PATH I. Addition - Mental Math Addition - Mental Math Subtraction - Mental Math. Subtraction - Mental Math

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1 PATH I DOMAIN STANDARD LESSON TITLE TOPIC SUBTOPIC SKILLS IN THIS LESSON Properties of Operations: Identity Count On: Add within 20 Count Back: Subtract within 20 Count On and Count Back Addition: Composing Ten Subtraction: Decompose to Make 10 Problem Solving: Identify Important Information Fun with The Commutative Property Introduction to Doubles Doubles and Doubles Plus 1 Decomposing to Make a Double Problem Solving: Use an Equation Properties Properties Identity property Count on Add within 20 Using a number line Count back Subtract within 20 Using a number line Count on and back Add and subtract within 20 Using a number line Add within 20 by composing ten Subtraction within 20 Decompose to make 10 Identifying important information in word problems Commutative Property Doubles strategy Sums up to 20 Doubles and Doubles plus 1 Decomposing and Composing Doubles Equations Word problems

2 Within 25: Addition Word Problems Within 25: Subtraction Word Problems Addition Word problems within 25 Subtraction Word problems within 25 2.OA.C.3 Introduction to Odd and Even Odd/Even Odd/Even Introduction to odd and even 2.OA.C.3 Patterns: Even, Odd, Before, After Odd/Even Odd/Even Even and odd numbers Before and after 2.OA.C.3 Pattern Doubles: Before, After Odd/Even Odd/Even Doubles facts Odd and even 2.OA.C.3 Equations: Representing Even and Odd Understanding Fact Families Number Line: Addition and Subtraction Number Lines: Adding and Subtracting : Addition within 50 : Subtraction within 50 Odd/Even Odd/Even Even numbers with an equation 2.OA.C.3 Two Digits Even/Odd Patterns Odd/Even Odd/Even Addition: Using The Commutative Property Problem Solving: 1-Step Addition within 100 Problem Solving: 1-Step Subtraction within 100 Properties Fact Families within 20 Addition and subtraction Addition and subtraction strategies Open number line Base-10 Addition and subtraction within 20 Open number line Addition within 50 Word problems Subtraction within 50 Word problems Even and odd numbers 2-Digit numbers Applying the Commutative Property of Addition Addition within 100 Word problems Subtraction within 100 Word problems

3 Addition: 3 One-Digit Addition: Using the Associative Property Estimation: Introduction to Reasonable Answers Estimation: Sums and Differences within 20 Problem Solving: Let's Get Organized! Addition within 25 Subtraction within 25 Mental : Review of Add 3 numbers Add 3 one-digit numbers within 15 Properties 2.OA.C.4 Introduction to Arrays Multiplication Multiplication 2.OA.C.3 Problem Solving: Odd and Even Addition: 3 Two-Digit Estimation: Sums and Differences within 50 Addition within 50 Subtraction within 50 Applying the Associative Property of Addition Estimation and reasonable answers Sums and differences Estimating sums and differences within 20 Organizing information to solve multi-step word problem Two-step addition word problems within 25 Two-step subtraction word problems within 25 Review of mental math strategies Introduction to arrays Rows and columns Odd/Even Odd/Even Odd and even Word problems Add 3 numbers 2.OA.C.4 Repeated Addition with Arrays Multiplication Multiplication Adding 3 two digit numbers within 50 Estimating sums and differences within 50 Two step addition word problems within 50 Two step subtraction word problems within 50 Selecting arrays that illustrate repeated addition sentences

4 2.OA.C.4 Multiplication: Arrays and Repeated Addition Multiplication Multiplication 2.OA.C.4 The Meaning of Multiplication Multiplication Multiplication Addition within 100 Subtraction within 100 Multiplication as repeated addition Arrays Identification of equal addition and multiplication sentences with pictures Two step addition word problems within 100 Two step subtraction word problems within 100

5 PATH II DOMAIN STANDARD LESSON TITLE TOPIC SUBTOPIC SKILLS IN THIS LESSON 2.NBT.A.2 Ordinal and Cardinal Counting Ordinal and cardinal numbers 2.NBT.A.2 Counting Within 500 Counting Counting forward and backward by 1s within 500 from a given number 2.NBT.A.2 Skip Count By 10 Skip Count Skip count from 0 by 10s Understanding patterns 2.NBT.A.2 Counting Within 1,000 Counting 2.NBT.A.2 Skip counting by 100 Skip Count 2.NBT.A.1a Within 1,000 2.NBT.A.1a Trading Places within 1,000 2.NBT.A.1a Mixed Units: Trading Places within 1,000 2.NBT.A.1 Digit Values Within 1,000 2.NBT.A.1b 2.NBT.A.1b Expanded Form Within 100 Expanded Form Within 1,000 2.NBT.A.1b Mixed Units: Expanded Form Counting forward and backward by 1s within 1000 from a given number Skip count by 100 (forward, beginning with 0 or multiples of 100) understanding patterns Understanding place value Equivalent place value units (10s) Representational quick pictures Understanding place value Equivalent place value units (10s & 20s) Equal Amounts Common Unit Exchanges: 100s, 10s, 1s Identify digit place value Identify digit value Two and three digit numbers Two digit numbers in expanded form 0 as a place holder (Up to 3 digit) Expanded form of three digit numbers Working with three digit numbers Zero as a place holder Review: Understanding expanded form Place value equations with unknown values in word form ( up to three digits)

6 2.NBT.A.3 Fun with and Words Identify 2.NBT.A.3 Representing Up To 50 Identify 2.NBT.A.3 Representing Up To 100 Identify Number words: Single, teen, two and three digit numbers. Representing numbers: Standard, written, expanded form, and Base-10 models up to 50 Representing numbers: Standard, written, expanded form, and Base-10 models 50 to 99 2.NBT.A.4 Comparing 2-Digit Compare Comparing value of 2 digit numbers 2.NBT.A.1 2.NBT.B.5 Decomposing Multiple Ways to 100 Regroup to Solve: Addition/Subtraction 2.NBT.B.5 Single-Digit Addition With Models 2.NBT.B.5 Two-Digit Subtraction With Models Identify Decomposing numbers in multiples ways Up to 3 digit numbers Add/Subtract Regrouping Regrouping in addition and subtraction 2.NBT.A.2 Skip Count by 5 Skip Count 2.NBT.A.2 Skip Count by 2 Skip Count 2.NBT.A.2 Skip Count by 2, 5, 10, 100 Skip Count 2.NBT.A.3 Multiple Models: Representing to 500 Identify Addition 1 digit numbers with and without regrouping Base-10 models Ten frame models Subtraction: 2 digit by 1 digit numbers with and without regrouping Base-10 models Ten frame models Skip count by 5 Patterns of 5 Forward and backward Skip count by 2 Patterns of 2 Forward and backward Skip counting by 2, 5, 10, 100 (forward and backward) from a given number Representing numbers: Standard, written, expanded notation, and Base-10 models NBT.A.4 Comparing 3-Digit Compare Comparing 3 digit numbers without symbols 2.NBT.A.4 Comparing 2 and 3 Digit Compare Comparing 2 and 3 digit numbers without symbols Word phrases Base-10 models, number words, and expand form

7 2.NBT.B.9 : Expanded Form, Partial Sums Add/Subtract Understanding addition and subtraction strategies- expanded form, partial sums and Base-10 models 2.NBT.B.5 Base-10/Expanded Form: 2-Digit Addition Addition with 2 digit numbers using Base-10 models and expanded form 2.NBT.B.5 Base-10/Expanded Form: 2-Digit Subtraction Addition with 2 digit numbers using Base-10 models and expanded form 2.NBT.B.5 Balanced +/- Within 20 Add/Subtract Balancing addition and subtraction equations within 20 Relating addition with subtraction 2.NBT.B.5 Regrouping: 2-Digit Addition 2.NBT.B.5 Regrouping: 2-Digit Subtraction Regrouping Regrouping 2.NBT.B.9 : Hundreds Chart Add/Subtract 2.NBT.B.5 2.NBT.B.9 Balancing 2-Digit Addition and Subtraction : Friendly and Compensation 2.NBT.B.6 : Two 2-Digit Addition 2.NBT.B.6 More : Three 2-Digit Addition 2.NBT.B.6 : Four 2-Digit Addition Add/Subtract Add/Subtract 2.NBT.A.2 Skip Counting: Number Patterns Skip Count Addition 2 digit numbers using Base-10 and expanded form with regrouping Subtraction 2 digit numbers using base-10 models and expanded form with regrouping Understanding addition and subtraction strategies Hundreds chart Base-10 models Balancing 2 digit addition and subtraction equations Relating addition to subtraction Understanding addition and subtraction strategies Friendly numbers and compensation Base-10 models Add 2 two digit numbers Partial sums, friendly numbers, and Base 10 Adding multiples of 10 Review: Add 3 two digit numbers Partial sums, friendly numbers, and Base 10 Adding multiples of 10 Add 4 two digit numbers Partial sums, friendly numbers, and Base 10 Adding multiples of 10 Number patterns: Skip counting forward and backward by 2, 5, 10, 100 Beginning at a number other than zero

8 2.NBT.A.4 2.NBT.A.4 Sequencing to One Hundred Sequencing to Five Hundred 2.NBT.B.8 : Adding 10 or NBT.B.8 : Subtracting 10 or 100 Sequence Sequence 2.NBT.A.1 Decompose Multiple Ways to 1000 Identify 2.NBT.A.4 Equalities and Inequalities Compare Sequencing numbers: Least to greatest, greatest to least up to 100 Sequencing numbers: Least to greatest, greatest to least 100 to 500 Add 10 or 100 to a given number up to 100 Place value chart, Hundreds chart, and Base-10 models Subtract 10 or 100 to a given number up to 1,000 Place value chart, Hundreds chart, and Base-10 models Decomposing numbers in multiples ways using up to 3 digit numbers Equalities and inequalities Symbols that makes the statement true 2.NBT.A.1 Introduction to Rounding Estimate Introduction to Rounding 2.NBT.A.1 Rounding Review Estimate Rounding Review (2, 3, 4 digit numbers) 2.NBT.B.7 Addition with 3-Digits Add 3 digit by 1 and 2 digit numbers with and without regrouping Partial sums, open number line, and Base-10 blocks 2.NBT.B.7 Subtraction with Three Digits Subtracting 3 digit by 1 and 2 digit numbers with and without regrouping Partial sums, open number line, and Base-10 blocks 2.NBT.B.7 3-Digit by 3-Digit Addition 2.NBT.B.7 3-Digit by 3-Digit Subtraction 2.NBT.A.4 Equality and Inequality Equations Compare Addition with 3 digit by 3 digit with and without regrouping Subtraction with 3 digit by 3 digit with and without regrouping Equalities and inequalities Select the symbol, number, or equation/expression that makes the statement true

9 PATH III DOMAIN STANDARD LESSON TITLE TOPIC SUBTOPIC SKILLS IN THIS LESSON Measurement with Non-standard Measurement with non-standard 2.MD.A.1 Measurement Length Units units Measuring with inches, feet, and 2.MD.A.1 Measurement with Standard Units Measurement Length yards 2.MD.A.1 Measurement with Metric Units Measurement Length Geometry 2.G.A.1 2-D Shapes Geometry Shapes Geometry 2.G.A.1 3-D Shapes Geometry Shapes 2.MD.A.1 Introduction to Weight and Volume Measuring with centimeters, meters, and kilometers Identify and sort 2-D shapes: triangle, square, circle, rectangle, hexagon, and pentagon Identify and sort 3-D shapes: cubes, cylinder, and sphere Measurement Weight Introduction to weight and volume 2.MD.C.7 Time to the Half Hour Time Time Hour/half hour 2.MD.C.7 Time to the Quarter Hour Time Time Quarter hour 2.MD.C.8 Identify and Exchange Money Money Money 2.MD.C.8 Counting and Comparing Coins Money Money 2.MD.A.2 Measurement: Inches and Feet Measurement Length 2.MD.A.2 Measurement: Centimeters and Meters Measurement Length Identifying and trading (exchange) money (include coins and $1 bill) Counting nickels, pennies, and dimes-less than $1 Measuring length of one object using 2 different units of measurement (inches and feet) Measuring length of one object using 2 different units of measurement (centimeters and meters) 2.MD.C.7 Time: Nearest 10 Minutes Time Time Nearest 10 minutes 2.MD.C.7 Time: Nearest 5 Minutes Time Time Nearest 5 minutes 2.MD.A.3 Estimate Lengths in Non-standard Units Measurement Length Estimate with non-standard units

10 2.MD.A.3 Estimate Lengths in Standard Units 2.MD.A.3 Estimate Lengths in Metric Units Measurement Length 2.MD.C.8 Counting Coins Greater Than a Dollar 2 ND GRADE Measurement Length Estimate lengths in inches and feet Money Money 2.MD.C.8 Counting Bills Money Money 2.MD.C.7 Understanding Time Time Time Estimate lengths in centimeters and meters Counting nickels, pennies, dimes, quarters-less and more than $1 Counting with bills- $1, $5, $10, $20, $50, $100 A.M./P.M. Hour/half hour/quarter hour/nearest 10/nearest 5 minutes 2.MD.A.4 Comparing Lengths: 2-3 Objects Measurement Length Comparing lengths of 2-3 objects 2.MD.A.4 Ordering Lengths: 2-5 Objects Measurement Length Ordering lengths of 2-5 objects from longest to shortest, and shortest to longest 2.MD.D.10 Tally Charts Graphing Graphing Collect data for tally charts Geometry 2.G.A.1 Shape Patterns Geometry Shapes 2.MD.A.4 Comparing Lengths Using Non- Standard Units Measurement Length Shape patterns (AB, ABB, ABC) 2- D and 3-D shapes Determining the difference in length (non-standard units) 2.MD.D.10 Understanding Picture Graphs Graphing Graphing Understanding picture graphs 2.MD.A.1 Perimeter of Shapes Measurement Perimeter 2.MD.C.8 2.MD.B.6 : Less and More than $1 Representing Whole : Customary Units Money Measurement Money Length Perimeter of shapes (basic intro-use standard and non-standard units) Addition and subtraction Word problems-counting pennies, nickels, dimes, and quarters-less and more than $1 Representing length in inches, feet, and yards on the number line Base- 10 blocks, number line, and Hundreds chart 2.MD.C.7 Elapsed Time Time Time Elapsed time (hour/half hour) 2.MD.C.7 Patterns in Time Time Time Patterns in Time 2.MD.D.10 Understanding Bar Graphs Graphing Graphing Understanding bar graphs

11 2.MD.C.8 : Money Money Money Word problems- all bills and coins 2.MD.B.5 Length: Addition Measurement Word Problems Geometry 2.G.A.3 Symmetry Geometry Partition Symmetry Geometry 2.G.A.3 Equal Shares Geometry Partition Geometry 2.G.A.1 Compose and Decompose Shapes 2.MD.B.5 Measurement Word problems Measurement Length in inches, feet, yards, centimeters, meters, and kilometers (Word problem-base-10 blocks, number line, and hundreds chart) Addition Partition shapes into two equal shares (circles and rectangles) include terms: halves, half of Geometry Shapes Compose and decompose shapes Word Problems 2.MD.C.8 Making Change Money Money 2.MD.C.7 Units of Time Time Time Geometry 2.G.A.1 Review: 2-D and 3-D Shapes Geometry Shapes Review shapes Geometry 2.G.A.3 Partition Shapes: 3 Equal Groups Geometry Partition Geometry 2.G.A.3 Partition Shapes: 4 Equal Groups Geometry Partition Length, Weight and volume Word problem-base-10 blocks, number line, and hundreds chart Addition and Subtraction Making change up to $1 up to $100 Money and fractions Units of time/ Choosing appropriate units of time Partition shapes into three equal shares (circles and rectangles) Partition shapes into four equal shares (circles and rectangles) 2.MD.D.9 Understanding Line Plots Graphing Graphing Understanding line plots 2.MD.D.10 Review: Data Analysis Graphing Graphing Review for line plots, tally, and graphing Geometry 2.G.A.2 Measure Area Geometry Area Measure area with unit squares Geometry 2.G.A.3 Problem Solving: Money and Time Geometry Partition Money and Time extension: Relating to fractions (word problems)