



 The following is a flow chart of skill lessons which must be taught to master the standards.






 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 onedigit numbers






 3.OA.7.B Divide within 100 using whole numbers






 3.NBT.3 Multiply onedigit whole number by multiplies of 10 using Place Value






 3.NBT.3 Multiply onedigit whole number by multiplies of 10 using Properties of Operations






 LESSONS COVERING: 3.OA.8.A & 3.OA.8.B (multistep 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 MultiStep 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 (Multistep 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 MultiStep 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






 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






 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 CrossMultiplication 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 CrossMultiplication 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 12 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 12 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 halfinch






 3.MD.4.A3 Measure to nearest quarterinch






 [3.md.68] Measure to the nearest centimeter






 [3.md.68] Reason lengths in US Standard (inch, feet, yards, miles)






 [3.md.68] 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 "nsquare 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 sidelengths to solve realworld 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 nonadjacent 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 (2d 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 NonPolygons






 Name and Draw Polygons with nsides. (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 nonright 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 (bowtie)






 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]




