Computation and Estimation
Focus: Applications of Operations with Rational Numbers
The student will solve singlestep and multistep practical problems involving addition, subtraction, multiplication, and division of decimals. 


Essential Knowledge and Skills 
 Solve singlestep and multistep practical problems involving addition, subtraction, multiplication and division with decimals expressed to thousandths with no more than two operations.

Essential Understandings 
 What is the role of estimation in solving problems? Estimation gives a reasonable solution to a problem when an exact answer is not required. If an exact answer is required, estimation allows you to know if the calculated answer is reasonable.



Vertical Articulation 
 SOL 4.4d  solve singlestep and
multistep add/sub/mult problems
with whole numbers
 SOL 5.4  create/solve single/multistep
practical problems involving
add/sub/mult/div of whole numbers
 SOL 8.3ab  a) solve practical problems
involving rational numbers, percent,
ratios, and prop; b) determine
percent inc/dec

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Practical Problems Involving Decimals (PDF)  Solving practical problems involving decimals (Word)
 Notes: Fraction and Decimal Word Problems (flipchart)  (26 slides) including interactive video, practice word problems
 Activity: Decimal Word Problem Scavenger Hunt with QR Codes (doc)
 Activity: Stations Decimal Review with QR Codes (doc)  4 word problems using QR codes
 Activity: Stations  Decimals (doc)  4 stations practicing decimals (includes QR code answers)
 Activity: 12 Days Before Break (flipchart)  12 interactive practice problems
 Game: Snakes and Ladders Estimation and Computation (flipchart)  21 multiple choice practice problems
 VDOE Algebra Readiness Curriculum Companion: Exploring Decimals (pdf)

Real World Lessons 
 Dan Meyer: Partial Product  What's the total grocery bill?

Practice 
 Worksheet: Decimal Operations Word Problems (doc)  1/2 sheet of 5 practice word problems
 Worksheet: Representations of Numbers (doc)  2 problems representing a number multiple ways
 Worksheet: Which Pair? Number Operations (doc)  4 questions making connections between decimals
 Worksheet: Decimal Word Problems (doc)  10 decimal word problems
 Activity: The Game of Life! (flipchart)  Students choose 5 word problems from the flipchart to find their final answer on the student worksheet.
 Project: Budgeting with Decimals (doc)

SOL Mini Quiz 
 SOL 6.7 Mini Quiz: Decimal Operations (pdf)

Skills 
 Mathematics Assessment Project: E03:A Day Out  Expert  In this task, you must analyze the results of a survey in order to plan a school trip.

Videos 
 Operations with Decimals (mp4)
 YouTube: Word Problems

Explore
Learning 
 Multiplying Decimals (Area Model): Model the product of two decimals by finding the area of a rectangle. Estimate the area of the rectangle first. Then break the rectangle into several pieces and find the area of each piece (partial product). Add these areas together to find the whole area (product).
 Multiplying with Decimals: Multiply two decimals using a dynamic area model. On a grid, shade the region with width equal to one of the decimals and height equal to the other decimal and find the area of the region.
 Sums and Differences with Decimals: Find the sum or difference of two decimal numbers using area models. Find the decimals and their sum or difference on a number line.

Websites 
 BrainGenie: Decimal Word Problems

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Exploring Decimals  The lessons focus on identifying place values, rounding decimals through hundredths, and
performing operations of decimals and writing and solving problems with decimals. (pdf)

Common Core
Standards 
6.NS.3 
7.NS.2c 
7.NS.3 
7.EE.3 
