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UT.4.G.GEOMETRY (4.G)
Draw and identify lines and angles, as well as classify shapes by properties of their lines and angles (Standards 4.G.1–3).4.G.1. Draw points, lines, line segments, rays, angles (right, acute, and obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
4.G.2. 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.
4.G.3. 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.Quiz, Flash Cards, Worksheet, Game & Study Guide Symmetry
UT.4.MD.MEASUREMENT AND DATA (4.MD)
MEASUREMENT AND DATA (4.MD)
Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit (Standards 4.MD.1–2). Apply knowledge of area and perimeter to solve real-world and mathematical problems (Standard 4.MD.3). Represent and interpret d4.MD.1. Know relative sizes of measurement units within each system of units (standard and metric), including kilometers, meters, and centimeters; liters and milliliters; kilograms and grams; pounds and ounces; hours, minutes, and seconds. Within a single system
4.MD.3. 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 anQuiz, Flash Cards, Worksheet, Game & Study Guide Area
4.MD.5. Recognize angles as geometric figures that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement.4.MD.5.a. Understand that 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 through 1/3Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
4.MD.5.b. Understand that an angle that turns through n one-degree angles is said to have an angle measure of n degrees.Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
4.MD.6. Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
UT.4.MP.MATHEMATICAL PRACTICES (4.MP)
MATHEMATICAL PRACTICES (4.MP)
4.MP.1. Make sense of problems and persevere in solving them.
UT.4.NBT.NUMBER AND OPERATIONS IN BASE TEN (4.NBT)
NUMBER AND OPERATIONS IN BASE TEN (4.NBT)
Generalize place value understanding for multi-digit whole numbers by analyzing patterns, writing whole numbers in a variety of ways, making comparisons, and rounding. Use place value understanding and properties of operations to perform multi-digit addit4.NBT.1. 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.Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
4.NBT.2. 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.Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
4.NBT.3. Use place value understanding to round multi-digit whole numbers to any place.Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding
4.NBT.4. Fluently add and subtract multi-digit whole numbers using the standard algorithm.Quiz, Flash Cards, Worksheet, Game & Study Guide Regrouping
4.NBT.5. 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 arQuiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
4.NBT.6. 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 theQuiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Division
UT.4.NF.NUMBER AND OPERATIONS—FRACTIONS (4.NF)
NUMBER AND OPERATIONS—FRACTIONS (4.NF)
Extend understanding of equivalence and ordering of fractions. Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. Understand decimal notation to the hundredths and compare decimal fraction4.NF.1. 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 themselves4 are the same size. Use this principle to recognQuiz, Flash Cards, Worksheet, Game & Study Guide Fractions
4.NF.2. Compare two fractions with different numerators and different denominators, for example, 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 rQuiz, Flash Cards, Worksheet, Game & Study Guide Fractions
4.NF.3. Understand a fraction a/b with a >1 as a sum of fractions 1/b. In other words, any fraction is a sum of unit fractions.4.NF.3.a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
4.NF.3.b. 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, for example, by using a visual fraction model. For example, 3/8 = 1/8 + 1/8 + 1/8; 3/8 = 1/8
4.NF.3.c. Add and subtract mixed numbers with like denominators, for example, by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction. For example, 3 1/4 + 2 1/4 = 13
4.NF.3.d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, for example, by using visual fraction models and equations to represent the problem.
4.NF.4. Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.4.NF.4.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 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4).Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line Quiz, Flash Cards, Worksheet, Game & Study Guide Probability Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
4.NF.4.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) = (
4.NF.4.c. Solve word problems involving multiplication of a fraction by a whole number (for example, 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 wil
4.NF.5. 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.
4.NF.6. 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.
4.NF.7. 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, fo
UT.4.OA.OPERATIONS AND ALGEBRAIC THINKING (4.OA)
OPERATIONS AND ALGEBRAIC THINKING (4.OA)
Use the four operations with whole numbers (addition, subtraction, multiplication, and division) to solve problems. Gain familiarity with factors and multiples. Generate and analyze numeric and shape patterns. Demonstrate complete fluency with products of4.OA.1. Interpret a multiplication equation as a comparison (for example, 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.
4.OA.2. Multiply or divide to solve word problems involving multiplicative comparison, for example, by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.
4.OA.4. 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
4.OA.5. 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 Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns