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CCSS ID  MathPaths Grade 4 Goals  
CCSS 
NUMBER & OPERATIONS IN BASE TEN


A 
1

Generalize place value understanding for multidigit whole numbers. 
4.NBT.1 
11*

Relate place value to multiplication and division by 10. This may be a new problem type in the curriculum. Multiplying by 10 moves each digit of the number one place to the left, while dividing by 10 moves each digit of the number one place to the right. 
4.NBT.2 
12

Read and write numbers to 1 million. 
4.NBT.2 
13*

Convert between standard and expanded forms of whole numbers. 
4.NBT.2 
14

Compare whole numbers up to 1 million. 
4.NBT.3 
15

Round multidigit whole numbers to any place. 
4.NBT.3 
16

Add and subtract whole numbers using placevalue concepts. 
B 
2

Use place value understanding and properties of operations to perform multidigit arithmetic. 
4.NBT.4 
21

Add multidigit numbers using the standard algorithm. In Grade 3, students used place value concepts but were not required to learn the standard algorithm. 
4.NBT.4 
22

Subtract multidigit number using the standard algorithm. 
4.NBT.5 
23

Multiply 2digit by 1digit numbers using place value and/or models. It is important for students to master multiplication using place value before being introduced to the standard algorithm. Fluency with the multiplication algorithm is not expected until Grade 5. 
4.NBT.5 
24

Multiply 3 and 4digit by 1digit numbers using place value and/or models. 
4.NBT.5 
25

Multiply 2digit by 2digit numbers using place value and/or models. 
4.NBT.6 
26

Relate division and multiplication. 
4.NBT.6 
27

Divide 2digit dividends by 1digit divisors using place value and/or models. 
4.NBT.6 
28

Divide 3 and 4digit dividends by 1digit divisors using place value and/or models. 
CCSS 
NUMBER & OPERATIONS WITH FRACTIONS


A 
1

Extend understanding of fraction equivalence and ordering. 
4.NF.1 
11*

Identify equivalent fractions using models. 
4.NF.1 
12

Write fractions equivalent to a given fraction. 
4.NF.2 
13

Compare fractions by rewriting them with a common denominator. 
4.NF.2 
14

Compare fractions by using models. 
4.NF.2 
15

Compare fractions by comparing to benchmarks. 
B 
2

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. 
4.NF.3ab 
21*

Decompose fractions and mixed numbers, and write as equations. For example, the mixed number 21/4 is equal to 2 + 1/4. The fraction 3/4 is equal to 1/4 + 1/4 + 1/4. 
4.NF.3ab 
22

Add and subtract fractions with like denominators. 
4.NF.3c 
23

Add and subtract mixed numbers with like denominators. 
4.NF.3d 
24

Add and subtract fractions to solve word problems. 
4.NF.4a 
25*

Decompose a nonunit fraction as a whole number times a unit fraction. For example, the fraction 3/4 is equal to 3 x 1/4. 
4.NF.4bc 
26

Multiply fractions by whole numbers. 
C 
3

Understand decimal notation for fractions, and compare decimal fractions. 
4.NF.5 
31

Express fractions in tenths as hundredths. For example, 3/10 is equal to 30/100. Written as decimals, 0.3 is equal to 0.30. 
4.NF.5 
32*

Add fractions in tenths and hundredths. For example, 3/10 + 7/100 is equal to 37/100. This is an important prerequisite for understanding decimals. 
4.NF.6 
33

Convert between decimals and fractions in tenths or hundredths. 
4.NF.6 
34

Locate decimals on a number line. 
4.NF.7 
35

Compare two decimals to hundredths. 
CCSS 
GEOMETRY


A 
1

Draw and identify lines and angles, and classify shapes by properties of their lines and angles. 
4.G.1 
11

Identify and draw points, lines, and line segments. All problem types in this cluster are completely new for Grade 4 and should be mastered at this level. 
4.G.1 
12

Identify and draw parallel and perpendicular lines. 
4.G.1 
13*

Identify and draw rays and acute, right, and obtuse angles. 
4.G.2 
14

Classify and identify triangles by angles. 
4.G.3 
15

Identify and draw lines of symmetry. 
CCSS 
OPERATIONS & ALGEBRAIC THINKING


A 
1

Use the four operations with whole numbers to solve problems. 
4.OA.1 
11

Interpret multiplication as "times as many." 
4.OA.2 
12

Distinguish multiplicative from additive comparison in word problems. 
4.OA.3 
13

Solve number sentences involving multiple operations. 
4.OA.3 
14*

Solve multistep word problems using number sentences. 
4.OA.3 
15

Interpret remainders in division problems. 
4.OA.3 
16

Estimate to assess reasonableness of answers. 
B 
2

Gain familiarity with factors and multiples. 
4.OA.4 
21

List factors pairs for numbers 1 to 100. 
4.OA.4 
22

Recognize factors and multiples. This problem type includes divisibility. 
4.OA.4 
23

Recognize prime and composite numbers. 
C 
3

Generate and analyze patterns. 
4.OA.5 
31

Complete number patterns. 
4.OA.5 
32

Generate number or shape patterns from rules. 
4.OA.5 
33

Identify and explain features of patterns. 
CCSS 
MEASUREMENT & DATA


A 
1

Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. 
4.MD.1 
11

Compare measurement units and convert from larger to smaller units. This is the first year for conversions. The units to learn are km, m, cm; kg, g; lb., oz.; l, ml; hr, min, sec. In Grade 5, students will also convert from smaller to larger units. 
4.MD.1 
12

Create or complete tables of equivalent measurements. 
4.MD.2 
13

Solve problems involving distance, time, and elapsed time. 
4.MD.2 
14

Solve problems involving capacity (liquid volume) and weight (mass). 
4.MD.2 
15

Solve problems involving money. 
4.MD.2 
16*

Represent measurements on number line diagrams. 
4.MD.3 
17*

Solve problems involving area of rectangles. 
4.MD.3 
18

Solve problems involving perimeter of rectangles. 
B 
2

Represent and interpret data. 
4.MD.4 
21

Make line plots using data including fractions. In Grade 3, students measured and plotted fractional lengths to the nearest 1/4 inch. In Grade 4, students should be able to measure to the nearest 1/8 inch. 
4.MD.4 
22

Solve problems involving data shown on a line plot. 
C 
3

Understand concepts of angle and measure angles. 
4.MD.5 
31

Relate degrees to fractions of a circle. Students should memorize that a circle is 360 degrees. To find the angle for 1/4 of a circle, divide 360 by 4. 
4.MD.6 
32

Measure and draw angles using a protractor. 
4.MD.7 
33

Solve problems involving angle measurements. 
*Math card games are available.  Goals and domain icons were developed by Angie Seltzer. Highlighted parts are from Grade 4 CCSS, Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. 