Math

**__ [|Games for Math Concepts] __**    **__ Fourth Grade Lessons: ____ Fractions for Common Core: __**  4th and 5th Grade: **Math Stars:** The purpose of **Math Stars ** is to challenge students beyond the classroom setting. Good problems can inspire curiosity about number relationships and geometric properties. [|Grade 4]  (516K)
 * Operations and Algebraic Thinking
 * Number and Operations in Base Ten
 * Number and Operations - Fractions
 * Measurement & Data
 * <span style="background-color: #ffffff; color: #591479; font-family: inherit; font-size: 10px; text-decoration: none;">Geometry

<span style="background-color: #ffffff; font-family: Tahoma,Verdana,Arial,Helvetica;">The basic purpose of **<span style="background-color: #ffffff; font-family: Tahoma,Verdana,Arial,Helvetica;">Superstars III **<span style="background-color: #ffffff; font-family: Tahoma,Verdana,Arial,Helvetica;">is to provide the extra challenge that self-motivated students need in mathematics, and to do so in a structured, long-term program that does not impinge on the normal classroom routine or the time of the teacher.
 * <span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 17px;">Superstars III: **

<span style="background-color: #ffffff; font-family: Tahoma,Verdana,Arial,Helvetica;">Download Superstars III below.

<span style="background-color: #ffffff; color: #540d43; font-family: verdana,sans-serif;">[|Superstars-III-3-5.pdf]

<span style="background-color: #ffffff; color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 22px;">Problem Solving Deck:
<span style="background-color: #ffffff; font-family: Tahoma,Verdana,Arial,Helvetica;">Deck B: Grades 3 & 4

<span style="background-color: #ffffff; color: #540d43; font-family: verdana,sans-serif;">[|Deck B Cover and Introduction]

<span style="background-color: #ffffff; color: #540d43; font-family: verdana,sans-serif;">[|Deck B Cards:] <span style="background-color: #ffffff; font-family: Tahoma,Verdana,Arial,Helvetica;"> Two problems per page.

<span style="background-color: #ffffff; font-family: Tahoma,Verdana,Arial,Helvetica;">One problem per page with space for students to explain and show their work.

<span style="background-color: #ffffff; color: #540d43; font-family: verdana,sans-serif;">[|Deck B Sheets]

__<span style="background-color: #ffffff; color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 17px; line-height: 25px;">**Review for EOG for 2012-** __ __<span style="background-color: #ffffff; color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 17px; line-height: 25px;">**[|KidsNumbers Multiplication Table:]** __ <span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 17px; line-height: 25px;">**__[|KidsNumbers Long Division]__** <span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 17px; line-height: 25px;">**__[|KidsNumbers Fractions]__** __<span style="background-color: #ffffff; color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 17px; line-height: 25px;">**[|K-5 Math Resources]** __


 * 4.NO Number and Operations ||
 * * **4.1 The learner will read, write, model, and compute with non-negative rational numbers.**
 * **4.1.01 Develop number sense for rational numbers 0.01 through 99,999.**
 * [|Decimals: What decimal number is illustrated? (Third grade - T.1)]
 * [|Decimals: Understanding decimals expressed in words (Third grade - T.3)]
 * **4.1.01.a Connect model, number word, and number using a variety of representations.**
 * [|Number sense: Place values (Fourth grade - A.1)]
 * [|Number sense: Word names for numbers (Fourth grade - A.3)]
 * [|Decimals: What decimal number is illustrated? (Fourth grade - T.1)]
 * [|Decimals: Understanding decimals expressed in words (Fourth grade - T.2)]
 * **4.1.01.b Build understanding of place value (hundredths through ten thousands).**
 * [|Number sense: Convert between place values (Fourth grade - A.2)]
 * [|Decimals: Place values in decimal numbers (Fourth grade - T.3)]
 * **4.1.01.c Compare and order rational numbers.**
 * [|Decimals: Inequalities with decimals (Third grade - T.5)]
 * [|Decimals: Put decimal numbers in order (Third grade - T.6)]
 * [|Number sense: Compare numbers up to billions (Fourth grade - A.9)]
 * [|Money: Compare money amounts (Fourth grade - M.1)]
 * [|Decimals: Equivalent decimals (Fourth grade - T.4)]
 * [|Decimals: Compare decimals and fractions (Fourth grade - T.8)]
 * [|Decimals: Compare decimal numbers (Fourth grade - T.10)]
 * [|Decimals: Put decimal numbers in order (Fourth grade - T.11)]
 * **4.1.01.d Make estimates of rational numbers in appropriate situations.**
 * [|Number sense: Rounding (Fourth grade - A.6)]
 * [|Money: Round money amounts (Fourth grade - M.2)]
 * [|Decimals: Round decimals (Fourth grade - T.9)]
 * **4.1.02 Develop fluency with multiplication and division:**
 * **4.1.02.a Two-digit by two-digit multiplication (larger numbers with calculator).**
 * [|Multiplication: Choose the multiples of a given number up to 12 (Fourth grade - D.2)]
 * [|Multiplication: Multiply 1-digit numbers by larger numbers (Fourth grade - D.3)]
 * [|Multiplication: Multiply a 2-digit number by a 2-digit number (Fourth grade - D.9)]
 * [|Multiplication: Multiply a 2-digit number by a 2-digit number: word problems (Fourth grade - D.10)]
 * [|Multiplication: Multiply a 2-digit number by a larger number (Fourth grade - D.13)]
 * [|Multiplication: Multiply a 2-digit number by a larger number: word problems (Fourth grade - D.14)]
 * [|Multiplication: Multiply numbers ending in zeroes (Fourth grade - D.15)]
 * [|Multiplication: Multiply numbers ending in zeroes: word problems (Fourth grade - D.16)]
 * [|Multiplication: Multiply 3 numbers up to 2 digits each (Fourth grade - D.17)]
 * **4.1.02.b Up to three-digit by two-digit division (larger numbers with calculator).**
 * [|Division: Divide larger numbers, one-digit divisors (Fourth grade - E.4)]
 * [|Division: Divide larger numbers, one-digit divisors: word problems (Fourth grade - E.5)]
 * [|Division: Divide by 1-digit numbers: interpret remainders (Fourth grade - E.7)]
 * [|Division: Divide numbers ending in zeroes, one-digit divisors (Fourth grade - E.9)]
 * [|Division: Divide numbers ending in zeroes, multi-digit divisors (Fourth grade - E.13)]
 * [|Division: Divide numbers ending in zeroes, multi-digit divisors: word problems (Fourth grade - E.14)]
 * [|Division: Divide 2-digit numbers by multiples of 10 (Fourth grade - E.15)]
 * [|Division: Divide by 2-digit numbers (Fourth grade - E.16)]
 * [|Division: Divide by 2-digit numbers: word problems (Fourth grade - E.17)]
 * [|Division: Divide larger numbers by 2-digit numbers (Fourth grade - E.18)]
 * [|Division: Divide larger numbers by 2-digit numbers: word problems (Fourth grade - E.19)]
 * **4.1.02.c Strategies for multiplying and dividing numbers.**
 * [|Multiplication: Multiplication patterns over increasing place values (Fourth grade - D.4)]
 * [|Multiplication: Multiply a 2-digit number by a 2-digit number: complete the missing steps (Fourth grade - D.8)]
 * [|Division: Division patterns over increasing place values (Fourth grade - E.12)]
 * **4.1.02.d Estimation of products and quotients in appropriate situations.**
 * [|Multiplication: Estimate products (Fourth grade - D.6)]
 * [|Multiplication: Estimate products: word problems (Fourth grade - D.7)]
 * [|Division: Estimate quotients, one-digit divisors (Fourth grade - E.10)]
 * [|Division: Estimate quotients (Fourth grade - E.21)]
 * **4.1.02.e Relationships between operations.**
 * [|Division: Properties of division (Fourth grade - E.3)]
 * **4.1.03 Solve problems using models, diagrams, and reasoning about fractions and relationships among fractions involving halves, fourths, eighths, thirds, sixths, twelfths, fifths, tenths, hundredths, and mixed numbers.**
 * [|Fractions and mixed numbers: Equivalent fractions (Fourth grade - Q.1)]
 * [|Fractions and mixed numbers: Patterns of equivalent fractions (Fourth grade - Q.2)]
 * [|Fractions and mixed numbers: Reduce fractions to simplest form (Fourth grade - Q.3)]
 * [|Fractions and mixed numbers: Fractions review (Fourth grade - Q.4)]
 * [|Fractions and mixed numbers: Compare fractions (Fourth grade - Q.5)]
 * [|Fractions and mixed numbers: Put fractions in order (Fourth grade - Q.6)]
 * **4.1.04 Develop fluency with addition and subtraction of non-negative rational numbers with like denominators, including decimal fractions through hundredths.**
 * **4.1.04.a Develop and analyze strategies for adding and subtracting numbers.**
 * [|Addition: Add numbers up to millions (Fourth grade - B.1)]
 * [|Addition: Add numbers up to millions: word problems (Fourth grade - B.2)]
 * [|Addition: Add 3 or more numbers up to millions (Fourth grade - B.5)]
 * [|Addition: Addition patterns over increasing place values (Fourth grade - B.6)]
 * [|Subtraction: Subtract numbers up to millions (Fourth grade - C.1)]
 * [|Subtraction: Subtract numbers up to millions: word problems (Fourth grade - C.2)]
 * [|Subtraction: Subtraction patterns over increasing place values (Fourth grade - C.4)]
 * [|Money: Add and subtract money amounts (Fourth grade - M.3)]
 * [|Money: Making change (Fourth grade - M.5)]
 * [|Money: Price lists with addition and subtraction (Fourth grade - M.6)]
 * [|Add and subtract fractions: Add and subtract fractions with like denominators (Fourth grade - R.1)]
 * [|Add and subtract fractions: Add 3 or more fractions with like denominators (Fourth grade - R.3)]
 * [|Add and subtract fractions: Find the missing numerator or denominator in addition and subtraction sentences (Fourth grade - R.9)]
 * [|Add and subtract fractions: Inequalities with addition and subtraction of fractions (Fourth grade - R.13)]
 * [|Add and subtract fractions: Recipes (Fourth grade - R.14)]
 * [|Add and subtract decimals: Add decimal numbers (Fourth grade - U.1)]
 * [|Add and subtract decimals: Subtract decimal numbers (Fourth grade - U.2)]
 * [|Add and subtract decimals: Choose decimals with a particular sum or difference (Fourth grade - U.4)]
 * [|Add and subtract decimals: Add 3 or more decimals (Fourth grade - U.5)]
 * [|Add and subtract decimals: Complete the addition or subtraction sentence (Fourth grade - U.7)]
 * [|Add and subtract decimals: Inequalities with addition and subtraction (Fourth grade - U.8)]
 * **4.1.04.b Estimate sums and differences.**
 * [|Addition: Estimate sums (Fourth grade - B.8)]
 * [|Subtraction: Estimate differences (Fourth grade - C.6)]
 * **4.1.04.c Judge the reasonableness of solutions.**
 * [|Addition: Estimate sums: word problems (Fourth grade - B.9)]
 * [|Subtraction: Estimate differences: word problems (Fourth grade - C.7)]
 * [|Add and subtract fractions: Add and subtract fractions with like denominators: word problems (Fourth grade - R.2)]
 * [|Add and subtract decimals: Add and subtract decimals: word problems (Fourth grade - U.3)]
 * [|Add and subtract decimals: Add 3 or more decimals: word problems (Fourth grade - U.6)]
 * **4.1.05 Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.**
 * [|Addition: Addition: fill in the missing digits (Fourth grade - B.3)]
 * [|Addition: Choose numbers with a particular sum (Fourth grade - B.7)]
 * [|Subtraction: Subtraction: fill in the missing digits (Fourth grade - C.3)]
 * [|Subtraction: Choose numbers with a particular difference (Fourth grade - C.5)]
 * [|Multiplication: Multiplication facts to 12 (Fourth grade - D.1)]
 * [|Multiplication: Choose numbers with a particular product (Fourth grade - D.11)]
 * [|Multiplication: Inequalities with multiplication (Fourth grade - D.18)]
 * [|Division: Division facts to 12 (Fourth grade - E.1)]
 * [|Division: Division facts to 12: word problems (Fourth grade - E.2)]
 * [|Division: Divide by 1-digit numbers: complete the table (Fourth grade - E.6)]
 * [|Division: Choose numbers with a particular quotient (Fourth grade - E.8)]
 * [|Division: Inequalities with division (Fourth grade - E.20)]
 * [|Mixed operations: Estimate sums, differences, products, and quotients: word problems (Fourth grade - F.3)]
 * [|Mixed operations: Multi-step word problems (Fourth grade - F.4)]
 * [|Mixed operations: Word problems with extra or missing information (Fourth grade - F.5)]
 * [|Mixed operations: Solve word problems using guess-and-check (Fourth grade - F.6)]
 * [|Mixed operations: Choose numbers with a particular sum, difference, product, or quotient (Fourth grade - F.7)]
 * [|Mixed operations: Mentally add and subtract numbers ending in zeroes (Fourth grade - F.8)]
 * [|Mixed operations: Inequalities involving addition, subtraction, multiplication, and division (Fourth grade - F.9)]
 * [|Logical reasoning: Guess two numbers based on sum and difference (Fourth grade - K.1)]
 * [|Logical reasoning: Guess two numbers based on sum, difference, product, and quotient (Fourth grade - K.2)] ||
 * 4.MEA Measurement ||
 * * **4.2 The learner will understand and use perimeter and area.**
 * **4.2.01 Develop strategies to determine the area of rectangles and the perimeter of plane figures.**
 * [|Geometry: Perimeter (Fourth grade - P.15)]
 * [|Geometry: Area of squares and rectangles (Fourth grade - P.16)]
 * **4.2.02 Solve problems involving perimeter of plane figures and areas of rectangles.**
 * [|Geometry: Use area and perimeter to determine cost (Fourth grade - P.19)] ||
 * 4.GEO Geometry ||
 * * **4.3 The learner will recognize and use geometric properties and relationships.**
 * **4.3.01 Use the coordinate system to describe the location and relative position of points and draw figures in the first quadrant.**
 * [|Coordinate graphs: Coordinate graphs review (Fourth grade - I.1)]
 * [|Coordinate graphs: Relative coordinates (Fourth grade - I.3)]
 * [|Coordinate graphs: Coordinate graphs as maps (Fourth grade - I.4)]
 * **4.3.02 Describe the relative position of lines using concepts of parallelism and perpendicularity.**
 * [|Geometry: Parallel, perpendicular, intersecting (Fourth grade - P.23)]
 * **4.3.03 Identify, predict, and describe the results of transformations of plane figures.**
 * **4.3.03.a Reflections.**
 * [|Geometry: Reflection, rotation, and translation (Third grade - R.5)]
 * **4.3.03.b Translations.**
 * [|Geometry: Reflection, rotation, and translation (Third grade - R.5)]
 * **4.3.03.c Rotations.**
 * [|Geometry: Reflection, rotation, and translation (Third grade - R.5)] ||
 * 4.DAP Data Analysis and Probability ||
 * * **4.4 The learner will understand and use graphs, probability, and data analysis.**
 * **4.4.01 Collect, organize, analyze, and display data (including line graphs and bar graphs) to solve problems.**
 * [|Data, charts, and graphs: Read a table (Fourth grade - J.1)]
 * [|Data, charts, and graphs: Interpret bar graphs (Fourth grade - J.4)]
 * [|Data, charts, and graphs: Frequency charts (Fourth grade - J.8)]
 * [|Data, charts, and graphs: Stem-and-leaf plots (Fourth grade - J.9)]
 * [|Data, charts, and graphs: Circle graphs (Fourth grade - J.10)]
 * **4.4.02 Describe the distribution of data using median, range and mode.**
 * [|Probability and statistics: Mean, median, mode, and range (Fourth grade - V.3)]
 * **4.4.03 Solve problems by comparing two sets of related data.**
 * [|Data, charts, and graphs: Interpret line graphs (Fourth grade - J.2)]
 * **4.4.04 Design experiments and list all possible outcomes and probabilities for an event.**
 * [|Probability and statistics: Interpret charts to find mean, median, mode, and range (Fourth grade - V.4)]
 * [|Probability and statistics: Combinations (Fourth grade - V.5)] ||
 * 4.ALG Algebra ||
 * * **4.5 The learner will demonstrate an understanding of mathematical relationships.**
 * **4.5.01 Identify, describe, and generalize relationships in which:**
 * **4.5.01.a Quantities change proportionally.**
 * [|Functions: Input/output tables with addition, subtraction, multiplication, and division (Fourth grade - H.1)]
 * **4.5.01.b Change in one quantity relates to change in a second quantity.**
 * [|Functions: Function tables (Fourth grade - H.2)]
 * **4.5.02 Translate among symbolic, numeric, verbal, and pictorial representations of number relationships.**
 * [|Algebra: Write variable expressions (Fourth grade - G.1)]
 * [|Algebra: Write variable expressions: word problems (Fourth grade - G.2)]
 * [|Algebra: Write variable equations to represent word problems (Fourth grade - G.5)]
 * [|Functions: Write linear functions (Fourth grade - H.3)]
 * [|Functions: Graph linear functions (Fourth grade - H.4)]
 * **4.5.03 Verify mathematical relationships using:**
 * **4.5.03.a Models, words, and numbers.**
 * [|Number sense: Inequalities with number lines (Fourth grade - A.8)]
 * [|Decimals: Solve decimal problems using diagrams (Fourth grade - T.13)]
 * **4.5.03.b Order of operations and the identity, commutative, associative, and distributive properties.**
 * [|Addition: Properties of addition (Fourth grade - B.4)]
 * [|Multiplication: Properties of multiplication (Fourth grade - D.5)]
 * [|Algebra: Simplify expressions using order of operations and parentheses (Fourth grade - G.4)] ||

<span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 17px; line-height: 25px;">**__Hands On Math Activities for__** <span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 17px; line-height: 25px;">**__[|Numbers and Operations]__** Problem Solving <span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 17px; line-height: 25px;">[|Data Management] <span style="color: #000080; font-family: "Comic Sans MS",cursive; font-size: 120%;">**[|Measurement]**
 * <span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 17px; line-height: 25px;">[|Geometry] **

**4th Grade** [|Number Activities] [|Geometry Activities] [|Measurement and Data Activities] [|4th Grade Math Journals] [|4th Grade Math Vocabulary Resources]

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<span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 130%;">**4th Grade Math Common Core-** <span style="background-color: #ffffff; display: block; font-family: verdana,arial,helvetica,clean,sans-serif; font-size: 12px; text-align: left;">IXL's math skills are aligned to the 2010 Common Core State Standards, providing comprehensive preparation for the North Carolina End-of-Grade Tests. With IXL's state standards alignments, you can easily find unlimited practice problems specifically tailored to each required standard. <span style="background-color: #ffffff; display: block; font-family: verdana,arial,helvetica,clean,sans-serif; font-size: 12px; text-align: left;">Even better, IXL automatically tracks student progress and displays proficiency scores in the state standards reports. These reports allow you to quickly evaluate student aptitude and identify trouble spots.

<span style="background-color: #ffffcc; color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 18px;">__**4th Grade Number Activities**__ The tables below provide examples of **<span style="background-color: #ffffcc; color: #333333; font-family: arial,san-serif;">4th Grade Number Activities ** aligned with the **<span style="background-color: #ffffcc; color: #333333; font-family: arial,san-serif;">Common Core State Standards **. These activities are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. <span style="background-color: #ffffcc; color: #333333; font-family: arial,san-serif;">All 4th grade number activities are suitable for use in Math Centers, small group or whole class settings. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for the 4th grade number activities listed are in PDF format and can be accessed using Adobe Reader.

<span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 130%;">**__ 4th GRADE NUMBER ACTIVITIES: __** [|Representing Multiplicative Comparison Problems] > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Multiplication: Estimate products: word problems (Fourth grade - D.7)] [|Sample Multiplicative Comparison Problems] > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Number sense: Rounding (Fourth grade - A.6)] [|Multistep Word problems] [|Interpreting Remainders] 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. > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Number sense: Prime and composite numbers (Fourth grade - A.5)] [|Choose a Number Project] [|Finding Multiples] [|Prime Number Hunt] [|Common Multiples] [|Least Common Multiple] [|Find the Factor] 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 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. > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Functions: Input/output tables with addition, subtraction, multiplication, and division (Fourth grade - H.1)] [|Square Numbers] [|Triangular Numbers] ||
 * <span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 130%;">**__OPERATIONS AND ALGEBRAIC THINKING:__** ||
 * **Use the four operations with whole numbers to solve problems**
 * 4.OA1** 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.
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Multiplication: Properties of multiplication (Fourth grade - D.5)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Multiplication: Choose numbers with a particular product (Fourth grade - D.11)]
 * 4.OA2** 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.
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Multiplication: Multiply a 2-digit number by a 2-digit number: word problems (Fourth grade - D.10)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Multiplication: Multiply a 2-digit number by a larger number: word problems (Fourth grade - D.14)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Multiplication: Multiply numbers ending in zeroes: word problems (Fourth grade - D.16)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Division: Division facts to 12: word problems (Fourth grade - E.2)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Division: Divide larger numbers, one-digit divisors: word problems (Fourth grade - E.5)]
 * <span style="background-color: #ffffff; color: #4b610e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Division: Divide numbers ending in zeroes, multi-digit divisors: word problems (Fourth grade - E.14)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Division: Divide by 2-digit numbers: word problems (Fourth grade - E.17)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Division: Divide larger numbers by 2-digit numbers: word problems (Fourth grade - E.19)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Mixed operations: Addition, subtraction, multiplication, and division word problems (Fourth grade - F.2)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Mixed operations: Estimate sums, differences, products, and quotients: word problems (Fourth grade - F.3)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Money: Price lists with multiplication (Fourth grade - M.7)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Measurement: Compare customary units by multiplying (Fourth grade - N.3)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Measurement: Convert between metric and customary units (Fourth grade - N.6)]
 * Possible Activities:**
 * 4.OA3** Solve multistep word problems posed with whole numbers and having whole-number 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.
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Division: Divide by 1-digit numbers: interpret remainders (Fourth grade - E.7)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Mixed operations: Estimate sums, differences, products, and quotients: word problems (Fourth grade - F.3)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Mixed operations: Multi-step word problems (Fourth grade - F.4)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Algebra: Write variable expressions: word problems (Fourth grade - G.2)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Algebra: Write variable equations to represent word problems (Fourth grade - G.5)]
 * Possible Activities:**
 * Gain familiarity with factors and multiples**
 * 4.OA4**
 * <span style="background-color: #ffffff; color: #4b610e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Multiplication: Choose the multiples of a given number up to 12 (Fourth grade - D.2)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Division: Divisibility rules (Fourth grade - E.11)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Mixed operations: Choose numbers with a particular sum, difference, product, or quotient (Fourth grade - F.7)]
 * Possible Activities:**
 * Generate and analyze patterns**
 * 4.OA5**
 * <span style="background-color: #ffffff; color: #4b610e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Functions: Function tables (Fourth grade - H.2)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Patterns: Geometric growth patterns (Fourth grade - L.1)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Patterns: Increasing growth patterns (Fourth grade - L.2)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Patterns: Numeric patterns: word problems (Fourth grade - L.3)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Patterns: Mixed patterns review (Fourth grade - L.4)]

<span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 130%;">__** 4th GRADE NUMBER ACTIVITIES **__ > <span style="background-color: #ffffff; color: #4b610e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Number sense: Place values (Fourth grade - A.1)] > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Number sense: Place values (Fourth grade - A.1)] > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Number sense: Rounding (Fourth grade - A.6)] [|Round to the Nearest Ten] [|Round to the Nearest Hundred] > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Addition: Add numbers up to millions (Fourth grade - B.1)] [|Addition and Subtraction Number Stories] > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Multiplication: Multiply 1-digit numbers by larger numbers (Fourth grade - D.3)] [|Multiplication Number Story] [|Breaking Apart a Factor] Multiplication Bump (x100) Make the Largest Product Make the Smallest Product > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Division: Properties of division (Fourth grade - E.3)] [|Remainders] ||
 * <span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 130%;">__**NUMBER AND OPERATIONS IN BASE TEN**__ ||
 * **Generalize place value understanding for multi-digit whole numbers**
 * 4.NBT1** 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 that 700÷70=10 by applying concepts of place value and division.
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Number sense: Convert between place values (Fourth grade - A.2)]
 * 4.NBT2** 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.
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Number sense: Word names for numbers (Fourth grade - A.3)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Number sense: Compare numbers up to billions (Fourth grade - A.9)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Addition: Addition patterns over increasing place values (Fourth grade - B.6)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Multiplication: Inequalities with multiplication (Fourth grade - D.18)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Division: Inequalities with division (Fourth grade - E.20)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Mixed operations: Inequalities involving addition, subtraction, multiplication, and division (Fourth grade - F.9)]
 * 4.NBT3** Use place value understanding to round multi-digit whole numbers to any place.
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Addition: Estimate sums (Fourth grade - B.8)]
 * <span style="background-color: #ffffff; color: #4b610e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Addition: Estimate sums: word problems (Fourth grade - B.9)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Multiplication: Estimate products (Fourth grade - D.6)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Division: Estimate quotients, one-digit divisors (Fourth grade - E.10)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Division: Estimate quotients (Fourth grade - E.21)]
 * Possible Activities:**
 * Use place value understanding and properties of operations to perform multi-digit arithmetic**
 * 4.NBT4** Fluently add and subtract multi-digit whole numbers using the standard algorithm.
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Addition: Add numbers up to millions: word problems (Fourth grade - B.2)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Addition: Addition: fill in the missing digits (Fourth grade - B.3)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Addition: Add 3 or more numbers up to millions (Fourth grade - B.5)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Addition: Choose numbers with a particular sum (Fourth grade - B.7)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Subtraction: Subtract numbers up to millions (Fourth grade - C.1)]
 * <span style="background-color: #ffffff; color: #4b610e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Subtraction: Subtract numbers up to millions: word problems (Fourth grade - C.2)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Subtraction: Subtraction: fill in the missing digits (Fourth grade - C.3)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Subtraction: Choose numbers with a particular difference (Fourth grade - C.5)]
 * 4.NBT5** 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
 * <span style="background-color: #ffffff; color: #4b610e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Multiplication: Multiplication patterns over increasing place values (Fourth grade - D.4)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Multiplication: Properties of multiplication (Fourth grade - D.5)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Multiplication: Multiply a 2-digit number by a 2-digit number: complete the missing steps (Fourth grade - D.8)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Multiplication: Multiply a 2-digit number by a 2-digit number (Fourth grade - D.9)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Multiplication: Multiply numbers ending in zeroes (Fourth grade - D.15)]
 * Possible Activities:**
 * 4.NBT6** 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
 * <span style="background-color: #ffffff; color: #4b610e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Division: Divide larger numbers, one-digit divisors (Fourth grade - E.4)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Division: Divide by 1-digit numbers: complete the table (Fourth grade - E.6)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Division: Divide numbers ending in zeroes, one-digit divisors (Fourth grade - E.9)]
 * Possible Activities:**

<span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 130%;">__** 4th GRADE NUMBER ACTIVITIES **__ > <span style="background-color: #ffffff; color: #4b610e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Fractions and mixed numbers: Equivalent fractions (Fourth grade - Q.1)] [|Creating Equivalent Fractions] [|Fraction Wall Game] > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Fractions and mixed numbers: Compare fractions (Fourth grade - Q.5)] [|Who Ate More?] Fraction Compare Fraction Cards a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. <span style="background-color: #ffffff; display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;">. * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Add and subtract fractions: Add and subtract fractions with like denominators (Fourth grade - R.1)] * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Add and subtract fractions: Add 3 or more fractions with like denominators (Fourth grade - R.3)] **Possible Activities:** [|Adding Fractions with Like Denominators] [|Adding Fractions Using Pattern Blocks] - Ed Emberley's Picture Pie b. Decompose a fraction into a sum of fraction 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 > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Add and subtract fractions: Add and subtract fractions with like denominators (Fourth grade - R.1)] Decomposing Fractions c. 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. <span style="background-color: #ffffff; color: #4b610e; display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;">__Add and subtract fractions: Add and subtract mixed numbers with like denominators (Fourth grade - R.10)__ [|Adding Mixed Numbers] [|Subtracting Mixed Numbers] d. 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. <span style="background-color: #ffffff; color: #4b610e; display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;">__Add and subtract fractions: Add and subtract fractions with like denominators: word problems (Fourth grade - R.2)__ Addition Word Problem with Fractions (like denominators) Subtraction Word Problem with Fractions (like denominators) a. 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 of 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4). <span style="background-color: #ffffff; color: #4b610e; display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;">__Multiply fractions: Multiply fractions by whole numbers I (Fourth grade - S.1)__ b. 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) = (nxa)/b). <span style="background-color: #ffffff; display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;">. * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Multiply fractions: Multiply fractions by whole numbers II (Fourth grade - S.2)] c. 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? <span style="background-color: #ffffff; color: #4b610e; display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;">__Multiply fractions: Multiply fractions by whole numbers: word problems (Fourth grade - S.3)__ **Possible Activities:** [|Whole Number x Fraction Word Problems] - Full House: An Invitation to Fractions [|Sums of 1] > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Decimals: Convert fractions and mixed numbers to decimals (Fourth grade - T.6)] [|Decimals in Money] [|Representing Decimals with Base 10 Blocks] [|Decimal Riddles] > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Decimals: Compare decimal numbers (Fourth grade - T.10)] [|Comparing Decimals] [|Decimal Sort] || <span style="background-color: #ffffcc; color: #006666; display: block; font-family: arial,san-serif; font-size: 18px; text-align: center;">Grades 4 Geometry Activities The tables below provide examples of **<span style="background-color: #ffffcc; color: #333333; font-family: arial,san-serif;">Grades 4 Geometry Activities **aligned with the Common Core State Standards.These activities are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. <span style="background-color: #ffffcc; color: #333333; font-family: arial,san-serif;">All activities are suitable for use in Math Centers, small group or whole class settings. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for Grade 4 geometry activities listed are in PDF format and can be accessed using Adobe Reader.
 * <span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 130%;">__**NUMBER AND OPERATIONS - FRACTIONS**__ ||
 * **Extend understanding of fraction equivalence and ordering**
 * 4.NF1** Explain why a fraction a/b is equivalent to a fraction (nxa)/(nxb) 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.
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Fractions and mixed numbers: Patterns of equivalent fractions (Fourth grade - Q.2)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Fractions and mixed numbers: Reduce fractions to simplest form (Fourth grade - Q.3)]
 * Possible Activities:**
 * 4.NF2** Compare 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 ½. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with comparisons with symbols >, =, or <. and justify the conclusions, e.g., by using a visual fraction model.
 * <span style="background-color: #ffffff; color: #4b610e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Fractions and mixed numbers: Put fractions in order (Fourth grade - Q.6)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Add and subtract fractions: Inequalities with addition and subtraction of fractions (Fourth grade - R.13)]
 * Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers**
 * 4.NF3** Understand a fraction a/b with a>1 as a sum of fractions 1/b.
 * Possible Read Aloud:** (see task card in right hand column)
 * <span style="background-color: #ffffff; color: #4b610e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Add and subtract fractions: Add 3 or more fractions with like denominators (Fourth grade - R.3)]
 * 4.NF4** Apply and extend previous understandings of multiplication to multiply a fraction by a whole number:
 * Possible Read Aloud:** (see task card in right hand column)
 * Understand decimal notation for fractions, and compare decimal fractions**
 * 4.NF5** Express 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. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
 * Possible Activities:**
 * 4.NF6** 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.
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Decimals: Convert decimals to fractions and mixed numbers (Fourth grade - T.7)]
 * Possible Activities:**
 * 4.NF7** 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 >, =, or <, and justify the conclusions, e.g., by using a visual model.
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Decimals: Put decimal numbers in order (Fourth grade - T.11)]
 * Possible Activities:**

<span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 130%;">__**4th GRADE GEOMETRY ACTIVITIES:**__ > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Geometry: Acute, right, obtuse, and straight angles (Fourth grade - P.10)] [|Angles on the Geoboard] [|Angle Barrier Game] > <span style="background-color: #ffffff; color: #4b610e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Geometry: Identify planar and solid figures (Fourth grade - P.1)] [|Constructing Quadrilaterals] [|Quadrilateral Criteria] [|Classifying Triangles 1] [|Classifying Triangles 2] [|Triangles on the Geoboard] <span style="background-color: #ffffff; color: #4b610e; display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;">__Geometry: Lines of symmetry (Fourth grade - P.21)__ **Possible Activities:** [|Symmetry on the Geoboard] [|Symmetry in Shapes] [|Symmetry in Regular Polygons] [|Symmetrical Coin Designs] [|More Symmetrical Coin Designs] ||
 * <span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 130%;">__**GEOMETRY:**__ ||
 * **Draw and identify lines and angles, and classify shapes by properties of their lines and angles**
 * 4.G1** Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Geometry: Lines, line segments, and rays (Fourth grade - P.22)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Geometry: Parallel, perpendicular, intersecting (Fourth grade - P.23)]
 * Possible Activities:**
 * 4.G2**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.
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Geometry: Types of triangles (Fourth grade - P.2)]
 * Possible Activities:**
 * 4.G3** Recognize 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.

<span style="background-color: #ffffcc; color: #006666; display: block; font-family: arial,san-serif; font-size: 18px; text-align: center;"><span style="background-color: #ffffcc; color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 18px;">__**Grades 4 Data and Measurement Activities**__ The tables below provide examples of **<span style="background-color: #ffffcc; color: #333333; font-family: arial,san-serif;">Grades 4 Data and Measurement Activities **aligned with the **<span style="background-color: #ffffcc; color: #333333; font-family: arial,san-serif;">Common Core State Standards **. These activities are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. <span style="background-color: #ffffcc; color: #333333; font-family: arial,san-serif;">All Grade 4 data and measurement activities activities are suitable for use in Math Centers, small group or whole class settings. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for Grade 4 data and measurement activities listed are in PDF format and can be accessed using Adobe Reader.

<span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 130%;">__**4th GRADE: DATA AND MEASUREMENT ACTIVITIES:**__

> <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Measurement: Compare and convert customary units (Fourth grade - N.1)] [|Measurement Conversion Word Problems] [|Measurement Concentration] <span style="background-color: #ffffff; display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;">. * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Money: Compare money amounts (Fourth grade - M.1)] * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Money: Round money amounts (Fourth grade - M.2)] * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Money: Add and subtract money amounts (Fourth grade - M.3)] Measurement Word Problems Elapsed Time Ruler 1 Elapsed Time Ruler 2 24 hour number line (4 per page) > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Geometry: Perimeter (Fourth grade - P.15)] [|A Dinner Party] [|Fencing a Garden] [|Designing a Zoo Enclosure] [|Build Your Dream Home Project] > <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Data, charts, and graphs: Interpret line plots (Fourth grade - J.6)] [|Length of Ants Line Plot] [|Objects in My Desk Line Plot] a. An angle is measured with reference to a circle 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 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles. <span style="background-color: #ffffff; color: #4b610e; display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;">__Geometry: Angles of 90, 180, 270, and 360 degrees (Fourth grade - P.11)__ b. An angle that turns through n one-degree angles is said to have an angle measure of n degrees. > <span style="background-color: #ffffff; color: #4b610e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Geometry: Angles of 90, 180, 270, and 360 degrees (Fourth grade - P.11)] [|Angles in Names] <span style="background-color: #ffffff; color: #4b610e; display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;">__Geometry: Measure angles with a protractor (Fourth grade - P.12)__ **Possible Activities:** [|Predicting and Measuring Angles] [|Angle Barrier Game] [|Angles in Triangles] [|Angles in Quadrilaterals] <span style="background-color: #ffffff; color: #4b610e; display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;">__Geometry: Adjacent angles (Fourth grade - P.13)__ [|Unknown Angle Word Problems] [|How Many Degrees?] [|Angles in a Right Triangle] || <span style="background-color: #ffffff; color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 130%;">**Number Sense and Operations:** [] [] [] []
 * <span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 130%;">__**MEASUREMENT AND DATA:**__ ||
 * **Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit**
 * 4.MD1** 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 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 4ft snake as 48in. Generate a conversion table for feet and inches listing the number pairs (1,12), (2,24), (3,36)…
 * <span style="background-color: #ffffff; color: #4b610e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Measurement: Compare and convert metric units (Fourth grade - N.2)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Measurement: Convert mixed customary units (Fourth grade - N.4)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Time: Convert time units (Fourth grade - O.1)]
 * 4.MD2** 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 of decimals, and problems that require expressing measurements given in a large unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
 * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Money: Add, subtract, multiply, and divide money amounts (Fourth grade - M.4)]
 * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Money: Making change (Fourth grade - M.5)]
 * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Money: Price lists with addition and subtraction (Fourth grade - M.6)]
 * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Money: Unit prices (Fourth grade - M.8)]
 * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Measurement: Add and subtract mixed customary units (Fourth grade - N.5)]
 * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Time: Add and subtract mixed time units (Fourth grade - O.2)]
 * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Time: Fractions of time units (Fourth grade - O.3)]
 * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Time: Elapsed time (Fourth grade - O.5)]
 * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Time: Find start and end times: multi-step word problems (Fourth grade - O.6)]
 * <span style="display: block; font-family: verdana,arial,helvetica,clean,sans-serif; text-align: left;"> [|Time: Time patterns (Fourth grade - O.8)]
 * 4.MD3** 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 the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Geometry: Area of squares and rectangles (Fourth grade - P.16)]
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Geometry: Use area and perimeter to determine cost (Fourth grade - P.19)]
 * Represent and interpret data**
 * 4.MD4** Make a line plot to display a data set of measurements in fractions of a unit (1/2, ¼, 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.
 * <span style="background-color: #ffffff; color: #4b610e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Data, charts, and graphs: Create line plots (Fourth grade - J.7)]
 * Geometric measurement: understand concepts of angle and measure angles**
 * 4.MD5** Recognize angles as geometric shapes that are formed whenever two rays share a common endpoint, and understand concepts of angle measurement:
 * <span style="background-color: #ffffff; color: #00659e; font-family: Verdana,arial,helvetica,clean,sans-serif;">[|Geometry: Adjacent angles (Fourth grade - P.13)]
 * 4.MD6** Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
 * 4.MD7** Recognize 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. 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.

[|Rags to Riches Place Value Game] [|Rags to Riches Rounding Game] [|Rags to Riches, Number and Number Sense]
 * <span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 22px;">__Place Value:__ **

<span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 22px;">__**Fractions:**__ [|Fraction Bars Online] [|Fraction Fun Games] [|Fraction Fun] [|Fraction Circles] [|Making Fraction Flags] [|Balloon Pop Fractions] [|Interactive Equivalent Fractions] [|Dolphin Race] [|Dirt Bike Race ~ Equal Fractions]

<span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 22px;">__**Multiplication and Division**__ [|Multiplication Mystery] [|Hidden Picture ~ Division] [|Rock Hopper Multiplication] [|FUN Multiplication Games] [|Division Practice] [|Multiplication Practice]

<span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 22px;">__**Graphing**__ ‍[|Kid Zone Graphing] [|Graphing Tool]

<span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 22px;">__**Area and Perimeter**__ [|Area and Perimeter Game] [|Find Area and Perimeter w/ Interactive Ruler] [|Hidden Picture Area and Perimeter Game] [|Spaceship Builder] Perimeter Study using Google Earth's Ruler Tool - Julie Garber
 * [[image:https://www.wikispaces.com/i/mime/32/application/msword.png caption="external image msword.png" link="file:techopedia/Perimeter with Google Earth.doc"]] ||
 * external image msword.png ||

<span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 22px;">__**Subtraction and Addition:**__ [|Base Ten Block Subtraction] [|Shoot the Blobs - make easy or challenging] I[|nteractive Pencil to Solve Problems] [|Subtraction Practice]

<span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 22px;">__**Time:**__ [|Bang on Time] [|Stop the Clock]

<span style="color: #ff0000; font-family: "Comic Sans MS",cursive; font-size: 22px;">__**Geometry:**__ [|SET] [|Tangrams] [|Virtual Geoboard] [|3D Shape Quiz] [|Pattern Song] [|Geometry Resource]

Prezi Review for 2nd nine weeks media type="custom" key="11577606"

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