Fifth Grade Math Lessons
The essential questions for fifth grade’s first math chapter is:
When you divide, how do you know if you are finding the number in each equal group or
the number of equal groups?
How can you use base-ten blocks to model and understand how to divide whole
numbers?
How is multiplication used to solve a division problem?
How can solving a simpler problem help you solve a difficult problem?
How can you use repeated subtraction and partial quotients to divide?
How can basic facts and the Distributive Property help you estimate a quotient or
calculate the quotient mentally?
How can you use place value to solve a division problem?
How can you use mental math to solve a division equation?
Fifth graders will continue learning and practicing multiplication and division
skills. Chapter 2 questions are as follows.
How can basic facts and patterns help you divide mentally?
Which methods can you use to divide by 1-digit divisors?
How can you use compatible numbers to estimate quotients?
How can you use base-ten blocks to model division of a 3-digit dividend by a 1-digit
divisor?
How can you tell where to place the first digit of a quotient without dividing?
How do you use the remainder to solve a division problem?
How do you solve and check division problems?
How can the strategy draw a diagram help you solve a division problem?
Fifth Graders will be dividing with two-digit divisors in Chapter 3. The following
questions will guide our lessons and reflections.
How can you use partial quotients to divide by 2-digit divisors?
How can you use compatible numbers to estimate quotients?
How can you divide with 2-digit divisors?
How can you divide by 2-digit numbers?
How can you adjust the quotient if your estimate is too high or too low?
How can I solve problems by using the strategy guess, check, and revise?
How can I estimate to check the reasonableness of the quotient when you divide multidigit numbers using a calculator?
What steps should you use to solve a multistep problem?
Fifth Graders will begin algebra lessons with Chapter 4. The following questions
will guide our lessons.
How do you use an exponent?
In what order must operations be evaluated to find the correct solution to a problem?
How can you use a pan balance to solve an equation with a variable?
How can an equation with addition be solved by using subtraction?
How can an equation with subtraction be solved by using addition?
How can you write and solve addition and subtraction equations in real world situations?
How can you solve a problem by solving a simpler problem?
How can you solve equations with multiplication by using division?
How can you solve division equations by using multiplication?
How can one equation help solve another equation?
What real-world situtations can be described using positive and negative numbers?
How do you compare and order integers?
Fifth Graders will begin working with data and graphs in Chapter 5. The following
questions will guide our lessons.
How is a double-bar graph useful for displaying two sets of data?
What questions can you answer using a double-bar graph?
How can you identify and plot points on a coordinate grid?
In what ways can data be organized and displayed?
How can you use a line graph to display and analyze data?
What is the difference between continuous data and discrete data?
Which type of graph is appropriate for displaying discrete data and which for displaying
continuous data?
How does drawing and using a Venn diagram help you solve problems?
How can a line graph be used to describe a relationship?
What do you need to do to construct a graph of a relationship?
Fifth Graders will work with initial fraction lessons in Chapter 6. Focus will be on
adding and subtracting fractions with like denominators, identifying greatest
common factors, prime and composite numbers, divisibility rules, and renaming
fractions.
By the end of the chapter, students should be able to accurately respond to the
following questions:
How can you use models to add fractions with like denominators?
How can you use models to subtract fractions with like denominators?
How can you tell if a number is divisible by 2, 3, 4, 5, 6, 9, or 10?
How can you tell whether a number is prime or composite?
How can you find all the prime factors of a number?
How can you find the greatest common factor of two numbers?
How can you solve a problem by making a list?
How can you rename fractions greater than 1 as mixed numbers and rename mixed
numbers as fractions greater than 1?
How can I add and subtract fractions with like denominators?
How can I add and subtract mixed numbers with like denominators?
How can you rename a mixed number to subtract a larger fraction?
How can you add fractions with like denominators using the properties of addition?
Remember, the ThinkCentral link has variety of tools and activities to support these
important concepts.
Fifth Graders are working with fractions in Chapter 7.
How can you use models to add fractions that do not have the same denominator?
How can you use models to subtract fractions that do not have the same denominators?
How can you make reasonable estimates of fraction sums and differences?
How can you find least common multiples and least common denominators?
What are some helpful strategies for finding the least common denominator of pairs of
fractions?
How do you use common denominators to add and subtract fractions?
How can you solve problems by using the strategy guess, check, and revise?
How can you add and subtract mixed numbers with unlike denominators?
How can you rename to find the difference of two mixed numbers?
How can properties help you add fractions with unlike denominators?
Chapter 8 will introduce operations with decimals. The following questions
correspond with our lessons.
How can you use base-ten blocks to model addition of decimals?
How can you use base-ten blocks to model subtraction of decimals?
How can you estimate decimal sums and differences?
How can understanding place value help you subtract decimals?
How can you subtract money amounts from whole dollars?
How can making a table help you organize and keep track of your bank account
balance?
How can you record addition and subtraction of decimals through thousandths?
Which method could you choose to find decimal sums and differences?
Fifth graders will start learning about systems of measurement in Chapter 9. The
following questions correspond with our lessons.
How can you use benchmarks to estimate measurements?
What tools and units would you use to measure length, capacity, and weight or mass?
How can estimation and measurement help you determine a more precise customary
linear measurement?
How can estimation and measurement help you determine a more precise linear metric
measurement?
How can you determine a precise measure with capacity and weight or mass?
How can you determine whether you can use an estimate or need an actual
measurement?
How can you compare and convert customary units of length?
How can you compare and convert customary units of capacity?
How can you compare and convert units of weight?
How can you use multiplication and division to convert metric units of length, capacity,
and mass?
How can you convert and compare units of time?
How can you solve problems using the strategy make a table?
Fifth Graders will begin studying two and three-dimensional with Chapter 10. The
following questions correspond with our daily lessons.
How can you estimate, measure, and draw angles?
How can you identify congruent figures?
How can you use the strategy act it out to approximate whether the sides of a figure are
congruent?
How can you name and compare properties of different polygons?
How can you compare triangles?
How can you compare quadrilaterals?
How can you identify, describe, and classify three-dimensional solid figures?
How can you identify the characteristics of three-dimensional solid figures?
How can you solve problems using the strategy search for a pattern?
How can you build models of prisms and pyramids?
How can you draw and identify different views of three-dimensional solid figures?
Fifth Graders will be learning about area, surface area, and volume in Chapter 11.
The chapter questions are as follows.
How can the area of a rectangle help you find the area of a parallelogram?
How can knowing the area of a rectangle help you find the area of a triangle?
What formula can you use to find the area of a triangle?
How can a parallelogram help you find the area of a trapezoid
What formula can you use to find the area of a trapezoid?
How can you define, describe and determine the surface area of a rectangular prism?
How can you find the surface area of a rectangular prism?
How can you find the volume of rectangular prisms?
How can you use the strategy make a table to compare different rectangular prisms with
the same volume?