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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

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

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

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

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

COMMON Core

Operations and Algebraic Thinking
Understand
addition, and understand
subtraction

COMMON Core

Operations and Algebraic Thinking
Understand
addition, and understand
subtraction 

COMMON CORE

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

COMMON CORE

Measurement and Data
Describe and compare measurable attributes

COMMON CORE
Measurement and Data

Classify objects & count the number of object in each category

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

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

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 problems.  Addition & Subtraction
Video-2
September 2013

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

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

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

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

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

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

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

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

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

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

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 

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

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

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

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

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

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

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

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

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  

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

COMMON CORE
Operations and Algebraic Thinking
Add and subtract within 20

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

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

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

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

COMMON CORE
Measurement and Data

Measure and estimate lengths in standard units

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

COMMON CORE
Measurement and Data
Work with time and money.

COMMON CORE
Measurement and Data
Represent and interpret data.

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

2nd GRADE END OF THE COMMON CORE LESSONS

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Common Core
Measurement and Data

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

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.
Video 1
JULY 2013

Common Core
Measurement and 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

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

Common Core
Measurement and Data
 

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

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

3MD7Relate area to the operations of multiplication and addition.
JULY 2013

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

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

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

3RD GRADE - END OF THE COMMON CORE LESSONS

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 

Common Core
Operations and Algebraic Thinking
Gain familiarity with factors and multiples

Common Core
Operations and Algebraic Thinking
Generate and analyze patters

Common Core
Number and Operations in Base Ten

Generalize place value understanding for multi-digit whole numbers.

Common Core
Number and Operations in Base Ten

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

Common Core
Number and Operations Fractions

Extend understanding of fraction equivalence and ordering.

Common Core
Number and Operations Fractions

Build fractions from unit fractions.

Common Core
Number and Operations Fractions

Understand decimal notation for fractions, and compare decimal fractions.

Common Core
Measurement and Data

Solve problems involving measurement and conversion of measurements.

Common Core
Measurement and Data

Represent and interpret data.

Common Core
Measurement and Data
 

Geometric measurement: understand concepts of angle and measure angles.

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

4 TH GRADE - END OF THE COMMON CORE LESSONS

Common Core
Operations and Algebraic Thinking
Write and interpret numerical expressions

5.OA.2Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.
JULY 2013

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

Common Core
Number and Operations in Base Ten
Understand the place value system.

Common Core
Number and Operations in Base Ten
Perform operations with multi-digit whole numbers and with decimals to hundredths.

Common Core
Number & Operations - Fractions
Use equivalent fractions as a strategy to add and subtract fractions.
 

Common Core
Number & Operations - Fractions

Apply and extend previous understandings of multiplication and division.

Common Core Measurement & Data
Convert like measurement units within a given measurement system.

Common Core Measurement & Data
Represent and interpret data.

Common Core Measurement & Data

Geometric measurement: understand concepts of volume.

Common Core

Geometry

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

Common Core

Geometry

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

5TH GRADE  - END OF THE COMMON CORE LESSONS