📈 Algebra I

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“A recipe says 2 cups, but your measuring cup shows mL. Units keep answers right.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• A car drives 60 miles per hour for 3 hours. How far does it go?
• Write miles per hour as miles over hours. Hours on top and bottom cancel.
• What is left is miles: 180 miles.
• A conversion factor equals 1, because 12 inches and 1 foot are the same length.
• So 4 feet times 12 inches per foot: feet cancel, 48 inches.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“The diagonal of a 1-by-1 tile is √2, a decimal that never ends or repeats.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• A 1-by-1 square. Its diagonal is the square root of 2, by the Pythagorean theorem.
• Swing the diagonal down with a compass. It lands at about 1.414 on the number line.
• Perfect squares give whole-number roots: the square root of 4 is 2, of 9 is 3. Those are rational.
• Pi is about 3.14159. Like the square root of 2, its decimal never ends and never repeats: irrational.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“A phone plan costs $20 plus $5 per GB. Spending $45 means how many GB?”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 3 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• A phone plan: 20 dollars plus 5 dollars per gigabyte. The bill is 45 dollars. Five x-blocks and 20 balance 45.
• Take 20 away from both sides. The scale stays level.
• Now five x-blocks balance 25.
• Split both sides into 5 equal groups. One x-block matches 5.
• x equals 5 gigabytes. Check: 20 plus 5 times 5 is 45.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“Science formulas like d = rt can be solved for any letter you need.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• Distance equals rate times time.
• To get t alone, divide both sides by r.
• t equals d over r. Same undo steps as always.
• Perimeter: P equals 2l plus 2w. Subtract 2l, then divide by 2.
• Check with numbers: P is 30 and l is 9. 30 minus 18 is 12, and 12 over 2 is 6.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“A safe pool temperature is from 78°F to 82°F: that is a compound inequality.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• A safe pool is from 78 to 82 degrees. Both parts must be true: AND. The answer sits between.
• x less than negative 2, or x greater than 5. Either part can be true: OR. Two arrows split apart.
• Solve negative 3 less than 2x plus 1 less than 9. Do the same step to all three parts: x is between negative 2 and 4.
• Check x equal to 1: 2 times 1 plus 1 is 3, and 3 is between negative 3 and 9.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“Two gyms: $30 + $10/visit or $50 + $5/visit. When do they cost the same?”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 3 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• Gym A costs 30 dollars plus 10 dollars a visit.
• Gym B costs 50 dollars plus 5 dollars a visit.
• The lines cross at 4 visits and 70 dollars. There, both gyms cost the same.
• Before 4 visits gym A is cheaper. After 4, gym B is cheaper.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“Hours at two jobs, a time limit and a money goal: the overlap of shaded regions shows every plan that works.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• y greater than 2x minus 1. Strict, so the fence is dashed. Shade above.
• y less than or equal to negative x plus 4. The bar under the sign makes a solid fence. Shade below.
• Where the shadings overlap, both are true. That region is the answer.
• Test the point 0, 0: 0 is greater than negative 1, and 0 is at most 4. It is in the overlap.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“A ball's path is a parabola and a ramp is a line: where do they meet?”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• The parabola y equals x squared.
• The line y equals x plus 2.
• Set them equal: x squared equals x plus 2. Move everything to one side and factor: x is 2 or negative 1.
• Find each y: the points 2, 4 and negative 1, 1. Both are on the line and the parabola.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“A vending machine: one button gives one snack. Each input gets exactly one output.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• A function machine: f of x equals 2x plus 3. Put in 4.
• Out comes 11. f of 4 equals 11: the output when the input is 4.
• Every input gives exactly one output: 0 gives 3, negative 1 gives 1.
• A mapping that sends 1 to two outputs, 2 and 5, is not a function.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“A roller-coaster graph rises, peaks and falls. Key features tell its story.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• A ball's height: h of t equals negative 16 t squared plus 32 t, in feet after t seconds.
• The x-intercepts, where height is 0: t equals 0 and t equals 2.
• The maximum is at t equals 1: 16 feet.
• Read left to right: it increases until 1 second, then decreases.
• Time and height cannot be negative, so the domain that fits is t from 0 to 2.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“Move a graph like a sticker: up, down, left, right, or flip it.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• The parent graph, y equals x squared.
• Add 3 outside: every point moves up 3.
• Subtract 2 inside: the graph moves right 2. Inside does the opposite of what you see.
• A negative out front flips the graph over the x-axis.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“A parking lot charges one rate for the first hour and another after: that is a piecewise function.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• f of x is 2x when x is less than 0, and x plus 1 when x is 0 or more.
• At x equals 0 the left piece has an open circle; the right piece has a closed dot at 0, 1.
• f of 3: 3 is 0 or more, so use x plus 1. f of 3 equals 4.
• f of negative 2: negative 2 is less than 0, so use 2x. f of negative 2 equals negative 4.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“Theater seats: 20 in row 1, 22 in row 2, 24 in row 3… a sequence.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• Row 1 has 20 seats, row 2 has 22, row 3 has 24.
• Each row adds 2: an arithmetic sequence with common difference d equals 2.
• To reach row n you jump n minus 1 times: a sub n equals 20 plus n minus 1 times 2.
• Row 10: 20 plus 9 times 2 is 38 seats. The tops line up: it is a linear function of n.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“Taxi: $3 to start plus $2 per mile. The slope is the rate; the y-intercept is the start.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• A taxi: 3 dollars to start. That is the y-intercept, the point 0, 3.
• Each mile adds 2 dollars. Run 1, rise 2: slope 2.
• Equal steps give equal rises. A linear function changes by the same amount each time.
• From two points, 1, 2 and 3, 8: y's go on top. 8 minus 2 over 3 minus 1 is 6 over 2, slope 3.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“A video's views double every day; a phone loses 20% of its value each year.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 3 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• Views that double every day: 1, 2, 4, 8, 16, 32.
• y equals a times b to the x: a is the start, 1; b is the growth factor, 2.
• A linear graph adds the same amount. An exponential graph multiplies by the same factor, so it curves up.
• When b is greater than 1 it grows. When b is between 0 and 1 it decays.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“Job A adds $100 a week; Job B doubles a penny each day. Which wins over time?”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• Job A adds 100 dollars a week: y equals 100x. Job B starts at 1 dollar and doubles every week: y equals 2 to the x.
• For a long time, linear is bigger. At x equals 9: 900 versus 512.
• At x equals 10: 1,000 versus 1,024. The exponential passes the linear and never looks back.
• Linear adds equal amounts. Exponential multiplies by equal factors, so over time it always wins.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“Area of a garden with sides x + 3 and x + 5? Multiply the polynomials.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• A garden is x plus 3 wide and x plus 5 long. Its area is the product.
• Every term meets every term. x times x is one big x squared tile.
• x times 5 and x times 3 give 8 green x-tiles.
• 3 times 5 gives 15 small unit tiles. Total: x squared plus 8x plus 15.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“Factoring undoes multiplying, like breaking 12 into 3 × 4.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 3 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• Factor x squared plus 5x plus 6. Here are the tiles: one x squared, five x's, six ones.
• Find two numbers that multiply to 6 and add to 5: 2 and 3.
• Arrange the tiles into a rectangle. Its sides are x plus 2 and x plus 3.
• Check by multiplying back: x squared plus 3x plus 2x plus 6. It matches.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“Bigger factoring puzzles need a plan: split the middle, group, and factor.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 3 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• Four terms: x cubed plus 2x squared plus 3x plus 6. Group them in pairs.
• Take the GCF of each pair: x squared from the first, 3 from the second.
• Both groups share x plus 2. Pull it out.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“A ball's height h = −16t² + 64t. When does it land? Solve h = 0.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 3 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• A ball's height is h equals negative 16 t squared plus 64 t.
• Factor out negative 16 t: negative 16 t times t minus 4 equals 0.
• Zero product: if a product is 0, a factor is 0. t equals 0 or t equals 4.
• t equals 0 is the throw. The ball lands at 4 seconds.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“Vertex form shows a parabola's turning point right away.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 3 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• x squared plus 6x: one big square and 6 x-tiles.
• Split the 6 x-tiles: 3 on the right, 3 below.
• A corner is missing: 3 by 3, which is 9 ones.
• Add 9 to complete the square: x plus 3, squared.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“A fountain's water makes a parabola. Its top is the vertex.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• A fountain's water makes a parabola. Here: y equals x squared minus 6x plus 5.
• The axis of symmetry: x equals negative b over 2a, which is 6 over 2, so x equals 3.
• The vertex sits on the axis: at x equals 3, y is negative 4. a is positive, so it opens up: a minimum.
• The zeros, where it crosses the x-axis: 1 and 5. They sit the same distance from the axis.
• The y-intercept is c, 5.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“A model rocket's height is h(t) = −16t² + 96t. When is it highest, and how high?”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• A model rocket's height in feet: h of t equals negative 16 t squared plus 96 t.
• Highest at t equals negative b over 2a: negative 96 over negative 32, which is 3 seconds.
• Plug in 3: negative 144 plus 288 is 144 feet.
• It lands when h is 0: negative 16 t times t minus 6 is 0, so t equals 6 seconds.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“Two classes took a quiz. Box plots show which class had more consistent scores.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• Data: 2, 4, 6, 8, 10, 12, 14. Each dot is one value.
• The median is the middle value: 8.
• Q1 is the median of the lower half, 2, 4, 6: it is 4. Q3, of 10, 12, 14: it is 12.
• The box runs from Q1 to Q3. The whiskers reach the min, 2, and the max, 14.
• The interquartile range is Q3 minus Q1: 12 minus 4 is 8. It is the spread of the middle half.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“A survey asks students their grade and whether they have a pet. A two-way table organizes the answers.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• A survey of 100 students: grade, and whether they have a pet. Bar heights show the counts.
• Joint frequency: inside a cell. 30 ninth graders have a pet: 30 out of 100 is 30 percent.
• Marginal frequency: a total on the edge. 40 students have a pet: 40 percent.
• Conditional: given ninth grade, look only at that row. 30 of the 50 ninth graders is 60 percent.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“Do more study hours mean higher scores? A scatter plot and a line of best fit can tell.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• Study hours and quiz scores for 9 students. Each dot is one student.
• The dots rise together: a positive, strong linear pattern.
• The calculator's linear regression gives y equals about 3.93x plus 59.4.
• The correlation coefficient r is about 0.99: very close to 1, a strong positive line.
• But correlation is not causation. A strong r does not prove that one thing causes the other.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.

Read this aloud (it is the lesson's hook). Students think, then tell a partner what they notice.

“A line of best fit predicts; residuals show how far each real point is from the prediction.”

1. Open the lesson link on the board.
2. Press Next to the 🎬 Watch in 3D step and press ▶ Play. Students can drag to turn the model. This lesson has 2 3D videos in a row: press Next and ▶ Play for each part.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• A line of best fit predicts a value for each x.
• At x equals 3 the line predicts about 69.2, but the actual value is 76. The residual is actual minus predicted: about plus 6.8.
• Points over the line have positive residuals, green. Points under the line have negative residuals, red.

Students open the same lesson on their own device (or work with the board). Press Next to Try it.

Try it together first:

🧱 Build it: the lesson's short 3D build game. Let students play it after Try it. Its score never changes grades.

If time is left, students play the lesson's game steps (they show up between the videos and Check).

Students press Next to Check and answer the 4 questions on their own device. Goal: 100%. 95% or more is Mastered. “Not yet” means try again; students may retry.

Read this question aloud. Students write the answer on a slip of paper with no name or with a class number, and hand it in.