5th Grade Math

Convert among units and use conversions to solve problems
Lesson Sets5.MD.1
1. Select appropriate measurement conversions5.MD.1

2. Solve real world distance problems with unit conversions5.MD.1

3. Solve real world liquid volume problems with unit conversions5.MD.1

4. Solve real world mass problems with unit conversions5.MD.1

5. Solve real life problems involving multiple unit conversions5.MD.1


Solve problems involving measurement data in fractions of a unit displayed in line plots
Lesson Sets5.MD.2
1. Solve multistep problems using information in a line plot5.MD.2

2. Solve multistep addition and multiplication problems using informa...5.MD.2

3. Redistribute items equally using the information in a line plot5.MD.2

4. Use the information from more than one line plot to solve problems5.MD.2


Understand volume
Lesson Sets5.MD.3, 5.MD.3b, 5.MD.4, 5.MD.5
1. Identify and label threedimension figures5.MD.4

2. Identify the difference between a square unit and a cubic unit5.MD.3

3. Find volume by counting cubes5.MD.3b

4. Find volume by multiplying the base by the height5.MD.5

5. Find volume by multiplying length x width x height5.MD.5

6. Find missing edge lengths on composite 3D prisms5.MD.5

7. Recognize that volume is additive by finding the volume of a 3D fig...5.MD.5


Relate volume to multiplication and division
Lesson Sets5.MD.5, 5.MD.5a, 5.MD.5b, 5.MD.5c
1. Use multiplication (V = l x w x h) to find the volume of a solid fi...5.MD.5b

2. Find the volume of a solid figure using the base x height formula (...5.MD.5b

3. Use volume to understand the associative property of multiplication5.MD.5a

4. Compare rectangular prisms with different dimensions using the volu...5.MD.5

5. Explore volume of prisms by scaling dimensions5.MD.5

6. Find the missing dimensions of 3D figures using the volume formula5.MD.5b

7. Find the volume of complex rectangular prisms5.MD.5c


Understand parentheses, brackets, or braces in numerical expressions
Lesson Sets5.OA.1
1. Interpret parentheses as "do this first"5.OA.1

2. Add parentheses to an expression to make it easier to solve5.OA.1

3. Change the value of an expression by moving parentheses5.OA.1

4. Make an equation true by placing parentheses correctly5.OA.1

5. Write a mathematical expression using parentheses to represent a re...5.OA.1


Write, interpret, describe, and reason about expressions

Generate and analyze patterns and relationships

Recognize the value of digits in a multidigit number
Lesson Sets5.NBT.1
1. Determine the value of a digit in the thousandths place5.NBT.1

2. Understand that place value increases ten times with each shift to ...5.NBT.1

3. Use number lines to show increases in place value with each shift t...5.NBT.1

4. Use base ten blocks to understand how place value decreases with ea...5.NBT.1

5. Use number lines to show decreases in place value with every shift ...5.NBT.1

6. Recognize place value relationships by multiplying and dividing by ten5.NBT.1


Explain patterns in zeros when multiplying or dividing by a power of ten
Lesson Sets5.NBT.2 
Read and write decimals to the thousandths

Compare two decimals to thousandths using >, =, and <

Multiply multidigit whole numbers using the standard algorithm

Find whole number quotients with up to 4digit dividends and 2digit divisors
Lesson Sets5.NBT.6
1. Divide 4digit dividends by 2 digit divisors by setting up an equa...5.NBT.6

2. Divide 4digit dividends by 2 digit divisors by estimating and adj...5.NBT.6

3. Use an area model for division of 4digit dividends by 2digit divi...5.NBT.6

4. Divide 4digit dividends by 2digit divisors by using a rectangular...5.NBT.6

5. Divide 4digit dividends by 2digit divisors by using expanded nota...5.NBT.6


Add and subtract decimals to hundredths

Multiply and divide decimals to hundredths
Lesson Sets5.NBT.7
1. Multiply decimals to the hundredths by using fractions5.NBT.7

2. Multiply decimals by whole numbers by using an area model5.NBT.7

3. Use multiplication to multiply decimals by decimals5.NBT.7

4. Multiplying whole numbers and decimals using an area model5.NBT.7

5. Divide decimals by using fair sharing5.NBT.7

6. Divide decimals by using a number line5.NBT.7

7. Divide decimals using knowledge of multiplication5.NBT.7


Understand and plot points on coordinate planes
Lesson Sets5.G.1, 5.G.2
1. Use a model to identify parts of a coordinate plane5.G.1

2. Plot points on a coordinate plane5.G.1

3. Read coordinates of a point on the coordinate plane5.G.1

4. Find distance between points on a coordinate plane by counting5.G.2

5. Move a point and describe its location on a coordinate plane5.G.2

6. Determine the shortest distance between two points on a coordinate ...5.G.2

7. Draw a shape on a coordinate plane5.G.2


Understand categories and subcategories of twodimensional figures

Classify twodimensional figures based on properties

Add and subtract fractions with unlike denominators
Lesson Sets5.NF.1
1. Find common denominators by creating area models5.NF.1

2. Add fractions with unlike denominators by creating area models5.NF.1

3. Subtract fractions with unlike denominators by creating area models5.NF.1

4. Add mixed numbers with unlike denominators by creating area models5.NF.1

5. Subtract mixed numbers with unlike denominators by creating area mo...5.NF.1


Solve word problems involving addition and subtraction of fractions with unlike denominators
Lesson Sets5.NF.2
1. Use benchmark fractions to determine the reasonableness of an answer5.NF.2

2. Find common denominators by using number lines5.NF.2

3. Write equations to solve word problems by determining the important...5.NF.2

4. Solve word problems involving the addition and subtraction of fract...5.NF.2

5. Solve word problems involving the addition and subtraction of mixed...5.NF.2


Assess the reasonableness of answers to word problems involving the addition and subtraction of fractions
Lesson Sets5.NF.2
1. Estimate answers to problems involving fractions using area models5.NF.2

2. Estimate answers to problems involving fractions using number lines5.NF.2

3. Use area models to assess the reasonableness of answers to problems...5.NF.2

4. Use benchmark fractions to assess the reasonableness of answers to ...5.NF.2

5. Estimate mentally to assess the reasonableness of answers to proble...5.NF.2


Interpret fractions as division and solve problems leading to answers in the form of fractions
Lesson Sets5.NF.3
1. Interpret fractions as division of the numerator by the denominator...5.NF.3

2. Interpret fractions as division of the numerator by the denominator...5.NF.3

3. Use picture models to divide whole numbers leading to answers in th...5.NF.3

4. Use picture models to divide whole numbers leading to answers in th...5.NF.3


Multiply fractions by whole numbers and interpret the products

Find the area of a rectangle with fractional side lengths
Lesson Sets5.NF.4b
1. Find the area of a rectangle with fractional side lengths by tiling5.NF.4b

2. Find the area of a rectangle by multiplying a fraction and a whole ...5.NF.4b

3. Find the product of a whole number and a fraction by using area models5.NF.4b

4. Find the product of a fraction and a mixed number by using area models5.NF.4b


Interpret multiplication as scaling
Lesson Sets5.NF.5a, 5.NF.5b
1. Interpret multiplication as scaling using visual models5.NF.5a

2. Understand multiplication by a fraction equivalent to one5.NF.5b

3. Understand multiplication by a fraction greater than one5.NF.5b

4. Understand multiplication by a fraction less than one5.NF.5b

5. Solve multiplication word problems by comparing the size of the pro...5.NF.5b


Solve problems involving multiplication of fractions and mixed numbers
Lesson Sets5.NF.6
1. Multiply a fraction by a whole number using visual representations5.NF.6

2. Multiply a fraction by a fraction using visual representations5.NF.6

3. Multiply fractions by mixed numbers using visual representations5.NF.6

4. Multiply mixed numbers by mixed numbers using visual representations5.NF.6

5. Write equations to multiply fractions and mixed numbers5.NF.6


Divide unit fractions by whole numbers
Lesson Sets 
Divide whole numbers by unit fractions

Solve problems involving division of unit fractions by whole numbers and whole numbers by unit fractions
Lesson Sets