4th Grade Math

Know relative sizes of measurement units

Solve word problems involving measurement data
Lesson Sets4.MD.2
1. Convert measurements to solve distance problems4.MD.2

2. Convert measurements to solve volume problems4.MD.2

3. Convert measurements to solve weight problems4.MD.2

4. Convert time units to solve time problems4.MD.2

5. Solve real life problems using operations and measurement conversions4.MD.2


Represent measurement quantities using diagrams
Lesson Sets4.MD.2
1. Represent fractional distance measurement quantities using diagrams4.MD.2

2. Represent liquid volume measurement quantities using diagrams4.MD.2

3. Represent weight measurement quantities using diagrams4.MD.2

4. Represent quantities of money by using diagrams4.MD.2

5. Represent quantities of time using diagrams4.MD.2


Apply formulas for area and perimeter
Lesson Sets4.MD.3
1. Use area models to find the area of rectangles4.MD.3

2. Find the area of a rectangle using the standard formula4.MD.3

3. Find missing side lengths using the formula for area4.MD.3

4. Find the perimeter of a rectangle using an area model4.MD.3

5. Find perimeter using the standard formula4.MD.3

6. Find missing side lengths using the formula for perimeter4.MD.3


Create line plots to display data and use line plots to solve problems
Lesson Sets4.MD.4
1. Create a line plot using a data set of fractional measures4.MD.4

2. Interpret data on a line plot by making observations4.MD.4

3. Solve addition problems using data from line plots4.MD.4

4. Solve subtraction problems using data from line plots4.MD.4

5. Solve word problems by creating and interpreting line plots4.MD.4


Understand angles and concepts of angle measurement
Lesson Sets4.MD.5a, 4.MD.5b 
Measure and draw angles using a protractor
Lesson Sets4.MD.6
1. Introduction to protractors4.MD.6

2. Measure angles to the nearest 10 by reading a protractor4.MD.6

3. Measure angles to the nearest degree with protractors4.MD.6

4. Sketch angles that are multiples of 10 degrees using a protractor4.MD.6

5. Sketch angles that are not multiples of 10 degrees using a protractor4.MD.6


Recognize angle measure as additive

Interpret multiplication as a comparison

Solve word problems involving multiplicative comparisons
Lesson Sets4.OA.2
1. Compare numbers using additive and multiplicative comparisons4.OA.2

2. Represent unknown numbers using symbols or letters4.OA.2

3. Solve multiplicative comparison word problems by using bar models4.OA.2

4. Solve multiplicative comparison word problems by using a multiplica...4.OA.2

5. Solve multiplicative comparison word problems by using bar models t...4.OA.2

6. Solve multiplicative comparison word problems by using a division s...4.OA.2

7. Solve multiplicative comparison word problems using multiplication ...4.OA.2


Solve multistep word problems using the four operations

Understand and find factors and multiples
Lesson Sets4.OA.4
1. Find all the factor pairs of a number using area models4.OA.4

2. Determine multiples of a number using area models4.OA.4

3. Find all factor pairs using a rainbow factor line4.OA.4

4. Determine multiples of a number using number bonds4.OA.4

5. Use divisibility rules to determine if a number is a multiple of 2,...4.OA.4

6. Find all factor pairs of a number using a tchart4.OA.4

7. Determine if a number is prime or composite using area models4.OA.4

8. Use divisibility rules to determine if a number is a multiple of 2,...4.OA.4

9. Use divisibility rules to determine if a number is a multiple of 4...4.OA.4

10. Determine multiples of a number using a table4.OA.4

11. Find multiples by using a number line4.OA.4


Generate number or shape patterns that follow a rule
Lesson Sets4.OA.5
1. Find the rule for a function machine using a vertical table4.OA.5

2. Understand repeating patterns4.OA.5

3. Find missing elements in growing patterns4.OA.5

4. Find the 9th shape for a geometric pattern using a table4.OA.5

5. Determine the rule in patterns that decrease4.OA.5

6. Using a table to find the rule for a geometric triangle pattern4.OA.5

7. Extend a fraction pattern using a number line4.OA.5

8. Generate a pattern sequence using a tchart4.OA.5

9. Find the missing inputs for a function machine using a vertical table4.OA.5


Understand multidigit whole number place value

Reading, writing, and comparing multidigit whole numbers
Lesson Sets4.NBT.2
1. Read and write numbers in numeric form4.NBT.2

2. Read and write numbers in word form4.NBT.2

3. Read and write numbers in expanded form4.NBT.2

4. Read and write numbers with zeros4.NBT.2

5. Compare numbers using the symbols <, >, and =4.NBT.2

6. Creating numbers based on given conditions by comparing digits4.NBT.2


Round multidigit whole numbers to any place

Add and subtract multidigit whole numbers using the standard algorithm

Multiply multidigit whole numbers
Lesson Sets4.NBT.5
1. Use an array to multiply a two digit number by a one digit number4.NBT.5

2. Use area models to show multiplication of whole numbers4.NBT.5

3. Use place value understanding to multiply three and four digit numbers4.NBT.5

4. Use an area model for multiplication of twodigit numbers by twodi...4.NBT.5

5. Use an area model to multiply a three digit number by a one digit n...4.NBT.5


Find wholenumber quotients with remainders

Draw and identify points, lines, rays, and angles
Lesson Sets4.G.1 
Classify twodimensional shapes, including right triangles, based on lines and angles
Lesson Sets4.G.2
1. Classify twodimensional figures by examining their properties4.G.2

2. Classify triangles by examining their properties4.G.2

3. Classify right triangles4.G.2

4. Classify various quadrilaterals by describing their properties4.G.2

5. Classify quadrilaterals by examining their sides4.G.2

6. Classify parallelograms by examining their angles and sides4.G.2


Recognize and draw lines of symmetry and linesymmetric figures

Understand and explain equivalent fractions
Lesson Sets4.NF.1
1. Recognize equivalent fractions using area models4.NF.1

2. Recognize equivalent fractions using number lines4.NF.1

3. Generate equivalent fractions using area models4.NF.1

4. Generate equivalent fractions using number lines4.NF.1

5. Generate equivalent fractions by multiplying or dividing by 14.NF.1


Compare fractions by creating common denominators or numerators
Lesson Sets4.NF.2
1. Compare fractions using the benchmark fraction 1/24.NF.2

2. Compare fractions using the benchmark of one whole4.NF.2

3. Compare fractions with different denominators using number lines4.NF.2

4. Compare fractions with different denominators using area models4.NF.2

5. Compare fractions with different denominators using set models4.NF.2

6. Compare fractions by creating common denominators4.NF.2

7. Use a number line to represent a fraction greater than one4.NF.2

8. Represent a fraction greater than one using area models4.NF.2


Compare fractions by using a benchmark number
Lesson Sets 
Understand addition, subtraction, and decomposition of fractions
Lesson Sets 
Add and subtract mixed numbers with like denominators

Solve word problems involving addition and subtraction of fractions with like denominators
Lesson Sets4.NF.3d
1. Add fractions with like denominators by decomposing into unit fract...4.NF.3d

2. Subtract fractions with like denominators by decomposing4.NF.3d

3. Add fractions with like denominators using a number line4.NF.3d

4. Subtract fractions with like denominators using a number line4.NF.3d

5. Add fractions with like denominators using visual models4.NF.3d

6. Subtract fractions with like denominators using visual models4.NF.3d


Understand multiplication of fractions by whole numbers
Lesson Sets4.NF.4a, 4.NF.4b
1. Represent fractions as the sum of unit fractions using pictures4.NF.4a

2. Represent a fraction as the sum of unit fractions using number line4.NF.4a

3. Represent a fraction as the sum of unit fractions using an area model4.NF.4a

4. Estimate products in multiplication of whole numbers and fractions4.NF.4b

5. Use a number line for multiplication of fractions and whole numbers4.NF.4b

6. Use a fraction model for multiplication of fractions and whole numbers4.NF.4b

7. Use repeated addition for multiplication of fractions and whole num...4.NF.4b


Solve word problems involving multiplication of fractions by whole numbers
Lesson Sets4.NF.4c
1. Solve problems involving a fraction and a whole number using repeat...4.NF.4c

2. Solve problems involving a fraction and a whole number using a numb...4.NF.4c

3. Solve word problems involving multiplying a fraction and a whole nu...4.NF.4c

4. Solve problems involving multiplying a fraction and a whole number ...4.NF.4c


Express fractions with denominator of 10 as equivalent to fraction with denominator 100

Use decimal notation for fractions with denominators 10 or 100
Lesson Sets4.NF.6
1. Convert decimals to fractions to the tenths place using number lines4.NF.6

2. Convert decimals to fractions to the hundredths place using visual ...4.NF.6

3. Convert fractions to decimals to the tenths place using visual aids...4.NF.6

4. Convert fractions to decimals to the hundredths place using division4.NF.6


Compare two decimals to the hundredths