Common Core

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Kindergarten 1st Grade 2nd Grade 3rd Grade 4th Grade 5th Grade

Notes:

1.  If you are using a smart board and are not sure how this works please watch the video and or read the PDF file that we have provided for you below.  If
      you are using some other method of instruction you only need to pause the video on the computer when the student is asked to pick up a pen.

2.  We are placing links to YOUTUBE  on lessons below.  This will allow you to gain access to all videos on any device connected to the Internet.
     If you wish to create a station for that lesson you may do the following:
    
a. Printout a copy of the worksheet first that accompanies the video.  
    
b. Go to the lesson you wish to work on.  Choose the link that works with your device.
3.  All lessons are available for (iPad, iPod Touch, smart phone or any Android Device)

4.   If you discover a lesson you wish to be placed on ASAP please email me at
      my email address and tell me what grade and also what the letter number is for that lesson. 
      I will speed up that process. dan.hoffmana@yahoo.com

Instructional VIDEO
2 min long

PDF with Directions in Detail

Simple Directions
 (7) steps

 

Video on what is the common core
3-Minute Video

NEW VIDEO ON HOW TO USE YOU-TUBE

VIDEO
NEW METHOD

PDF FILE WITH DIRECTIONS
This may be used with Smart Notebook 11.4 or newer.

KINDERGARTEN

 COMMON CORE
Counting & Cardinality
Know number names and count the sequence
 

 K.CC.1 Count to 100 by ones and by tens.
Video 1 July 2013

VIDEO 6 Min 59 Sec
YOUTUBE
WORKSHEET
SMART BOARD

 K.CC.2 Count forward beginning from a given number within the known sequence
Video 1 July 2013

VIDEO 7 Min 20  sec
YOUTUBE
WORKSHEET
SMART BOARD

K.CC.3 Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects)
Video 1 July 2013

VIDEO 6 MIN  52 SEC
YOUTUBE
WORKSHEET
SMART BOARD

COMMON CORE

Counting & Cardinality

Count to tell the number of objects

 

K.CC.4 Understand the relationship between numbers quantities: connect Counting to cardinality.
Video 1 July 2013

VIDEO 5 MIN 46  SEC
YOUTUBE
WORKSHEET
SMART BOARD

K.CC.5 Count to answer “how many?” questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1–20, count out that many objects. Video 1July 2013

VIDEO 7 MIN  0 SEC
YOUTUBE
WORKSHEET
SMART BOARD
COMMON CORE
Counting & Cardinality

Compare number
K.CC.6Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. Video 1  July 2013 VIDEO 6 MIN  47 SEC
YOUTUBE
WORKSHEET
SMART BOARD
K.CC.7Compare two numbers between 1 and 10 presented as written numerals.
Video 1  July 2013
VIDEO 7 MIN 59  SEC
YOUTUBE
WORKSHEET
SMART BOARD

COMMON Core

Operations and Algebraic Thinking
Understand
addition, and understand
subtraction

 

 

 

COMMON Core

Operations and Algebraic Thinking
Understand
addition, and understand
subtraction
 

 

K.OAA1Represent addition and subtraction with objects, fingers, mental images, drawings1, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. Video 1  July 2013 VIDEO 9 MIN 50  SEC
YOUTUBE
WORKSHEET
SMART BOARD
K.OAA2Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
Video 1  August 2013
VIDEO 6 MIN 1  SEC
YOUTUBE
WORKSHEET
SMART BOARD
K.OAA2  Addition Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
WORKING WITH Arthur
Video 2 August  2013
 
VIDEO 7 MIN  3 SEC
YOUTUBE
WORKSHEET
SMART BOARD
K.OAA2 Addition  and Subtraction  Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
Video 5  September  2013
 
VIDEO 6 Min 33 Sec
YOUTUBE
WORKSHEET
SMART BOARD
K.OAA3 Addition Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
Video 3  September  2013

 

VIDEO 7  MIN 24  SEC
YOUTUBE
WORKSHEET
SMART BOARD
K.OAA4For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.
 Video 1  August 2013
 

 

VIDEO 6 MIN 5  SEC
YOUTUBE
WORKSHEET
SMART BOARD
K.OAA5Fluently add and subtract within 5.
Video 1  August 2013
VIDEO 6 MIN 26 SEC
YOUTUBE
WORKSHEET
SMART BOARD

COMMON CORE

Numbers and operations in Base Ten
Works with numbers 11-19 to gain foundations for place value

KNBTA1Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. 
Video 1  August 2013
VIDEO 7 MIN 14  SEC
YOUTUBE
WORKSHEET
SMART BOARD

COMMON CORE

Measurement and Data
Describe and compare measurable attributes

KMDA1Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object.  Video 1  August 2013 VIDEO 6  MIN 21  SEC
YOUTUBE
WORKSHEET
SMART BOARD
KMDA2Directly compare two objects with a measurable attribute in common, to see which object has “more of”/“less of” the attribute, and describe the difference.  Video 1  August 2013 VIDEO 7 MIN 43  SEC
YOUTUBE
WORKSHEET
SMART BOARD

COMMON CORE
Measurement and Data

Classify objects & count the number of object in each category

KMDA3Classify objects into given categories; count the numbers of objects in each category and sort the categories by count.1Video 1  August 2013 VIDEO 7 MIN 23  SEC
YOUTUBE
WORKSHEET
SMART BOARD

COMMON CORE
Geometry

Identify & describe shapes

KG1 Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to.
Video 1 July 2013

VIDEO 7 MIN 36 SEC
YOUTUBE
YOUTUBE
WORKSHEET
SMART BOARD
KG2 Correctly name shapes regardless of their orientations or overall size. Video 1  August 2013 VIDEO 5  MIN 11  SEC
YOUTUBE
WORKSHEET
SMART BOARD
KG3Identify shapes as two-dimensional (lying in a plane, “flat”) or three-dimensional (“solid”).
Video 1  August 2013
VIDEO  5 MIN 54  SEC
YOUTUBE
WORKSHEET
SMART BOARD

COMMON CORE
Geometry
Analyze, compare, create and compose shapes.

KG4Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/“corners”)  Video 1  August 2013 VIDEO 6  MIN 6  SEC
YOUTUBE
WORKSHEET
SMART BOARD
KG5Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. Video 1  August 2013 VIDEO 4  MIN 25  SEC
YOUTUBE
WORKSHEET
SMART BOARD
KG6Compose simple shapes to form larger shapes. For example, “Can you join these two triangles with full sides touching to make a rectangle?”
Video 1  August 2013
VIDEO 6  MIN 4  SEC
YOUTUBE
WORKSHEET
SMART BOARD

KINDERGARTEN END OF THE COMMON CORE

 

 

 

1st grade

 

Common Core
Operations and Algebraic Thinking
Represent and solve problems involving addition and subtraction

1OAA1 Use Addition and or Subtraction within 20 to solve word problemsAddition & Subtraction
Video-1
June 2013
VIDEO   7  MIN   50 SEC
YOUTUBE
WORKSHEET
SMART BOARD

1OAA1 Use Addition and or Subtraction within 20 to solve word problemsAddition & Subtraction
Video-2
September 2013

VIDEO 7   MIN  31 SEC
YOUTUBE
WORKSHEET
SMART BOARD
1OAA1  Use Addition and or Subtraction within 20 to solve word problems   Addition only  Animation for Halloween
Video-3 September 2013
VIDEO  5  MIN 58  SEC
YOUTUBE
WORKSHEET
SMART BOARD

1OAA1  Use Addition and or Subtraction within 20 to solve word problems   Addition only
Video-4 September 2013

VIDEO 5  MIN 33 SEC
YOUTUBE
WORKSHEET
SMART BOARD
1OAA2 Solves word problems with 3 or more numbers less than 20
Video 1
June 2013
VIDEO  11 MIN  34 SEC
YOUTUBE
WORKSHEET
SMART BOARD

Common Core
Operations and Algebraic Thinking
Understand and apply properties of operations and the relationship between addition and subtraction
 

 

1OAB3 Applies the commutative and associative properties of addition as strategies to add and subtract
Video 1 June 2013
VIDEO   9 MIN 25 SEC.
YOUTUBE
WORKSHEET
SMART BOARD

1OAB4  Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that makes 10 when added to 8.
Video 1
June 2013

VIDEO  10  MIN 13 SEC
YOUTUBE
WORKSHEET
SMART BOARD

Common Core
Operations and
Algebraic Thinking
Add and subtract within 20.
 

1OAC5 Relate Counting to Addition and Subtraction
Video - 1
June 2013
 

VIDEO  10 MIN 51 SEC
YOUTUBE
WORKSHEET
SMART BOARD
1OAC6  Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Video - 1
June 2013
 
VIDEO   9 MIN  52  SEC
YOUTUBE
WORKSHEET
SMART BOARD

Common Core
Operations and
Algebraic Thinking
Work with addition and subtraction equations

1OAD7  Understands meaning of equal sign in equations and determines if equations involving addition and subtraction are true or false.
Video 1
June 2013
VIDEO  9  Min
YOUTUBE
WORKSHEET
SMART BOARD

1OAD8 Determine the unknown whole number in an addition or subtraction equation relating three whole numbers.
Video - 1
June 2013

VIDEO  14  MIN 16  SEC
YOUTUBE
WORKSHEET
SMART BOARD

Common Core Number and
Operations in Base Ten

Extend the counting sequence

1.NBT.1 Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral.
VIDEO - 1
JULY 2013

 

VIDEO   6 MIN 44 SEC
YOUTUBE
WORKSHEET
SMART BOARD

Common Core Number and
Operations in Base Ten

Understand place value.

1.NBT.2Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases:
VIDEO - 1
JULY 2013

VIDEO   6 MIN 53 SEC
YOUTUBE
WORKSHEET
SMART BOARD

1.NBT.3Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.
VIDEO - 1
JULY 2013

VIDEO  6  MIN 38 SEC
YOUTUBE
WORKSHEET
SMART BOARD

Common Core Number and in Base Ten
Use place value understanding and properties of operations to add and subtract.
 

1.NBT.4 Adds within 100, including a two digit and one digit number, and adding a two-digit number and a multiple of 10
Video - 1
June 2013
 

VIDEO   6  MIN  26 SEC
YOUTUBE
WORKSHEET
SMART BOARD

1.NBT.5Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.
VIDEO - 1
JULY 2013

VIDEO 10   MIN 46 SEC
YOUTUBE
WORKSHEET
SMART BOARD

1.NBT.6Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
VIDEO - 1
JULY 2013

VIDEO  8  MIN 05 SEC
YOUTUBE
WORKSHEET
SMART BOARD

Common Core
Measurement and Data

Measure lengths indirectly and by iterating length units.
 

1.MD.1Order three objects by length; compare the lengths of two objects indirectly by using a third object.
VIDEO - 1
JULY 2013

VIDEO 8  MIN  49 SEC
YOUTUBE
WORKSHEET
SMART BOARD

1.MD.2Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same–size length units that span it with no gaps or overlaps. Limit to contexts where the object being measured is spanned by a whole number of length units with no gaps or overlaps.
VIDEO - 1
JULY 2013

VIDEO 5  MIN 47  SEC
YOUTUBE
WORKSHEET
SMART BOARD
Common Core
Measurement and Data
Tell and write time
 

1.MD.3Tell and write time in hours and half-hours using analog and digital clocks.
VIDEO - 1
JULY 2013

VIDEO  8 MIN  21 SEC
YOUTUBE
WORKSHEET
SMART BOARD
Common Core
Measurement and Data
Represent and interpret data
 

1.MD.4 Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.
VIDEO - 1
JULY 2013

VIDEO  10 MIN   SEC
YOUTUBE
WORKSHEET
SMART BOARD

Common Core
Geometry
Reason with shapes and their attributes

1.G.1Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes.
VIDEO - 1
JULY 2013

VIDEO 7  MIN  28 SEC
YOUTUBE
WORKSHEET
SMART BOARD

1.G.2Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape 
 VIDEO - 1
JULY 2013

VIDEO 5  MIN 41  SEC
YOUTUBE
WORKSHEET
SMART BOARD

1.G.3Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.
VIDEO - 1
JULY 2013
 

VIDEO 5  MIN  31 SEC
YOUTUBE
WORKSHEET
SMART BOARD
1ST GRADE END OF THE COMMON CORE LESSONS

 

2ND GRADE

COMMON CORE
Operations and Algebraic Thinking
Represent and solve problems involving addition and subtraction.

2.OA.1Use 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. July 2013 VIDEO 6  MIN 50 SEC
 YouTube
WORKSHEET
SMART BOARD
2.OA.1Use 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.
Video 2 September 2013
VIDEO 8  MIN 15  SEC
YouTube
WORKSHEET
SMART BOARD

COMMON CORE
Operations and Algebraic Thinking
Add and subtract within 20

2.OA.2Fluently add and subtract within 20 using mental strategies.2 By end of Grade 2, know from memory all sums of two one-digit numbers.
July 2013
VIDEO 6  MIN 49 SEC
YouTube
WORKSHEET
SMART BOARD

COMMON CORE
Operations and Algebraic Thinking
Work with equal groups of objects to gain foundations for multiplication.

2.OA.3Determine 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. July 2013 VIDEO 5  MIN 38 SEC
YouTube
WORKSHEET
SMART BOARD
2.OA.4Use 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. July 2013 VIDEO 8  MIN 21 SEC
YouTube
WORKSHEET
SMART BOARD

COMMON CORE
Number and Operations in Base Ten
Understand place value.

 

 

 

 

COMMON CORE
Number and Operations in Base Ten
Understand place value.

2.NBT.1Understand 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: July 2013

VIDEO   6 MIN  40SEC
YouTube
WORKSHEET
SMART BOARD

2.NBT.2Count within 1000; skip-count by 5s, 10s, and 100s.
July 2013

VIDEO 5  MIN 59 SEC
YOUTUBE
WORKSHEET
SMART BOARD
2.NBT.3Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
July 2013
VIDEO 6  MIN 8 SEC
YOUTUBE
WORKSHEET
SMART BOARD
2.NBT.4Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.
July 2013
 
VIDEO 7  MIN 10 SEC
YOUTUBE
WORKSHEET
SMART BOARD

COMMON CORE
Number and Operations in Base Ten
Use place value understanding and properties of operations to add and subtract

 

2.NBTB.5Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
July 2013
VIDEO 5  MIN 0 SEC
YOUTUBE
WORKSHEET
SMART BOARD
2.NBTB.6Add up to four two-digit numbers using strategies based on place value and properties of operations.
July 2013
VIDEO 5  MIN 48 SEC
YOUTUBE
WORKSHEET
SMART BOARD
2.NBTB.7Add 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. July 2013 VIDEO 5  MIN 23 SEC
YOUTUBE
WORKSHEET
SMART BOARD
2.NBTB.8Mentally add 10 or 100 to a given number 100–900, and mentally subtract 10 or 100 from a given number 100–900. 
July 2013
VIDEO 5  MIN 49 SEC
YOUTUBE
WORKSHEET
SMART BOARD
2.NBTB.9Explain why addition and subtraction strategies work, using place value and the properties of operations. July 2013 VIDEO 7  MIN 33 SEC
YOUTUBE
WORKSHEET
SMART BOARD

COMMON CORE
Measurement and Data

Measure and estimate lengths in standard units

 

2MD.A1Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.
July 2013
VIDEO  6 MIN 24 SEC
YOUTUBE
WORKSHEET
SMART BOARD
2MD.A2Measure 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.
July 2013
VIDEO 7  MIN 32 SEC
YOUTUBE
WORKSHEET
SMART BOARD
2MD.A3Estimate lengths using units of inches, feet, centimeters, and meters.
July 2013
VIDEO 6  MIN 3 SEC
YOUTUBE
WORKSHEET
SMART BOARD
2MD.A4Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit.
July 2013
VIDEO  5  MIN 52 SEC
YOUTUBE
WORKSHEET
SMART BOARD

COMMON CORE
Measurement and Data
Relate addition and subtraction to length.

2MD.B5Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem. July 2013 VIDEO 6  MIN 39 SEC
YOUTUBE
WORKSHEET
SMART BOARD
2MD.B6Represent 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. July 2013 VIDEO 6  MIN 2 SEC
YOUTUBE
WORKSHEET
SMART BOARD

COMMON CORE
Measurement and Data
Work with time and money.

2MD.C7ell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.
July 2013
VIDEO 7   MIN 30 SEC
YOUTUBE
WORKSHEET
SMART BOARD
2MD.C8Solve 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?
July 2013
VIDEO  6 MIN  SEC
YOUTUBE
WORKSHEET
SMART BOARD

COMMON CORE
Measurement and Data
Represent and interpret data.


 

2MD.D9Generate 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. July 2013 VIDEO 5  MIN 30 SEC
YOUTUBE
WORKSHEET
SMART BOARD
2MD.D10Draw 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 problems1 using information presented in a bar graph.
 July 2013
VIDEO 6  MIN 37 SEC
YOUTUBE
WORKSHEET
SMART BOARD

COMMON CORE
Measurement and Data
Reason with shapes and their attributes.


 

2GA1Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces.1 Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.
July 2013
VIDEO  6 MIN 19 SEC
YOUTUBE
WORKSHEET
SMART BOARD
2GA2Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.
July 2013
VIDEO 6  MIN 49 SEC
YOUTUBE
WORKSHEET
SMART BOARD
2GA3Partition 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.
July 2013
VIDEO 5  MIN 43 SEC
YOUTUBE
WORKSHEET
SMART BOARD

2nd GRADE END OF THE COMMON CORE LESSONS

 

 

3RD

 

Common Core
Operations & Algebraic Thinking

 

Represent and solve problems involving multiplication and division.

 

 

3.OA.1 Interpret products of whole numbers, e.g., interpret 5 7 as the total number of objects in 5 groups of 7 objects each.
June 2013

VIDEO   6 MIN 
YOUTUBE
WORKSHEET
SMART BOARD

3.OA.2 Interpret whole–number quotients of whole numbers, e.g., interpret 56 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 8
June 2013

VIDEO 7 MIN 22 SEC
YOUTUBE
WORKSHEET
SMART BOARD

3.OA.3Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
July  2013

VIDEO  5  MIN 52 SEC
YOUTUBE
WORKSHEET
SMART BOARD

3.OA.4Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction;
July  2013

VIDEO 7 MIN 45 SEC
YOUTUBE
WORKSHEET
SMART BOARD

Common Core
Operations & Algebraic Thinking

Understand properties of multiplication and the relationship between multiplication and division

 

3.OA.5Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.)
July  2013

VIDEO  8 MIN   SEC
YOUTUBE
WORKSHEET
SMART BOARD

3.OA.6Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.
July  2013

VIDEO  7 MIN   SEC
YOUTUBE
WORKSHEET
SMART BOARD

Common Core
Operations & Algebraic Thinking

Multiply and divide within 100.

3.OA.7 Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
July  2013

VIDEO    7  MIN   SEC
YOUTUBE
WORKSHEET
SMART BOARD

Common Core
Operations & Algebraic Thinking
Solve problems involving the four operations, and identify and explain patterns in arithmetic

3.OA.8Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding
July  2013

VIDEO 6  MIN 29 SEC
YOUTUBE
WORKSHEET
SMART BOARD

3.OA.9Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.
July  2013

VIDEO 7 MIN  SEC
YOUTUBE
WORKSHEET
SMART BOARD

 

Common Core
Number and
Operations in Base Ten

Use place value understanding and properties of operations to perform multi-digit arithmetic

3.NBT.1  Use place value understanding to round whole numbers to the nearest 10 or 100.
June 2013

VIDEO  6 MIN  
YOUTUBE
WORKSHEET
SMART BOARD

3.NBT.2Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
July 2013

VIDEO 5  MIN 55
YOUTUBE
WORKSHEET
SMART BOARD

3.NBT.3Multiply one-digit whole numbers by multiples of 10 in the range 10–90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations.
 July 2013

VIDEO 5  MIN 16
YOUTUBE
WORKSHEET
SMART BOARD

Common Core
Number and
Operations Fractions

Develop understanding of fractions as numbers

3NF1Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
 July 2013

VIDEO 5 MIN 54  SEC
YOUTUBE
WORKSHEET
SMART BOARD

3NF2Understand a fraction as a number on the number line; represent fractions on a number line diagram.
July 2013

VIDEO 7  MIN 4 SEC
YOUTUBE
WORKSHEET
SMART BOARD

3NF3              Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
July 2013

VIDEO 5 MIN 36  SEC
YOUTUBE
WORKSHEET
SMART BOARD

Common Core
Measurement and Data

Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.

 

3MD1 Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.
JULY 2013

VIDEO 6  MIN 51  SEC
YOUTUBE
WORKSHEET
SMART BOARD

3MD2Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).1 Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.
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JULY 2013

VIDEO 6  MIN 24  SEC
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Common Core
Measurement and Data

Represent and Interpret data

 

3MD3Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step “how many more” and “how many less” problems using information presented in scaled bar graphs. For example, draw a bar graph in which each square in the bar graph might represent 5 pets.
JULY 2013

VIDEO  5 MIN  54 SEC
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3MD4Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units— whole numbers, halves, or quarters.
JULY 2013

VIDEO  6 MIN  13 SEC
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Common Core
Measurement and Data
 

Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

 

3MD5  Recognize area as an attribute of plane figures and understand concepts of area measurement.
JULY 2013

VIDEO 6 MIN 13  SEC
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3MD6Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units)
JULY 2013

VIDEO 4  MIN 44  SEC
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3MD7Relate area to the operations of multiplication and addition.
JULY 2013

VIDEO 6  MIN 11  SEC
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Common Core
Measurement and Data

Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

3MD8Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
JULY 2013

VIDEO  5 MIN  35 SEC
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Common Core

Geometry

Reason with shapes and their attributes.

3G1Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
VIDEO 1
JULY 2013

VIDEO 9  MIN   SEC
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3G2Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.
VIDEO 1
JULY 2013

VIDEO 6  MIN  29 SEC
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3RD GRADE - END OF THE COMMON CORE LESSONS

 

 

4TH gRADE

Common Core
Operations and Algebraic Thinking
Use the four operations with whole numbers to solve problems

4.OA.1Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
JULY  2013
 

VIDEO  6 MIN 35  SEC
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4.OA.2Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.
August 2013 
VIDEO 5  MIN 41  SEC
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4.OA.3Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted.
August 2013 
VIDEO 5  MIN 53  SEC
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Common Core
Operations and Algebraic Thinking
Gain familiarity with factors and multiples

4.OA.4Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.
August 2013 
VIDEO 6  MIN 10  SEC
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Common Core
Operations and Algebraic Thinking
Generate and analyze patters

4.OA.5Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers.
August 2013 
VIDEO 5  MIN 09  SEC
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Common Core
Number and Operations in Base Ten

Generalize place value understanding for multi-digit whole numbers.


 

4.NBT.1Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
JULY  2013 
VIDEO 5  MIN 37  SEC
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4.NBT.2Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
JULY  2013 
VIDEO 5  MIN 12  SEC
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4.NBT.3Use place value understanding to round multi-digit whole numbers to any place.
JULY  2013 
VIDEO 5  MIN 34  SEC
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Common Core
Number and Operations in Base Ten

Use place value understanding and properties of operations to perform multi-digit arithmetic.

 

4.NBT.4Fluently add and subtract multi-digit whole numbers using the standard algorithm.
JULY  2013 
VIDEO  5 MIN 9  SEC
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4.NBT.5Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. August 2013  VIDEO 7  MIN 48  SEC
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4.NBT.6Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.  August 2013  VIDEO 4  MIN 52  SEC
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Common Core
Number and Operations Fractions

Extend understanding of fraction equivalence and ordering.

 

 

4.NF.1Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.  SEPTEMBER 2013  VIDEO 5  MIN 44  SEC
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4.NF.2Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole.  SEPTEMBER 2013  VIDEO 5  MIN 8  SEC
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Common Core
Number and Operations Fractions

Build fractions from unit fractions.

 

4.NF.3Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
SEPTEMBER 2013 
VIDEO 5  MIN 58  SEC
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4.NF.4Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
SEPTEMBER 2013 
VIDEO 5  MIN  4 SEC
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Common Core
Number and Operations Fractions

Understand decimal notation for fractions, and compare decimal fractions.

 

4.NF.5Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.2 For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
SEPTEMBER 2013
VIDEO 5  MIN 47  SEC
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4.NF.6Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.
SEPTEMBER
2013 
VIDEO 6  MIN  9 SEC
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4.NF.7Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model. SEPTEMBER 2013  VIDEO 5  MIN 40  SEC
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Common Core
Measurement and Data

Solve problems involving measurement and conversion of measurements.

 

4.MD.1Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit.  August 2013  VIDEO 5  MIN 19  SEC
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4.MD.2Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. August 2013  VIDEO  5 MIN  24 SEC
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4.MD.3Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. August 2013  VIDEO 7  MIN 13  SEC
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Common Core
Measurement and Data

Represent and interpret data.

4.MD.4Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection. August 2013  VIDEO 5  MIN 33 SEC
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Common Core
Measurement and Data
 

Geometric measurement: understand concepts of angle and measure angles.

4.MD.5Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: August 2013  VIDEO 5  MIN 9  SEC
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4.MD.6Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.  August 2013  VIDEO 5  MIN 09  SEC
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4.MD.7Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. August 2013  VIDEO 4  MIN 21  SEC
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Common Core
Geometry

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

 

4.G.1Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.   August 2013  VIDEO 5  MIN 55  SEC
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4.G.2Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.   August 2013  VIDEO 5  MIN 27  SEC
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4.G.3Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.  August 2013  VIDEO 5  MIN 20  SEC
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4 TH GRADE - END OF THE COMMON CORE LESSONS

 

5TH gRADE

Common Core
Operations and Algebraic Thinking
Write and interpret numerical expressions

 

 

5.OA.1Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
AUGUST 2013 
VIDEO 4  MIN 41  SEC
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5.OA.2Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.
JULY 2013

VIDEO 7  MIN 52  SEC
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Common Core
Operations and Algebraic Thinking
Analyze patterns and relationships.

5.OA.3Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.
JULY 2013

VIDEO 6  MIN 54  SEC
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Common Core
Number and Operations in Base Ten
Understand the place value system.

5.NBT.1Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral.  AUGUST 2013  VIDEO  MIN 4 SEC 23
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5.NBT.2Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases:  SEPTEMBER 2013 VIDEO 5 MIN 11 SEC
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5.NBT.3Read, write, and compare decimals to thousandths.
 SEPTEMBER 2013
VIDEO 5 MIN 14  SEC
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5.NBT.4Use place value understanding to round decimals to any place.  SEPTEMBER 2013 VIDEO 6 MIN 24 SEC
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Common Core
Number and Operations in Base Ten
Perform operations with multi-digit whole numbers and with decimals to hundredths.

 

5.NBT.5Fluently multiply multi-digit whole numbers using the standard algorithm.  AUGUST 2013  VIDEO 5 MIN 43 SEC
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5.NBT.6Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. PENNIES  AUGUST 2013  VIDEO 8 MIN 35 SEC
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5.NBT.7Add, subtract, multiply, and divide decimals to hundredths, 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 and explain the reasoning used.
AUGUST 2013
 
VIDEO 6 MIN 01 SEC
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Common Core
Number & Operations - Fractions
Use equivalent fractions as a strategy to add and subtract fractions.
 

5NFA1Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. AUGUST 2013  VIDEO 5 MIN 27 SEC
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5NFA2Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. AUGUST 2013  VIDEO 5 MIN 23 SEC
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Common Core
Number & Operations - Fractions

Apply and extend previous understandings of multiplication and division.

 

5NFB3Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem.  AUGUST 2013  VIDEO 7 MIN 04 SEC
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5NFB4Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
AUGUST 2013
 
VIDEO 6 MIN 19 SEC
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5NFB5Interpret multiplication as scaling, Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
AUGUST 2013 
VIDEO 6 MIN 38 SEC
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5NFB6Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
AUGUST 2013
 
VIDEO 6 MIN 5 SEC
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5NFB7
  • Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.1 AUGUST 2013 
  • VIDEO 6 MIN 16 SEC
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    Common Core Measurement & Data
    Convert like measurement units within a given measurement system.

    5MDA1Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.  August 2013 VIDEO 5 MIN 34  SEC
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    Common Core Measurement & Data
    Represent and interpret data.

    5MDB2Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. August 2013  VIDEO 5  MIN 30 SEC
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    Common Core Measurement & Data

    Geometric measurement: understand concepts of volume.

    5MDC3Recognize volume as an attribute of solid figures and understand concepts of volume measurement. August 2013  VIDEO 5 MIN 52 SEC
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    5MDC4Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. August 2013  VIDEO 5 MIN 10 SEC
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    5MDC5Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. August 2013  VIDEO 5 MIN 4 SEC
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    Common Core

    Geometry

    Graph points on the coordinate plane to solve real-world and mathematical problems.

    5GA1Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. August 2013  VIDEO 5 MIN 50 SEC
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    5GA2Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
    August 2013 
    VIDEO 5 MIN 02 SEC
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    Common Core

    Geometry

    Classify two-dimensional figures into categories based on their properties.

     

    5GB3Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.
    August 2013 
    VIDEO 4 MIN 41 SEC
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    5GB4Classify two-dimensional figures in a hierarchy based on properties.  August 2013  VIDEO 5 MIN 31 SEC
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    5TH GRADE  - END OF THE COMMON CORE LESSONS