New Unit — Order of Operations. We have taken a unique approach to enliven Order of Operations for 5th graders. In addition to learning how to evaluate expressions, students also use bar models to visualize number concepts and plan their family vacation. Conceptua Math makes Order of Operations come to life!

Order of Operations Sample Problem


It's Show Time in the City! The unit is anchored in a Real World Investigation about planning family vacations in East Coast cities. Using real data, students get to budget for a Phillies baseball game, a walking tour of the City of Brotherly Love, a Broadway show, and more! Applying understanding of Order of Operations, students write complex formulas for ticket prices that can differ according to age group and discounts.




New Feature — Replay the Last Video. Students can now replay the tutorial videos while completing lessons. These videos have always been strategically placed to provide guidance at the beginning of each new set of problem types. Now students can rewatch the previous tutorial video at any time during the problem set if they feel "stuck" or forget what to do.

Play Last Video Button

 
Try a Lesson Request a Quote
 
 
 

New Unit — Comparison and Multi-Step Problem Solving. In this 5th grade unit, students learn how to represent and solve comparison and multi-step problems involving all four operations. Bar models (interactive tape diagrams) are used throughout the unit to help students organize their thinking, make sense of the mathematics, and visualize each step towards the solution. By the end of the unit, students are able to represent and solve 3-step problems using any combination of required operations.

Bar Models Sample Problem


Exercise and Give! The unit is anchored in a Real World Investigation about raising money for charitable causes. In "Ridgewood School's Exercise-A-Thon," students use their understanding of multi-step problem solving to explore how much money can be raised by completing different numbers of exercises. By the end of the unit, students will be exercising in the classroom and using deep mathematical thinking to calculate the funds they are raising.




New Feature — Replay the Last Video. Students can now replay the tutorial videos while completing lessons. These videos have always been strategically placed to provide guidance at the beginning of each new set of problem types. Now students can rewatch the previous tutorial video at any time during the problem set if they feel "stuck" or forget what to do.

Play Last Video Button

 
Try a Lesson Request a Quote
 
 
 


Division with Decimals Unit

New Unit — Division with Decimals. In this 5th grade unit for Conceptua Math, students build a strong understanding of division with decimals. Students use Base Ten Frames, Vectors on a Number Line, and Open Array models to bridge their visual and conceptual understandings through each guided lesson. By the end of the unit, students apply their number sense to divide decimals resulting in three-digit quotients.


Work at the Zoo! The lessons in this unit are all related to visiting and working at the Zoo. In the Real World Investigation, "Kai's Zoo Gift Shop," students explore issues around price and profit while using their understanding of decimals to help keep the Zoo's gift shop in business.


Feed the Penguins. Watch the video below to get a in-depth overview of this unit's structure, see sample problems, and find out more about what (and how) your students will be learning.

Division with Decimals Unit Overview Video


 


Addition and Subtraction of Large Numbers Unit

New Unit — Addition & Subtraction of Large Numbers. In this new 4th grade unit for Conceptua Math, students gain a deeper conceptual understanding of the base-ten number system while developing skills in addition and subtraction of large numbers.


Conquer the Mountains. The unit's mountain sports theme provides an engaging context in which students learn about mountaineering and create their own plan for climbing the world's 14 tallest mountains.


Master the Tools. Use our free Addition and Subtraction Tools to create your own word problems and engage in free-form explorations of large-number addition and subtraction. Visit the Tool Library >


View the Video. Watch the unit overview video below to learn more about how this unit is structured, see sample problems, and find out what your students will be learning. (Watch to the end for an amazing mountaineering pun!)

Addition and Subtraction of Large Numbers Unit Overview Video

 

New Unit— Multiplication with Decimals. Make sense of multiplication with decimals in this new 5th grade unit. We engage prior knowledge with fractions, introduce a farmers market context, and employ dynamic models. Students move from concepts and contexts to procedures. With the unit's powerful models and cohesive instruction this challenging topic becomes visually and cognitively clear for students at all levels.

Watch the Unit Overview video below:

Click to Watch the Unit Overview Video


Visual Models Bring Clarity to Multiplication with Decimals

Visual models include a skip counting number line, vectors on a number line, and a segmented area model or closed array.
 

Open Array Model Gives Students a Powerful Tool

The open array gives students a powerful computational device, complete with partial products. This model exemplifies the latest research and next-generation standards.
 

Farmers Market Theme Gives Context to Lessons

The farmers market serves as a central theme. If one grape weighs 0.6 ounces, how much do 10 grapes weigh?
 

Students Create Smoothie Recipes in Real World Investigation

Don't forget the smoothies! This unit is anchored in a real world investigation that allows students to create their own smoothie recipes, making the most of multiplication with decimals. Sweet and healthy!
 

New Unit— Understanding Decimals. Students gain a deep understanding of decimals with our new 5th grade place value unit. With an underlying Olympics and fitness theme, students work with decimal values like the time it takes to run a race or the distance a student rides a bicycle to school. Students use visual models that relate decimals to fractions and whole number place value models.

Watch the Unit Overview video below:

Click to Watch the Unit Overview Video


Students Race to Learn about Decimals

Students learn that running 1/4 of the big race is the same as running 0.25.
 

Using Different Models to Visualize Decimals

Students use a variety of models to visualize and represent decimals.
 

A Real World Investigation of Olympic BMX Cycling

This two-week unit is anchored in a real world investigation about the Olympics and BMX cycling. Students research actual Olympic data reported in hundredths of a second.
 

New — Real World Investigation Discussion Guides. Every Conceptua Math unit now features a fully-integrated, multi-part Real World Investigation. These rich tasks include onscreen discussion guides, making them easy for teachers to integrate. Each week, students will enjoy exploring the ways mathematics informs our real-life goals and decisions.

Real World Investigations include Movie Theater and College

Themes include planning a movie theater, saving for college, and more.
 

Real World Investigation Screenshot - Road Trip

Discussion guides give teachers the support they need to facilitate multi-step, high-demand tasks.


Real World Investigations follow a structure to build students' experiences in using mathematics to explain the world around them.

  • Unit Launcher - Each unit starts with a discussion about connecting new learning to real life.
  • Part 1 - Students work with theme-based data.
  • Part 2 - Students add some of their own data.
  • Part 3 - Students provide all of the data, taken from their own lives or imaginations.