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Description
Math Lessons for a Living Education: Level 4Finally, a homeschool math curriculum for the real world! Math Lessons for a Living Education 4 brings concepts to life through a Charlotte Mason flavor of engaging stories, copy work, oral narration, hands on experience, and practical application. Equivalent to a fourth grade level. Math Students Love Math Lessons for a Living Education Level 4 teaches math concepts through engaging, real life stories and practical application. In Level 4, a summer
Finally, a homeschool math curriculum for the real world! Math Lessons for a Living Education 4 brings concepts to life through a Charlotte Mason flavor of engaging stories, copy work, oral narration, hands-on experience, and practical application. Equivalent to a fourth grade level.
Math Students Love
Math Lessons for a Living Education Level 4 teaches math concepts through engaging, real-life stories and practical application. In Level 4, a summer spent in Peru has meant a lot of changes for Charlie, Charlotte, and their growing family! Your student joins them as they see new sights on a family trip, explore the role math plays in their adventures, develop important character traits, apply critical thinking skills, and discover how mathematical concepts interact with the world around them.
Math Lessons for a Living Education teaches through:
- Short, story based lessons
- Real life application
- Hands-on activities
- Engaging, full-color worksheets
Learn Smarter
Students learn best and retain more when they are engaged in the material and actively applying concepts to everyday life—Math Lessons for a Living Education engages your student through exciting stories and teaches them how to apply mathematical concepts through everyday life situations—allowing your student to learn smarter instead of harder!
Real Life, Real Math
Math is a living subject that happens all over everyday life! In Math Lessons for a Living Education Level 4 students learn math concepts such as fractions, metric units of measurement, basic geometry, and averaging through exciting, real-world stories and application.
A Unique Approach to Learning
A blend of stories, copy-work, oral narration, and hands-on experience brings the concepts to life, invites the student to explore the world around them, and gives this math course a Charlotte Mason flavor.
In Math Lessons for a Living Education Level 4 your student will learn:
- New Fraction Concepts
- Multiplication with Carrying using 11’s & 12’s
- Measurement
- Division with Remainders
- Decimals
- Geometry
- and so much more!
Math Lessons for a Living Education Level 4 Includes:
- Convenient Daily Schedule—saving you time!
- Short, engaging 15-30 minute lessons
- Full-color worksheets
- Answer key
- Manipulatives section
Course Features:
- Instructional blend of stories, copy work, oral narration, and hands-on experience to bring concepts to life
- Convenient perforated pages
- Recommended for: Grade 4 / 8 – 10 years old
Table of Contents
- Using this Course
- Schedule
- Lesson 1: Review of All Addition and Subtraction Concepts
- Lesson 2: Review of Place Value, Estimation, and Rounding
- Lesson 3: Review of All Multiplication
- Lesson 4: Review of All Division
- Lesson 5: Review of All Fractions and Measurement
- Lesson 6: Review of All Roman Numerals and Shapes
- Lesson 7: New: Fraction Concepts (adding and subtracting like denominators)
- Lesson 8: New: Multiplication with Carrying Using 11’s and 12’s
- Lesson 9: New: Measurement and Geometric Concepts
- Lesson 10: Review of All New Concepts
- Lesson 11: Steps of Division (single digit divisor, no remainder)
- Lesson 12: Number Grouping - Understanding Larger Multiplication
- Lesson 13: More About Division - Including Checking Division
- Lesson 14: Division with a Remainder (single digit divisor)
- Lesson 15: Metric Units of Measure
- Lesson 16: Review of All New Concepts
- Lesson 17: Introducing Mixed Numbers (adding and subtracting with like denominators)
- Lesson 18: Introducing Equivalent Fractions through Pictures
- Lesson 19: More About Equivalent Fractions
- Lesson 20: Larger Number Multiplication with Carrying
- Lesson 21: Review of All New Concepts
- Lesson 22: Writing Decimals and Fractions
- Lesson 23: Money Work with Decimals and Fractions
- Lesson 24: Relationship Between Fractions, Decimals, and Percents
- Lesson 25: Geometry
- Lesson 26: More Geometry
- Lesson 27: Review of All New Concepts
- Lesson 28: Work with Charts and Graphs
- Lesson 29: Constructing Charts and Graphs
- Lesson 30: Introducing Averaging
- Lesson 31: Review of All Addition and Subtraction
- Lesson 32: Review of All Division and Multiplication
- Lesson 33: Review of All Geometry
- Lesson 34: Review of All Measurement
- Lesson 35: Review of All Fractional Concepts
- Lesson 36: Review of All Decimal Concepts
- Manipulative Section
- Appendix
- Solutions Manual
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4.6 ★★★★★
Based on 26 reviews
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Product Reviews
★★★★★ 5
Worth it
Size: 5 Quart, Style: 1 Pack
Expensive but good.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on April 6, 2026
★★★★★ 5
It Works! (Mustang 2016 ecoboost knocking noise)
Style: Modifier
I recently experienced a remarkable transformation in my 2016 Mustang Ecoboost, thanks to the LIQUI MOLY Oil Additive Cera Tec 3721. As someone with a passion for automobiles and a background as a software engineer, I'm always on the lookout for ways to improve my vehicle's performance. This product turned out to be a game-changer.
One of the issues I had been facing with my Mustang was a persistent knocking noise, which can be quite concerning for any car enthusiast. After researching potential solutions, I decided to give LIQUI MOLY Cera Tec 3721 a try. And I must say, I was pleasantly surprised by the results.
The primary reason I opted for this oil additive was its promise of ceramic wear and tear protection. As someone who values the longevity of my vehicles, I wanted to reduce engine friction and wear as much as possible. This product did exactly that. The moment I started using it, I noticed a significant reduction in engine noise, especially the knocking sound that had been bothering me. It provided a smoother engine performance, and the difference was noticeable.
What impressed me even more was the impact on fuel consumption. As someone who loves to travel and has explored six states during my time in the USA, fuel efficiency is a key concern. LIQUI MOLY Cera Tec 3721 not only improved my engine's performance but also led to lower fuel consumption. This means fewer stops at the gas station and more miles of adventure.
Moreover, being a mentor and research assistant, I appreciate the science behind this product. It's clear that LIQUI MOLY has put considerable effort into developing a high-quality additive that benefits both petrol and diesel engines. This is the kind of innovation that I believe will shape the future of the automotive industry.
In conclusion, LIQUI MOLY Oil Additive Cera Tec 3721 has not only fixed the knocking noise in my Mustang but has also enhanced its overall performance. It's a product that aligns with my goal of staying at the forefront of technology and innovation in the IT sector, even when it comes to my car. I highly recommend it to anyone looking to improve engine performance, reduce friction, and achieve better fuel efficiency. It's a small investment with significant returns for your vehicle.
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Reviewed in the United States on October 21, 2023
★★★★★ 5
Skeptical...... to Believer
Style: Modifier, Style: Modifier
I've waited awhile to write this review, to see how time effected my opinion. A little background, my daughter really wanted a 328i, so I went out and found a clean, single owner vehicle with a little over 100k on it. Its the family's first BMW, but as a mechanic I've seen and worked on them all. The BMW N52 engine seems overly complicated for what it does. Power output and economy are just average even though its got just about every bell and whistle including variable valve timing. One thing that struck me was how noisy it was. Kinda like a quiet sewing machine. I changed the oil to Mobil 1 0w/40 Euro blend and she drove it for 7k miles. During this time I read up on all the LL/01 oils for this car, so next oil change I used Castrol Edge, which is LL/01 certified. No difference. Car runs well, still sounds like a sewing machine. 7k more miles go by, and I learn about this CeraTec additive, and decide to give it a try based on all the good reviews. Yup, looks like a Orange Julius!! Well, I dump it it, and take it around the block. Engine seems a little quieter and smoother, but figure its my brain screwing with me. I slam the hood, and give my daughter the keys back, and off she goes.
And here's where it gets interesting.... My 19 year old daughter doesnt know squat about cars. She a 100% gas it up and go girl. So about 2 weeks after the CeraTec goes in we are sitting at the dinner table and she says... " Oh Daddy, I forgot to thank you for tuning up my car". I ask her what makes her think I did? She replies that since the last service its much smoother idling at red lights and its quieter. (Remember, she's driven it for 7500 miles at this point) I asked her how could she tell, as the radio is always at least half volume. She says when its running and she's got the window down ordering at a drive -thru it used to go "tickity-tickity" ( her words)as it echo'ed off the building.. and now its silent. I go out and fire it up and roll down the window and stick my head out.... yup. Silent and verrry smooth. She also has average MPG constantly on display , and its improved about .65 mpg. So, if you add all that up, it seems to work. Liqui-Moly says its lasts 30k miles. I service the car every 7k, so we'll see if this all stays the same after a service, which is coming up soon. The car uses zero oil between services, so I cant comment on that. But from a smoothness, quietness point of view, if my daughter noticed it without me prompting her, I would say thats what made me a believer more than anything. Thanks Liqui-Moly.
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Reviewed in the United States on February 1, 2019
★★★★★ 5
Great product
Style: Modifier
Noticed a more smooth engine idle and less tick noise in my Tacoma. Is a win
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Reviewed in the United States on April 1, 2026
★★★★★ 5
My 2018 Mustang GT BBQ Tick went away but came back.
Style: Modifier
Update 1-26-2019:
The BBQ/Typewriter tick came back this morning. So, I'd say that if you're trying to use the Ceratec to quiet the tick, it will work for a little while, but will eventually return. I don't think there's anything else that can be done to quiet the tick and it's a crap shoot if you get it serviced. In my case, it only ticks during warm up after the transition from high idle, and goes away completely once the entire engine is fully warmed up, so I'm just going to live with it. I'm still giving the Ceratec a 5 because it did reduce my friction enough for a small MPG improvement, so I believe it works as advertised and I'm not going to blame them for not silencing the tick.
Update 1-20-2019:
After a few days with only the one bottle poured in, my tick came back. Since one bottle is only 1/2 the recommended concentration for the 10 quarts in a 2018 Mustang GT, I bought another bottle and added it and the tick is now gone again. We'll see if it lasts. I can tell you that my fuel economy has improved. I have a little over 11,000 miles now and I always display my fuel economy meter and I use it. I've never reset my average fuel economy meter since the day I bought the car new. I've been pretty well stuck at 21.6 MPG for the last couple months. Since I've put in the Ceratec, my average fuel economy has increased to 21.8 MPG, so it's jumped 0.2 MPG in roughly 2 weeks. With over 11,000 miles included in the average, it takes a pretty significant improvement in friction to make that average move that much in that short a time. Even if my tick comes back again, I'm sold on Ceratec for the friction reduction alone. I'll update the review again if the tick comes back.
Original Review:
My 2018 Mustang GT developed the infamous BBQ/Typewriter tick immedaitely after my first oil change. I used Mobil One synthetic at 3500 miles on my first oil change. I did my 2nd oil change at 10K miles with Mobile One, but the tick was still present. After seeing people on YouTube having success eliminating their tick with Ceratec and after reading the one other review of a 2018 Mustang GT owner here on Amazon, I decided to try it.
I ordered 1 bottle. It arrived on a Friday and poured it in immediately after I got home from work. It's an hour drive one way to work, so the engine was at operating temperature, where, in my case, the tick goes away. I only get it when the engine switches from high idle to normal idle after a cold start and the tick is quite loud for at least the 15 minutes it takes for me to get to the drive through where I get my morning coffee, where I can really hear the tick echoing off the wall.
After pouring it in, I started the car and let it idle, but didn't really notice any change. I then took it for a drive and did some hard pulls to get the engine to rev under load to the red line. After that, I put the car in the garage until I drove to work on Monday.
When I went to the drive through to get my morning coffee, there was no tick! It was gone! I listened real hard, but all I could hear was the normal direct injector pump noise. Then, after my hour long drive to work, I left car running and got out to listen. With the hood closed, it was quieter than at any time since I bought it. It was virtually silent. Even the DI pump noise was barely audible. The car also sounded and felt different during the drive to work. The engine seemed like it was smoother somehow. It might have been my imagination, but after the silence in my parking spot at work, I wouldn't be surprised if the engine did run smoother.
At any rate, I only used 1 bottle to treat the 10 quarts of oil, which is half the amount the mfg says to use. So, I'll see how long it lasts, but it definitely worked even at half its normal concentration. I highly recommend it for anyone who has the 2018 Mustang GT tick.
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Reviewed in the United States on January 14, 2019