SKU: 34427912840

Singapore Math Dimensions Math Textbook 8B

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Singapore Math Dimensions Math Textbook 8BDimensions Math Textbook 8B Chapter 8: Graphs of Linear and Quadratic Functions 8. 1 Linear Function A. Idea of Functions B. Linear Functions C. Rate of Change 8. 2 Graphs of Quadratic Functions A. Graph of y = ax2 + bx + c, where a > 0 B. Graph of y = ax2 + bx + c, where a < 0 In a Nutshell Review Exercise 8 Extend Your Learning Curve Write in Your Journal Chapter 9: Graphs in Practical Situations 9. 1 Tables, Charts and Graphs 9. 2 Distance Time

Dimensions Math® Textbook 8B

Chapter 8: Graphs of Linear and Quadratic Functions

8.1 Linear Function

A. Idea of Functions 
B. Linear Functions
C. Rate of Change

8.2 Graphs of Quadratic Functions

A. Graph of y = ax2 + bx + c, where a > 0 
B. Graph of y = ax2 + bx + c, where a < 0

In a Nutshell 
Review Exercise 8
Extend Your Learning Curve
Write in Your Journal

Chapter 9: Graphs in Practical Situations

9.1 Tables, Charts and Graphs
9.2 Distance-Time Graphs

In a Nutshell 
Review Exercise 9 
Extend Your Learning Curve 
Write in Your Journal

Chapter 10: Pythagorean Theorem

10.1 Pythagorean Theorem 
10.2 The Converse of Pythagorean Theorem

A. Definition 
B. Determination of Right-Angled Triangles

10.3 Applications of Pythagoras Theorem

In a Nutshell 
Review Exercise 10 
Extend Your Learning Curve 
Write in Your Journal 

Chapter 11: Coordinate Geometry

11.1 Distance Between Two Points 
11.2 Slope of a Straight Line 
11.3 Equation of a Straight Line

In a Nutshell 
Review Exercise 11 
Extend Your Learning Curve 
Write in Your Journal

Chapter 12: Mensuration of Pyramids, Cylinders, Cones and Spheres

12.1 Pyramids

A. Introducing Pyramids 
B. Nets and Surface Areas of Pyramids 
C. Volumes of Pyramids

12.2 Cylinders

A. Volume and Surface Area of a Cylinder

12.3 Cones

A. Introducing Cones
B. Net and Surface Area of a Cone 
C. Volume of a Cone

12.4 Spheres

A. Introducing Spheres 
B. Volume of a Sphere 
C. Surface Area of a Sphere

In a Nutshell 
Review Exercise 12 
Extend Your Learning Curve 
Write in Your Journal

Chapter 13: Data Analysis

13.1 Organizing Data in Frequency Tables 
13.2 Bar Graphs and Histograms

A. Bar Graphs 
B. Histograms

13.3 Line Graphs and Scatter Plots

A. Line Graphs 
B. Scatter Plots

In a Nutshell 
Review Exercise 13 
Extend Your Learning Curve 
Write in Your Journal

Chapter 14: More About Quadratic Equations

14.1 Solving Quadratic Equations by Factorization 
14.2 Completing the Square Method 
14.3 Quadratic Formula 
14.4 Graphical Method 
14.5 Applications of Quadratic Equations

In a Nutshell Review Exercise 14 
Extend Your Learning Curve 
Write in Your Journal

Answers 

Click here to view Dimensions Math® Textbook 8B samples. 

Dimensions Math® G6-8 Textbooks are designed for middle school students. Developed in collaboration between Star Publishing and Singapore Math Inc®, this series follows the Singapore Mathematics Framework and covers the topics in the Common Core State Standards.

The emphasis of this series is on empowering the students to learn mathematics effectively and independently. Depending on the topics covered, different approaches are adopted for the presentation of concepts to facilitate easy understanding by students to internalize concepts and instill in them an interest to explore the topics further.

Each book includes appropriate examples, class activities and diagrams to understand the concepts and apply them. IT skills and values are incorporated as appropriate.

Some features of this series include the following:

  1. Class activities which allow the student to learn mathematics through discovery. Some of the class activities make use of Geometer’s Sketchpad (available at keypress.com).
  2. Worked examples are followed by a similar question (Try It!) so that students can check if they have understood the concepts presented earlier.
  3. An exercise for each lesson including questions in the following sequence:
    • Basic Practice (simple questions involving a direct application of the concepts)
    • Further Practice (more challenging questions on direct application)
    • Maths@Work (questions that apply mathematical concepts to real-life situations)
    • Brainworks (questions involving higher order thinking or an open-ended approach to problems)
  4. Each chapter is followed by a review exercise; the Extend Your Learning Curve activity encourages students to explore mathematical concepts further or apply mathematics in real-life situations, with some questions requiring sentence or paragraph answers to encourage students to reflect on their learning experiences.
  5. The right margins contain remarks on important information, concepts or definitions covered earlier related to the current material to help students recall them, discussion questions, interesting puzzles or facts that are related to mathematics, and some website references.

The answer key at the back of the book provides answers to the Try It! and the problems in the exercises for the Basic PracticeFurther Practice, and Maths@Work questions. It does not include answers to the class activities or the Extend Your Learning Curve activities. 

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Keke
Alexandria, US
★★★★★ 5
TLDR product abides by the SCCS's standards, makes my teeth less sensitive, just too expensive
Size: 3 Ounce (Pack of 1), Set name: Adult Mint Extra Strength, Size: 3 Ounce (Pack of 1), Set name: Adult Mint Extra Strength
This review is very important for me to write, as researching products for health typically stresses me out immensely when there is conflicting information. Nano-hydroxyapatite toothpaste is no exception to this, so if I can save someone some time and stress in this age of overwhelming, conflicting medical information, I will. I don't use fluoride and was using Tom's toothpaste for a while. My tooth chipped on a mug (second time in my life), and I started stressing about my teeth being "weak." That was when I began researching how to strengthen them, and learned about remineralization and how fluoride helps with that. I learned about Nano-hydroxyapatite (nanoHAP) as an alternative, and essentially that 10% nanohap in the toothpaste was necessary for efficacy. I ordered an affordable (ish) one on Amazon, we'll call it Brand A, and went about my life. Unfortunately, later on, I learned of concern in the scientific community about nano particles crossing the blood brain barrier, leaking into the bloodstream, and overall just potentially being harmful. I'd already been using the Brand A for 6 months and was afraid of any damage I may have done. I went back to digging. The FDA has not approved nanoHAP in toothpaste as of now, but I haven't always waited for them to catch up to research to try new things when it comes to my health. In this instance, however, I was definitely looking for someone more knowledgeable than me to guide me, as I was overwhelmed and STRESSED (my health is just one big rollercoaster ride, so I burn out quickly when it comes to health decisions.) Finally, I found that the European Commission's Scientific Committee on Consumer Safety made a decision on the safety of nanoHAP in toothpaste, stating: "Based on the data provided, the SCCS considers hydroxyapatite (nano) safe when used at concentrations up to 10% in toothpaste, and up to 0.465% in mouthwash. This safety evaluation only applies to the hydroxyapatite (nano) with the following characteristics: - composed of rod-shaped particles of which at least 95.8% (in particle number) have an aspect ratio less than 3, and the remaining 4.2% have an aspect ratio not exceeding 4.9; - the particles are not coated or surface modified" It turns out, Brand A's nanoHAP toothpaste used needle-shaped (not rod-shaped) particles (NOT good.) I was now on a mission to find a safe nanoHAP toothpaste. In the interim, I switched from the Brand A's nanoHAP toothpaste to Himalaya Botanique's Xylitol toothpaste (no fluoride or nanoHAP.) My teeth and gums became sensitive rather quickly. I was desperate to go back to nanoHAP, but most brands won't disclose the important information in the product pages, or even if you reach out and ask them, i.e. the percentage of nanoHAP (you want 10%), the particle shape (you want rod), etc. I found Himalaya Botanique's extra strength nanoHAP toothpaste (they have a regular one which doesn't advertise it's % - it's only 2.5%.) I decided to email them and see if they'd answer some questions about the product. Much to my relief, they responded with this: "The nano-hydroxyapatite used in Himalaya’s toothpaste complies with the recommendations suggested by the European Union (EU) Scientific Committee on Consumer Safety (SCCS). Please note, this applies to both the shape of the nHA as well as the aspect ratio as recommended by the EU-SCCS. Himalaya’s hydroxyapatite particles are currently nanoparticles < 100 nanometers (i.e., 0.100 microns), with a nano-rod shape having a width between 5-20 nm (typically close to 10 nm) and a length below 50 nm (typically between 30 to 40 nm)." That was good enough for me; I bought it. The sensitivity in my teeth from the xylitol toothpaste went away quickly, so it appears to be effective. It seems to whiten decently, nothing too drastic. I LOVE that the ingredients are all natural, though. It's minty and refreshing. It's not too thick or runny (took a pic trying to show texture and thickness), and my mouth feels clean after brushing. My only, ONLY complaint is the price. That's why I'm docking a star. $19 for a single tube of toothpaste almost feels like elitism. I'm stretching that tube as FAR as it will go. I hope this review was helpful. There are lots of studies you can check out regarding nanoHAP, but I hope I summarized the important parts here. Happy brushing!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on June 26, 2025
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Verified Purchase
IM.
Natrona Heights, US
★★★★★ 5
Great healthier option
Size: 3 Ounce (Pack of 1), Set name: Adult Mint Extra Strength
⭐️⭐️⭐️⭐️⭐️ Himalaya Botanique Whitening with Extra Strength Hydroxyapatite Toothpaste is outstanding. The nano hydroxyapatite truly makes a difference my teeth feel stronger, smoother, and noticeably cleaner after each use. It helps with remineralization and enamel support without being harsh, and the gentle whitening is a nice bonus. I love that it’s vegan and made with clean ingredients, and the mint flavor is fresh without being overpowering. This feels like a premium, effective toothpaste that delivers real results. I would absolutely repurchase.
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Reviewed in the United States on December 30, 2025
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Verified Purchase
Angela W.
San Leandro, US
★★★★★ 4
Good! Works pretty well. Has a couple issues
Size: 4 Ounce (Pack of 1), Set name: Adult Mint
I have wanted to dump Fluoride for decades; however, when I stopped it and used all natural products sans fluoride...my teeth became sensitive...so I went back. Saw this and did slight reading about it. Bought immediately. Ordered a second tube. LOVE IT. No fluoride. No sensitivity. Not really sure that it whitens much so I am now shopping for that. It is pricey, IMHO.
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Reviewed in the United States on August 12, 2025
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Taylor
Alexandria, US
★★★★★ 5
Minty & Whitening Approved!
Size: 4 Ounce (Pack of 4), Set name: Adult Mint
MY FAVORITE fluoride free toothpaste. I still get that slight minty fresh taste and has effectively whitened my teeth as people have noticed and complimented me on.
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Reviewed in the United States on May 1, 2026
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tamir
Houston, US
★★★★★ 5
Phenomenal NHa toothpaste
Size: 4 Ounce (Pack of 1), Set name: Adult Mint
I am fluoride free. It’s toxic AND did you know it oxidizes the tooth from the inside out and actually MAKES your TEETH YELLOW!? Crest even admitted it. Fluorides risks outweigh the teeth benefits but LUCKILY there’s a more superior solution: nano hydroxyapatite for our teeth remineralization needs. It’s safe and proven to be more effective as a remineralizing agent, unlike fluoride which cannot remineralize on its own - it requires the minerals in your saliva to work, so if your saliva isn’t at the optimal levels, it’s useless to teeth. But I have been on a teeth whitening journey - got my teeth whitened at my dentist but I ate a tangerine and they got stained again. (Stupid me. Bye $325!) While I’ve restored the whiteness back with various at home products, it’s been at the expense of my enamel and has caused a lot of sensitivity. Sensodyne was given to me by my dentist but when I saw it visibly yellow my teeth after the dentist’s first bleaching, I went down a rabbit hole to get to the bottom of it as to why. Additionally, my enamel has been getting more and and more clear, and I needed this to be addressed. NHa has been proven to restore enamel which treats tooth sensitivity instead of just numbing the nerves with potassium nitrate like Sensodyne does which treats the symptom and not the cause (tooth demineralization, sigh… such a western medicine move). When I bought this for the first time I was immediately pleased - there’s NO scary flavor (if you’ve ever tried *natural* toothpastes, especially ones of India, You KNOW!). There’s no cardamom or other cinnamon or out of the ordinary flavors here. The consistency is that of normal toothpaste. Great foaming action. Has helped my sensitivity in 2 applications, I’m 100% without sensitivity but even better, my teeth my are less clear. This truly restores enamel. But, here’s my gripes. #1 - I have no idea how much hydroxyapatite is in this. I know it works, but as a consumer, I deserve to know what % of the star ingredient is used in a product that I’m specifically buying it for. #2 - the toothpaste color is… lightish yellow. Think a healthy “mucus yellow” - I’m so sorry for the that description, but when I spit up bits of toothpaste in my sink, it looks like boogers. That’s an issue when I’m busy whitening my teeth at home & I’m avoiding eating foods that stain teeth for at least 2 hours after so that my saliva can naturally seal my dental pores that are being blasted open with peroxide. If I brush my teeth after whitening I’m extremely paranoid that I’m pushing YELLOW toothpaste into my porous teeth, and I don’t need to keep driving myself crazy thinking that the NHa is potentially sealing that color in. I also want to be able to put my NHa toothpaste in clean whitening trays to give myself a mineralizing treatment without worrying about it staining my teeth from prolonged/concentrated contact. Mind you - this is very paranoid of me to think, but I’ve spent a lot fixing my teeth bleaching then restaining fiasco, so I’m not taking any chances. While I don’t think it’s yellowing my teeth at all, because of the color, I’ll never think it’s whitening them. But don’t let this deter you from purchasing. It helps sensitivity after one use, has shown to make my enamel less clear, and has a normal toothpaste consistency and foams up great. I recommend it.
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Reviewed in the United States on March 20, 2024

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