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4th Grade Common Core Math Resources

 

 jeek pcalm

 
Fourth Grade Resources
 

Units of Study

 
San Diego Unified School District (here's the District's CCSS website--lots of resources!)
 
Georgia Units: (even though the state has actually pulled out of CCSS, the resources they created are AMAZING!  Here's their math website.)
 
North Carolina Unit: (they have a great website for the Public Schools of North Carolina with lots of support resources.)
 
University of Texas Scope: (they have a great website called Mathematics Common Core Toolbox--check it out!)
 
EngageNY Fourth grade math resources.  This seems to be everyone's gold standard for CCSS materials. 
 
 
 
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Bridges in Mathematics: (the Bridges in Mathematics website)
 
This is cool:  math standards written in kid-friendly language: (From the Ontario-Montclair School District)
Fourth Grade Math Standards in Kid Friendly Language 
 
4th Grade Flipbook (FlipBooks are meant to help teachers understand what each standard means in terms of what students must know and be able to do. They provide only a sample of instructional strategies and examples.)
 
 
Math Vocabulary from Granite School District in Utah 
 
Compare the CCSS to the current state standards: (from Tulare County Office of Ed.  A great website for resources, too!)
Math Standard Comparison: 4th grade 
 
Howard County Public School System Common Core Assessments.  VERY well designed assessments for each standard.  Check them out! 
 
 
 
Videos explaining 4th grade standards from Southeast Comprehensive Center.  Really interesting!
 
"I Can Statements" for each standard from Dr. Bobb Darnell on his website called Achievement Strategies, Inc.  Check them out! 
 
 
 
VanDeWalle Black Line Masters 
 
Got any lessons, resources, websites that you want to share??  Add them to our Fourth Grade Math Dropbox!  Let's help each other out!! 
 
Want to continue the dialogue?  Check out and add yourself as a member of this website's Facebook page here!!
 

Activities and Lessons by Strand

(activities listed are from:  Illustrative MathematicsInside Mathematics,  LearnZillion, Howard County Common Core Assessments)
 

Domain:  Operations and Algebraic Thinking 4.OA

Standard A (Use the four operations with whole numbers to solve problems):
 
 
A1 (Interpret a multiplication equation as a comparison, e.g. interpret 35 = 5 x 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):
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
A2 (Multiply 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):
 
 
 
 
Performance Assessment Task:
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
A3 (Solve multistep word problems posed with whole numbers and having whole-numbers answers using the four operations, including problems in which remainders must be interpreted.  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): 
 
 
 
 
Performance Assessment Task:
The Baker 
 
Single-Digit Multiplication with Pictures and Numbers (go to page 59 of the PDF, other activities, too!)
Bowling for Equations (go to page 211 of the PDF, other activities, too!)
Using Compatible Numbers (go to page 51 of the PDF, other activities, too!)
Multiplying by 10, 100, and 1000 (go to page 59 of the PDF, other activities, too!)
 
Video from LearnZillion:  Interpret Remainders in Real World Problems 
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!! 
 
Standard B (Gain familiarity with factors and multiples):
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
 
B4 (Find 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):
 
 
Simplify and Compare (go to page 183 of the PDF, other activities, too!)
 
Performance Assessment Task:
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
Standard C (Generate and analyze patterns):
 
C5 (Generate 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 is 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers.  Explain informally why the numbers will continue to alternate in this way):
 
 
 
 
Performance Assessment Task:
Buttons 
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 

 

Domain:  Number and Operations in Base Ten   4.NBT

Standard A (Generalize place value understanding for multi-digit whole numbers):
 
A1 (Recognize 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 thatn 700 ÷ 70 = 10 by applying concepts of place value and division):
 
 
Target Five (go to page 27 of the PDF, other activities, too!)
Splat! (go to page 59 of the PDF, other activities, too!)
 
Video from LearnZillion:  Model Numbers Using Base Ten Blocks
Video from LearnZillion:  Multiply by Powers of 10
Video from LearnZillion:  Divide by Powers of 10 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
A2 (Read 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):
 
 
 
 
Charting One Million (go to page 27 of the PDF, other activities, too!)
Millions of Sport Spectators (go to page 27 of the PDF, other activities, too!)
 
Video from LearnZillion:  Read and Write Numbers in Numeric Form 
Video from LearnZillion:  Read and Write Numbers in Word Form
Video from LearnZillion:  Read and Write Numbers in Expanded Form
Video from LearnZillion:  Read and Write Numbers with Zeros
Video from LearnZillion:  Write Numbers in Expanded Form
Video from LearnZillion:  Find Place Value Using Pictures
Video from LearnZillion:  Compare Numbers Using Place Values
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
A3 (Use any place value understanding to round multi-digit whole numbers to any place):
 
 
Using Compatible Numbers (go to page 51 of the PDF, other activities, too!)
  
Video from LearnZillion:  Round 9s Using Base Ten Blocks
Video from LearnZillion:  Round in Real Live Situations
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
Standard B (Use place value understanding and properties of operations to perform multi-digit arithmetic): 
 
B4 (Fluently add and subtract multi-digit whole numbers using the standard algorithm):
 
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
B5 (Multiply 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):
 
 
More Compatible Numbers (go to page 51 of the PDF, other activities, too!)
Sketching Arrays and Partial Products (go to page 59 of the PDF, other activities, too!)
 
Performance Assessment Task:
The Baker 
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
B6 (Find 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):
 
 
Reasonable Estimates (go to page 51 of the PDF, other activities, too!)
 
Performance Assessment Task:
The Baker 
 
Video from LearnZillion:  Report Remainders as Fractions 
Video from LearnZillion:  Divide Three-Digit Dividends
Video from LearnZillion:  Divide Four-Digit Dividends
Video from LearnZillion:  Solve Division Problems Using Array
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 

 

Domain:  Number and Operations-Fractions   4.NF

Standard A (Extend understanding of fraction equivalence and ordering):
 
 
A1 (Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x 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): 
 
 
 
Fractions and Mixed Numbers (go to page 183 of the PDF, other activities, too!)
 
Performance Assessment Task:
 
Video from LearnZillion:  Make Equivalent Fractions Using an Equation 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
A2 (Compare two fractions with different numeratiors 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.  Record the results of comparisons with symbols <, =, and >, and justify the conclusions, e.g. by using a visual fraction model):
 
 
 
Simplify and Compare (go to page 183 of the PDF, other activities, too!)
 
Video from LearnZillion:  Create Common Denominators Using Number Lines
Video from LearnZillion:  Understand the Denominator 
Video from LearnZillion:  Compare Fractions tot he Benchmark of 1/2 
Video from LearnZillion:  Compare Fractions to the Benchmark of 1/4 
Video from LearnZillion:  Compare Fractions to the Benchmark of 3/4 
Video from LearnZillion:  Order Fractions Using Visual Models
Video from LearnZillion:  Compare Fractions to the Same Whole
Video from LearnZillion:  Compare Fractions Using a Number Line 
Video from LearnZillion:  Compare Fractions Using an Area Model 
Video from LearnZillion:  Compare Fractions Using a Set Model
Video from LearnZillion:  Order Fractions Using Common Denominators 
 
Standard B (Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers):
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
B3 (Understand a fraction a/b with a > 1 as a sum of fractions 1/b): 
 
 
 
Performance Assessment Task:
Leapfrog Fractions 
  
 
Video from LearnZillion:  Write Improper Fractions Dividing Shapes
Video from LearnZillion:  Decompose Fractions Using Addition
 
Howard County assessment page with beautiful assessments of this standard, plus more!!

 
  
 
B3a (Understand addition and subtraction of fractions as joining and separating parts referring to the same whole):
 
 
Simplify and Compare (go to page 183 of the PDF, other activities, too!)
Fractions Through the School Day (go to page 197 of the PDF, other activities, too!)
 
Video from LearnZillion:  Add Fractions by Joining Parts
Video from LearnZillion:  Subtract Fractions by Separating Parts
Video from LearnZillion:  Decompose Fractions
Video from LearnZillion:  Decompose Fractions Using Addition
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
B3b (Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation.  Justify decompositions, e.g. by using a visual fraction model.  Examples:  3/8 = 1/8 + 1/8 + 1/8; 3/8 = 1/8 + 2/8; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8):
 
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
B3c (Add and subtract mixed numbers with like denominators, e.g. by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction):
 
 
 
Fractions on the Trail (go to page 197 of the PDF, other activities, too!)
 
Video from LearnZillion:  Add Mixed Numbers Using a Number Line
Video from LearnZillion:  Add Unit Fractions to Make 1 Whole
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
B3d (Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g. by using visual fraction models and equations to represent the problem):
 
 
Fractions and Mixed Numbers (go to page 183 of the PDF, other activities, too!)
Adding and Subtracting Fractions (go to page 197 of the PDF, other activities, too!)
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
B4 (Apply and extend previous understandings of multiplication to multiply a fraction by a whole number):
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
B4a (Understand a fraction a/b as a multiple of 1/b.  For example, use a visual fraction model to represent 5/4 as the product 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4)):
 
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
B4b (Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.  For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5.  In general, n x (a/b) = (n x a)/b):
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
B4c (Solve word problems involving multiplication of a fraction by a whole number, e.g. by using visual fraction models and equations to represent the problem.  For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?):
 
 
 
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
Standard C (Understand decimal notation for fractions, and compare decimal fractions):
 
 
C5 (Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add tow fractions with respective denominators 10 and 100.  For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100):
 
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
C6 (Use 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):
 
 
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
 
C7 (Compare 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  <, =, and >, and justify the conclusions, e.g. by using a visual model):
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 

 

 

 

Domain:  Measurement and Data   4.MD

Standard A (Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit):
 
A1 (Know 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.  Record measurement equivalents in a two-column table.  For example, know that 1 ft is 12 times as long as 1 in.  Express the length of a 4 ft. snake as 48 in.  Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), ...):
 
The Sack of Groceries (go to page 311 of the PDF, other activities, too!)
Which Container is Best? (go to page 337 of the PDF, other activities, too!)
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
 
A2 (Use 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): 
 
Reviewing and Evaluating Multiplication Strategies (go to page 59 of the PDF, other activities, too!)
Estimate, Order & Measure: Milliliters and Liters (go to page 337 of the PDF, other activities, too!)
The Bread Dough Dilemma (go to page 311 of the PDF, other activities, too!)
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
A3 (Apply 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 of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor): 
 
 
 
Single-Digit Multiplication with Pictures and Numbers (go to page 59 of the PDF, other activities, too!)
Measuring Area (go to page 349 of the PDF, other activities, too!)
Area of Right Triangles (go to page 387 of the PDF, other activities, too!)
 
Performance Assessment Task:
Fair Play 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
Standard B (Represent and interpret data):
 
B4 (Make a line plot to display a data set of measurements n 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):
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
Standard C (Geometric measurement:  understand concepts of angle and measure angles): 
 
C5 (Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement):
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
C5a (An angle is measured with reference to a circle with its center with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle.  An angle that turns through 1/360 of a circle is called a "one-degree angle", and can be used to measure angles) 
 
Pattern Block Angles (go to page 279 of the PDF, other activities, too!)
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
c5b (An angle that turns through n one-degree angles is said to have an angle measure of n degrees):
 
Human Angles (go to page 279 of the PDF, other activities, too!)
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
C6 (Measure angles in whole-number degrees using a protractor.  Sketch angles of specified measure):
 
Pattern Block Angles (go to page 279 of the PDF, other activities, too!)
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
C7 (Recognize angle measure as additive.  When an angle is decomposed into non-overlapping parts, the angle measure of the while is the sum of the angle measures of the parts.  Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g. by using an equation with a symbol for the unknown angle measure):
 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 

Domain:  Geometry   4.G

Standard A (Draw and identify lines and angles, and classify shapes by properties of their lines and angles):
 
 
A1 (Draw points. lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines.  Identify these in two-dimensional figures):
 
Dots and Lines (go to page 249 of the PDF, other activities, too!)
Analyzing Quadrilaterals & Drawing Figures (go to page 249 of the PDF, other activities, too!)
Angles in the Classroom (go to page 279 of the PDF, other activities, too!)
Quadrilaterals and Transformations (go to page 265 of the PDF, other activities, too!)
Measuring Circles (go to page 279 of the PDF, other activities, too!)
 
 
Performance Assessment Task:
Quilt Making 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
A2 (Classify 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):
 
 
Nets and Quadrilaterals (go to page 265 of the PDF, other activities, too!)
Measuring Interior Angles of Polygons (go to page 279 of the PDF, other activities, too!)
Recatangles, Parallelograms, and Right Triangles (go to page 387 of the PDF, other activities, too!)
 
Performance Assessment Task:
Quilt Making 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
A3 (Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure as a line across the figure such that hte figure can be folded along the line into matching parts.  Identify line-symmetric figures and dew lines of symmetry): 
 
 
Performance Assessment Task:
Fair Play 
Symmetrical Patterns 
 
Howard County assessment page with beautiful assessments of this standard, plus more!!
 
 
 
 
If you find other activities, email me and I'll add them to this site!! 
 
 
 
 

Thank you to 4th Grade Loma Portal teacher, Amy Kinseth, for creating this page of Teacher Common Core Materials. Please email her with questions or comments at akinseth.lomaportal@gmail.com.