Showing posts with label Favorites. Show all posts
Showing posts with label Favorites. Show all posts

Thursday, May 01, 2025

How to Fail a Test with Dignity

Sometimes, you just can't win.

In that case, there's no harm or shame in surrender. So why not have a sense of humor about it?

These students tried and failed, but succeeded in turning loss into laughs.



























































































































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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Tuesday, April 08, 2025

The Two-Fisted Approach

If you were a boxer, would you rather fight with two hands, or with one tied behind your back? Of course, two hands would be best.

Likewise, a two-fisted strategy in attacking SAT/ACT math questions is superior to a one-dimensional, purely analytical approach. 

Secure command of several key multiple-choice math strategies enables students to correctly answer questions that would otherwise be difficult, time-consuming, or impossible to answer. 

When answering multiple-choice math questions, students always have two options.

Plan A: Do the Math

If math is easy, just do the math. Make drawings. Show your work. Write out all the steps. Internally verbalize your work to avoid careless mistakes.

Plan B: Use a Strategy

If the math isn’t easy, use a strategy! Make it real, and keep it simple.

Dozens of useful strategies can make correctly answering difficult SAT/ACT math questions much easier. Fortunately, it’s not necessary to master them all. A small number of tricks confer most of the benefit:

Sample Values, Try the Answers, Seeing Is Believing, Boil-Down Questions, Choose Your Battles, Two-Pass Approach, GPS for Functions, Joe Average, Thought Experiments, Guessing Machines.

The best way to acquire these powerful test taking tools is to work with an expert coach knowledgeable and accomplished in the strategic approach to test-taking.

I'm happy to help.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Tuesday, April 01, 2025

Advanced Math Tricks

SAT/ACT math sections often contain questions requiring advanced techniques, and students are expected to creatively problem-solve their way out of these unfamiliar boxes (this is especially true of the difficult second module of the SAT).

Although these questions are challenging and unpredictable by nature, two solution methods have emerged that can be studied.

Compound Expressions

These are simple expressions with more than one part. Such questions might ask students to find 4x + y, for example, rather than simply x or y.

When encountering compound expressions questions, students are usually tempted to first find the values of the unknowns, one at a time, and then substitute them into the compound expression itself. But on the SAT/ACT, this is never the best way to solve the problem. It’s faster and easier to deduce a clever way to create the compound expression directly from what’s given.

For example, suppose you’re given that 15n – 5m = 70, and asked to find the value of 3n – m. Noticing the similarity between the left side of the given equation and the compound expression, one sees it’s easy to derive the expression itself directly simply by dividing both sides of the given equation by 5, yielding 3n–m = 14.

Matching Forms

The trick here is to match the form of expression on the right side of a given equation with that on the left, and then equate corresponding terms. The forms typically required on the SAT/ACT are standard quadratic and linear forms.

For instance, suppose we’re given i^2 = -1, a and b are real numbers, and a + b + 5i = 9 + ai, and asked to find b. Both sides can be written in the same linear form: (a + b) +5i = 9 + ai. Since the expressions on either side of the equation showing matching forms are equal, corresponding terms must likewise be equal. Thus a + b = 9 and 5i = ai, which implies a = 5 and b = 4.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Saturday, March 08, 2025

Y1Y2

Inexpensive handheld math computers like the Ti-84 series of graphing calculators came of age in the early 1980s and revolutionized the teaching and learning of mathematics. The youngest child in the family, the Ti-84 Plus CE, is still a standard classroom tool, and a powerful one.

While Desmos is the only graphing calculator tool allowed for use on the SAT, the Ti-84 Plus CE is the best of many calculator option for the ACT. “Y1Y2” is one the most helpful “cool calculator tricks” the Ti-84 Plus CE can perform, leveraging raw computing power to solve equations by graphing.

To solve any equation on the ACT using the Ti-84 Plus CE:

1. Set Y1 equal to the left side of the given equation to be solved, and Y2 equal to the right side. 

2. Hit the graph button, and make sure both graphs appear in the viewing window. 

3. Note the coordinates of the points of intersection. The x-coordinate(s) will be the given equation's real solution(s).

It can sometimes be hard to finagle the graphs of Y1 and Y2 so that both show up in the same viewing window, however.

In that case, carry out the following steps to make viewing both graphs easier,:

1. Remember that since Y1= Y2, Y1–Y2 = 0. 

2. Set Y3 equal to Y1–Y2, turn off Y1 and Y2, and graph Y3 alone. 

4. Real solutions to the original equation will be zeros of Y3. These solutions should now conveniently appear as x-intercepts (adjustment of window variables Xmin and Xmax may be necessary to show both zeros).

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Saturday, March 01, 2025

How to Read SAT/ACT Math Questions

Success in mathematics is rooted in efficient reading. Most math mistakes on the SAT/ACT are, in fact, reading mistakes! Learning to avoid them is an opportunity to quickly and significantly boost scores without learning any new math.

Four simple strategies help ensure students aren’t misreading math questions or failing to catch important information.

The Middle Lane

The most effective way to prevent reading mistakes is to slow down a little. It’s counter-intuitive, but slowing down can actually help one move more quickly through the test, since doing so leads to better comprehension, less confusion and stress, and far less re-reading. All this contributes to stronger SAT/ACT math scores. A comfortable, moderate reading pace is the goal. The middle lane of the freeway. Not too fast, not too slow. Students should no faster than they can fully understand what they're reading. 

Read Party-By-Part

When reading gets tough, the best thing to do is slow down, read each sentence part by part, and make sure you understand each part before going on to the next. Yes, this will take some time. But what’s the alternative? Not fully comprehending the question is the best way to answer it incorrectly. Taking the extra time to read slowly and carefully enough to fully understand the problem, students actually save more time than the strategy costs, even as it greatly improves the likelihood of choosing correct answers. 

Boil-Down Questions

This is another great way to boost comprehension and improve the odds on difficult SAT/ACT math questions. The acronym “RCU” outlines the steps: 

“R” stands for read the question all the way through. 

“C” means circle the main words in the question (i.e. the last sentence, with the question mark). 

“U” reminds us to underline the clues. 

Taking these notes on scratch paper increases awareness of the meat and bones of the question and leads naturally to higher scores.

Point to Get the Point

“Tracking” is a tried and true method for improving concentration and comprehension. 

All you do is your pencil or index finger under the text as you read, and pay close attention to both the meaning of the text and your pointer. 

While this technique precludes reaching maximum reading speed, who cares? As we’ve already pointed out, comprehension is more important than speed on the SAT/ACT math section. Point to get the point!

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Saturday, February 08, 2025

Mastering Desmos for the SAT

A special version of the
Desmos online graphing calculator is included as part of the BlueBook app students use to take the SAT.

Clever use of Desmos on the SAT math section can give a significant boost to scores, but Desmos is as complicated as it is powerful, and many students are unaware of its most helpful features. 

Which Desmos skills are most important to master for use on the SAT? Narrowing the list is critical.

Click here to read my outline of Desmos essentials.

The calculator is no cure-all, however, and the boundaries of its usefulness on the SAT must be kept firmly in mind. Desmos is helpful in solving the following types of problems: basic calculation, and simple data analysis, solving equations and systems, finding intercepts/zeros/max-min values, graphing equations and functions, and finding points along these curve. During the test, students should keep the calculator open but minimized, expanding it when in use.

Desmos is growing in importance in most high school and college math courses. Facility with the calculator beyond beginning levels confers multiple benefits, and taking the time to upgrade one's Desmos skills is highly encouraged. 

Students can progress to the next stage through independent study using targeted Google searches to learn and practice any underdeveloped skills listed in the linked document above.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Wednesday, January 01, 2025

Essential Ti-84 Plus CE Skills

Texas Instrument’s handheld Ti-84 Plus CE graphing calculator is a powerful math computer, the best available calculator for use on the ACT (a different  graphing calculator, Desmos, is featured in the BlueBook app used to take the SAT).

Clever use of the Ti-84 Plus CE can make significantly improve scores on the ACT math test. Unfortunately, the calculator is as complicated as it is powerful, with hundreds of features and functions. Shortening the list is critical.

Which calculator skills are most important?

Click here for my outline of essential Ti-84 Plus CE skills. Students are encouraged to do independent study using targeted Google searches to learn and practice any underdeveloped skills listed in the linked document above.

Graphing calculators like the Ti-84 Plus CE have played an important role in teaching and learning mathematics for decades, and as of this writing, this calculator is still standard technology in high and college mathematics courses.

Mastering the Ti-84 Plus CE beyond beginning levels confers multiple benefits, and is highly recommended.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Friday, November 01, 2024

Seeing is Believing

On the SAT/ACT, test takers are warned figures aren’t necessarily drawn to scale. In recent years, however, questions with misshapen diagrams have become vanishingly rare.

Nowadays, unless a drawing is clearly distorted, students can assume all figures to be scale drawings. And from this can be inferred a tremendously helpful geometry strategy.

Based on the realism of figures drawn to scale, the notion that “seeing is believing” can be used to make good estimates helpful in answering even the most irksome questions.

For example: Angles that seem equal probably are equal. Lines look parallel? Call it true. If one segment appears to be slightly less than half the length of another, that can be assumed.

Known information in geometric figures can thus be used to “ball park” reasonable guesses about unknown information in the same figure, and this is often all it takes to find the correct answer or at least eliminate wildly incorrect ones.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Sunday, September 08, 2024

Scratch Paper Strategies

There are obvious uses for scratch paper on the SAT and ACT. There are other more creative uses for it, as well. 

How about making an improvised ruler and protractor for use in geometry problems? This trick is little known, but perfectly legal. 

Proper use of scratch paper is critical in tackling SAT/ACT math problems. Following is a list of things to keep in mind.

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When “doing the math,” write out all the steps.

Boil-down tough questions by jotting down notes about the clues you're given and what you’re trying to find (circle the main question words, underline the clues).

Write hybrid notes, half math, half English, to help make sense of difficult word problems. 

Keep scratch work neat and organized (mark notes with problem numbers, etc.).

Re-draw on-screen figures for convenience and for illustrating known information.

Ask for more scratch pages, if you need them. 

The SAT allows pens or pencils. Pencils can be mechanical pencils or wooden number 2 pencils. Don’t use mechanical pencils with .5mm lead (best to use .7mm or unbreakable .9mm lead). Bring at least two pens or pencils, in case one breaks.

The ACT only allows wooden number 2 pencils. Pens are prohibited.

Sharp pencils are best for scratch work. Slightly dull ones are better for filling-in bubbles quickly. Bring two of each, in case one breaks.

You'll need a good eraser, one that works and won't dig a hole into your paper.

If you're planning to use your pencils' erasers, first test each one by erasing fresh scribbling on paper. 

However, tiny erasers on pencils can easily break off. It's best to bring a new rectangular eraser or "click" eraser. Make sure to "break in" the one you'll be using by erasing fresh scribbling on paper.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Sunday, September 01, 2024

Concentration Hacks

Done correctly, preparation for the SAT/ACT cultivates essential skills not fostered in class yet vital to success in academia and beyond. One of these is the ability to generate robust, energetic concentration and deliberate, laser-like "winning focus.”

Highly intentional attitude lights up the brain like a Christmas tree, enabling students to think quickly and cleverly, solve problems creatively, and make the utmost of what they already know about mathematics. Maintenance of a sharp, energetic. mindful “winning focus” throughout the test is critical. This is so important that, without such attentiveness, almost nothing else matters.

Creating and sustaining optimal energy is vital to maximal success. Test taking is a competitive activity, and just as is the case in athletics or the performing arts, lagging attention and lackluster commitment won’t cut it.

Following are six “concentration hacks” that, in my work with students on SAT/ACT test prep over nearly five decades, have proven to be effective in developing students’ focusing skills.

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Good Questions

Asking a good question automatically initiates an internal quest, pointing and propelling the mind in a productive direction. “Good questions” lead us toward the goal; “bad questions” lead away from it. “What am I trying to find in this problem?” That’s a good question! “Why do I always mess up?” That’s a bad question. Asking and answering good questions is the best way I know get on track and stay there.

Verbalizing

By this I mean the process of discussing math internally, deliberately talking-out every step and calculation, mentally conversing with oneself about what one is doing and why at every moment. Verbalizing makes thinking conscious, draws out and connects ideas, exposes errors, and keeps the mind precisely attuned. For students not already in the habit, verbalizing can be trained.

Point and Trace

A visualization technique just as useful as verbalizing, “pointing and tracing” refers to pointing at and tracing each object mentioned in a geometry problem as one reads or thinks about the question. This makes key features of figures and diagrams stand out, allowing thoughts and ideas to gel and creativity to flow freely.

Tracking

The SAT and ACT are long hauls, and one of the first shoes to fall is reading comprehension. “Tracking" (physically pointing a finger or pencil at text as one reads) revives awareness and makes thinking “louder” and less likely to ebb. Point to get the point!

Thought Experiments

In these self-created multi-sensory imaginative experiences, students fully immerse themselves in the scene of an SAT/ACT word problem, mentally play it out, and closely observe what happens. Believing the question at hand to be an urgent matter (not just some arbitrary, boring word problem), the mind is compelled by the realness of the simulation to quickly find the right answer.

Get into it!

Enthusiastic engagement fuels concentration and creativity. The mind has a hard time telling the difference between a good act and factual reality, and, done convincingly, artificial excitement can generate the real thing. Fake it till you make it. Get psyched up. “This is great! I love this! What’s next!” Odd as it sounds, this actually does work.

Dream School

Write and underline the name of your “dream school” in large capital letters at the top of your scratch page, and return to this note whenever your energy starts to flag. Remember the reason you’re taking the test in the first place. This will automatically stimulate inspiration, motivation, and stronger focus. For extra effect, add an “!” point each time you do so. Employing this strategy repeatedly during practice testing has a cumulative effect, maximizing its impact on test day.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Monday, July 08, 2024

Geometry Hacks

Did you know you can use a ruler, protractor, and straight-edge on the SAT/ACT? 

Actually you can’t, at least not prohibited plastic or metal ones. 

"Too bad," you might be thinking. It would make answering most geometry questions a whole lot easier.

But you can easily and legally improvise each of these tools with materials you're allowed to use on the SAT/ACT. 

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Ruler

Along the edge of your scratch paper, mark the endpoints of a segment of known length taken from the given figure. Add a mark in the middle, to indicate the half-way point. Knowing the overall length of this “ruler,” and the length of the half-way mark, you can lay the ruler over the segment you need to find in the figure (on screen or on paper) to closely guess its length. Now, eliminate answers, and choose the best one remaining.

Protractor

You can create a “protractor” by using the right angle at any corner of your scratch paper. Carefully fold your scratch paper edge-to-edge at the corner. This forms a perfect 45 degree angle. Fold it again, like you’re making a paper airplane. Unfold and flatten the page. The angles formed are 22.5 degrees each. You’ve now created a “protractor” with angles 22.5 degrees, 45 degrees, 67.5 degrees and 90 degrees.

Straight-Edge

The edge of a sharply-folded scratch page makes an excellent edge for quickly drawing perfectly straight lines. In mathematics, neatness matters, nowhere more so than in the realm of geometry.

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Note: 

To form nice, sharp edges, run your pen or pencil firmly across the folds as you create each crease.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Saturday, June 08, 2024

The Backdoor

To enter, if the front door's open, walk right in. If it’s not, go ‘round back. This common sense advice applies to the SAT/ACT math section, as well.

While “doing the math” should always be plan A, plan B is to use a strategy, a “backdoor” approach to selecting the right answer. If the math is easy, do the math. If not, use a strategy!

Following are two classic backdoor strategies for answering questions on multiple-choice math questions. Each of them takes practice to master, but the advantage gained is well worth the effort. 

Try the answers

Math problems are typically solved by working forward from given information to the answer. This approach is the only option on typical “fill in the blank” tests taken in school, and on the SAT and ACT, students are expected to employ the same approach. But on multiple-choice tests, students have another option: it might be better to work backwards, from the answers to the problem. If answer are all numerals, this a good strategy to consider. 

Here's how it works:

Pick an answer choice. Take that answer back into the question and see if it’s consistent with all the given information. If there’s any inconsistency, eliminate that one, and try another. Only the correct answer will work. 

This strategy works best when answer choices are all numerals.

[Note: Since answers are arranged numerically, starting your search in the middle of the list will enable faster elimination and likely save time.]

Make up numbers

If variables are confusing you, don’t use variables. Use simple, real numbers instead! Here's how it works:

Pick simple sample values for the unknowns (don’t use 1, 0, or any number already appearing in the question), and answer the question using those numbers. Plug the same values into the answers, and pick the one that gives you the same result.

This approach works best when solving algebra problems and you're tempted to write some kind of difficult equation and/or when the answers all contain variables.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Saturday, June 01, 2024

Best Local Stargazing and Dark Sky Sites

Nothing says applied mathematics like physics, and nothing says physics stars and cosmology.

Following is a list of best places in the SF Bay Area and around California to find dark, clear skies ideal for star gazing.

A good pair of 7x50mm binoculars makes stargazing even more amazing. Click here for a great deal on an excellent set for beginners.

Wednesday, May 08, 2024

Guessing Techniques

Intelligent guessing is key on the SAT/ACT. Making sensible guesses isn’t always easy, however. Fortunately, a few simple strategies make it easier for students to improve the odds of picking the right answers to questions that have them stumped. 

Joe Average

Meet Joe Average, the typical high school math student. On hard end-of-section questions, Joe always picks an answer he can understand, one that’s easy to get. Since questions near the end are always hard, any answer Joe would pick for these questions will be wrong. Since Joe always falls for trap answers, those too simple to be correct for questions coming near the end of the test, you should eliminate “Joe Average answers” to any question near the end (i.e. in the last third) of the math section.

Hard Questions, Hard Answers

In general, “Hard questions have hard answers.” When guessing on a problem near the end of the math section, after elimination, avoid easy-looking answers (simple numerals or expressions) and pick the hardest-looking answer choice (one involving square roots, parentheses, fractions, etc.).

Imposters

To fool students into picking wrong answers to hard questions, correct answers are often hidden among similar-looking answer choices. When guessing, you should favor “imposter” answers, those trying to impersonate the others (i.e. those with the greatest number of common features), and eliminate outliers.

The Last Letter

Answers near the end of the math section tend to be near the end of the alphabet (test makers deliberately design tests this way, knowing most students will examine the first answer first). Since you’ll be guessing mainly on harder questions coming near the end, unless you have a good reason not to do so, you should pick an answer at or near the end.

The “Last Letter Strategy” is a “guessing machine” that quickly and easily provides the best guess on any question. After eliminating wrong answers, always pick the last available answer choice. For example, if both “B” and “C” have been eliminated, pick “D.” If only “D” has been eliminated, pick “C.”

When blind guessing, it’s best to pick randomly and quickly move on without further thought. Save time and energy. Just obey the guessing machine!

Don’t Second Guess

Never change a first guess to a second guess. The intuition used to make your initial pick may give you an advantage. If later on you realize with certainty that your guess isn’t correct, you should, of course, change it.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Wednesday, May 01, 2024

Mischievous Engineers

Easter Eggs aren’t just for kids, and they aren’t found only on Easter – but they’re always hard to find and never fail to spark joy. 

Hiding “Easter Eggs” in software began in earnest in the 1970’s and continued through the Atari era into the modern age of computing. Engineers with too much time on their hands would deliberately program all kinds of surprises (little games, silly graphics and animations, text info, etc.) into their software projects.

Although Easter Egg grinches like Steve Jobs and Bill Gates banned the practice within their own companies, comedic Google engineers have managed to continue the tradition.

A Business Insider article gives a partial rundown of hidden tricks and treats to be found within the Google search bar. Give some of these a try! 

Easter Eggs provide a window into the minds of bored code monkeys, and furnish fatigued students and professionals a way to punctuate their day with diverting amusement.

A Wikipedia entry provides historical context and further info.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Monday, April 01, 2024

Trivium and Quadrivium

The reason I've always been captivated by the Trivium and Quadrivium is almost certainly that these ancient western educational models happen to coincide with six main interests of mine: math, music, astronomy/cosmology, logic, writing, and debate. 

Moreover, philosophy, another one of my main interests, was considered such an obvious part of classic liberal arts training that it wasn't included in the list of subjects for either the Quadrivium or Trivium.

From the Wikipedia article on Quadrivium:

"From the time of Plato through the Middle Ages, the quadrivium (plural: quadrivia[1]) was a grouping of four subjects or arts—arithmetic, geometry, music, and astronomy—that formed a second curricular stage following preparatory work in the trivium, consisting of grammar, logic, and rhetoric. Together, the trivium and the quadrivium comprised the seven liberal arts,[2] and formed the basis of a liberal arts education in Western society until gradually displaced as a curricular structure by the studia humanitatis and its later offshoots, beginning with Petrarch in the 14th century. The seven classical arts were considered "thinking skills" and were distinguished from practical arts, such as medicine and architecture."

One has to wonder what our society would look like if schools prioritized these essential subjects in grades K-12.

St. Ann Classic Academy is a school trying to implement such a curriculum.

For an excellent book on the Quadrivium, try Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology. 

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Friday, March 08, 2024

Hybrid Notes

Word problems make most math students a little nervous.

Generally, it’s the translation from English into algebra that poses the problem. Instead of getting stuck, consider taking “hybrid notes,” written partly in English and partly in math, at least initially. Once you gain more clarity, you can shift completely into algebraic sentences (i.e. equations).

Do translation in stages, in baby-steps, rather than a single leap. First write notes that mix English and math (e.g. Expense = Burgers * Price, or Total Time = Time Running + Time Walking), then translate fully into mathematics as you gain more understanding.

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Example

You own a boat rental business. Boats rent for $100 per hour plus a $150 security deposit. On average, your expenses amount to 30% of the hourly fee for each rental. Write an equation relating profit and rental hours for a typical boat trip.

It’s hard to translate that into algebra in a single step. Using hybrid notes will help.

Profit = Revenue – Expenses.

Revenue: 100*hours+150
Expenses: .3*(hourly fee)

Hours: h
Hourly fee: 100h

Profit = (100h+150)–.3(100h) = 100h+150–30h = 70h+150

Answer: P = 70h+150

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If you’re dealing with a particularly puzzling word problem, don’t let yourself get tripped up over language. Direct translation from English to math may be too much to ask.

Instead, use hybrid notes to get things going.



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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Thursday, February 08, 2024

GPS for Functions

Functions are of central importance in algebra, and problems based on functions form a major subset of questions appearing on the SAT/ACT.

Wouldn’t it be awesome if you had a easy, reliable way to navigate straight to the answer to any question involving functions? 

"GPS" will do it for you. 

The acronym outlines three options that will help solve any function-related question on the SAT/ACT. 

“G” stands for “graph.” (Would a graph be helpful?)

“P” stands for “points.” (Could you use coordinates of specific points?)

“S” stands for “substitute.” (Does a simple substitution solve the problem?)

Looking at virtually any function question on the SAT/ACT through these lenses will quickly and easily reveal the path to the answer.

Many times solutions can be found through simple visualization or basic pencil and paper techniques. 

Otherwise, Desmos can be used to carry out graphing, locating points, or doing substitution.

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For practice, search Google for worksheets covering “SAT ACT function problems,” pick a worksheet that provides answers, complete the worksheet, analyze any mistakes, and redo it until you can complete that worksheet with no errors. Then repeat, with additional worksheets, as needed, until you’ve mastered the GPS strategy.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Monday, January 01, 2024

Desmos – the New Standard

The online
Desmos graphing calculator is fast taking over from the venerable Ti-84 series of handheld calculators as the default calculator tool in secondary education. Desmos is now included as an integral part of the digital SAT, and acquiring intermediate-level Desmos skills is fundamental to maximizing math scores.

[Familiarity with the Ti-84 Plus CE handheld graphing calculator is still crucial to optimizing math scores on the ACT.]

I'm not aware of any succinct, comprehensive exposition of Desmos skills required for use on the dSAT (I'm working on it).

At this point, the best one can do is to peruse the various official materials linked in the "Desmos First Steps" and "Desmos Graphing Calculator" sections below. 

Check out each link, read the information provided, and do the sample exercises until you've covered all topics presented (search Google for additional help with particular topics).

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Desmos First Steps

User Guide

Quick Start Guide

Getting Started: Desmos Graphing Calculator

Getting Started: Creating Your First Graph

Getting Started Articles

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Desmos Graphing Calculator

Graphing Calculator

Graphing Calculator: Essential Skills

Graphing

FAQ: Graph

FAQ: Student Graphing

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Desmos Geometry

Geometry

Geometry Tool

Transformations

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Other Desmos Calculators

Scientific Calculator

Matrix Calculator

3-D Calculator

Sunday, October 08, 2023

Handle the Stupid Stuff

No amount of test prep tutoring, practice, careful review, or lost Saturdays and Sundays can make up for lack of sleep the night before test day. 

Put simply, sleep deprivation is death to test scores.  Without sufficient sleep, all that effort and personal sacrifice go right out the door.

It’s vital that students give themselves the best possible chance of success on test day. “Stupid stuff” can sink math scores like nothing else, and must be assiduously avoided.

Don’t ruin you score over stupid stuff!

To perform at your best, you should:

1. Get eight to nine hours of sleep on each of the three nights immediately preceding test day.

2. Drink extra water on each of the three days immediately preceding test day.

3. Go to bed 30 minutes early, and get up in the morning 15 minutes early, on each of the three days immediately preceding test day, using the extra waking minutes to study your most important test prep notes.

4. “Night before, stuff at the door.” Before going to sleep on the night before the test, put all the things you’ll need at the front door, so you won’t forget anything (admission ticket, pens/pencils, snack, calculator, laptop, etc.)

5. Eat a normal breakfast on test day, with protein for extended energy. But don’t get too full (digestion can drain energy). Drink a glass of water, use the bathroom, and bring a small snack (e.g. a power bar) to eat during breaks.

6. Don’t sit during breaks! Get up and stretch, walk around, relax, and think about other things (to recharge your body and mind).

7. Leave in time to arrive at the test sight at least 15 minutes early.

8. To provide extra motivation and “Winning Focus,” write the name of your dream college atop your test page or scratch paper. Glance at this note when fatigued, and dive back into the test with renewed vigor.

9. If you’re preoccupied with anything upsetting, procrastinate dealing with it till after the test. Put the negative experience entirely out of your mind. You can deal with it later.

10. If you find yourself stressing out during the test, break the pattern of anxiety by taking three deep, slow, “belly breaths” and/or subtracting by sevens from 100; then re-focus on the test question right in front of you. 

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.