➗ Math · Grade 7

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

“You walk ½ mile in ¼ hour. How fast is that per hour? Divide.”

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:

• You walk 1/2 mile in 1/4 hour.
• Unit rate: divide the distance by the time. 1/2 divided by 1/4.
• Dividing by one fourth is multiplying by 4: 2 miles per hour.

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.

“If you earn the same pay every hour, pay and hours are proportional: a straight line through the origin.”

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 table: x is 1, 2, 3 and y is 4, 8, 12. y over x is always 4.
• The equation is y = 4x. The constant of proportionality k is 4.
• The graph is a straight line through the origin, and (1, 4) shows the unit rate.

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.

Also in this lesson: 🎮 Play: Set the y-intercept to 0. Every line through the origin is proportional; the slope is k.

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.

“Percent shows up when you shop, eat out and save. One method solves them all: part = percent × whole.”

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:

• Tax of 8.75% on $40: multiply by 1 plus the rate, 1.0875.
• 20% off $80: multiply by 1 minus the rate, 0.80. You pay $64.
• Simple interest: principal times rate times time. $200 at 3% for 2 years earns $12.
• Percent error compares the error to the actual value: 10 out of 40 is 25%.

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.

“Temperatures, bank balances and elevations go below zero. Number lines make the rules clear.”

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:

• Start at negative 5 and move 8 to the right: 3.
• From 4, move 9 to the left: negative 5.
• Subtracting a negative is adding: −3 − (−7) = −3 + 7 = 4.
• The distance between two numbers is the absolute value of their difference.

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.

“Signs follow simple rules, and every fraction can become a decimal that stops 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:

• 3 times negative 2: three jumps of −2 land on −6.
• Negative 4 times negative 3: 4 jumps of −3, then flip to the opposite side. Positive 12.
• Negative 20 divided by 5: 5 equal jumps of −4.
• Same signs: positive. Different signs: negative.

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 diver at −12.5 m rises 4.25 m, then sinks 2 m. Where is she? Combine the steps.”

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.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• A diver is at −12.5 meters.
• She rises 4.25 meters, then sinks 2 meters.
• One expression: −12.5 + 4.25 − 2 = −10.25 meters.

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.

““Add 10% tax” and “multiply by 1.1” say the same thing two ways. Rewriting expressions reveals meaning.”

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.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• Distribute: 3(x + 4) is three groups of x + 4, which is 3x + 12.
• Combine like terms: 2x + 5x − 3 is 7x − 3.
• Factor: 6x + 9 is three groups of 2x + 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.

“Solve px + q = r by undoing in reverse order, and check by substituting.”

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 two-step equation on a balance: 4x + 7 = 31.
• Undo the + 7 first: take 7 from both sides. 4x = 24.
• Then undo the times 4: split both sides into 4 equal groups. x = 6.
• Check: 4 times 6 plus 7 is 31.

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.

““At least,” “no more than,” “more than”: inequalities describe ranges of 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:

• Solve 2x + 3 > 11 like an equation: x > 4.
• Multiplying or dividing by a negative flips the inequality.
• −3x ≤ 12: divide by −3 and flip. x ≥ −4.
• Open circle for greater than; closed circle for greater than or equal.

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 map scale of 1 inch = 20 miles turns a ruler into a travel planner.”

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.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• A map scale: 1 inch = 20 miles.
• 3.5 inches on the map: 3.5 times 20 is 70 miles.
• Areas scale by the scale factor squared: factor 3 makes the area 9 times as big.

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.

“C = πd wraps around; A = πr² fills inside. Know which one the question wants.”

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:

• Circumference is the distance around: one roll is pi times the diameter, about 3.14 diameters.
• Area is the space inside. Cut it into wedges and line them up: about pi r by r, so A = pi r squared.
• Radius 5: circumference 2 pi times 5, about 31.4.
• Area: pi times 5 squared, about 78.5.

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.

“Supplementary, complementary, vertical and adjacent angles let you solve for unknown angles.”

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.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• Complementary angles add to 90 degrees.
• Supplementary angles add to 180 degrees.
• Vertical angles, across the X, are equal.

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.

“Paint covers surface area; water fills volume. Composite shapes are just simple shapes added together.”

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:

• Volume of a prism: base area times height. A cube with edge 4: 16 times 4 is 64.
• Surface area: unfold it and add the area of every face. 6 faces of 16: 96.
• Composite figures: add (or subtract) simple shapes.

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.

“Survey 50 random students to learn about 600. Random samples represent the whole fairly.”

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.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• In a random sample, every student has an equal chance to be picked.
• Asking only your friends is biased: it misses most of the school.
• Compare two groups with their centers (medians) and spreads.

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.

“Flip a coin and roll a die: 12 equally likely outcomes. Tree diagrams and tables count them.”

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:

• P of rolling a 4: one favorable outcome out of six.
• A coin and a die: 2 times 6 is 12 outcomes.
• Independent events: multiply. P(heads and 6) = 1/2 × 1/6 = 1/12.
• Experiments, for example, get closer to the theory with more trials.

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.

“Show what you know: read carefully, estimate, use the calculator wisely, show work on responses.”

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.
3. Press Next to the Movie step and press ▶ Play.

The video says:

• Grade 7: a scientific calculator is allowed in both sessions.
• Estimate before calculating to catch mistakes.
• On response questions, show your steps and write a final sentence.
• Pace yourself: flag hard questions and come back.

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

Do the lesson's Try it step together on the board.

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

Also in this lesson: 🎮 Play: Take a 15-question practice test.

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.