4th Grade Math

16. Adding and Subtracting Fractions

NC.4.NF.3 Understand and justify decompositions of fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100.

• Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

• 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. • Solve word problems involving addition and subtraction of fractions, including mixed numbers by writing equations from a visual representation of the problem.

17. Multiplying Fractions

NC.4.NF.4 Apply and extend previous understandings of multiplication to:

-Model and explain how fractions can be represented by multiplying a whole number by a unit fraction, using this understanding to multiply a whole number by any fraction less than one.

18. Fractions as Tenths and Hundredths & Relating Fractions to Decimals

NC.4.NF.6 Use decimal notation to represent fractions. 

• Express, model and explain the equivalence between fractions with denominators of 10 and 100. 

• Use equivalent fractions to add two fractions with denominators of 10 or 100.

19. Compare Decimals

NC.4.NF.7 Compare two decimals to hundredths by reasoning about their size using area and length models, and recording the results of comparisons with the symbols >, =, or <. Recognize that comparisons are valid only when the two decimals refer to the same whole.

20. Data

NC.4.MD.4 Represent and interpret data using whole numbers.  

• 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. 

• Determine whether a survey question will yield categorical or numerical data.

21. Classify 2-D Figures

NC.4.G.2 Classify quadrilaterals and triangles based on angle measure, side lengths, and the presence or absence of parallel or perpendicular lines.