COMMON CORE STANDARDS
The following is a flow chart of skill lessons which must be taught to master the standards.
 
KEY:
This is a skill that directly influences mastery of a common core standard (build knowledge)
0.AA.0 This is a tested Common Core Standard
[0.AA.0] This is a skill that indirectly influences the mastery of another common core math standard
**This enrichment skill is not directly tested but accentuates a greater understanding of the topic

LESSONS COVERING: 3.OA.1 (Basic Multiplication)
3.OA.1.A Understand Multiplication as Sets of Objects
3.OA.1.B Understand Multiplication as Arrays of Objects
3.OA.1.B Understand Multiplication as an Array on a Grid
Understand Multiplication on a number line
3.OA.1.C Understand Multiplication as Partitioned Measurement Quantities (like Partitioned Lengths of yarn)
 
LESSONS COVERING: 3.OA.2 (Basic Division)
3.OA.2.A Understand Division as the number of objects in each share of a total
3.OA.2.B Understand Division as side length of an array
Understand Division as the number (or length) of jumps on a number line
3.OA.2.C Understand Division as number or length of partitioned measurement quantities (like yarn)
 
LESSONS COVERING: 3.OA.3 (Word problems and Visual Representations)
3.OA.3.A Represent a variety of Multiplication Word Problems with drawings and equations (using symbols for the unknown number)
3.OA.3.B Represent a variety of Division Word Problems with drawings and equations (using symbols for the unknown number)
 
LESSONS COVERING: 3.OA.4 (x÷ fact families) & 3.OA.6 (inverse of division)
3.OA.4 Solve for an unknown whole number in a multiplication or division equation using fact families
3.OA.6 Understand Division as a missing multiplication factor
 
LESSONS COVERING: 3.OA.5 (Properties of Multiplication and Division)
3.OA.5.A Understand the commutative Property of Addition
3.OA.5.A Understand the commutative Property of Multiplication
3.OA.5.B Understand the associative Property of Addition
3.OA.5.B Understand the associative Property of Multiplication
3.OA.5.C Understand the Identity Property of Multiplication & Addition
3.OA.5.C Understand the Zero property of Multiplication
3.OA.5.D Understand the Distributive Property of Multiplication
 
LESSONS COVERING: 3.OA.7 (x÷ Facts) & 3.NBT.3 (Multiplying Multiples of 10)
3.OA.7.A Multiply any 2 one-digit numbers
3.OA.7.B Divide within 100 using whole numbers
3.NBT.3 Multiply one-digit whole number by multiplies of 10 using Place Value
3.NBT.3 Multiply one-digit whole number by multiplies of 10 using Properties of Operations
 
LESSONS COVERING: 3.OA.8.A & 3.OA.8.B (multi-step addition/subtraction word problems)
Solve "Some, Some More" Stories
Solve "Some, Some went Away" Stories
Solve "Comparison" stories for "How many more, How many less than"
Solve "Comparison" stories for the Larger of the Quantities given the difference
Solve "Comparison" stories for the Smaller of the Quantities given the difference
3.OA.8 Use strategies to solve a Multi-Step addition or subtraction word problem
3.OA.8.A Represent an addition or subtraction problem with an equation using a letter to stand for the unknown quantity
3.OA.8.B Assess reasonableness of answers using mental computation or estimation strategies (including rounding) for addition or subtraction word problems
 
LESSON COVERING: 3.OA.8.C & 3.OA.8.D (Multi-step multiplication/division word problems)
Solve Multiplication stories for Products
Solve Multiplication stories for Factors
Solve Division stories for Quotients
Solve Division stories for Divisor
Solve Division stories for Dividend
Solve Multiplication and Division stories using the inverse operation
3.OA.8 Use Strategies to Solve a Multi-Step multiplication or division word problem
3.OA.8.A Represent a multiplication or division problem with an equation using a letter to stand for the unknown quantity
3.OA.8.B Assess reasonableness of answers using mental computation or estimation strategies (including rounding) for multiplication or division word problems
 
LESSONS COVERING: 3.OA.9 (Number Patterns and Function Tables)
3.OA.9.A Solve or Extend Addition or Subtraction Number Patterns
3.OA.9.B Solve or Extend Multiplication or Division Number Patterns
3.OA.9.C Analyze and Evaluate Number Patterns for common generalizations about numbers
3.OA.9.D Fill inputs or outputs of Function Table based on the 4 operations
 
LESSONS COVERING: 3.NBT.1 (rounding)
Understand number values visually as base 10 blocks
Identify place value & read numbers from ones to hundreds
Understand the role of zero in place value
Identify place value & Read numbers to hundred thousands
Find values of underlined digits (stairs method)
Determine the value of the 10s or 100s in any number.
3.NBT.1.A Use Place Value Understanding to Round to nearest 10
3.NBT.1.B Use Place Value Understanding to Round to nearest 100
 
LESSONS COVERING: 3.NBT.2 (Addition/Subtraction equations within 1,000)
Solve problems using basic 1 digit addition or subtraction (carrying)
Solve problems using basic 2 digit addition or subtraction (carrying)
Solve Problems with 3 digit addition (regrouping)
Solve Problems with 2 digit subtraction (regrouping)
Solve Problems with 3 digit subtracting (regrouping across whole numbers)
Solve Problems with 3 digit subtraction (regrouping across zeros)
Convert between Addition and Subtraction using Fact Families
3.NBT.2.A1 Fluently Add within 1,000 using strategies based on Place Value
3.NBT.2.B1 Fluently Add within 1,000 using strategies based on Place Value
3.NBT.2.A2 Fluently Add within 1,000 using strategies based on Properties of Operations
3.NBT.2.B2 Fluently Subtract within 1,000 using strategies based on Properties of Operations
3.NBT.2.A3 Fluently Add within 1,000 using relationship to Subtraction
3.NBT.2.B3 Fluently Subtract within 1,000 using relationship to Addition
 
LESSONS COVERING - 3.NF.1 (fractions of wholes and sets) & 3.G.2.A
FRACTIONS OF A WHOLE:
Identify and Understand Equal Parts
Understand: halves, thirds, fourths, sixths, eighths, and wholes
3.G.2.A. Partition a variety of shapes into X equal parts
Learn how to write a fraction using Numerator and Denominator
3.NF.1.A. Label equal parts using benchmark fractions
3.NF.1.B. Shade equal parts to represent fraction a/b (quantity a) of (parts size 1/b)
Write a fraction for a given shaded picture
Draw a picture to match a given fraction
Identify fractional sizes for irregularly partitioned shapes
FRACTIONS OF A SET:  
3.NF.1.a. Label equal parts of a set using benchmark fractions
3.NF.1.b. Circle parts of a set to represent fraction a/b
Write a fraction for a given partitioned set of objects

LESSONS COVERING: 3.NF.2 (Fractions on a Number Line)
3.NF.2.A1. Partition a Number Line into b equal parts
3.NF.2.A2. Represent 1/b on a Number Line
3.NF.2.A3. Label each part on a partitioned number line as having size that increase by 1/b
3.NF.2.A4. Interpreting 0 and 1 whole as 0/parts and b/b parts on a Number Line
3.NF.2.B1. Represent fraction a/b by marking lengths from 0 and placing a point on the number line
3.NF.2.B2. Represent a/b on a number line by shading or labeling the interval size using the given endpoints.
 
LESSONS COVERING: 3.NF.3.A & 3.NF.3.B (Equivalent Fractions)
3.NF.3.A1 Use pictures to show equivalent fractions have same size
Use Cross-Multiplication to identify equivalent fractions
3.NF.3.B1 Recognize and Generate Equivalent Fractions of wholes
Compose and Decompose sets of objects to show fractional equivalency.  [i.e. 2/4 groups = 1/2 groups = 4/8 groups=8/16 objects]
3.NF.3.A2 Use number line to track 2 equivalent fractions to the same point on a number line
3.NF.3.B1 Recognize and Generate Equivalent Fractions on number lines
3.NF.3.B2 Explain visually why fractions are equivalent (wholes, sets, or number lines)
 
LESSONS COVERING: 3.NF.3.C (Wholes as Fractions and Mixed Numbers)
3.NF.3.C1 Express whole numbers as xb/b fractions using pictures [example: 4 wholes = 4/1]
Express Mixed Numbers as fractions using pictures
Convert Mixed Numbers to improper fractions using benchmark fractions and pictures
3.NF.3.C2 Express xb/b fractions as whole numbers using pictures [example: 3/1=3 wholes]
Express fractions as mixed numbers using pictures
3.NF.3.C3 Locate b/b parts and 1 on number line
3.NF.3.C3 Locate xb/b parts as multiple wholes on a number line
[3.MD.4.B] Express mixed numbers as fractions on a number line
[3.NF.3.D] Name fractions in various contexts that are less than, equal to, or greater than one
 
LESSONS COVERING: 3.NF.3.D (comparing fractions)
Use pictures to compare fractions
3.NF.3.D2 Understand that Fractions must refer to the *same* whole.
3.NF.3.D1 Use Benchmark Fractions to compare fractions with the same denominator
3.NF.3.D1 Use Partition size to compare fractions with the same numerator.
Use a Number Line to compare fractions
Understand how Cross-Multiplication can be used to compare fractions (Fraction Battle)
3.NF.3.D3 Record results of fraction comparisons using >, <, or =
3.NF.3.D3 Justify fraction comparisons using a variety of visual fraction models
Order Benchmark Fractions
Order Fractions with varying numerators and denominators
**Compare Fractions that have been converted to decimals ("money method")
 
LESSONS COVERING - 3.MD.1.A. (reading/writing time)
Read clock to: hour and half hour
Read clock to: quarter hour
Read clock to: 5 minute intervals
3.MD.1.A1. Read clock to: 1 minute intervals
3.MD.1.A2. Draw time to: 1 minute intervals
 
LESSONS COVERING - 3.MD.1.B. (elapsed time)
3.MD.1.A3. Find Elapsed time with given start and end time
3.MD.1.B1. Find End time with given elapsed time
3.MD.1.B2. Find Start time with given elapsed time
 
LESSONS COVERING: 3.MD.2 (Standard Units of Measurement)
3.MD.2.A Reason Volume in Metric Measurements liters (l)
3.MD.2.A Reason Mass in Metric Measurements of grams (g) and kilograms (kg)
3.MD.2.B Use Operations to solve Word Problems involving measurements
**Reason Volume in US Standard (cup, pint, quart, gallon)
**Reason Weight in US Standard (ounce, pound, ton)
**Read Temperature in F° and C° on a thermometer in base 2 and 10
**Identify the different tools for needed for Measurement [science]
**Estimate common lengths, masses, weights, temperatures, and volumes
 
LESSONS COVERING: 3.MD.3 (graphs) & 3.MD.4.B (line plot chart)
Interpret Frequency Charts or Tally Charts
Convert Data into a Frequency Chart (through tally chart or numbers)
Create Bar Graphs with a scale of 1 to represent a data set
3.MD.3.A2 Create a scaled Bar Graph to represent a data set (scale: 2,5,10)
**Read Thermometer (scale: 2 or 10)
3.MD.3.B1 Solve 1-2 step word problem "more than, less than" using bar graph
Create a Pictograph with a scale of 1 to represent a data set
3.MD.3.A1 Create a Scaled Pictograph to represent a data set (scale: 2,4,6,8)
3.MD.3.B2 Solve 1-2 step word problem "more than, less than" using pictograph
3.MD.4.B1 Draw and record data on a line plot chart
3.MD.4.B2 Draw and record measurement on a line plot chart (horizontally scaled as wholes, halves, or quarters) [Graphing Mixed Numbers on a Line plot chart]
**Create Line Graphs with scales of 1,5,&10
 
LESSONS COVERING: 3.MD.4A (measuring length with a ruler)
3.MD.4.A1 Measure to nearest inch
3.MD.4.A2 Measure to nearest half-inch
3.MD.4.A3 Measure to nearest quarter-inch
[3.md.6-8] Measure to the nearest centimeter
[3.md.6-8] Reason lengths in US Standard (inch, feet, yards, miles)
[3.md.6-8] Reason lengths in Metric (cm, meter, kilometer)
 
LESSONS COVERING: 3.MD.5, 3.MD.6, 3.MD.7 (Measuring Area) & 3.G.2 (Partitioning shapes)
3.MD.5.A Understand that a Square with side of 1 unit is a "square unit" of area
3.MD.5.B Find the area in "n-square units" of a figure by covering tiling it with no gaps or overlays
3.MD.6 Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units) of various figures
3.MD.7.A Find the area of a rectangle by tiling it
Understand Area as an Array on a grid
3.MD.7.A Demonstrate how area of a rectangle can also be found by length x width (same as tiling)
3.MD.7.B Multiply side-lengths to solve real-world area problems as n square units
3.MD.7.C Use tiling to demonstrate area of a rectangle as distributive property
Find cumulative area by adding non-adjacent shapes
3.MD.7.D Find area of a recliner figure [by decomposing it into rectangular areas]
3.G.2.A Partition shapes into parts with equal areas
3.G.2.B Express area of partitions as unit fraction of a whole
 
LESSONS COVERING: 3.MD.8 (perimeter)
3.MD.8.A Find perimeter with given side lengths
Find perimeter with missing side lengths
3.MD.8.B Find unknown side length given perimeter
Use a ruler to determine perimeter (cm and inches)
Find the perimeter of shapes on a grid
Demonstrate how the same area can have different perimeters
3.MD.8.C Exhibit perimeters with different areas (and vice versa)
 
LESSONS COVERING - 3.G.1 (2-d shapes)
Identify Types of line segments as: Parallel, Intersecting, perpendicular (angle of 90°), or skew
Understand Acute, Obtuse, and Right Angles
Identify the lines on a polygon as being Congruent
Identify the differences between Polygons and Non-Polygons
Name and Draw Polygons with n-sides. (Triangle, Quadrilateral, Pentagon, Hexagon, Octagon, Decagon)
Understand the difference between regular and irregular polygons (including convex and concave)
Analyze and Name the 6 basic types of triangles using angles and side lengths (right, obtuse, acute, equilateral, isosceles, scalene)
3.G.1.A Classify Quadrilaterals: Parallelograms
3.G.1.B Classify Quadrilaterals: Rectangles and Squares [Discuss oblong vs. square rectangles]
3.G.1.B Classify Quadrilaterals: Rhombuses and Squares [Discuss right and non-right angles]
3.G.1.A Classify Quadrilaterals: Trapezoids (equilateral, isosceles, right angle)
3.G.1.C Study Other Quadrilateral Types: Kite, Chevron/Dart, trapezium, Concave, Complex (bow-tie)
3.G.1.A Analyze (compare and contrast) quadrilaterals by their attributes
 
LESSONS COVERING: MATH PROCESSES
[Process 1]: Making sense of Problems and Persevere in solving them. [know what you know, know what you don't know, solve for the answer]
[Process 2]: Reason abstractly and quantitatively [going from abstract number sentence to real world situation or picture]
[Process 3]: Construct viable arguments and critique reasoning of others [Why is my way correct and why is the other way right or wrong?]
[Process 4]: Model with mathematics [draw a picture, chart, table, or diagram]
[Process 5]: Use appropriate tools strategically [scale drawings by measurements, use rulers when necessary, use number line strategies, cross multiplication strategies, base 10 strategies, other methods for solving]
[Process 6]: Attend to Precision [Equations and Models should be accurate, answer should be correct, and units should be labeled.]
[Process 7]: Look for and Make use of Structure [Use patterns that exist inherently in math (like properties), generalize strategies and group accordingly.]
[Process 8]: Look for and express regularity in repeated reasoning [applying the same strategy in similar problem solving situations]