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 4.NBT.A. Generalize place value with multi-digit whole numbers

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 4.NBT.A. Generalize place value with multi-digit whole numbers

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Know that in a multi-digit whole number, a digit in any place represents ten times as much as it represents in the place to its right

Be able to read and write multi-digit whole numbers using standard form, expanded form, and word form.

Be able to compare two multi-digit numbers based on the meanings of the digits and each place, recording the results of comparisons with the symbols >, =, and <.

Can use place value understanding or visual representation to round multi-digit whole numbers to any place.

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4.NF.A. Extend understanding of fraction equivalence and ordering

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4.NF.A. Extend understanding of fraction equivalence and ordering

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Explain why fractions that look different can be equivalent using visual fraction models, with attention to how the numbers and sizes of the parts differ even though the two fractions themselves are the same size.

Compare two fractions with different numerators and different denominators, by finding common denominators or numerators.

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4.NF.C. Understand decimal notation for fractions, and compare decimal fractions.

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4.NF.C. Understand decimal notation for fractions, and compare decimal fractions.

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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.

Use decimal notation to represent fractions with denominators 10 or 100.

Compare two decimals to hundredths/percents by reasoning about their size.

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4.OA.A. Use the four operations with whole numbers to solve problems

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4.OA.A. Use the four operations with whole numbers to solve problems

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Interpret a multiplication equation as a comparison. Represent verbal multiplicative comparisons as equations.

Multiply or divide to solve word problems involving multiplicative comparison.

Solve multi-step whole-number word problems using the four operations, including problems in which remainders must be interpreted.

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4.OA.B. Gain familiarity with factors and multiples

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4.OA.B. Gain familiarity with factors and multiples

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Find all factor pairs for a whole number in the range 1–100. e.g. 100= 1*100, 2*50, 4*25, 5*20, 10*10

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Generate a number or shape pattern that follows a rule. Explain features of the pattern that were not explicit in the rule itself.

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Fluently use the standard algorithm for multi-digit whole-number addition and subtraction.

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4.NF.B. Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

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4.NF.B. Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

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Understand fraction 𝑎/𝑏 with 𝑎 > 1 as a sum of fraction 1/𝑏.

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4.MD.A. Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

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4.MD.A. Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

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Know relative sizes of measurement units within any one system of units.

Use the four operations to solve word problems involving measurements.

Apply the area and perimeter formulas for rectangles in real-world and mathematical problems.

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Make a line plot to show measurements of fractions of a unit.

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4.MD.C. Geometric measurement: Understand concepts of angle and measure angles.

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4.MD.C. Geometric measurement: Understand concepts of angle and measure angles.

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Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement.

Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.

Solve addition and subtraction problems to find unknown angles on a diagram in realworld and mathematical problems.

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Make a line plot (dot plot) to show a set of measurements in fractions of a unit.

Solve problems involving addition and subtraction of fractions by using information presented in line plots (dot plots).

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4.MD.C. Geometric measurement: Understand concepts of angle and measure angles

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4.MD.C. Geometric measurement: Understand concepts of angle and measure angles

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Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement.

Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.

Solve addition and subtraction problems to find unknown angles on a diagram in realworld and mathematical problems.

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4.G.A. Draw and identify lines and angles, and classify shapes by properties of their lines and angles

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4.G.A. Draw and identify lines and angles, and classify shapes by properties of their lines and angles

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Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

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. 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.

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4.NBT.B. Use place value understanding and properties of operations to perform multi-digit arithmetic on whole numbers

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4.NBT.B. Use place value understanding and properties of operations to perform multi-digit arithmetic on whole numbers

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Fluently use the standard algorithm for multi-digit whole-number addition and subtraction.