How to run this lesson. Send the pre-work handout a day ahead. Open with goals (5 min), teach the map (5), work Reading & Writing together (15), Math (20), the Vocabulary Lab (10), then wrap and assign the next-two-days handout (5). Question cards reveal the answer and explanation when clicked; math cards open a "Solve it another way" panel. The dark navy notes are for the instructor only.
The frame for today
Open with one line: "Every question on the SAT is beatable with a method — today we build the toolbox." The score story: a ~1200 start is a strong base. Moving toward 1300–1350 is mostly (1) cutting careless losses and (2) having a faster route on the medium questions. Keep energy high, keep the clock visible, and praise good reasoning over lucky guesses.
00 Before you begin
Pre-work handout
Give this to the student the day before. It primes the brain and gives you a quick read on where they're starting.
SAT Foundations — Pre-work
Complete on paper before our session · about 15 minutes
What to have ready
- Paper, two sharpened pencils, and an eraser.
- A calculator you're comfortable with (you may use one on the math section).
- A quiet 60 minutes for our session — phone away.
Warm-up — answer on paper, no calculator
1Words in context. The committee's ___ approach meant every decision took weeks. (A) hasty (B) deliberate (C) careless (D) reckless
2Punctuation. The experiment had one goal ___ to measure reaction time. (A) goal, to (B) goal: to (C) goal; to (D) goal to
3Vocabulary. A synonym for candor is… (A) deceit (B) honesty (C) anger (D) caution
4Algebra. If 3x − 7 = 11, then x = ______
5Percent. 20% of 45 = ______
6Powers. If x² = 49 and x < 0, then x = ______
Your why — write one line
Answer key (instructor)
1 · B 2 · B (a colon introduces the goal) 3 · B 4 · x = 6 5 · 9 6 · x = −7
01 Orientation
The SAT, on one screen
Two sections, each split into two short modules. 98 questions, 2 hours 14 minutes, scored 400–1600. There's no penalty for a wrong answer — so we never leave a blank.
Reading & Writing · 54 Q / 64 min
Two 27-question modules, 32 minutes each. One short passage per question — about 71 seconds each.
Math · 44 Q / 70 min
Two modules, 35 minutes each. A calculator is allowed throughout. A mix of multiple-choice and type-in answers — about 95 seconds each.
The modules adapt — like a thermostat, not a trapdoor. How you do on the first module sets the difficulty, and the score ceiling, of the second. The lesson for prep: accuracy on the first module is everything. Steady, careful work early unlocks the higher band.
Make the score concrete
Draw the 400–1600 scale. Mark ~1200 and the 1300–1350 target. Frame it as roughly 5 to 8 more correct answers per section — not a different student, just fewer leaks and one faster method on the medium questions. That reframe lowers anxiety and makes the goal feel mechanical and reachable.
02 Reading & Writing
Read like a detective, edit like an engineer
Four domains, evenly weighted. The student is already capable here — our job is to make the strong stronger by turning instinct into a method that repeats.
Information & Ideas
Central ideas, evidence, inference. Ask: what does the text actually say?
Craft & Structure
Words in context, purpose, structure, connecting two texts.
Expression of Ideas
Transitions and synthesis — making a point land.
Standard English Conventions
Grammar, punctuation, sentence boundaries — rules that repeat.
The one move: read the question, answer it in your own words first, then find the choice that matches. Predicting before you peek is what keeps trap answers from sounding tempting.
Craft & Structure · Words in contextQ1
Although the novel was praised for its ___ prose, some readers found the stripped-down style cold and distant.
Why B
Clue: "stripped-down." The blank must mean minimal. Spare means bare and pared-down. Ornate, verbose, and florid all mean the opposite — over-decorated — so the contrast clue clears three at once.Craft & Structure · Words in contextQ2
The senator's ___ remarks left no doubt about exactly where she stood on the bill.
Why B
Clue: "left no doubt." Unequivocal means leaving no doubt. The other three all describe uncertainty — the opposite of the clue.Standard English Conventions · BoundariesQ3
Maria trained for months ___ she finished the marathon in record time.
Why B
Two complete sentences ("Maria trained for months" and "she finished…") need a real boundary. A comma alone (A) is a splice; no punctuation (C) is a run-on. Comma + and joins them correctly. Test: cover each side — if both halves stand alone, a comma by itself can't join them.Craft & Structure · PurposeQ4
The 1977 Voyager probes each carried a golden record etched with the sounds of Earth — whale song, greetings in 55 languages, the sound of a kiss. The engineers knew the chance any of it would ever be found was vanishingly small.
Which choice best describes the function of the last sentence?
Why C
"Function" questions ask what a sentence does, not what it says. The line admits the odds are tiny — which makes the gesture meaningful rather than practical. A and D describe content elsewhere; B adds a judgment the text never makes.Coach the process, not the answer
After each one, ask "what was your prediction before you looked?" If they peeked first, that's the habit to fix. For conventions, have them read both halves aloud and decide "can each stand on its own?" Build the reflex; the content is easy once the method is automatic.
03 Math
One problem, many doors
This is where points are won. The goal isn't only the right answer — it's the fastest reliable route, plus a backup. Every problem below opens a panel with another way to solve and a true shortcut.
Algebra
Linear equations, lines, systems. The backbone — about 35% of the math.
Advanced Math
Quadratics, exponentials, functions. Where 1300+ is built.
Problem-Solving & Data
Ratios, percents, rates, tables, statistics.
Geometry & Trig
Angles, triangles, circles. A formula sheet is provided on the test.
Warm the toolbox — solve 2x + 5 = 17 three ways
Algebra
Undo it step by step: subtract 5 → 2x = 12 → divide by 2 → x = 6. Cleanest when the numbers are friendly.
Back-solve
Try the answer choices. Plug each into 2x + 5 until it equals 17. Great when the answers are right there in front of you.
Number sense
Read it backward: 17 − 5 = 12, and half of 12 is 6. No writing — done in your head.
Algebra · LinesQ5
A line passes through (2, 3) and (4, 7). What is its slope?
Why C
Slope is the change in y over the change in x: (7 − 3) / (4 − 2) = 4 / 2 = 2.Solve it another way
Picture it: from (2, 3) to (4, 7) you go up 4, right 2 → rise over run = 2. Sketch it on the grid if that's clearer.
True shortcut Slope is always Δy ÷ Δx. Subtract the y's, subtract the x's in the same order, divide. Keeping the order steady kills sign mistakes.
Algebra · SystemsQ6
If 2x + y = 10 and y = x + 1, what is the value of x?
Why B
Substitute y = x + 1 into the first equation: 2x + (x + 1) = 10 → 3x + 1 = 10 → 3x = 9 → x = 3.Solve it another way
Back-solve: test B (x = 3). Then y = 4, and 2(3) + 4 = 10. ✓ Done in seconds.
Elimination: rewrite as 2x + y = 10 and −x + y = 1, subtract the second from the first → 3x = 9 → x = 3.
True shortcut When a question gives you answer choices, test them — usually starting from B or C. Plugging a number in is often faster than solving from scratch.
Advanced Math · QuadraticsQ7
What are the solutions to x² − 5x + 6 = 0?
Why B
Factor: find two numbers that multiply to +6 and add to −5 → −2 and −3. So (x − 2)(x − 3) = 0 → x = 2 or 3.Solve it another way
Test the choices: plug each pair into the equation. x = 2 gives 4 − 10 + 6 = 0 ✓, x = 3 gives 9 − 15 + 6 = 0 ✓ — so B.
Quadratic formula: always works when factoring won't come quickly — slower, but bulletproof.
True shortcut To factor x² + bx + c, find two numbers that multiply to c and add to b. Here: product +6, sum −5 → both negative, −2 and −3.
Problem-Solving & Data · PercentQ8
A jacket costs $40. It is marked down 25%. What is the sale price?
Why C
25% of 40 is 10, so the discount is $10 and the price is 40 − 10 = $30. Watch the trap: $10 (A) is the discount, not the price.Solve it another way
One step: keeping 75% means multiply by 0.75 → 40 × 0.75 = 30. Faster than two steps.
True shortcut A discount of r% → multiply by (1 − r/100). An increase of r% → multiply by (1 + r/100). One multiplication, no subtraction step to fumble.
Geometry · Right trianglesQ9
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
Why C
Pythagorean theorem: 6² + 8² = 36 + 64 = 100, and the square root of 100 is 10.Solve it another way
Spot the pattern: 6-8-10 is just the 3-4-5 triangle doubled. Recognize it and skip the arithmetic.
True shortcut Memorize the common triples — 3-4-5, 5-12-13, 8-15-17 and their multiples. They show up constantly; spotting one saves the whole calculation.
Build the "two-route" habit
For each problem, have the student name their route first, then show one alternative. The aim by August: a primary method and a backup (back-solve or elimination), so no question ever fully stalls them. Reinforce: on a no-penalty test, a 30-second educated guess beats a 3-minute perfect solution that eats the clock.
04 Vocabulary Lab
Week 1 words — think in synonyms and antonyms
The SAT tests words through relationships: the right answer is a synonym for the meaning the sentence needs, and the traps are often near-opposites. Tap a card to flip it, and learn each word alongside its opposite — that's how the test frames them.
Quick check
SynonymV1
Which word is closest in meaning to lucid?
Why B
Lucid means clear and easy to understand. "Confusing" is its opposite — the classic trap.AntonymV2
Which word is most nearly opposite to gregarious?
Why C
Gregarious means enjoying company. Its opposite is solitary. "Sociable" (A) is a synonym placed to bait a fast read.Word in contextV3
After days of vague, guarded answers, the witness's sudden ___ surprised the courtroom.
Why B
"Sudden" plus a contrast with "vague, guarded" calls for openness. Candor means frankness. Evasion (A) repeats the old behavior instead of contrasting it.05 Wrap-up
Three things to carry out the door
Close every lesson by naming the takeaways out loud — saying them is how they stick.
Predict, then peek
On Reading & Writing, answer in your own words before reading the choices.
Two routes, always
Every math problem has a main method and a backup — back-solving or elimination.
Words come in pairs
Learn each new word with its opposite; the test thinks in synonyms and antonyms.
Close the loop
Have the student set one small, specific target for next time ("finish the timed set without skipping"). Confirm the two lesson days are locked, point them to the homework, and remind them: Lesson 2 builds directly on today — linear & exponential relationships, plus evidence-based reading.
06 Keep the fire lit
Next-two-days handout
Short, daily, and cumulative — it reinforces today and loads the next lesson. Print it and send it home.
SAT Foundations — Work for the Next Two Days
About 30 minutes a day · keep the concepts at the front of your mind
Day 1 · Words & Reading
Lock in the language
- From memory, write a synonym and an antonym for each of the 10 Week-1 words.
- Use five of the words in original sentences that show their meaning.
- Do the 5 reading drills below; for each, write your prediction before choosing.
- One line: which question type felt trickiest today, and why?
1The critic's ___ review angered the director, who had expected praise. (A) glowing (B) scathing (C) neutral (D) hesitant
2The results were ___: the same experiment gave a different answer each time. (A) consistent (B) erratic (C) precise (D) decisive
3The bridge was built in 1890 ___ it still carries traffic today. (A) 1890, it (B) 1890; it (C) 1890 it (D) 1890: it
4A synonym for prudent is… (A) reckless (B) cautious (C) wealthy (D) loud
5Choose the opposite of tenacious: (A) stubborn (B) determined (C) yielding (D) gripping
Day 2 · Math & pacing
Run the toolbox
- Solve the six problems below. For each, write which method you used (algebra, back-solve, elimination, pattern).
- Then put 10 minutes on the clock and redo any that felt slow — exam mode.
- Bring one problem you want to break down together next lesson.
1If 5x + 3 = 2x + 18, then x = ______
2A line has slope 3 and passes through (0, −2). What is y when x = 4? ______
3Solve: x² − 7x + 12 = 0. ______
4A $60 item is increased by 15%. New price = ______
5If 3 pens cost $4.50, how much do 7 pens cost? ______
6A right triangle has legs 5 and 12. The hypotenuse = ______
Answer key (instructor)
Reading — 1 · B 2 · B 3 · B (two complete sentences → semicolon) 4 · B 5 · C (opposite of tenacious = yielding)
Math — 1 · x = 5 2 · y = 10 3 · x = 3 and 4 4 · $69 5 · $10.50 6 · 13 (a 5-12-13 triple)
Math — 1 · x = 5 2 · y = 10 3 · x = 3 and 4 4 · $69 5 · $10.50 6 · 13 (a 5-12-13 triple)
This sets up Lesson 2. The Day-2 problems lean on linear and quadratic patterns — exactly where Lesson 2 goes next (linear & exponential relationships, plus evidence-based reading). The work isn't busywork; it's the on-ramp.