4th Grade Math

Data & Graphing:(NC.4.MD.4)

In this unit students will represent and interpret data using whole numbers.  They collect data by asking a question that yields numerical data, make a representation of data and interpret data in a frequency table, scaled bar graph, and/or line plot, and determine whether a survey question will yield categorical or numerical data.  (NC.4.MD.4)

Students will be able...

• • Generate data by formulating a question(s). (NC.4.MD.4)

  • Determine whether a survey question will yield categorical data or numerical data. (NC.4.MD.4)

  • Collect and represent data (frequency tables, scaled bar graphs, and/or line plots). (NC.4.MD.4)

  • Analyze and interpret data given in a table or graph (NC.4.MD.4)

  • Apply knowledge of computation skills (within 1,000) when asking and answering questions about the data. (NC.4.MD.4, NC.4.NBT.4) 

In this unit, students explain that in a multi-digit whole number, a digit in one place represents 10 times as much as it represents in the place to its right.  They read, write, and compare whole numbers up to and including 100,000.  Students add and subtract multi-digit whole numbers using the standard algorithm with place value understanding, solve two-step word problems, and use estimation strategies to assess the reasonableness of answers.  This is the first year that mastery of the standard algorithm of addition and subtraction is an expectation 

Students will be able to...

• Read, write and name multi-digit whole numbers in standard, expanded, and word form.(NC.4.NBT.2)

• Connect the expanded form to understandings of place value. (NC.4.NBT.1, NC.4.NBT.2)

• Compare two multi-digit numbers up to 100,000 using the symbols <, >, =. (NC.4.NBT.7)

• Write comparisons in number sentences using greater than, less than or equals symbol (NC.4.NBT.7)

• Use the standard algorithm to add and subtract numbers in the context of one and two step word problems within 100,000. (NC.4.NBT.4)

• Use the four operations to solve two-step word problems (NC.4.OA.3)

• Anticipate and assess the reasonableness of solutions through estimation.   (NC.4.OA.3)

Represent unknown quantities in number sentences with a letter (NC.4.OA.3)

In this unit students add and subtract fractions with like denominators (including mixed numbers), decompose a fraction into a sum of unit fractions, multiply a whole number by a fraction less than one, add two fractions with denominators of 10 and 100, and solve word problems within these contexts. 

Students will be able to...

• • Justify decompositions of fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100. (NC.4. NF.3)

  • Use equivalent fractions and/or properties of operations to add and subtract fractions with like denominators, including mixed numbers (NC.4.NF.3).

  • Solve word problems involving addition and subtraction of fractions with like denominators, including mixed numbers (NC.4.NF.3)

  • Compose/decompose a fraction into a sum of unit fractions and a sum of fractions with the same denominator in more than one way using area models, length models, and equations (NC.4.NF.3)

  • Solve word problems involving multiplication of a fraction by a whole number. (NC.4.NF.4)

  • Write a number sentence to match visual representations of a whole number multiplied by a unit fraction. (e.g. show 3 x ¼ = ¾ using a model and write an appropriate number sentence matching the model, ¾ = ¼ + ¼ + ¼) (NC.4.NF.4)

  • Use repeated addition as a strategy for multiplying a whole number by a fraction (NC.4.NF.4) 

  • Use equivalent fractions to add two fractions with denominators of 10 and 100. (NC.4.NF.6)

  • Solve addition of decimals problems using understanding of equivalence, concrete decimal models, and using decimal notation. (NC.4.NF.6) 

In this unit students draw and identify points, lines, line segments, rays, angles, perpendicular and parallel lines, and classify quadrilaterals and triangles based on angle measure, side lengths, and the presence or absence of parallel or perpendicular lines.  They recognize, identify, and draw lines of symmetry, and generate and analyze a number or shape pattern that follows a given rule.  Students develop an understanding of angles and angle measurement, including understanding that angles are geometric shapes formed where two rays share a common endpoint, measure and sketch angles using a protractor, and solve problems involving angles. 

• • Identify points, lines, segments, rays, angles, parallel and perpendicular lines. (NC.4.G.1)

  • Use tools to draw points, lines, segments, rays, angles, parallel and perpendicular lines. (NC.4.G.1)

  • Identify and classify quadrilaterals and triangles based on angle measure, side lengths, and the presence or absence of parallel or perpendicular lines. (NC.4.G.2)

  • Identify and draw lines of symmetry. (NC.4.G.3)

  • Identify and draw right, acute, obtuse, and straight angles. (NC.4.MD.6)

  • Use a protractor to measure and draw angles. (NC. 4.MD.6)

  • Solve for the unknown angle measures. (NC.4.MD.6)

  • Estimate to assess reasonableness of the angle measure (NC.4.OA.3) 

IIn this unit students know the relative sizes of metric measurement units including centimeter, meter, gram, kilogram, liter, and milliliter, and solve one-step word problems involving these measurements.  They convert metric measurements from a larger unit to a smaller unit using place value understanding, two-column tables, and length models, as well as solve addition and subtraction problems of time intervals that cross the hour.  Additionally, they use decimal notation to represent fractions, compare two decimals to hundredths, and generate and analyze a number pattern. 

• • Solve problems involving metric units. (NC.4.MD.1)

  • Convert metric measurements from a larger unit to a smaller unit (meter to centimeter, kilogram to gram, liter to milliliter). (NC.4.MD.2)

  • Add and subtract time across the hour. (NC.4.MD.8)

  • Represent 1/10 and 1/100  as decimals. (NC.4.NF.6)

  • Make estimates and assess the reasonableness of those estimates during the process of measuring and make adjustments. (NC.4.OA.3)

  • Generate and analyze numeric patterns using a conversion table. (NC.4.OA.5)