Math – Grade Two Unit 1 – Numbers and Routines Time...

Math – Grade Two Unit 1 – Numbers and Routines

Time Frame: 24 days Description: Review 1st grade mathematics and establish routines. Focus: Review number patterns, number sequences, number grids and number lines; review months, weeks, days and telling time; practice addition facts; give equivalent names for numbers; compare numbers using the symbols <, >, and =. Essential Questions: *What are some equivalent ways to represent numbers? *How can we make sense of numbers and number relationships? *How do we order numbers? *What are the different ways to write numbers?

Standards Topics Activities Resources Assessments 2.NBT.2 Count within 1000; skip-count by 5s, 10s, and 100s

*Number Sequence *Number Scroll *Counting With a Calculator

-Everyday Math Journal Pages -Everyday Math Home Links Number and Operations in Base Ten Learning Center *

EDM Lessons: 1.1, 1.5, 1.7, 1.10 Number and Operations in Base Ten Learning Center , Standards Solution, LLC

2.NBT.3 Read and write numbers to 1000 using base-ten numerals, number names, and expanded form

Number Sequence Number Scroll

-Everyday Math Journal Pages -Everyday Math Home Links

EDM Lessons: 1.1, 1.2, 1.7

2.MD.6 Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, …, and represent whole-number sums and differences within 100 on a number line diagram.

Writing Numbers on a Number Line


EDM Lessons: 1.1

2.MD.8 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have?

Value of Coin Combinations Counting Coins


EDM Lesson: 1.2

2.MD.7. Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.

Telling Time on Clocks -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 1.3

2.OA.2. Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers. (See standard 1.OA.6 for a list of mental strategies.)

*Addition Facts Within 20 *Subraction Facts Within 20


EDM Lesson: 1.4, 1.6, 1.7, 1.10, 1.11, 1.12

2.NBT.1. Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:

a. 100 can be thought of as a bundle of ten tens—called a “hundred.”

*Money Exchange with $100 bills * Values of Base 10


EDM Lesson: 1.5 (including 1.5 Enrichment), 1.12

2.OA.3. Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.

Odd and Even Numbers -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 1.7, 1.10 (including 1.10 Readiness)

2.NBT.8. Mentally add 10 or 100 to a given number 100–900, and mentally subtract 10 or 100 from a

*Patterns on a Number Grid *Add Hundreds, Tens, and Ones

-Everyday Math Journal Pages

EDM Lesson: 1.8, 1.9

given number 100–900.

-Everyday Math Home Links

2.NBT.7. Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.

Add Hundreds, Tens, and Ones -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 1.9

2.NBT.4. Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.

Review Relations with Symbols -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 1.11

Math – Grade Two Unit 2 – Addition and Subtraction Facts

Time Frame: 24 Days Description: Focus of this unit: make up, represent, and solve addition and subtraction number stories; review and apply alternative strategies for addition and subtraction; practice addition and subtraction facts for sums and differences up to and including 10. Essential Questions: *How do we use symbols, rules and patterns to give meaning to numbers? *How do we use choose and use the operations to solve problems? *How do I decide what strategy will work best in a given problem situation?

Standards Topics Activities Resources Assessments 2.OA.1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Table 1.)

Writing Number Stories -Everyday Math Journal Pages -Everyday Math Home Links


2.NBT.2. Count within 1000; skip-count by 5s, 10s, and 100s.

*Number Grid Puzzles *Skip Counting


EDM Lesson: 2.1

2.NBT.3. Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.

* Number Grid Puzzles -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 2.1


*Addition and Subtraction Strategies *Fact Families


EDM Lesson: 2.1, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8 Exploration B

2.OA.1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Table 1.)

Fact Families -Everyday Math Journal Pages -Everyday Math Home Links


2.OA.3. Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends

Rules For Adding Odd & Even Numbers


EDM Lesson: 2.8 Exploration B

2.NBT.5. Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

*What’s My Rule? *Tables *Fact Triangles *Subtraction Strategies


EDM Lesson: 2.10, 2.11, 2.12, 2.13

Math – Grade Two Unit Three – Place Value, Money, and Time

Time Frame: 14 Days Description: Review of numeration and place value, money, time, and data collection and analysis. Unit focus: review place value in 2-digit and 3-digit numbers; review coin values and exchanges among coins; tell time and write time in digital-clock notation; gather data by counting and analyze data. Essential Questions: *How do we extend patterns of numbers or objects? *How do we determine time? *How can we count, make change, and compare money?

Standards Topics Activities Resources Assessments 2.NBT.1. Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:


b. The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).

Numeration and Place Value


EDM Lesson: 3.4 (Exploration A)

2.NBT.4. Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.

Compare Numbers -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 3.1

2.MD.8. Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Example: If you

Word Problems with Coins -Everyday Math Journal Pages -Everyday Math Home

EDM Lesson: 3.2, 3.8, 3.9

have 2 dimes and 3 pennies, how many cents do you have?

Links

2.MD.7. Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m

Telling and Writing Time -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 3.3

2.MD.10. Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take-apart, and compare problems using information presented in a bar graph. (See Table 1.)

*Picture Graph *Bar Graph


EDM Lesson: 3.5

2.NBT.5. Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction

Frames & Arrows -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 3.6

2.MD.6. Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, …, and represent whole-number sums and differences within 100 on a number line diagram

Counting on a Number Line -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 3.6 (including Readiness)

2.MD.8. Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have?

*Word Problems Involving Money -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 3.2, 3.8, 3.9

Math – Grade Two Unit 4 – Addition and Subtraction

Time Frame: 16 Days Description: Addition and subtraction number stories are used as a vehicle for developing mental arithmetic skills. Focus of the unit: solve number stories, read and show temperatures, develop strategies for adding 2- and 3- digit numbers. Essential Questions: *How do we use symbols, rules and patterns, to give meaning to numbers? *How do we choose and use the operations to solve problems? *How and when do we use measurement? *How do we determine time? *How can we count, make change, and compare money? * How do we extend patterns of numbers or objects?


*Change Diagrams to Add & Subtract *Parts-and-Total Diagram to Add & Subtract *Word Problems Involving 2-Digit Numbers


EDM Lesson: 4.1, 4.2, 4.4, 4.6

2.MD.8. Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have?

Word Problems Involving Money -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 4.3 Exploration B

2.G.1. Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes. (Sizes are

Sorting Attribute Blocks -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 4.3 Exploration C, 4.7 Exploration F

compared directly or visually, not compared by measuring.) 2.MD.6. Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, …, and represent whole-number sums and differences within 100 on a number line diagram.

Adding & Subtracting on a Thermometer/ Number Line



2.MD.2. Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen.

Measuring Length -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 4.7 Exploration D

2.MD.3. Estimate lengths using units of inches, feet, centimeters, and meters.

Estimating and Measuring with Different Units


EDM Lesson: 4.7 Exploration D

2.G.2. Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.

Tiling -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 4.7 Exploration E


Addition Strategies -Everyday Math Journal Pages -Everyday Math Home Links


2.NBT.9. Explain why addition and subtraction strategies work, using place value and the properties of operations. (Explanations may be supported by drawings or objects.)

Modeling Addition & Subtraction Properties of 10’s



Math – Grade Two Unit 5 – 3-D and 2-D Shapes

Time Frame: 10 Days Description: Develop classification skills through hands-on activities. Focus of the unit: identify, name and classify polygons; observe similarities and differences among 3-dimensional shapes. Essential Question: * How do we identify, construct, and describe 2- and 3-dimensional shapes/figures?


Fact Triangles -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 5.2


Fact Triangles -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 5.2


Skip Count on a Number Line -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 5.3


Base 10 Model (Math Box)


EDM Lesson: 5.3

2.MD.10. Draw a picture graph and a bar graph (with single-unit scale) to represent a

Bar Graph (Math Box)


EDM Lesson: 5.3

data set with up to four categories. Solve simple put-together, take-apart, and compare problems using information presented in a bar graph. (See Table 1.)


2.G.1. Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes. (Sizes are compared directly or visually, not compared by measuring.)

*Naming Polygons *Constructing Polygons *Quadrilaterals



2.OA.4. Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.

Exploring Arrays -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 5.4


Making Arrays -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 5.4

Math – Grade Two Unit 6 – Whole Number Operations and Number Stories

Time Frame: 18 Days Description: Using number stories, children will review addition and subtraction and begin multiplication and division. Focus of this unit: introduce and practice array models; review strategies for solving addition and subtraction problems; develop procedures for multiplication/division problems. Essential Questions: *How do we use symbols, rules and patterns, to give meaning to numbers? * How do we choose and use the operations to solve problems?

Standards Topics Activities Resources Assessments 2.NBT.5. Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

*Multiple Addends *Subtraction Strategies



2.NBT.6. Add up to four two-digit numbers using strategies based on place value and properties of operations.

Multiple Addends -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 6.1

2.NBT.7. Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.

Addition & Subtraction Strategies -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 6.1, 6.2, 6.5

2.OA.1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of

*Comparison Number Stories *Addition & Subtraction Number Stories



adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Table 1.)



*Bar Graphs *Picture Graphs


EDM Lesson: 6.3, 6.6 Part 2

2.OA.4. Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.

*Number Stories about Equal Groups *Arrays


EDM Lesson: 6.7, 6.8, 6.9

2.OA.3. Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.

*Division Number Stories -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 6.10

Math – Grade Two Unit 7 – Patterns and Rules

Time Frame: 14 Days Description: Exploration of number patterns to reinforce numeration skills and develop readiness for multiplication and division. Focus of this unit: describe patterns that result from skip counting by 2s, 5s, and 10s; build mental arithmetic skills for adding 1-digit and multidigit numbers; make frequency tables, line plots, and bar graphs from real life data. Essential Questions: *How do we use symbols, rules and patterns to give meaning to numbers? *How is data collected and analyzed? *How do we choose and use the operations to solve problems?

Standards Topics Activities Resources Assessments 2.NBT.2. Count within 1000; skip-count by 5s, 10s, and 100s

Skip Counting -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 7.1

1. 2.OA.2. Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers. (See standard 1.OA.6 for a list of mental strategies.) 2.

*Add & Subtract Using Mental Strategies


EDM Lesson: 7.1, 7.2, 7.3

2.NBT.5. Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction

Addition & Subtraction Strategies -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 7.3

2.NBT.6. Add up to four two-digit numbers using strategies based on place value and properties of operations.

Addition Strategies -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 7.3

2.MD.1. Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks,

Measuring Length with Various Tools


EDM Lesson: 7.6

and measuring tapes.



Measuring in Centimeters & Inches



2.MD.4. Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit.

Measuring in Centimeters & Inches


EDM Lesson: 7.7

2.MD.9. Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of the same object. Show the measurements by making a line plot, where the horizontal scale is marked off in whole-number units

Measuring and Creating a Line Plot


EDM Lesson: 7.8


Bar Graphs -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson:7.8

Math – Grade Two Unit 8 – Fractions

Time Frame: 14 Days Description: Emphasis on fractions of regions and collections of objects, as well as relationships between fractions. The focus of the unit: review basic fractions concepts; use fractions to name parts of a whole and of a collection; find pairs of equivalent fractions; solve number stories involving fractions. Essential Questions: *How do we use symbols, rules and patterns, to give meaning to numbers? *How do we choose and use the operations to solve problems? *What are some equivalent ways to represent numbers?

Standards Topics Activities Resources Assessments 2.G.3. Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.

Fractions of a Whole and Group


EDM Lesson: 8.1, 8.2, 8.3, 8.5 (Part 1), 8.8

Math – Grade Two Unit 9 - Measurement

Time Frame: 12 Days Description: Measurement. The focus of this unit: review measuring with yards and meters; measure longer distances; develop the concepts of perimeter and area; know units of digits. Essential Questions: * How and when do we use measurement? *Why do I need standardized units of measure?

Standards Topics Activities Resources Assessments 2.MD.1. Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.

Measuring Length With Standard Units


EDM Lesson: 9.1, 9.2, 9.3


Measuring Length With Different Units



2.MD.3. Estimate lengths using units of inches, feet, centimeters, and meters.

Estimating Length With Different Units


EDM Lesson: 9.2, 9.3, 9.5

2.MD.4. Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit.

Measuring Longer Distances -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 9.5


Measuring Area With a Grid -Everyday Math Journal Pages -Everyday Math Home Links


Math – Grade Two Unit 10 – Decimals and Place Value

Time Frame: 14 Days Description: Extension of previous work with money and fractions to decimal notation for dollars-and-cents amounts. Extension of place-value concepts to 5-digit numbers. Focus of the unit: review notation and equivalencies for money amounts; provide experiences with comparing prices, estimating costs, and making change; develop and extend place-value concepts. Essential Questions: *How do we use symbols, rules and patterns, to give meaning to numbers? *What are some equivalent ways to represent numbers?

Standards Topics Activities Resources Assessments 2.MD.8. Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have?

*Word Problems Involving Money *Dollar & Cent Notation *Word Problems with Estimation *Word Problems for Making Change


EDM Lesson: 10.1, 10.2, 10.3, 10.4, 10.5, 10.6

2.NBT.1. Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:


b. The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).

Comparing Place Value with Chart


EDM Lesson: 10.8, 10.9, 10.10


Writing Place Value with Base-ten Blocks and Expanded Form


EDM Lesson: 10.8, 10.9, 10.10


Displaying Counts with Place Value Tools


EDM Lesson: 10.9, 10.10


Parentheses -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 10.11

Math – Grade Two Unit 11 – Whole-Number Operations Revisited

Time Frame: 5 Days Description: Focus of the unit: review addition and subtraction algorithms using sums of money; introduce and practice the trade-first subtraction algorithm Essential Questions: *How can we count, make change and compare money? * What methods and approaches can we use to solve problems?

Standards Topics Activities Resources Assessments 2.NBT.7. Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.

*Addition & Subtraction Word Problems Involving Money *Trade First Subtraction Algorithm


EDM Lesson: 11.2, 11.2, 11.3

2.NBT.9. Explain why addition and subtraction strategies work, using place value and the properties of operations. (Explanations may be supported by drawings or objects.)

Addition & Subtraction Word Problems Involving Money



2.MD.8. Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have

Addition & Subtraction Word Problems Involving Money


EDM Lesson: 11.1


Trade First Subtraction Algorithm


EDM Lesson: 11.3

2.MD.9. Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of the same object. Show the measurements by making a line plot, where the horizontal scale is marked off in whole-number units.

Line Plots -Everyday Math Journal Pages -Everyday Math Home Links

EDM Lesson: 11.3

Math – Grade Two Unit 12 – Year-End Reviews and Extensions

Time Frame: 3 Days Description: The focus of this unit: review time equivalencies and calendar facts; to read times in different ways and show time on a clock face. Essential Questions: Standards Topics Activities Resources Assessments 2.MD.7. Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.

*The Calendar *Clock Skills



Math – Grade Two Unit 1 – Numbers and Routines Time...

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