time to the hour on a clock. I can use the term “half past” to tell time to the half hour.

Chapter 16 Numbers to 100

Counting to 100 Place value Comparing, ordering, and patterns

1.OA.5 1.NBT.1 1.NBT.2a 1.NBT.2c 1.NBT.4 1.NBT.3

I can count from 41-100. I can read and write 41-100 in numbers and words. I can use a place value chart to show numbers up to 100. I can show objects up to 100 as tens and as one. I can a strategy to compare numbers to 100. I can order numbers to 100. I can find the missing numbers in a number pattern.

Chapter 17 Addition and Subtraction to 100

Addition without regrouping Addition with regrouping Subtraction without regrouping Subtraction with regrouping

1.OA.4 1.OA.7 1.OA.8 1.NBT.2a 1.NBT.2c

I can add a two-digit number and a one-digit number without regrouping. I can add two two-digit numbers without regrouping.


1.NBT.4 1.NBT.6

I can add a two-digit number and a one-digit number with regrouping. I can add a two two-digit numbers with regrouping. I can subtract a one-digit number from a two-digit number without regrouping. I can subtract a two-digit number from another two-digit number without regrouping. I can subtract a one-digit number from a two-digit number with regrouping. I can subtract two-digit numbers with regrouping.

Chapter 18 Multiplication and Division

Adding the same number Sharing equally Finding the numbers of groups

1.G.3 I can use objects or pictures to find the total number of items in groups of the same size. I can relate repeated addition to the concept of multiplication. I can use objects or pictures to find the number of items in each group when sharing equally. I can relate sharing equally to the concept of division. I can use objects or pictures to show the concept of division as finding the number of equal groups.

Chapter 19 Money

Penny, nickel and dime Quarter Counting money Adding and subtracting money

1.OA.7 I can recognize and name penny, nickel and dime. I can understand that ¢ stands for cents. I can skip count to find the value of a collection of coins. I can exchange one coin for a set of coins of equal value. I can use different combinations of coins less that 25¢ to buy things. I can recognize and name a quarter. I can exchange a quarter for a set of coins of equal value. I can count money and cents up to $1.00 using the “count-on” strategy. I can choose the correct value of coins when buying items. I can use different combinations of coins to show the same value.


Epping Elementary School

Plan for Mathematics Instruction

Grade Two

Unit of Study

Learning Targets Common Core State Standards

“I can” Statements

Chapter 1: Numbers to 1,000

Count and Compare numbers to 1,000

Counting

Place Value

Comparing numbers

Order and Pattern

2.NBT.1a 2.NBT.1b 2.NBT.2 2.NBT.3 2.NBT.4 2.MD.6

I can add and subtract from memory all facts up to 20.

I can identify a number as odd or even.

I can show and name the digits in a 3-digit number using hundreds, tens, and ones.

I can show and name the place value in a 3-digit number.

I can skip count up to 1000 by 5’s, 10’s, and 100’s.

I can read, write, and show numbers to 1000 in standard and expanded form.

I can compare numbers in the hundreds and tell if they are <, >, or =.

Chapter 2: Addition to 1,000

3 digit numbers can be added with and without regrouping.

Addition without regrouping

Addition with regrouping in ones

2.NBT.1a 2.NBT.3 2.NBT.5 2.NBT.6 2.NBT.7 2.NBT.9

I can solve a one-step word problem up to 100.

I can solve a two-step word problem up to 100.

I can add and subtract up to 100 using manipulatives, drawings, or paper and

I can add to find the cost of items. I can subtract to find the change. I can add and subtract money and cents up to one dollar. I can solve real world problems involving addition and subtraction of money.


Addition with regrouping in tens

Addition with regrouping in ones and tens

pencil.

I can add and subtract up to 100 and explain the strategies I used orally and/or written.

I can add up to 4 two-digit numbers using place value and addition strategies. ?????

I can use manipulatives, drawing, or paper and pencil to help add and subtract up to 1000.

Chapter 3: Subtraction up to 1,000

Subtract up to 3 digit numbers with and without regrouping

Subtracting without regrouping

Subtracting with regrouping in the tends and ones

Subtracting with regrouping in the hundreds and tens

Subtracting with regroupings in hundreds, tens and ones

Subtraction across zeros

2.NBT.1a 2.NBT.3 2.NBT.5 2.NBT.6 2.NBT.7 2.NBT.9

I can solve a one-step word problem up to 100.

I can solve a two-step word problem up to 100.

I can add and subtract up to 100 using manipulatives, drawings, or paper and pencil.


I can use manipulatives, drawing, or paper and pencil to help add and subtract up to 1000.

Chapter 4: Using Bar Models: Addition and Subtraction

Addition and subtraction can be shown with Bar Models

Using part, part whole in addition and subtraction

Adding on and taking away sets

Comparing two sets

Real world problems: two step problems

2.OA.1 2.NBT.5 2.NBT.6 2.NBT.7 2.NBT.9 2.MD.5 2.MD.6

I can add and subtract up to 100 using manipulatives, drawings, or paper and pencil.


Chapter 5: Multiplication and Division

Multiplication and Division use equal groups

How to multiply

How to divide

Real world problems: multiplication and division

I can use addition to find how many in an array up to 25.


Chapter 6: Multiplication Tables of 2, 5, and 10

Known multiplication facts can be used to find other multiplication and division facts

Multiplying 2: Skip counting

Multiplying 2: Using dot paper



Multiplying 10: Skip counting and using dot paper

Divide using related multiplication facts

2.OA.4 2.NBT.2

can use addition to find how many in an array up to 25

Chapter 7: Metric Measurement of Length

Centimeter rulers and meter sticks can be used to measure and compare how long and how tall tings are

Measuring in Meters

Comparing lengths in meters

Measuring in centimeters

Comparing lengths in centimeters

Real world problems: metric length

2.MD.1 2.MD.3 2.MD.4 2.MD.5 2.MD.6

I can use the correct tool to measure the length of an object.

I can measure an object using two different units of measurement.

I can estimate length using different units.

I can compare the length of two objects and tell how much longer or shorter each is.

I can solve measurement word problems using addition and subtraction.

I can use measurement data to make a line plot.

I can read, understand, and make comparisons and predictions using information from picture graphs, and bar graphs.

Chapter 8: Mass

A scale can be used to measure and compare masses in kilograms and grams.

Measuring in Kilograms

Comparing masses in kilograms


Measuring in grams

Comparing masses in grams

Real world problems: mass

Chapter 9: Volume

Volume is the amount of liquid in a container. Liters can be used to measure volume.

Getting to know volume

Measuring in liters

Real world problems: volume

2.NBT.5 2.NBT.7 2.MD.5 2.MD.6

Chapter 10: Mental Math and Estimation

Mental math can be used when an exact answer is needed. Estimation can be used when an exact answer is not needed.

Meaning of sum

Mental addition

Meaning of difference

Mental subtraction

Rounding numbers to estimate

2.OA.1 2.OA.2 2.NBT.5 2.NBT.6 2.NBT.7 2.NBT.8 2.NBT.9 2.MD.6

I can add and subtract by 10’s and 100’s to numbers between 100 -900 in my head and explain my thinking.

Chapter 11: Money

Money amounts can be shown and counted using bills and coins

Coins and Bills

Comparing amounts of money

Real world problems: money

2.MD.8 I can solve word problems using money.

I can write the correct value of money.

Chapter 12: Fractions

Fractions can be used to describe how equal parts are related to a whole.

Understanding fractions

Comparing fractions

Adding and subtracting like fractions

2.G.2 2.G.3

I can divide shapes into equal shares such as halves, thirds, and fourths.

I can recognize that equal shares do not need to be shaped alike.

Chapter 13: Customary Measurement

Rulers can be used to measure and compare how long and how tall things are.

2.OA.1 2.NBT.5 2.NBT.6

I can use the correct tool to measure the length of an object.


of Length Measuring in feet

Comparing lengths in feet

Measuring in inches

Comparing in inches

Real world problems: customary length

2.NBT.7 2.NBT.9 2.MD.1 2.MD.3 2.MD.4 2.MD.5 2.MD.6

I can measure an object using two different units of measurement.

I can estimate length using different units.

I can compare the length of two objects and tell how much longer or shorter each is.

I can solve measurement word problems using addition and subtraction.

I can use measurement data to make a line plot.


Chapter 14: Time

Recall Prior knowledge Time can be shown in different ways

The minute hand

Reading and writing time

Using am and pm

Elapsed time

2.MD.7 I can tell and write time to the nearest 5 minutes using an analog and digital clock.

I can tell time using a.m. and p.m.

Chapter 15: Multiplication Tables of 3 and 4

Known multiplication facts can be used to find other multiplication and division facts





Divide using related multiplication facts

can use addition to find how many in an array up to 25

Chapter 16: Using Bar Models:

Bar Models can be used to solve multiplication and Division problems.

2.MD.5 2.MD.6

I can add and subtract up to 100 using manipulatives, drawings, or paper and


Multiplication and Division

Real world problems multiplication

Real world problems division

Real world problems measurement and money

pencil.


Chapter 17 Picture Graphs

Picture graphs use pictures to show data about things you can count.

Reading picture graphs with scales

Making picture graphs

Real world problems picture graphs

2.MD.10 I can use measurement data to make a line plot.


Chapter 18 Lines and Surfaces

Properties of parts of lines, curves, and surfaces can be seen and felt.

Parts of lines and curves

Flat and curved surfaces

2.G.1 I can recognize and draw triangles, quadrilaterals, pentagons, hexagons, and cubes.

Chapter 19 Shapes and Patterns

Planes and solid shapes can be identified and classified. They can be separated and combined to make other shapes.

Plane shapes

Solid shapes

Making patterns

2.G.2

I can recognize and draw triangles, quadrilaterals, pentagons, hexagons, and cubes.


Grade 3 Unit of Study Learning Targets Common

Core State Standards

Proficiency Statements

Chapter 1 Count and Compare Numbers to 10,000

Instructional Objectives : 1. Counting 2. Place Value 3. Compare and order number

3.OA.D.9 NBT.A.1

*I can count, read and write numbers to 10,000 *I can use base-ten blocks and a place-value chart to read, write and represent numbers to 10,000 *I can read and write numbers to


10,000 in standard form, expanded form, and word form

Chapter 2 Mental Math and Estimation

Instructional Objectives : 1. Add 2-digit numbers mentally with or without regrouping 2. Subtract 2-digit numbers mentally with or without regrouping 3. Use different strategies to add 2-digit numbers close to 100 mentally 4. Round numbers to estimate sums and differences 5. Use front-end estimation to estimate sums and differences

3.OA.D 8 3.NBT: 1, 2

*I can add 2-digit numbers mentally without regrouping *I can add 2-digit numbers mentally with regrouping *I can subtract 2-digit numbers mentally without regrouping *I can subtract 2-digit numbers mentally with regrouping *I can use different strategies to add 2-digit numbers close to 100 mentally *I can round numbers to estimate sums and differences *I can find estimated sums and differences using front-end estimation

Chapter 3 Addition up to 10,000

1. Add greater numbers without regrouping 2. Add greater numbers with regrouping in hundreds 3. Add greater numbers with regrouping in ones, tens and hundreds

3.NBT.A.2

*I can add greater numbers without regrouping *I can add greater numbers with regrouping in hundreds *I can add greater numbers with regrouping in ones, tens and hundreds

Chapter 4 Subtraction up to 10,000

1.Use base –ten blocks to subtract without regrouping 2.Use base-ten blocks to subtract with regrouping 3. Use base-ten blocks to subtract across zeros 4. Write subtraction number sentences 5.Solve subtraction word problems

3.NBT.A.2 *I can use bas –ten blocks to subtract without regrouping *I can use base-ten blocks to subtract with regrouping *I can use base-ten blocks to subtract across zeros *I can write subtraction number sentences *I can solve subtraction word problems

Chapter 5 Using Bar Models: Addition and Subtraction

1.Use bar models to solve 2-step real world problems involving addition and subtraction

3.OA.D.8 3.NBT.A.2

*I can use bar models to solve 2-step real world problems involving addition and subtraction

Chapter 6 Multiplication Tables of 6,7,8

1. Use multiplication properties 2. Understand multiplication

3.OA.A.1 3.OA.A.2 3.OA.A.3

*I can use multiplication properties *I can understand multiplication


and9

by using array models 3. Practice multiplication facts of 6,7,8 and 9 4. Understand multiplication by using area models 5.Understand multiplication by using number lines and area models 6.Understand multiplication by using array models and area models 7. Divide to find the number of items in each group 8.Understand related multiplication and division facts 9.Write division sentences for real world problems 10.Divide to find the number of groups 11.Understand related multiplication and division facts 12.Express division sentences for real-world problems

3.OA.A.4 3.0A.A.5 3.OA.A.6 3.OA.A.7 3.OA.A.9 3.NBT.A.3

by using array models *I can practice multiplication facts of 6,7,8 and 9 * I can understand multiplication by using area models * I can understand multiplication by using number lines and area models * I can understand multiplication by using array models and area models *I can divide to find the number of items in each group * I can understand related multiplication and division facts * I can write division sentences for real world problems * I can divide to find the number of groups * I can understand related multiplication and division facts * I can express division sentences for real-world problems

Chapter 7 Multiplication

1.Multiply by ones, tens, and hundreds mentally 2. Multiply ones, tens, and hundreds without regrouping 3. Multiply ones, tens, and hundreds with regrouping

Chapter 7 Multiplication

1.Multiply by ones, tens, and hundreds mentally 2. Multiply ones, tens, and hundreds without regrouping 3. Multiply ones, tens, and hundreds with regrouping

Chapter 8 Division

1.Use related multiplication facts to divide 2. Use patterns to divide multiples of 10 and 100 3. Divide a 1- digit number or a 2- digit number with or without remainder 4. Use different strategies to identify odd and even numbers 5. Use base ten blocks and place value to divide 2-digit numbers without regrouping or remainders 6. Use base ten blocks and place value to divide 2-digit

Chapter 8 Division

1.Use related multiplication facts to divide 2. Use patterns to divide multiples of 10 and 100 3. Divide a 1- digit number or a 2- digit number with or without remainder 4. Use different strategies to identify odd and even numbers 5. Use base ten blocks and place value to divide 2-digit numbers without regrouping or remainders 6. Use base ten blocks and place value to divide 2-digit numbers by a 1-digit number with regrouping or without regrouping


numbers by a 1-digit number with regrouping or without regrouping

Chapter 9 Using Bar Models: Multiplication and Division

1.Use bar models to solve one-step multiplication word problems 2. Use bar models to solve two step word problems 3. Choose the correct step to solve word problems 4. Use bar models to solve two step division word problems 5. Recognize number relationship 6.Choose the correct operations to solve to-step word problems

Chapter 9 Using Bar Models: Multiplication and Division

1.Use bar models to solve one-step multiplication word problems 2. Use bar models to solve two step word problems 3. Choose the correct step to solve word problems 4. Use bar models to solve two step division word problems 5. Recognize number relationship 6.Choose the correct operations to solve to-step word problems

Chapter 10 Money

1.Add money in different ways without regrouping and with regrouping 2.Subtract money in different ways without and with regrouping 3. Solve up to two-step real world problems involving addition and subtraction of money

3.NBT.A.2

* I can add money in different ways without regrouping and with regrouping * I can subtract money in different ways without and with regrouping * I can solve up to two-step real world problems involving addition and subtraction of money

Chapter 11 Metric Length, Mass, and Volume

1.Use meters and centimeters as units of measurement of length 2.Estimate and measure length with meters, centimeters and kilometers 3. Convert units of measurement using meters, kilometers and centimeters 4. Use kilometers and meters as units of measurement of length 5. Read scales in Kilograms and grams 6.Estimate and find actual masses of objects by using different scales 7. convert units of measurement

3.MD.A.2 *I can use meters and centimeters as units of measurement of length *I can estimate and measure length *I can convert units of measurement *I can read scales in kilograms and grams *I can estimate and find masses of objects by using different scales


Chapter 12

1.Solve one-step problems 2. Solve two-step problems

3.OA.A.3 3.OA.A.4 3.0A.A.5 3.OA.A.6 3.OA.A.7 3.NBT.2 3.MD.A.2

*I can draw bar models to solve one-step measurements problems *I can choose the operation to solve one-step problems *I can draw bar models to solve two-step measurements problems *I can choose the operation to solve two-step problems

Chapter 13 Bar Graphs and Line plots

1.Make bar graphs with scales using data in picture graphs and tally charts 2. Read and interpret data from bar graphs 3. solve problems using bar graphs 4. Make a line plot to represent and interpret data

3.MD.A.3 3.MD.A.4 3.0A.A.2

*I can make bar graphs with scales using data in picture graphs and tally charts *I can read and interpret data from bar graphs * I can solve problems using bar graphs * I can make a line plot to represent and interpret data

Chapter 14 Fractions

1. Understanding fractions 2. Understanding equivalent fractions 3. Compare fractions 4. Add and subtract like fractions 5. Read fractions of a set

3.NF.A.2a 3.NF.A.2b 3.NF.A.3a 3.NF.A.3b 3.NF.A.3c 3.NF.A.3d 3.MD.A.4 3.G.A.2

*I can read and write fractions from wholes with more than four parts *I can identify numerator and denominator *I can use models to identify equivalent fractions *I can use a number line to identify equivalent fractions *I can use multiplication and division to find equivalent fractions *I can write fractions in simplest form *I can compare and order fractions *I can show fractions as points or distances on a number line *I can compare and order fractions *I can add or two or three fractions with sums to one *I can subtract like fractions from one another *I can read and write fractions of a set *I can find the numbers of an item in a fraction of a set

Chapter 15 1.Use inch, foot, yard and 3.MD.A.4 *I can use inch, foot, yard and


mile as units of measurement for lengths 2.Estimate and measure given lengths 3.Use referents to estimate lengths 4. Use ounce, pound, and ton as units of measurement for weight 5. Read scales in ounce and pound 6. Estimate and find actual weights of objects by using different scales 7. Use referents to estimate weight 8. Measure capacity with cup, pint, quart, and gallon 9. Estimate and find the actual capacity of a container 10. Relate units of capacity to one another

3.MD.A.7a 3.MD.A.7b 3.MD.A.7c

mile as units of measurement for lengths * I can estimate and measure given lengths * I can use referents to estimate lengths * I can use ounce, pound, and ton as units of measurement for weight * I can read scales in ounce and pound * I an estimate and find actual weights of objects by using different scales * I can use referents to estimate weight * I can measure capacity with cup, pint, quart, and gallon * I can estimate and find the actual capacity of a container * I can relate units of capacity to one another

Chapter 16 Telling Time and Temperature

1. Tell time 2. Convert hours and minutes 3. Add hours and minutes 4. Subtract hours and minutes 5. Find elapsed time 6. Measure temperature 7. Read time and temperature

3.MD.A.1 3.MD.A.4 3.MD.A.7a 3.MD.A.7b 3.MD.A.7c

*I can tell time to the minute *I can read time on a digital clock *I can change minutes to hours or hours to minutes *I can add time with and without regrouping *I can subtract time with and without regrouping *I can find elapsed time *I can read a Fahrenheit thermometer *I can choose the appropriate tool and unit to measure temperature *I can use a referent to estimate temperature *I can solve up to two-step word problems on time *I can solve word problems involving temperature



Grade Four

Unit of Study

Learning Targets Common Core State Standards

I Can Statements

Place Value of Whole Numbers

-Read, compare, and order numbers according to the place values of their digits

4.OA.c.5 4.NBT.a.1 4.NBT.a.2 4.NBT.b.4 MP 1-8

-I can write numbers to 100,000 in standard form, word form, and expanded form. -I can compare and order numbers up to 100,000 -I can identify how much more or less one number is than another number. -I can find the rule in a number pattern. -I can add multi-digit numbers with and without regrouping. -I can subtract multi-digit numbers with and without regrouping.

Estimation and Number Theory

-When two factors are multiplied the product is a multiple of both numbers. -Knowing factors and multiples of numbers can help in estimating products and quantities.

4.OA.a.3 4.OA.b.4 4.NBT.a.1 4.NBT.a.2 4.NBT.a.3 4.NBT.b.4 MP 1-8

-I can round numbers to estimate sums, differences, products, and quotients. -I can estimate to check that an answer is reasonable. -I can decide whether an estimate or an exact answer is needed. -I can find the common factors and greatest common factor of two whole numbers. -I can identify prime numbers and composite numbers. -I can find multiples of whole numbers. -I can find common multiples and the least common multiple of two or more numbers.

Whole Number Multiplication and Division

-Place value is used to multiply and divide multi-digit numbers. Estimation can be used to check the

4.OA.a.1 4.OA.a.2 4.OA.a.3 4.NBT.a.1

-I can multiply multi-digit numbers by a 1-digit number using an array model. -I can use different methods to


reasonableness of an answer.

4.NBT.a.2 4.NBT.a.3 4.NBT.b.4 4.NBT.b.5 4.NBT.b.6 MP 1-8

multiply to up to 4-digit numbers by 1-digit numbers with or without regrouping. -I can multiply 2 2-digit numbers using an area model. -I can multiply by 2-digit numbers with or without regrouping. -I can estimate products. -I can model regrouping in division. -I can divide a 3-digit number by a 1-digit number with regrouping. -I can divide up to a 4-digit number by a 1-digit number with regrouping and with or without remainders. -I can estimate quotients. -I can solve real world problems. -I can use a diagram or model to demonstrate my thinking. -I can solve multi-step word problems using the four operations. -I can represent the problems with a letter standing for the unknown quantity.

Tables and Line Graphs

-Graphs and tables are visual tools for showing and analyzing data

4.NF.b.3c MP 1-8

-I can collect, organize, and interpret data in a table. -I can create a table from data in a tall chart and a bar graph. -I can read and interpret data in a table using rows, columns, and intersections. -I can make, read, and interpret line graphs. -I can choose an appropriate graph to display a given data set.

Data and Probability

-Information can be analyzed to find a typical value for a data set. -Data can be analyzed to predict the likelihood of an event happening.

4.OA.a.3 4.NF.a.1 MP 1-8

-I can describe a data set using the average or mean. -I can find the mean, median, mode, and range of a set of data. -I can make and interpret line plots. -I can organize and represent data


in a stem-and-leaf plot. -I can use a stem-and-leaf plot to find median, mode, and range. -I can decide whether an outcome is certain, more likely, equally likely, less likely, or impossible. -I can determine the probability of an event. -I can express probability as a fraction. -I can solve real-world problems involving probability and measures of central tendency.

Fractions and Mixed Numbers

-Fractions and mixed numbers are used to name wholes and parts of a whole. -Fractions and mixed numbers can be added and subtracted.

4.OA.a.2 4.OA.a.3 4.NF.a.1 4.NF.a.2 4.NF.b.3a 4.NF.b.3b 4.NF.b.3c 4.NF.b.3d 4.NF.b.4a 4.NF.b.4b 4.NF.b.4c 4.MD.a.1 4.MD.a.2 4.MD.b.4 MP 1-8

-I can find equivalent fractions. -I can add and subtract unlike fractions. -I can write a mixed number for a model. -I can draw models to represent mixed numbers. -I can write an improper fraction for a model. -I can express mixed numbers as improper fractions. -I can use multiplication and division to rename improper fractions and mixed numbers. -I can compare unlike fractions using the symbols >,=, or <. -I can add fractions to get mixed number sums. -I can subtract fractions from whole numbers. -I can use a bar model to represent a fraction of a set. -I can find a fractional part of a number. -I can multiply a fraction and a whole number. -I can solve real-world problems involving fractions. -I can show measurements in a line plot with a scale of fractions of a unit.


-I can solve problems by adding and subtracting fractions from data in a line plot.

Decimals -Decimals are another way to show amounts that are parts of a whole. -A decimal has a decimal point to the right of the ones place and digits to the right of the decimal place.

4.OA.c.5 4.NBT.a.1 4.NBT.a.2 4.NF.a.1 4.NF.b.3a 4.NF.c.5 4.NF.c.6 4.NF.c.7 4.MD.a.1 MP 1-8

-I can read and write tenths in decimal and fractional forms. -I can represent and interpret tenths models. -I can read and write hundredths in decimal and fractional forms. -I can represent and interpret hundredths models. -I can compare and order decimals. -I can complete number patterns. -I can round decimals to the nearest whole number or tenth. -I can express a fraction as a decimal and a decimal as a fraction. -I can analyze parts and whole.

Adding and Subtracting Decimals

-Decimals can be added and subtracted in the same ways as whole numbers.

4.NBT.a.1 4.NBT.a.2 4.NBT.b.4 4.NF.c.5 4.OA.a.3 4.MD.a.1 4.MD.a.2 MP 1-8

-I can add and subtract decimals up to two decimal places. -I can solve real-world problems involving addition and subtraction of decimals.

Angles -Angles can be seen and measured when two rays or sides of a shape meet.

4.G.1 4.MD.c.5a 4.MD.c.5b 4.MD.c.6 4.MD.c.7 MP 1-8

-I can estimate and measure angles with a protractor. -I can estimate whether the measure of an angle is less than or greater than a right angle. -I can use a protractor acute and obtuse angles. -I can relate quarter, half, three-quarter, and full turns to the number of right angles. -I can understand that an angle that turns through 1/360 of a circle is called a “one-degree angle.” -I can find unknown angles on a


diagram using addition or subtraction. -I can solve addition and subtraction problems to find unknown angles on a diagram in real-world problems.

Perpendicular and Parallel Line Segments

-Line segments can go up and down, side to side, and in every direction.

4.G.1 4.G.2 MP 1-8

-I can draw perpendicular and parallel line segments. -I can identify horizontal and vertical lines.

Squares and Rectangles

-Squares and rectangles are four-sided figures with special properties.

4.G.2 4.MD.a.1 4.MD.a.2 4.MD.c.7 4.OA.a.3 MP 1-8

-I can understand and apply the properties of squares and rectangles. -I can find unknown angle measures and side lengths of squares and rectangles.

Area and Perimeter

-Area and perimeter of a square, rectangle, or composite figure, can be found by counting squares or using a formula.

4.MD.a.1 4.MD.a.2 4.MD.a.3 4.NBT.b.4 4.OA.a.3 MP 1-8

-I can understand the relative sizes of measurement units. -I can convert metric and customary units of length. -I can convert units of time. -I can use the four operations to solve word problems involving distance, time, volume, mass, and money. -I can represent measurement quantities using line diagrams. -I can estimate the area of a rectangle by counting grid squares. -I can find the area of rectangles using a formula. -I can solve problems involving the area and perimeter of squares and rectangles. -I can find the perimeter and area of a composite figure. -I can solve word problems involving estimating area of figures. -I can solve word problems involving area and perimeter of composite figures.



Grade Five

Symmetry -Figures can have line or rotational symmetry or both.

4.G.3 4.OA.c.5 4.NBT.b.6

-I can identify a line of symmetry of a figure. -I can relate rotational symmetry to turns. -I can trace a figure to determine whether it has rotational symmetry. -I can draw a shape or pattern about a line of symmetry and check for rotational symmetry. -I can complete a symmetric shape or pattern. -I can create symmetric patterns on grid paper.

Tessellations -A tessellation is made when a shape (or shapes) is repeated covering a plane (or surface) without gaps or overlaps to form patterns.

4.OA.c.5 -I can recognize and make tessellations. -I can identify the unit shape used in a tessellation. -I can tessellate shapes in different ways.

Unit of Study Learning Targets Common Core State

Standards

I Can Statements

Whole Numbers

Whole numbers can be written in different ways. Numbers can be compared and rounded, according to their place value.

NO.1 MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 MP.7 MP.8 NBT.A.1 NBT.A.2

I can count by ten thousands and hundred thousands to 10,000,000. I can use place-value charts to show numbers to 10,000,000. I can read and write numbers to 10,000,000 in standard form and word form. I can identify the place value of any digit in numbers to 10,000,000. I can read and write numbers to


10,000,000 in expanded form. I can compare and order numbers to 10,000,000. I can identify and complete a number pattern. I can find a rule for a number pattern. I can round numbers to the nearest thousand. I can locate numbers on a number line. I can use rounding to estimate or check sums, differences, and products. I can use related multiplication facts to estimate quotients.

Whole Number Multiplication and Division

Patterns can be used to help multiply and divide numbers. Numeric expressions can be simplified using the order operations. Multiplication and division can be used to solve real-world problems. Use a calculator to add, subtract, multiply, and divide whole numbers.

OAT.1 OAT.2 NO.1 NO.2 MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 MP.7 MP.8 OA.A.1 OA.A.2 NBT.B.5 NBT.B.6

I can multiply numbers by 10, 100, or 1000 using patterns. I can multiply numbers up to 4 digits by multiples 10, 100, or 1000. I can use rounding to estimate products. I can divide numbers by 10, 100 or 1,000. I can use rounding and related multiplication facts to estimate quotients. I can divide a 2-, 3-, or 4-digit number by a 2 digit number. I can use order of operations to simplify a numeric expression. I can use efficient strategies to solve multi-step problems involving multiplication and division.


I can express and interpret the product or quotient appropriately.

Fractions and Mixed Numbers

Add and subtract unlike fractions and mixed numbers by rewriting them with like denominators.

NO-F.1 NO-F.2 MD.2 MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 MP.7 MP.8 NF.A.1 NF.A.2 NF.A.3 NF.A.4

I can add two unlike fractions where one denominator is not a multiple of the other. I can estimate sums of fractions. I can subtract two unlike fractions where one denominator is not a multiple of another. I can estimate differences between fractions. I can understand and apply the relationships between fractions, mixed numbers, and division expressions. I can express fractions, division expressions, and mixed numbers as decimals.

Multiplying and Dividing Fractions

Whole numbers, fractions, and mixed numbers can be multiplied and divided in any combination.

NO-F.2 MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 MP.7 MP.8 NF.B.6 NF.B.7 NF.B.7a NF.B.7b NF.B.7c

I can multiply proper fractions. I can solve real-world involving multiplication of proper fractions. I can multiply improper fractions by proper or improper fractions. I can multiply a mixed number by a whole number. I can solve real-world problems involving multiplication of whole numbers and mixed numbers. I can divide a fraction by a whole number. I can solve real-world problems involving multiplication and division in fractions.


Algebra Algebraic expressions can be used to describe situations and solve real-world problems.

OAT.1 MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 MP.7 MP.8 OA.A.1 OA.A.2

I can write and solve real world problems with algebraic expressions. I can write a numerical expression to show how numbers in a situation are related. I can use variables to represent unknown numbers for addition, subtraction, multiplication, and division. I can solve and compare algebraic expressions given the value of the variable on either or both sides of the equals sign. I can simplify algebraic expressions. I can use order of operations to simplify algebraic expressions. I can use algebraic expressions to express inequalities and equations. I can write and solve a multiplication or division expressions for real world problems.

Area of a Triangle

Base and height are measurements that are used to find the area of a triangle.

NO-F.2 G.2 MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 MP.7 MP.8

I can identify the properties of a triangle. I can measure the base and height of a given triangle. I can find the area of a triangle using the area of a triangle formula.

Ratio Two numbers can be compared by subtraction. Two or more numbers or quantities can also be compared by division and the comparison expressed as a ratio.

NO-F.2 MP.1 MP.2 MP.3 MP.4 MP.5 MP.6

I can use ratios to compare two numbers or quantities by division. I can recognize that a ratio may not be the actual quantities compared. I can use a part-whole model to show a ratio.


MP.7 MP.8

I can express that equivalent ratios show the same comparisons of numbers or quantities. I can simplify ratios using the greatest common factor. I can use multiplication and division to find missing terms in equivalent ratios in real-world problems. I can use the whole to find the missing part in a ratio using bar models. I can write ratios in fraction form to find how many times larger one number is than the other. I can draw a model to represent a ratio given in fraction form. I can use ratios to compare three quantities. I can use multiplication and division to find missing terms in equivalent ratios.

Decimals Representing thousandths as 3-place decimals or as fractions. Multiplying and dividing decimals.

NBT.A NBT.A.1 NBT.A.3 NBT.A.3a NBT.A.3b NBT.A.4 NBT.B.7 MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 MP.7 MP.8

I can show thousandths on a number line, as part of a model or in a place value chart. I can find equivalent hundredths and thousandths. I can express hundredths and thousandths as fractions and decimals. I can express mixed numbers as decimals. I can write decimals in expanded form to show the value of each digit. I can compare and order decimals using place value concepts.


I can round decimals to the nearest hundredth. I can rewrite one, two or three-place decimals as fractions and mixed numbers. I can multiply and divide decimals by tens, hundreds, and thousands. I can measure lengths in decimal form and multiply the measurement by ten, hundred, and thousand. I can divide tenths and hundredths by a whole number with and without regrouping. I can find quotients to the nearest tenth and hundredth. I can estimate sums, difference, products, and quotients by rounding to the nearest whole number. I can estimate sums by rounding to the nearest tenth. I can solve one and two-step real world problems involving decimals.

Graphs and Probability

Understanding that displaying data on a graph highlights features of the data. Probability measures the likelihood of an events occurrence.

OA.B.3 G.A.1 G.A.2 MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 MP.7 MP.8

I can make a double bar graph from two sets of similar data. I can interpret and make a double bar graph. I can read and plot points on a coordinate grid. I can graph an equation. I can find the number of combinations using a list, a diagram, or the multiplication method. I can show my understanding of theoretical probability.


I can show my understanding of experimental probability.

Volume Volumes of rectangular prisms and relating these volumes to liquid measures.

MD.C.3 MD.C.3a MD.C.3b MD.C.4 MD.C.5 MD.C.5a MD.C.5b MD.C.5c MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 MP.7 MP.8

I can compare the volumes of objects. I can find the volumes of cubes, rectangular prisms, and solids in cubic units. I can compare the volumes of solids. I can identify the length, width, and height of a rectangular prism. I can identify the volume of a rectangular prism using the formula for volume. I can find the volume of a liquid. I can solve one, two, and three-step word problems involving volume.

Angles Finding unknown angle measures using several angle properties.

MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 MP.7 MP.8

I can use reasoning and a protractor to show the sum of the angle measures on a line is 180 degrees. I can find the unknown measures of angles on a line. I can use reasoning to show that the sum of the angle measures at a point in 360 degrees. I can find the unknown measures of angles at a point. I can demonstrate understanding that vertical angles have equal measures. I can find the unknown measures of vertical angles.

Percent The relationship between percent, fractions, and decimals.

MP.1 MP.2 MP.3 MP.4 MP.5

I can represent a part of a whole using percent and fractions. I can express decimals as percent and percent as fraction.


MP.6 MP.7 MP.8

I can express percent as a decimal. I can express fractions as percent. I can solve real-world problem involving percent. I can find the number represented by a percent. I can find the percent and number represented by the percent. I can solve word problems involving percent (sales tax, discount, interest).

Properties of triangles and four-sided figures

Understanding that triangles and four-sided figures have their own special properties

NF.B.4b G.B.3 G.B.4 MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 MP.7 MP.8

I can demonstrate my understanding of the properties of triangles (right, isosceles, and scalene). I can identify equilateral, isosceles, and scalene triangles. I can identify right, acute, and obtuse triangles. I can show that the sum of all angle measures in a triangle is 180 degrees. I can find the unknown angle measures in a triangle. I can show that the sum of the lengths of two sides of a triangle is greater than the length of the third side. I can find the possible lengths of a side of a triangle given the lengths of the other two sides. I can identify a parallelogram. I can explain how a rhombus is a parallelogram. I can find unknown angle measures in a rhombus.


I can identify a trapezoid. I can find the unknown angle measures of a trapezoid.

Three-dimensional shapes

Identifying and classifying solid figures by the numbers of faces, edges, and vertices.

MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 MP.7 MP.8

I can describe a solid figure by its faces, edges, and vertices. I can identify a prism and a pyramid. I can identify and form solid figures from nets. I can identify a cylinder, square, and a cone.

Documents

Epping School District – Plans for Mathematics Instruction … Pla… · · 2013-06-20Epping School District Plan for Mathematics Instruction K-5 Page 1 of 41 Epping School District