Oh, to be a teacher in December. There’s so much joy and laughter and excitement! Admittedly, all that joy and excitement is probably *not* about math, but it is contagious nonetheless. So when you find yourself struggling to keep students on task, making sense of math problems in a way that is productive, but hopefully still fun, try weaving in some meaningful context. This set of fraction word problems involves various “Christmas Tasks” that students can probably relate to. As they make sense of each problem, encourage them to draw pictures or models to show what’s happening and help them solve it. And celebrate their effort as they solve challenging problems even though their minds are likely elsewhere!

Fraction Division: Whole Numbers & Unit Fractions

Each word problem in this set involves division with whole numbers and unit fractions.

Rather than telling students that upfront, or requiring that they write a division equation, simply ask them to solve the problems and then ask if their answer “makes sense.”

If they’re stuck, one of my favorite models for these situations is a bar model.

Using a bar model to represent the whole, students can reason through splitting it into parts, determining how many are in each part and then use that information to answer the question.

Once students have an answer, you might look for an equation to fit the situation. Students might write it with division, or they might find the corresponding multiplication equation.

This is a great way to discuss the relationship between multiplication and division and remind students that they form ‘fact families’ even if one of the numbers is a fraction.

You might even write all the equations for the fact family to really help students see the inverse relationship.

How to Use the Christmas Fraction Word Problems:

This download includes 8 half-page task cards and a student recording sheet.

I recommend printing the task cards on card stock paper and laminating for durability.

If you’d like to use these as a math center, you can print one set of task cards to use again and again.

Another idea is to hang each card around the room or lay them on tables around the room and let students rotate to different problems. You would still only need to print one set of task cards. (You may want to give students a clipboard for their recording sheet if they will be moving around the room).

If you’d like to put students into small groups to work together, you’ll want to print a set of task cards for each group.

However you plan to use the task cards, you will then want to print a recording page for each student. This way they have room to draw pictures or models, show their thinking and record their final solution for each word problem.

Once you have the task cards prepped and recording sheets printed, you are all set!

Included in the Christmas Task Cards Download:

• 8 half-page task cards with Christmas-themed fraction division word problems
• Student recording page for work/answers
• Answer key

I hope this is a useful resource as we head into those challenging days before Christmas break!

Love the idea of fun, seasonal activities for your students? This activity is part of the 5th grade Christmas Math bundle inside my membership, Math Geek Mama+.

Inside Math Geek Mama+ you will find dozens of seasonal math activities, puzzles and games, along with hundreds of other resources you can use to help students practice & make sense of math all year long.

LEARN MORE ABOUT MATH GEEK MAMA+ HERE.

Ready to grab the Christmas fraction task cards? Just use the link below to grab them FREE in my shop!

{Click HERE to go to my shop and grab the FREE Christmas Fraction Word Problem Task Card Activity!}

Looking for more Christmas-themed resources for 5th or 6th grade? Try one of these:

• 2-3 Digit Multiplication Christmas Scavenger Hunt
• Christmas Printable Fraction Board Game
• Christmas Math Logic Puzzles for Kids {FREE!}

The post Christmas Tasks: Division with Unit Fractions & Whole Numbers appeared first on Math Geek Mama.

Sharing My Blessings:

As I finish up 2024 and look back on the year we’ve had, I have so much to be thankful for. Here are just a few things I wanted to share with you:

1. Everyone in my family is healthy.

There have been years where loved ones (or my own kids) have been sick and in the hospital over the holidays. One year we spent Thanksgiving, Christmas AND Valentine’s Day in the hospital (preemie baby). So to have everyone home and healthy is not something that I take for granted.

If you have a family member or loved one sick or in the hospital this holiday season, I know how difficult it is. You are in my prayers!

2. We launched a new hybrid school for homeschool families.

Every season of life is different. We have had seasons of homeschooling & hybrid schooling, and a season at a private school. But as I entered a season of homeschooling high schoolers in a new city, I felt a need for something more. My kids needed community and the blessings of learning from passionate teachers other than me. Since there was no option in our community that fit our needs and goals, we created our own! So I am now teaching 2-days per week at our hybrid school, where all 4 kids also attend.

Though there have been hard days and growing pains (building something from the ground up is HARD!), it has been unbelievably beautiful to come together with 15 other families & see so many kids excited to learn together & forming new friendships.

We have truly been blessed this year and I want to share that with you!

Grab a Math Scavenger Hunt for Your Home or Classroom FREE:

As a way to say, “Thank You,” I am giving away two different classroom scavenger hunts, to hit on different grade levels. Hopefully one of these will be a fun review/practice for your math students!

Each scavenger hunt set is normally $3, but during the “Sharing Our Blessings” event both are available for FREE!

Missing Factors Scavenger Hunt: Grades 3-4

Could your students use some additional practice finding missing factors? This is useful to help them make connections between multiplication and division.

This classroom scavenger hunt includes 10 problems to post around the room. It also includes 2 extra practice worksheets, which you can use for individual review, homework, assessments, etc.

This hunt is designed for 3rd graders who are working on their multiplication facts, but can also be used with 4th graders who need the extra practice/review.

>>>Head to my shop HERE to grab the missing factors hunt while it’s FREE.

Solve 1-2-Step Linear Equations Scavenger Hunt: Grades 6-7

If you teach older students, you might like this scavenger hunt! The setup in the same, but these problems focus on solving 1- and 2-step linear equations. This is a great way to get students up and moving while practicing this essential math skill.

This hunt also includes 10 problems to post around the classroom. In addition, there are 2 extra practice worksheets for individual practice & review.

Use this scavenger hunt with 6th graders who are just learning how to think about algebraic equations, or 7th & 8th graders who struggle and need extra practice with this skill.

>>>Head to my shop HERE to grab the equations hunt while it’s FREE.

(Note: Each scavenger hunt set will only be free through Monday, November 25. Then they will return to regular price).

Enter to Win a $25 TPT Gift Card!

In addition to giving away a free product, I am also giving one lucky teacher a $25 TPT gift card.

This giveaway will also run through Monday, November 25, & you can enter once each day for more chances to win.

Winner will be chosen & notified via email on November 26, so be sure to use an email you will check!

Use the form below to enter the giveaway!

a Rafflecopter giveaway

Explore the Entire Blog Hop for More Freebies & Giveaways!

Ready to stock up on even MORE free products & enter additional giftcard giveaways?

As part of the “Sharing Our Blessings” blog hop, you can grab even more free products from other teachers like me & enter to win 12+ additional $25 gift cards! That’s over $300 in TPT gift cards that are up for grabs!

Use the images below to “hop” to other teacher sites & grab the freebies & enter to win all the giveaways!

And last but certainly not least, have a restful, joy-fill Thanksgiving.

The post Sharing Our Blessings: A Thanksgiving 2024 Blog Hop appeared first on Math Geek Mama.

Geometry in middle school opens up a world of exploration, giving students tools to understand shapes, space, and dimensions—all essential for visual problem-solving. Instead of boring worksheets, hands-on and creative problem solving tasks make these concepts much more engaging and will help with retention. Once students hit middle school, they move beyond simply naming & composing shapes.

Geometry topics cover everything from shape properties and angle relationships to calculating areas, perimeters, and volumes of 2D and 3D figures, as well as applying the Pythagorean Theorem. Building a strong grasp of these topics is crucial for students’ math confidence–and they’ll have more fun while learning!

If you’re ready to explore geometry in engaging, visual and hands-on ways, check out the full list of resources & ideas below. Resources are organized by math concept, making it easier to scan and find what you need.

14 Middle School Geometry Ideas & Resources:

To begin, take a look at some measurement activities, focusing on area, perimeter & circumference with 2D shapes, then find ideas for exploring measurements with 3D shapes.

Exploring 2D Shapes Activities: Understanding Shapes, Measurements & Angles

Explore 2D Shapes with Geoboards: When you’re ready to begin your geometry unit, start by creating, analyzing & calculating with shapes on a geoboard. In this post, you’ll find simple ideas to get started, along with free activity cards.

Explore Triangles with Geoboards & “The Greedy Triangle”: Want to help students understand triangles more deeply (including the triangle inequality theorem)? Create & compare triangles on a geoboard!

Exploring the Angles in Triangles: Dive deeper into triangle relationships as students cut up & measure triangles to discover some amazing triangle theorems.

Area of a Circle Exploration: Ready to dive into circle measurements? This hands-on, visual lesson combines a visual circle with a graphing calculator to consider what the area of a circle really means.

“Pass the Pi” Investigation of the Number Pi: Whether you are exploring circle measurements or just looking for a “Pi Day” activity, this lesson is a great way for students to discover the relationship between the circumference & diameter of a circle.

How Tall is a Building? Indirect Measurement Lesson: Lastly, once your students have learned about similar triangles, a great application is indirect measurement. In this activity, students are guided through using indirect measurement to find the height of their school building.

Exploring 3D Shapes Activities: Nets, Surface Area & Volume

Once students have a solid understanding of 2D shapes & their measurements, it’s time to move to 3D shapes. This opens up a new set of math to explore, and using hands-on discovery activities not only makes math more fun, it will help students better grasp the concepts.

Foldable 3D Shape Nets: Before you can begin measuring & calculating with 3D shapes, you have to understand the shapes themselves! I usually start by allowing students to decorate & fold their own set of 3D shapes using these nets, which we can then refer back to throughout our study of 3D shape properties & measurements.

Explore the Surface Area of Prisms & Cylinders: This hands on activity helps students connect the surface area to the area of each face & come up with their own formula.

Explore the Surface Area of Pyramids & Cones: This activity takes students a step further to explore pyramids & cones & how they are different from prisms.

Which Cup will Hold the Most Hot Chocolate?  As an introduction to the volume of cylinders, you might try this interesting question. This is a great warm-up and an opportunity for students to think about how the width and height affect volume.

Explore the Volume of Prisms & Cylinders: Once again, this activity is hands-on, allowing students to see & discover volume themselves, and make sense of how it differs from surface area.

Exploring Pythagorean Theorem: Hands-On Activities & Real Life Application

Lastly, if your 8th graders are ready to learn all about Pythagorean Theorem & how it can help solve real life math problems involving right triangles. Once they’ve proven, understood and mastered this theorem, they will be ready for more complex calculations in high school geometry class!

Prove the Pythagorean Theorem with LEGO Bricks: This hands-on activity will help students ‘see’ the theorem and understand what all the letters & measurements mean.

Pythagorean Theorem in the Real World: Find two different printable sets to help students actually use and apply this theorem in real life.

• 3 Real World Examples to Explore Pythagorean Theorem
• Pythagorean Theorem Word Problem Task Cards

I hope that gives you lots of engaging, hands-on & creative ways to make geometry come alive for your students! Don’t just list out formulas to memorize. Discover formulas, properties, theorems & more through play & exploration! Have FUN with these middle school geometry ideas!

Want more engaging & creative teaching ideas for your middle school students?

You might want to check out Math Geek Mama+, my all-access membership, which includes hundreds of ready to use materials for grades 5-8. There are even more geometry resources ready for you to download inside Math Geek Mama+.

LEARN MORE ABOUT MATH GEEK MAMA+ HERE.

The post 14 Creative Middle School Geometry Ideas {Tips & Free Resources!} appeared first on Math Geek Mama.

It never fails. Just when I feel students are confident graphing linear equations and have a clear understanding of how the table relates to the graph and the equation relates to slope and y-intercept, they freeze. At least one student will stare at the paper as if they’ve never seen a table or graph in their life. Then they’ll look at me like, “How in the world am I supposed to know what a slope is?!” Sigh.

If you occasionally get that “deer in headlights” look from students when they need to graph a linear equation, I hope you’ll enjoy this set of puzzles. Though they do require a little prep up front, you can keep them on hand for an easy math center or math station whenever you feel students need a ‘refresher.’

Graph Linear Equations Puzzles: Prep-Work

To begin, I recommend you print all 16 puzzles on card stock paper for durability.

NOTE: The first 8 puzzles include equations written in slope-intercept form. The last 8 puzzles can either be easily re-written in slope-intercept or they are written in standard form.

If your students are not ready for the more challenging equations yet, you can print the first 8 puzzles only.

Once printed, laminate the puzzles so you can use them again and again, then cut out the pieces of each puzzle. There are 3 pieces for each puzzle (an equation, a table and a graph).

Once all pieces and puzzles are cut out, mix them up really well and share with students!

Plus, to make checking the solutions super easy for you (or students!), a single page ‘quick check’ answer key is included of all 16 puzzles.

Print this page as well if you’d like to use it for a quick scan of their matches.

Ideas for Using the Linear Equation Puzzles in Class:

• Math Center: If you have regular math center or stations in your class, this makes a great center option.
• Choice Board: If you provide students with a choice board, you could include the puzzles as a choice board option.
• Small Groups: If you would like all students in the class to work on the puzzles together, you can create 3-4 sets of puzzles and they let students work in small groups to match the pieces and discuss together.
• Bulletin Board Display: Lastly, you can print the puzzles on plain white paper, cut out the pieces and scatter the tables/graphs around the room. Give each student (or pair of students) an equation and let them ‘hunt’ for the matching table and graph. Once you confirm they have a matching puzzle set, they can glue the completed puzzle onto construction paper to hang on a bulletin board or around your classroom.

If you’re looking for resources to teach & explore linear functions, check out Math Geek Mama+, our ad-free option that includes inquiry lessons, games, digital activities & more to help students make sense of algebra topics like this one.

Plus, you’ll find more engaging and easy to use math center ideas like this one!

LEARN MORE ABOUT MATH GEEK MAMA+ HERE

Ideas for Class Discussion of the Graphing Equations Puzzles:

The goal of this activity is to help students see the connections between an equation, a table and the graph of the equation. So ideally, this activity doesn’t end when students complete the puzzles. If possible, give time for students to share their thinking & strategies for finding matches.

Here are some additional discussion question ideas:

• Where do you see the intercepts in the table? On the graph?
• What is the slope? Where do you see the slope in the table? In the equation? On the graph?
• Would you say the graph is increasing or decreasing? Why?
• What does it mean to be a solution of the equation? Where do you see solutions in the table? On the graph?

Although this seems like a very simple activity, my hope is that it’s a springboard for meaning math conversations, connections and ‘light bulb’ moments for students.

Ready to grab this freebie for your classroom? Use the link below to head to my shop where you can get it free.

{Click HERE to go to my shop and grab the FREE Graph Linear Equations Puzzles Set!}

Looking for more ideas for teaching & exploring linear functions? Check out these:

• Graph Linear Equations: Cut & Paste Pages
• Solve Equations Error Analysis – DIGITAL
• Silly Christmas Riddles: Solve Linear Equations

The post {FREE} Graph Linear Equations Puzzles: Match Equation, Table & Graph appeared first on Math Geek Mama.

If you teach upper elementary or middle school, you are well aware of all the math standards related to decimals and decimal operations. If you are looking for decimal resources to help you teach in a way that builds conceptual understanding, the free resources here are for you!

But as teachers, we also know that practice makes permanent, so you will also find engaging games, low-prep practice, digital activities and more to help your students feel confident anytime they encounter a decimal number. The resources below are organized by math skill, allowing you to check out the decimal activities that meet your current teaching needs.

Click on any of the posts linked in each category below to read more about the activity or resource and grab a copy to use with your students.

Decimal Place Value or Compare Decimals Resources:

Understanding decimal numbers begins with a solid understanding of decimal place value. You’ll also find resources to visualize decimals on a number line, further helping students make sense of decimal values and how to compare/fit in with whole numbers.

From there, students can build their number sense as they compare different decimal values and even compare decimals to fractions.

Lastly, in 7th grade and beyond, students work with a broader range of rational numbers, so the compare rational number sorting activity includes decimals, repeating decimals, fractions and more.

Skittles Math: Place Value Mats: This hands on math activity will help students visualize decimal place value as they begin to make sense of decimals and compare numbers.

Multiply & Divide by Powers of Ten Game: Includes Exponents: This game also includes a place value mat, allowing students to use place value to make sense of multiplying/dividing by powers of ten (so they can see the digits shift, rather than the decimal point).

Even if your kids aren’t ready for the game or writing powers of ten with exponents, you can still use the place value mat to model decimal values and compare numbers.

Decimals on a Number Line Game that Kids LOVE!: This printable game is similar to ‘Battleship’ and is a great way for kids to pair up & see decimals on a number line.

Decimals on a Number Line: DIGITAL Activity for Kids: If you prefer a no-prep, paperless option, this digital drag & drop set of google slides provides practice placing decimal values on a number line.

Compare Decimals Cut & Paste Sort : This low-prep activity allows kids to compare decimal values and practice using the comparison symbols (>, <, =).

Compare Rational Numbers Sorting Challenge : This low-prep activity is similar to the one above, but includes more variety in the rational numbers. Students will compare decimal values, repeating decimals, fractions, integers, etc.

Add & Subtract Decimals Resources:

Once students have a solid place value foundation, they are ready to add and subtract with decimals. Even young kids can begin to add and subtract with decimals and they work with money. Adding money is the perfect real world context for students to start with because they are likely familiar with adding dollars and change.

In this section you will find articles with teaching ideas, real life math activities, hands-on resources and fun games to practice these skills.

How to Add Decimals: Simple Strategies & Tips: If you want to help students form a conceptual understanding of decimals and adding decimal values, this is a great place to start.

{FREE} Adding Decimals Worksheets: Multiple Strategies: To help students make sense of decimal addition, these simple practice pages include multiple strategies all on one page so students can see that whichever visual model or strategy they use, they should get the same answer.

Make a Buck: Unique Adding Decimals Card Game: This game is a fun way to practice those ‘mental math’ skills, and all you need is a deck of cards!

Cupcake Shop: Money Math Problems: This real life math activity is a fun way for students to see the importance of adding decimals in the real world as they find the cost of their cupcakes.

Adding & Subtracting Decimals Partner Challenge: Here’s another idea for helping students see multiple ways to add or subtract decimals and compare strategies.

Add & Subtract Decimals on a Number Line {FREE Printable Number Lines!}: This article explains the value of incorporating number lines to help students add and subtract and includes some free number line practice pages.

{FREE} Adding & Subtracting Decimals Game for Grades 4-6: This printable game would make a great math center when paired with a set of base ten blocks (although the blocks are optional).

Multiply & Divide Decimals Resources:

As always, before jumping straight to standard, traditional algorithms to multiply or divide, I encourage you to help students build on their conceptual understanding of multiplication and division. They can apply their knowledge of multiplication of whole numbers to decimals and see that the skill is not actually anything new or scary.

Incorporating visual models or real life contexts will help students visualize the math, deepen their understanding and make reasonable estimates as they solve problems involving decimals.

Find resources below to help your students understand decimal multiplication and decimal division.

Multiply Decimals with Grids: Cut & Paste Set: To help students visualize decimal multiplication (and see how it relates to multiplying whole numbers), this activity includes grid models for students to match.

Multiply Decimals Classroom Scavenger Hunt: This fun, whole class activity allows kids the chance to get up and move while practice this important skill.

Spin It! Multiplying Decimals Game for Kids: This printable board game would make a great math center that you can use again and again so kids don’t forget how to multiply decimals.

Multiply & Divide Decimals Word Problems Set: This set is a sample from my online course, Making Sense of Word Problems, and includes 27 different problems so students can see decimal multiplication and division in real life contexts.

{FREE} Multiply Decimals Mystery Maze: DIGITAL Activity: If you’re looking for no-prep practice, this digital activity is perfect and self-checking! Students are sure to enjoy this maze challenge.

Digital Pi Day Activity: Decimal Operations Word Problems: If you’re looking for a fun Pi Day activity that weaves in math skills practice, this digital set covers all 4 math operations with decimals.

Convert Between Decimals, Fractions and Percent Resources:

Older students move beyond place value and basic computation with decimals to converting between decimals, fractions and percentages.

This is an important skill because which form of a number is necessary or most beneficial will depend on the problem. This can also help students compare quantities in middle school, because often, converting fractions to decimals or percentages makes them easier to compare.

Below you will find simple games to provide additional practice with converting between fractions, decimals and percentages.

Convert Fractions to Decimals Game: Grades 4-6: This simple board game would make a great math center, allowing students to practice converting fractions to decimals.

Convert Fractions to Decimals & Percent Puzzles: This set of ‘pizza puzzles’ is another activity that you could use as a math center, or for early finishers. Students match equivalent fractions, decimals and percentages.

Valentine’s Day Color by Code: Equivalent Fractions & Decimals: This low-prep activity is a unique way to convert fractions to decimals and create a fun art project at the same time.

Valentine’s Day Fraction and Decimal Conversions Board Game: If you’d prefer something for a math center or small groups, this game is another option with a Valentine’s Day theme.

Hopefully there is something on this huge list that is *just right* for your students, but if not, check back later to see if new resources have been added!

Or you might want to check out Math Geek Mama+, my all-access membership, which includes hundreds of ready to use materials for grades 5-8. There are even more decimal resources ready for you to download inside Math Geek Mama+.

LEARN MORE ABOUT MATH GEEK MAMA+ HERE.

The post 20+ FREE Decimal Resources for Grades 4-6 appeared first on Math Geek Mama.

I find that a lot of textbooks barely skim the surface when it comes time to solve linear inequalities. After all, once students are comfortable solving linear equations, this is just more of the same, right? Wrong! Inequalities are more complex and have greater depth of meaning than equations, and although the algebra involved in solving them may look similar, it takes a lot of work to actually understand what’s going on. Plus, students have to know when to “flip the inequality symbol.” What does that even mean, and why do we do it? But once you’ve done the hard work of sense-making and students are ready to practice, grab these silly riddle pages for Low-Prep Solve Inequalities Practice.

Understanding the Solution to Inequalities:

One of the biggest differences between a linear equation and an inequality is the solution.

In both cases, the solution is the value(s) that make(s) the statement true.

However, most students are used to solving an equation in which exactly one number makes the equation true. (Yes, a linear equation can also have no solution or infinite solutions, but in early middle school students are solving an equation to find exactly one number that makes it true).

An inequality, on the other hand, will have a whole range of numbers that make the statement true.

For example, if the solution is x < 2, that means that the solution is not 2. The solution is ANY number that is less than 2. So it could be 1.9. It could be 0. It could be -100.

It’s important that as students solve inequalities they model the solution on a number line so they can visualize the entire set of numbers that makes the inequality true.

Although this set of riddles practice pages do not include number lines, you may want to have students sketch a number line next to each solution as well so they can show you they understand the solution and what set of numbers is part of the solution.

Solve Inequalities Practice Pages: Easy to Differentiate

This download includes 3 practice pages, gradually increasing in difficulty.

You will find the following inequalities to solve:

• Solve one-step inequalities (use with 6th or 7th grade)
• Solve two-step inequalities (use with 7th or 8th grade)
• Solve multi-step inequalities (use with 8th or 9th grade)

If you have students who are struggling or need to get back to the basics, start with the first page of one-step inequalities.

But if you have more advanced students who are ready for a challenge, let them try the multi-step page! This page includes variables on both sides of the inequality symbol as well as the distributive property.

Plus, as students solve each inequality they can self-check as they look for the solution at the bottom of the page to determine the answer to the silly riddle!

If you’re looking for resources to teach solving inequalities, check out Math Geek Mama+, our ad-free option that includes inquiry lessons to help students make sense of algebra topics such as solving inequalities.

There are visual lessons to help students see and understand what inequalities mean and WHY the inequality symbol flips.

Plus, you’ll find more engaging and easy to use practice pages like this one!

LEARN MORE ABOUT MATH GEEK MAMA+ HERE

Ready to use these riddle pages with your students? Just use the link below to grab it in my shop.

{Click HERE to go to my shop and grab the FREE Solve Inequalities Practice with Silly Riddles!}

Plus, find more resources for solving equations and inequalities at the links below:

• Summer Algebra Review: Solve Equations Practice
• Writing Algebraic Expressions: FREE Practice Pages
• DIGITAL Solving Linear Equations Error Analysis {FREE}

The post Solve Inequalities Practice – Silly Riddles for 7th-8th Grade appeared first on Math Geek Mama.

One of the most challenging topics in middle school math is making sense of rational numbers in all their forms-fractions, decimals, repeating decimals-and knowing how to convert between various forms. Throw in positive and negative signs and things get really crazy! In this simple rational numbers activity, students will use lots of different math skills and strategies to compare rational numbers.

What Are Rational Numbers?

Rational numbers is a set of numbers that includes any number that can be written in fraction form. Thus, every rational number can also be written as a repeating decimal or a terminating decimal (meaning it stops, such as 0.5). Rational numbers also include integers, meaning both positive and negative numbers.

That means rational numbers include many different forms or sets of numbers, such as:

• Positive and negative whole numbers
• Positive and negative fractions and mixed numbers
• Positive and negative decimal values, as long as they either repeat or terminate

Although students begin comparing fractions and decimals as early as 4th grade, 7th or 8th grade students look at much more complex rational numbers. More challenging comparisons are what’s included in this sorting challenge.

Compare Rational Numbers Sorting Activity

This printable activity includes 12 rational number comparisons.

This means students are trying to determine less than, greater than or equal to with each pair of rational numbers.

Some of the problems compare two fractions, some compare a fraction to a decimal, and some compare two decimal values.

Adding to the challenge, some of the numbers are positive and some are negative.

Students should use a variety of strategies to compare the quantities, such as:

• Are both positive or both negative? If one is positive and one negative, they know right away which is larger, regardless of the number forms
• If the numbers are both fractions, they might rewrite them to have common denominators or use other strategies such as comparing each to a benchmark such as 1/2 or one whole
• If the numbers are both decimals, they should pay attention to place value
• If the numbers are in different forms, they can rewrite one so they are in the same form (such as both decimals) or they can compare the a benchmark, or consider place value
• If they’re looking for a visual, they could put the numbers on a number line

The goal is for students to find ways to compare the quantities and then determine how to correctly complete the comparison statement (<, > or =).

How to Use the Rational Number Sort:

This is designed to be a printable cut and paste activity, however there are other options as well depending on what will work best for your students.

Printable Cut and Paste Activity:

To use as a cut and paste activity, print the sorting mat (one per student or one per pair–this works well as a partner activity).

Then print the page of comparison problems. There are two sets per page, so print enough so you have a complete set for each student or pair of students.

Students then cut out each expression, compare the rational numbers and determine if it goes in the “Less Than,” “Equal To,” or “Greater Than” column on the sorting mat.

Encourage them to sort all problems first and then let you check it before they glue the final answer down.

Once students have corrected sorted each comparison statement, they glue them down and they’re done!

Math Center Option:

If you would prefer to prep this one time and use it again and again, you can print the sorting mat on colored card stock paper and laminate for durability.

Then print the comparison statements on another color of card stock paper and laminate. Cut out all the comparison statements to go along with the sorting mat.

Students then work sort the statements onto the mat, but don’t glue them down.

Then store the comparison statements in a ziplock bag along with the sorting mat for another group to use later!

Lastly, one final option is to print the sorting mat and cards on card stock paper. Laminate the sorting mat or place it in a page protector and give students a dry erase marker.

Then students can simply write the comparison statements onto the sorting mat, no cutting or pasting required.

(You can also do it this way as an individual review. Just print a page for each student on regular paper and let them write in their comparisons to turn into you). 

When they finish, be sure they erase their answers from the mat and store the mat and comparison statements for another day.

I hope this provides a helpful challenge as your students learn to work with & compare rational numbers.

If you enjoy this activity, become a Math Geek Mama+ member and gain access to the entire ad-free library of engaging activities like this one, with hundreds of math games, digital practice, and low-prep review worksheets for grades 5-8!

Learn more about Math Geek Mama+ right HERE.

If you’re ready to grab it, use the link below to head to my shop to get a free copy!

{Click HERE to go to my shop and grab the FREE Compare Rational Numbers Sort for 7th & 8th Grade!}

Looking for more rational numbers resources? Check out the links below!

• {FREE} Get Them in Order: Comparing Fractions Game
• Adding and Subtracting Integers {FREE Lesson!}
• Multiply & Divide Integers Lesson {FREE}
• Compare Decimals Cut & Paste Sort {FREE!}

The post Compare Rational Numbers Sorting Challenge – Grades 7-8 appeared first on Math Geek Mama.

Translating words and phrases into “math language” is an important skill because it will help them prepare for algebra and higher levels of math. But getting kids comfortable and confident with that takes time and practice. Whether you’ve got 5th graders working on numerical expressions or 6th and 7th graders writing algebraic expressions with variables, this low-prep and engaging partner challenge is a great warm-up!

What are Expressions?

Before jumping into this activity with your students, be sure you (and they) understand what expressions are.

Here’s a short, helpful definition of a numerical expression:

Numerical expressions are number sentences involving one or more operations.

Some examples include: 5 + 7 or 15/8 + 12 or (16 + 3) x 18

Numerical expressions contain NUMBERS and math OPERATIONS.

What about algebraic expressions? What’s the difference?

Algebraic expressions are similar to numerical expressions in that they include numbers and operations, but they also include at least one VARIABLE, which represents an unknown number.

Some examples of algebraic expressions are: 3x or 9 – 12y or (4 + p) – 15r

The key thing to note is that expressions include numbers and math operation symbols but NO EQUALS SIGN.

When you have two expressions that are equal to each other, it forms an equation. But that’s a post for another day. If you’d like to move on to finding equivalent expressions try this cut and paste equivalent expressions activity.

Introducing Expressions to Students

Although I shared some definitions and examples for you above, I would encourage you to NOT start there with your students.

Instead, give them the chance to think about their own way of translating situations, words and phrases into expressions using this partner challenge.

Walk around the room and listen in on student conversations to hear how they think about the wording and the math. Listen to student disagreements and how they justify their answers.

This will give you insights into what students already know, what they may need help with, and any misconceptions that you need to clear up after they finish the activity.

Writing Expressions Activity: Which Version Will You Use?

To use this in your class, all you need to do is choose which version is best (numeric expressions or algebraic expressions) then print a set for each pair of students.

But which version do you need for your students? Option one includes numerical expressions only. This is best for 5th grade students who are not yet ready to work with or think about variables.

But you might also use this version with older students who struggle with word problems, need further clarification on different math operations or who need a refresher before including variables.

Option two is to help introduce students to writing algebraic expressions. This is a fun warm-up for 6th or 7th grade students before you get into your expressions chapter or unit, or as a quick refresher before working on more challenging expressions and word problems.

If you enjoy this activity, become a Math Geek Mama+ member and gain access to the entire ad-free library of engaging math activities like this one, hundreds of math games and low-prep practice worksheets for grades 5-8!

Learn more about Math Geek Mama+ right HERE.

How to Use the Writing Expressions Partner Activity

To begin, pair students with a partner and print a worksheet for each partner. One student should have ‘Partner A’ and the other student should have ‘Partner B.’

The post FREE Writing Expressions Activity: Partner Challenge – Grades 5-7 appeared first on Math Geek Mama.

What is a ratio? How does it differ from a fraction? Introducing and teaching ratios can be a challenging topic for students to wrap their mind around because it looks like something familiar (fractions) but it’s actually different. Making sense of ratios and proportions takes a lot of exploration & practice and especially looking at problems in context. This set of camping ratio tasks is a good way to have conversations about ratios in real life and how we can use ratios & proportions to solve problems.

Once you’ve completed your chapter or unit on ratios, this ratios task cards review game is a great way to put all their knowledge together and review lots of ratio skills at once.

This free task card activity includes 24 ratios & unit rate task cards. But there’s a twist that makes this more fun than your average task cards set!

Ratios Task Cards Review Game: Skills Covered

Here’s a quick list of ratios related skills students will practice with this task card set.

• Writing ratios
• Equivalent ratios
• Ratios & unit rate word problems

Prep Required for the Ratios Task Cards

To get this ready for your students, start by printing the 24 task cards (4 per page) on card stock paper and print the student recording page (2 per page).

If possible, laminate the task cards for durability.

Cut out all the cards and cut the student answer pages in half.

Then hang the task cards around the room, scatter them on different tables or lay them out on the floor. The key is to put them various places so students are up and moving as they solve the problems!

And that’s it! Now your students are ready for the ratios and unit rate review game.

How to Play the Task Cards Breakout Game

This game is like a combination of a scavenger hunt and an escape room.

The goal is to be the first student who determines the 4-digit code by completing all the task card problems.

To begin, students determine the answer to one of the task card problems.

Each problem includes 4 gems, representing multiple choice answers. When they know the answer, they color in that gem (and record the question number) on their answer sheet.

Once they complete all 24 problems, they add up the total number of each type of gem to reveal the 4-digit code.

The first student to determine the 4-digit code wins!

If you enjoy this activity, become a Math Geek Mama+ member and gain access to the entire ad-free library of engaging games like this one, with hundreds of math games, digital practice, and low-prep review worksheets for grades 5-8!

Learn more about Math Geek Mama+ right HERE.

Tips for Teachers

The post {FREE} Ratios Task Cards Review Game – 6th Grade – Printable appeared first on Math Geek Mama.

Does your child struggle with upper level math? If you’re a middle school teacher, where do you send parents whose child is struggling to understand or has learning gaps?

While there are an abundance of resources available online, it can be difficult to find math programs that are both helpful for struggling students and also enjoyable, especially when you get beyond grade 6.

If you know a child who struggles with math, I invite you to take a look at Mathletics, an award-winning math program for ages 5-16.

(Quick note: As you can see, Mathletics starts at age 5, but since my kids are in middle school/high school, I will be sharing my thoughts & experiences based on those age ranges. I cannot speak to the program for elementary grades).

Please Note: This post is sponsored by Mathletics, but all thoughts & opinions are my own, based on the use of the program by myself & my children. Read our full disclosure policy here.

Mathletics Review: Support Middle School Math Learning

As a homeschool mom, it can sometimes (often!) be a struggle to juggle math lessons with all 4 kids (even as a math teacher, who feels confident with the content and actually enjoys it!).

So lately, my 7th grader has been using Mathletics along with our core curriculum. She is absolutely loving it, and actually asks each day if she can hop on!

Within the Mathletics website, there are activities for her to complete that align to the 7th grade standards. But what I love about this section is that it also includes pertinent review lessons of 6th grade skills that are foundational to the 7th grade material, providing a quick review before moving on to the new content.

I also love that we can jump to any section of the activities that we want. So I can assign a set of problem tasks that reinforce the lessons we are currently covering in our curriculum, providing her with extra practice and support in a way that’s fun.

Her favorite part of the activities so far is the engaging animation on each page. As she correctly answers questions, another action happens in the animation, and she can’t wait to see what it will do next!

For example, one animation showed a hair stylist giving a haircut. As the hair got shorter and shorter with each cut, we both wondered what could possibly happen next. By the time she got to the last question, the dryer lifted to reveal snakes in place of her hair, like Medusa! All the kids thought this was hilarious!

Unique Math Practice with Live Mathletics

Another unique game option is “Live Mathletics.” This allows students to compete with other students from around the world as they answer questions from their grade level.

Not only is my child then practicing math skills, but it’s fun to see the locations of other kids around the world (no faces or identifying information is shared, but you can see what country they’re from).

As a parent, I also appreciate the dashboard because there are a lot of resources available to provide extra support.

I can login at any time to see reports of how my child is doing. There is also a huge library of ebooks, targeting specific math topics. These ebooks are like textbooks and workbooks in one, providing additional teaching support, along with skills practice for students.

Again, this can be a great way to help those struggling students to fill in gaps in their learning or get remedial help and support.

It could also be a great way for students who love math and are looking for a greater challenge to work ahead and push themselves to learn more challenging topics.

Who Is Mathletics For?

Overall, I think Mathletics is a great option for a lot of families, such as:

• Homeschool families- Let one child review & practice with Mathletics while you work one-on-one with a sibling
  
• Struggling students- If you have a child or student who struggles or has gaps in their math learning, Mathletics can be used for additional support & intervention
• Students who thrive in math- If you have a child or student who loves math and wants to get ahead (or just enjoys extra math challenges), they will love the challenge of working ahead and/or competing with other kids around the world in Live Mathletics.

If your kids are older (middle school or high school) and you feel like the math they’re learning is beyond you, or you struggle to give them the help and guidance they need, check out Mathletics.

You can get started with a free trial using the link below to see what you think!

It might just be the tool you need to help your child succeed and thrive!

>Get Started with a FREE 14-Day Trial of Mathletics Today!

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