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Big Idea: Numerical Reasoning
2.NR.1: Using the place value structure, explore the count sequences to represent, read, write, and compare numerical values to 1000 and describe basic place-value relationships and structures.
2.NR.1.1: Explain the value of a three digit number using hundreds, tens, and ones in a variety of ways.
2.NR.1.2: Count forward and backward by ones from any number within 1000. Count forward by fives from multiples of 5 within 1000. Count forward and backward by 10s and 100s from any number within 1000. Count forward by 25s from 0.
2.NR.1.3: Represent, compare, and order whole numbers to 1000 with an emphasis on place value and equality. Use >, =, and < symbols to record the results of comparisons.
2.NR.2: Apply multiple part-whole strategies, properties of operations and place value understanding to solve real-life, mathematical problems involving addition and subtraction within 1,000.
2.NR.2.1: Fluently add and subtract within 20 using a variety of mental, part-whole strategies.
2.NR.2.2: Find 10 more or 10 less than a given three-digit number and find 100 more or 100 less than a given three-digit number.
2.NR.2.3: Solve problems involving the addition and subtraction of two-digit numbers using part-whole strategies.
2.NR.2.4: Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
2.NR.3: Work with equal groups to gain foundations for multiplication through real-life, mathematical problems.
2.NR.3.1: Determine whether a group (up to 20) has an odd or even number of objects. Write an equation to express an even number as a sum of two equal addends.
2.NR.3.2: 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.
3.NR.4: Represent fractions with denominators of 2, 3, 4, 6 and 8 in multiple ways within a framework using visual models.
3.NR.4.1: Describe a unit fraction and explain how multiple copies of a unit fraction form a non-unit fraction. Use parts of a whole, parts of a set, points on a number line, distances on a number line and area models.
3.NR.4.2: Compare two unit fractions by flexibly using a variety of tools and strategies.
Big Idea: Patterning & Algebraic Reasoning
2.PAR.4: Identify, describe, extend, and create repeating patterns, growing patterns, and shrinking patterns.
2.PAR.4.1: Identify, describe, and create a numerical pattern resulting from repeating an operation such as addition and subtraction.
2.PAR.4.2: Identify, describe, and create growing patterns and shrinking patterns involving addition and subtraction up to 20.
Big Idea: Measurement & Data Reasoning
2.MDR.5: Estimate and measure the lengths of objects and distance to solve problems found in real-life using standard units of measurement, including inches, feet, and yards.
2.MDR.5.1: Construct simple measuring instruments using unit models. Compare unit models to rulers.
2.MDR.5.2: Estimate and measure the length of an object or distance to the nearest whole unit using appropriate units and standard measuring tools.
2.MDR.5.3: Measure to determine how much longer one object is than another and express the length difference in terms of a standard-length unit.
2.MDR.5.4: Ask questions and answer them based on gathered information, observations, and appropriate graphical displays to solve problems relevant to everyday life.
2.MDR.5.5: Represent whole-number sums and differences within a standard unit of measurement on a number line diagram.
2.MDR.6: Solve real-life problems involving time and money.
2.MDR.6.1: Tell and write time from analog and digital clocks to the nearest five minutes, and estimate and measure elapsed time using a timeline, to the hour or half hour on the hour or half hour.
2.MDR.6.2: Find the value of a group of coins and determine combinations of coins that equal a given amount that is less than one hundred cents, and solve problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately.
3.MDR.5: 3.MDR.5: Solve real-life, mathematical problems involving length, liquid volume, mass, and time.
3.MDR.5.4: Use rulers to measure lengths in halves and fourths (quarters) of an inch and a whole inch.
Big Idea: Geometric & Spatial Reasoning
2.GSR.7: Draw and partition shapes and other objects with specific attributes and conduct observations of everyday items and structures to identify how shapes exist in the world.
2.GSR.7.1: Describe, compare and sort 2-D shapes including polygons, triangles, quadrilaterals, pentagons, hexagons, and 3-D shapes including rectangular prisms and cones, given a set of attributes.
2.GSR7.2: Identify at least one line of symmetry in everyday objects to describe each object as a whole.
2.GSR.7.3: Partition circles and rectangles into two, three, or four equal shares. Identify and describe equal-sized parts of the whole using fractional names (“halves,” “thirds,” “fourths”, “half of,” “third of,” “quarter of,” etc.).
2.GSR.7.4: Recognize that equal shares of identical wholes may be different shapes within the same whole.
Place Value Resource Videos
https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-place-value (Grade 2 Place Value Lesson Bank)
Skip Counting by 5s, 10s, and 100s: www.youtube.com/watch?v=4xsGvFUGjnw
•Standard Form | Picture Form | Expanded Form | Word Form – YouTube
•Expanded Form Video - 1st and 2nd Grade Math – YouTube
•https://www.youtube.com/watch?v=sFw6IpdZ8ig&t=40s Ten
•https://youtu.be/drZjIlmHdME
•Expanded form of numbers – YouTube
•https://www.youtube.com/watch?v=7VQIlOWVotI
•Comparing 2-digit numbers (pre-requisite) https://www.youtube.com/watch?v=Qn87cKHa7v4
•Real World Comparing Numbers https://www.youtube.com/watch?v=sK969J6llaU
Introduction to Addition and Subtraction Resource Videos
•Decompose Numbers to Add
https://www.youtube.com/watch?time_continue=3&v=F9Gil5tONBA&feature=emb_logo
•Decompose Doggie
https://www.youtube.com/watch?v=OuIdys71dLk
•Adding Two Digit Numbers with Base Ten Blocks
https://www.youtube.com/watch?v=4rLi7DuQz6c
Measurement and Data Resource Videos
Measuring Length:
Partitioning shapes/Fractions Resource Videos
Understand a Fraction 3.NF.1 https://web.microsoftstream.com/video/f0b7ced3-c8e6-47af-9739-4aff13156c14
2.NR.1: Using the place value structure, explore the count sequences to represent, read, write, and compare numerical values to 1000 and describe basic place-value relationships and structures.
2.NR.1.1: Explain the value of a three digit number using hundreds, tens, and ones in a variety of ways.
2.NR.1.2: Count forward and backward by ones from any number within 1000. Count forward by fives from multiples of 5 within 1000. Count forward and backward by 10s and 100s from any number within 1000. Count forward by 25s from 0.
2.NR.1.3: Represent, compare, and order whole numbers to 1000 with an emphasis on place value and equality. Use >, =, and < symbols to record the results of comparisons.
2.NR.2: Apply multiple part-whole strategies, properties of operations and place value understanding to solve real-life, mathematical problems involving addition and subtraction within 1,000.
2.NR.2.1: Fluently add and subtract within 20 using a variety of mental, part-whole strategies.
2.NR.2.2: Find 10 more or 10 less than a given three-digit number and find 100 more or 100 less than a given three-digit number.
2.NR.2.3: Solve problems involving the addition and subtraction of two-digit numbers using part-whole strategies.
2.NR.2.4: Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
2.NR.3: Work with equal groups to gain foundations for multiplication through real-life, mathematical problems.
2.NR.3.1: Determine whether a group (up to 20) has an odd or even number of objects. Write an equation to express an even number as a sum of two equal addends.
2.NR.3.2: 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.
3.NR.4: Represent fractions with denominators of 2, 3, 4, 6 and 8 in multiple ways within a framework using visual models.
3.NR.4.1: Describe a unit fraction and explain how multiple copies of a unit fraction form a non-unit fraction. Use parts of a whole, parts of a set, points on a number line, distances on a number line and area models.
3.NR.4.2: Compare two unit fractions by flexibly using a variety of tools and strategies.
Big Idea: Patterning & Algebraic Reasoning
2.PAR.4: Identify, describe, extend, and create repeating patterns, growing patterns, and shrinking patterns.
2.PAR.4.1: Identify, describe, and create a numerical pattern resulting from repeating an operation such as addition and subtraction.
2.PAR.4.2: Identify, describe, and create growing patterns and shrinking patterns involving addition and subtraction up to 20.
Big Idea: Measurement & Data Reasoning
2.MDR.5: Estimate and measure the lengths of objects and distance to solve problems found in real-life using standard units of measurement, including inches, feet, and yards.
2.MDR.5.1: Construct simple measuring instruments using unit models. Compare unit models to rulers.
2.MDR.5.2: Estimate and measure the length of an object or distance to the nearest whole unit using appropriate units and standard measuring tools.
2.MDR.5.3: Measure to determine how much longer one object is than another and express the length difference in terms of a standard-length unit.
2.MDR.5.4: Ask questions and answer them based on gathered information, observations, and appropriate graphical displays to solve problems relevant to everyday life.
2.MDR.5.5: Represent whole-number sums and differences within a standard unit of measurement on a number line diagram.
2.MDR.6: Solve real-life problems involving time and money.
2.MDR.6.1: Tell and write time from analog and digital clocks to the nearest five minutes, and estimate and measure elapsed time using a timeline, to the hour or half hour on the hour or half hour.
2.MDR.6.2: Find the value of a group of coins and determine combinations of coins that equal a given amount that is less than one hundred cents, and solve problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately.
3.MDR.5: 3.MDR.5: Solve real-life, mathematical problems involving length, liquid volume, mass, and time.
3.MDR.5.4: Use rulers to measure lengths in halves and fourths (quarters) of an inch and a whole inch.
Big Idea: Geometric & Spatial Reasoning
2.GSR.7: Draw and partition shapes and other objects with specific attributes and conduct observations of everyday items and structures to identify how shapes exist in the world.
2.GSR.7.1: Describe, compare and sort 2-D shapes including polygons, triangles, quadrilaterals, pentagons, hexagons, and 3-D shapes including rectangular prisms and cones, given a set of attributes.
2.GSR7.2: Identify at least one line of symmetry in everyday objects to describe each object as a whole.
2.GSR.7.3: Partition circles and rectangles into two, three, or four equal shares. Identify and describe equal-sized parts of the whole using fractional names (“halves,” “thirds,” “fourths”, “half of,” “third of,” “quarter of,” etc.).
2.GSR.7.4: Recognize that equal shares of identical wholes may be different shapes within the same whole.
Place Value Resource Videos
https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-place-value (Grade 2 Place Value Lesson Bank)
Skip Counting by 5s, 10s, and 100s: www.youtube.com/watch?v=4xsGvFUGjnw
•Standard Form | Picture Form | Expanded Form | Word Form – YouTube
•Expanded Form Video - 1st and 2nd Grade Math – YouTube
•https://www.youtube.com/watch?v=sFw6IpdZ8ig&t=40s Ten
•https://youtu.be/drZjIlmHdME
•Expanded form of numbers – YouTube
•https://www.youtube.com/watch?v=7VQIlOWVotI
•Comparing 2-digit numbers (pre-requisite) https://www.youtube.com/watch?v=Qn87cKHa7v4
•Real World Comparing Numbers https://www.youtube.com/watch?v=sK969J6llaU
- Comparing 2-digit numbers (pre-requisite) https://www.youtube.com/watch?v=Qn87cKHa7v4
- Learnzillion: Compare Numbers Using a Number Line https://www.youtube.com/watch?v=pf9sULR4EfY
- LearnZillion: Compare Numbers Using Base 10 https://www.youtube.com/watch?v=lhrCmOcJehY
- Real World Comparing Numbers https://www.youtube.com/watch?v=sK969J6llaU
Introduction to Addition and Subtraction Resource Videos
•Decompose Numbers to Add
https://www.youtube.com/watch?time_continue=3&v=F9Gil5tONBA&feature=emb_logo
•Decompose Doggie
https://www.youtube.com/watch?v=OuIdys71dLk
•Adding Two Digit Numbers with Base Ten Blocks
https://www.youtube.com/watch?v=4rLi7DuQz6c
- Adding Two Two-Digit Numbers Using Base 10 Blocks
https://www.youtube.com/watch?v=K5rmfHlHy20
https://www.youtube.com/watch?v=4rLi7DuQz6c - LearnZillion: Add and Subtract on a Number Line
https://www.youtube.com/watch?v=t8gQD-Bk6So
LearnZillion: Add on an open Number Line
https://www.youtube.com/watch?v=CYp8U-AYg8k - •LearnZillion: Subtract two 2-digit numbers by using addition
https://www.youtube.com/watch?v=oF5Pxtzi_VY
•LearnZillion: Subtract Using a Hundred Chart
https://www.youtube.com/watch?v=CZcri4VsUco
•LearnZillion: Subtract Using a Number Line
https://www.youtube.com/watch?v=1-Y0_1y4l_Y
•FCS Subtraction Word Problems (must log into student account to access this)
https://web.microsoftstream.com/video/c51cea49-17ff-4c44-bfce-a148b650a3c5
- www.khanacademy.org/math/cc-2nd-grade-math/x3184e0ec:money-and-time/cc-2nd-money/v/counting-dollars
- https://www.khanacademy.org/math/cc-2nd-grade-math/x3184e0ec:money-and-time/cc-2nd-money/v/counting-american-coins
Measurement and Data Resource Videos
Measuring Length:
- Compare a measurement- inches to centimeters- www.youtube.com/watch?v=CSWPyCaIMsQ
- Measuring lengths in different units- www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-measurement-data/cc-2nd-measuring-length/v/measuring-lengths-in-different-units
- Using a broken ruler- www.youtube.com/watch?v=A6owsT9NBpQ
- Line Plot song- www.youtube.com/watch?v=VS1fLbeuRkU&t=100s
- Creating a line plot- www.youtube.com/watch?v=xa2ICYALJ9Y
- Bar graph and picture graph song- www.youtube.com/watch?v=yZJR2MzkBrU
- Picture graphs and bar graphs- www.youtube.com/watch?v=_H0M0XzjmIA
- FCS What Time Is It?- https://web.microsoftstream.com/video/2edadbc7-0338-4d2b-b7de-051f329570ff
- Numberock: Telling Time Song- https://www.youtube.com/watch?v=h6RNkQ7lU8Y
- LearnZillion Tell Time to the Nearest 5 minutes- https://www.youtube.com/watch?v=bimOKxIhbkQ
- Counting by 10's www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-place-value/cc-2nd-skip-counting/v/counting-by-tens-examples
Partitioning shapes/Fractions Resource Videos
Understand a Fraction 3.NF.1 https://web.microsoftstream.com/video/f0b7ced3-c8e6-47af-9739-4aff13156c14
- Halves, Thirds, and Fourths, Oh My!
- Name that Fraction
- Equal Parts
- Partitioning Shapes
- LearnZillion Partition Shapes
- LearnZillion Partition a Shapes Into Equal Shares
- Ten Marks Partitioning Shapes and Writing Fractions