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KS.4.G.Geometry
Geometry
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
4.G.1. Draw points, lines, line segments, rays, angles (right, acute, obtuse, straight, reflex), and perpendicular and parallel lines. Identify these in two-dimensional figures.
Quiz, Flash Cards, Worksheet, Game & Study GuideAngles
Quiz, Flash Cards, Worksheet, Game & Study GuideLines and 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 (right, acute, obtuse, straight, reflex). Recognize and categorize triangles based on angles (acute, obtuse, equiang
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 GuideSymmetry
KS.4.MD.Measurement and Data
Measurement and Data
Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
4.MD.1. 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 equiva
4.MD.3. Apply the area and perimeter formulas for rectangles in real world and mathematical problems explaining and justifying the appropriate unit of measure. For example, find the width of a rectangular room given the area of the flooring and the length, by vie
Quiz, Flash Cards, Worksheet, Game & Study GuideArea
Use place value understanding and properties of operations to perform multi-digit arithmetic.
4.NBT.4. Fluently (efficiently, accurately, and flexibly) add and subtract multi-digit whole numbers using an efficient algorithm (including, but not limited to: traditional, partial-sums, etc.), based on place value understanding and the properties of operations.
Quiz, Flash Cards, Worksheet, Game & Study GuideRegrouping
Quiz, Flash Cards, Worksheet, Game & Study GuideWord Problems
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 ar
Quiz, Flash Cards, Worksheet, Game & Study GuideMultiplication
Quiz, Flash Cards, Worksheet, Game & Study GuideMultiplication
Quiz, Flash Cards, Worksheet, Game & Study GuideMultiplication
Quiz, Flash Cards, Worksheet, Game & Study GuideOdd/Even
Quiz, Flash Cards, Worksheet, Game & Study GuideWord Problems
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 the
Generalize place value understanding for multi-digit whole numbers. (Limited to whole numbers less than or equal to 1,000,000.)
4.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 70070=10 by applying concepts of place value and division.
4.NBT.2. Read and write multi-digit whole numbers using base-ten numerals, number names, expanded form, and unit form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, <, =, and ≠ symbols to record the results of comparisons.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. (Limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100)
4.NF.3. Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
4.NF.3a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
4.NF.3b. 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.
4.NF.3c. Add and subtract mixed numbers with like denominators, e.g. by replacing each mixed number with an equivalent fraction (simplest form is not an expectation), and/or by using properties of operations and the relationship between addition and subtraction.
4.NF.3d. 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.
4.NF.4. Apply and extend previous understandings of multiplication (refer to 2.OA.3, 2.OA.4, 3.OA.1, 3.NF.1, 3.NF.2) to multiply a fraction by a whole number.
4.NF.4a. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as 5 copies of 1/4, recording the conclusion by the equation 5/4 = 5 ⋅ 1/4.
4.NF.4b. 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 ⋅ 2/5 as 6 ⋅ 1/5, recognizing this product as 6/5. (In general, n ⋅ a/b = n⋅a/b.)
4.NF.4c. 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 p
Understand decimal notation for fractions, and compare decimal fractions. (Students are expected to learn to add decimals by converting them to fractions with the same denominator, in preparation for general fraction addition in grade 5.)
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 relational symbols >, < =, or ≠, and justify the conclusi
Extend understanding of fraction equivalence and ordering. (Limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100)
4.NF.1. Explain why a fraction a/b is equivalent to a fraction n⋅a/n⋅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 g
4.NF.2. Compare two fractions with different numerators and different denominators, (e.g. by creating common numerators or denominators, or by comparing to a benchmark fraction such as 1/2.) Recognize that comparisons are valid only when the two fractions refer t
4.OA.4. Find all factor pairs for a whole number in the range 1 to 100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1 to 100 is a multiple of a given one-digit number. Determine whether a
Quiz, Flash Cards, Worksheet, Game & Study GuideCommon Factors
Generate and analyze patterns.
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 GuidePatterns
Quiz, Flash Cards, Worksheet, Game & Study GuidePatterns
Quiz, Flash Cards, Worksheet, Game & Study GuidePatterns
Use the four operations with whole numbers to solve problems.
4.OA.1. Interpret a multiplication equation as a comparison, (e.g. interpret 35 = 5⋅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.
Quiz, Flash Cards, Worksheet, Game & Study GuideWord Problems
4.OA.2. 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.)
Quiz, Flash Cards, Worksheet, Game & Study GuideProblem Solving
Quiz, Flash Cards, Worksheet, Game & Study GuideWord Problems
4.OA.3. Solve multi-step word problem 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 situation equations and/or solution equations with