Students consolidate and solidify their understanding of various concepts and skills related to major work of the grade. They also continue to work toward fluency goals of the grade.
Unit Narrative
In this unit, students revisit major work and fluency goals of the grade, applying their learning from the year.
In Section A, students reinforce what they learn about comparing fractions, adding and subtracting fractions, and multiplying fractions and whole numbers. In Section B, they strengthen their ability to add and subtract multi-digit numbers fluently, using the standard algorithm. They also multiply and divide numbers by reasoning about place value and practice doing so strategically.
Here are the times of the runners for two teams.
Which team won the relay race?
runner
Diego’s team, time (seconds)
Jada’s team, time (seconds)
1
2
3
4
In Section C, students practice making sense of situations and solving problems that involve reasoning with multiplication and division, including multiplicative comparison and interpreting remainders. In the final section, students review major work of the grade as they create activities in the format of the Warm-up routines they have encountered throughout the year (Estimation Exploration,Number Talk, and Which Three Go Together?).
The sections in this unit stand alone and are not required to be completed in order. Within a section, lessons also can be completed selectively, without completing prior lessons. The goal is to offer ample opportunities for students to integrate the knowledge they have gained and to practice skills related to the expected fluencies of the grade.
Solve problems involving fraction equivalence and operating with fractions.
Section Narrative
In this section, students solve problems that require multiplying fractions by whole numbers and adding and subtracting fractions with the same denominator.
They apply the reasoning strategies developed in the course and their understanding of fractions and equivalence to compare fractions, add and subtract whole numbers and fractions (including mixed numbers), and find sums and differences of tenths and hundredths.
The lessons also prompt students to reason about fractional quantities in a variety of contexts that invite them to share their own cultural experiences and learn about the experiences of others.
Jada and Lin are making head wraps from African wax-print fabric.
Jada stitches together 5 pieces of fabric that each have a length of yard. Lin stitches together 3 pieces of fabric that are each yard long.
Add, subtract, multiply, and divide multi-digit numbers, using place value understanding.
Section Narrative
In this section, students deepen their understanding of place value and build their fluency in performing operations on multi-digit numbers.
Students begin by practicing the standard algorithm for addition and subtraction. They also attend to potential errors in using the algorithm, particularly when it is necessary to decompose or compose a base-ten unit multiple times, as is the case when subtracting from a number with zeros. Students consider different strategies for approaching multi-digit subtraction, including by leveraging the relationship between addition and subtraction.
To find the value of , Priya and Han set up their calculations differently.
Use both methods to find the difference of 20,000 and 472.
Priya
Han
Next, they practice multiplying and dividing multi-digit numbers, using algorithms that involve partial products and partial quotients. In both cases, students analyze and make connections across different methods of recording the process of multiplication and division. The work here prepares students to study the standard algorithms for multiplication and for division more closely in grade 5.
Here are two ways to find .
In Method A, where do the 4, 30, 80, and 600 come from?
In Method B, which two numbers are multiplied to get 34? 680?
In this section, students practice solving real-world problems using multiplication and division. Throughout the section, students reason with mathematics in different ways. They look for ways to compare quantities, using addition or multiplication. They make estimates to simplify a problem or to assess the reasonableness of a statement or a value before and after performing calculations. They also continue to reason with diagrams and equations, connecting these representations and the solution to a problem back to the context of the problem.
Table. 6 rows, 4 columns. First row. blank, Bermuda, cost in Bermuda is blank as in India, India. Second row. a meal with drink, 1 person in parenthesis, blank, 12 times as much, 2 dollars. Third row. Gasoline, 1 gallon in parenthesis, 8 dollars, 2 times as much, blank. Fourth row. Brand-name jeans, blank, 2 point 5 times as much, 31 dollars. Fifth row. Men's leather shoes, 1 hundred 43 dollars, 4 times as much, blank. Sixth row. Internet connection, blank, 14 times as much, 13 dollars.
Students encounter problems that involve division and multiplication with large numbers, but are not expected to divide by multi-digit divisors. All problems can be reasoned and estimated by multiplication, by rounding, and by relating the quantities to nearby multiples of 10 or 100. In one lesson, students have the opportunity to formulate their own problems given a context and some parameters about the situation.
Review the major work of the grade by creating and designing instructional routines.
Section Narrative
Throughout the course, students have engaged in Warm-up routines such as How Many Do You See?, Exploration Estimation, Which Three Go Together?, True or False, and Number Talk. This section enables them to apply the mathematics they have learned to design warm-ups that incorporate some of these routines.
Each lesson is devoted to a particular routine. Students begin by completing at least two partially created tasks, each with more parts to complete than the previous one. Students practice anticipating responses that others might give to the prompts they pose.
Decide on a fourth figure to complete the Which Three Go Together?
For each group of 3 figures, discuss one reason why they go together.
Along the way, students gain the skills and insights needed to create an activity from scratch or with minimal scaffolding. In each lesson, students have the option to facilitate their activity with another group in the class.