Grade 4

4.1Interpret and write equations for multiplicative comparisons.4.10Use place value strategies to fluently add and subtract multi-digit whole numbers and connect strategies to the standard algorithm.4.11Find the product of two factors (up to four digits by a one-digit number and two two-digit numbers), using strategies based on place value and the properties of operations.4.12Use strategies based on place value, properties of operations, and/or the relationship between multiplication and division to find whole-number quotients and remainders with one-digit divisors and up to four-digit dividends.4.13Using area and length fraction models, explain why one fraction is equivalent to another, taking into account that the number and size of the parts differ even though the two fractions themselves are the same size.4.14Compare two fractions with different numerators and different denominators using concrete models, benchmarks (0, ½, 1), common denominators, and/or common numerators, recording the comparisons with symbols >, =, or <, and justifying the conclusions.4.15Model and justify decompositions of fractions and explain addition and subtraction of fractions as joining or separating parts referring to the same whole.4.16Apply and extend previous understandings of multiplication to multiply a whole number times a fraction.4.17Express, model, and explain the equivalence between fractions with denominators of 10 and 100.4.18Use models and decimal notation to represent fractions with denominators of 10 and 100.4.19Use visual models and reasoning to compare two decimals to hundredths (referring to the same whole), recording comparisons using symbols >, =, or <, and justifying the conclusions.4.2Solve word problems involving multiplicative comparison using drawings and write equations to represent the problem, using a symbol for the unknown number.4.20Interpret data in graphs (picture, bar, and line plots) to solve problems using numbers and operations.4.21Select and use an appropriate unit of measurement for a given attribute (length, mass, liquid volume, time) within one system of units: metric - km, m, cm; kg, g, l, ml; customary - lb, oz; time - hr, min, sec.4.22Use the four operations to solve measurement word problems with distance, intervals of time, liquid volume, mass of objects, and money.4.23Apply area and perimeter formulas for rectangles in real-world and mathematical situations.4.24Identify an angle as a geometric shape formed wherever two rays share a common endpoint.4.25Use a protractor to measure angles in whole-number degrees and sketch angles of specified measure.4.26Decompose an angle into non-overlapping parts to demonstrate that the angle measure of the whole is the sum of the angle measures of the parts.4.27Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines, and identify these in two-dimensional figures.4.28Identify 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.4.29Define 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.4.3Determine and justify solutions for multi-step word problems, including problems where remainders must be interpreted.4.4For whole numbers in the range 1 to 100, find all factor pairs, identifying a number as a multiple of each of its factors.4.5Generate and analyze a number or shape pattern that follows a given rule.4.6Using models and quantitative reasoning, explain that in a multi-digit whole number, a digit in any place represents ten times what it represents in the place to its right.4.7Read and write multi-digit whole numbers using standard form, word form, and expanded form.4.8Use place value understanding to compare two multi-digit numbers using >, =, and < symbols.4.9Round multi-digit whole numbers to any place using place value understanding.
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