Math Mastery Kickoff

Q2. Daily Supplies: Math Binder, pencils, colored correction pen.

Q3. Absence Rule: Email/call teacher, grab missing handouts.

Q4. Missing Work Location: 'While You Were Out' wall binders.

Q5. Classroom Motto: "Character + Competence = College & Beyond"

Q6. Contact Teacher: Teacher work email or professional cell number.

Q7. Correction Pen Color: Blue or Purple pen (no red, no pencil).

Q8. Number of Units: 6 core units.

Q9. Late Homework Policy: Max score is 70% if turned in next day.

Q10. SLANT acronym: Sit up, Lean in, Actively listen, Nod, Track.

Q11. Unorganized Work: -5 points penalty per assignment.

Q12. Phones storage: Locked cell pouches inside student lockers.

Q13. Quizzes per Unit: 2 structured quizzes per unit.

Q14. Exit Ticket Pass: Minimum 75% score (3 out of 4 correct).

Q15. Office Hours: Tuesdays & Thursdays 3:30 PM - 4:15 PM.

Q16. Countdown Response: SILENT tracking in SLANT in 3 seconds.

Q17. Grade Tracker Site: School's online portal (e.g., PowerSchool).

Q18. Cheating Policy: Automatic zero, parent call, school detention.

Q19. HW completion reward: Monthly VIP scholar raffle entry.

Q20. Why Show Work: Shows logical path; permits partial credit.

Fraction Review Answer Key (Student Packet Pages 2 & 3)

Block A: Like Denominators

• Q1: \(\frac{3}{8} + \frac{2}{8} = \mathbf{\frac{5}{8}}\)
• Q2: \(\frac{7}{10} - \frac{3}{10} = \frac{4}{10} = \mathbf{\frac{2}{5}}\)
• Q3: \(\frac{5}{12} + \frac{1}{12} = \frac{6}{12} = \mathbf{\frac{1}{2}}\)
• Q4: \(\frac{14}{15} - \frac{4}{15} = \frac{10}{15} = \mathbf{\frac{2}{3}}\)

Block B: Unlike Denominators

• Q5: \(\frac{2}{3} + \frac{1}{4} = \frac{8}{12} + \frac{3}{12} = \mathbf{\frac{11}{12}}\)
• Q6: \(\frac{5}{6} - \frac{2}{3} = \frac{5}{6} - \frac{4}{6} = \mathbf{\frac{1}{6}}\)

Block C: Mixed Numbers

• Q7: \(1\frac{1}{2} + 2\frac{1}{3} = 1\frac{3}{6} + 2\frac{2}{6} = \mathbf{3\frac{5}{6}}\)
• Q8: \(3\frac{3}{4} - 1\frac{1}{2} = 3\frac{3}{4} - 1\frac{2}{4} = \mathbf{2\frac{1}{4}}\)
• Q9: \(4\frac{1}{3} - 1\frac{5}{6} = 3\frac{8}{6} - 1\frac{5}{6} = \mathbf{2\frac{1}{2}}\)
• Q10: \(2\frac{7}{8} + 3\frac{3}{4} = 2\frac{7}{8} + 3\frac{6}{8} = 5\frac{13}{8} = \mathbf{6\frac{5}{8}}\)

Block D: Word Problems

• Q11: \(2\frac{3}{4} + 1\frac{1}{3} = 2\frac{9}{12} + 1\frac{4}{12} = 3\frac{13}{12} = \mathbf{4\frac{1}{12}}\) hours
• Q12: \(10\frac{1}{4} - 4\frac{5}{8} = 9\frac{10}{8} - 4\frac{5}{8} = \mathbf{5\frac{5}{8}}\) cups

Exit Ticket Answer Key (Student Page 4)

Q1 Solution: \(\frac{4}{9} + \frac{2}{9} = \frac{6}{9} = \mathbf{\frac{2}{3}}\)

Q2 Solution: \(\frac{5}{6} - \frac{1}{4} = \frac{10}{12} - \frac{3}{12} = \mathbf{\frac{7}{12}}\)

Q3 Solution: \(3\frac{1}{5} - 1\frac{3}{10} = 2\frac{12}{10} - 1\frac{3}{10} = \mathbf{1\frac{9}{10}}\)

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\(8\frac{1}{2} = 8\frac{3}{6} = 7\frac{9}{6}\) (Regrouping)

\(3\frac{2}{3} = 3\frac{4}{6}\)

Logical Execution & Solution Steps

\(7\frac{9}{6} - 3\frac{4}{6} = 4\frac{5}{6}\)

Final Answer Sentence:

The length of the remaining wire is \(4\frac{5}{6}\) inches.

Practice Trial: annotate and solve this problem on your own!

Practice Question: Maya walked \(5\frac{1}{4}\) kilometers on Saturday and \(3\frac{5}{8}\) kilometers on Sunday. How much further did she walk on Saturday than on Sunday?

Your Scratchpad:

Your Final Answer & Sentence:

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7TH GRADE MATHEMATICS SESSION 2: CLASSROOM PROCEDURES

Classroom Procedures Scavenger Hunt (15 Minutes)

Fill in the precise expectations for each classroom procedure. Be prepared to practice these during live speed drills!

1. Entering Class

Enter silently, sit immediately in assigned seat, and begin Do Now within 10 seconds.

2. Materials Prep

Unpack binder, pencils, and correction pen. Put backpack under desk completely.

3. Bathroom Procedures

Fill out hand sign silently. Go only during designated independent work times.

4. Asking/Answering Questions

Raise hand silently, sit tall, and speak with high voice so the whole room tracks you.

5. Missing Work & Binders

Check folders/crates, retrieve handout, secure inside math binder rings immediately.

6. Homework Routines

Homework on desk corners immediately during morning entry. Checked by teacher.

7. Independent Work expectations

No talking, 100% focus, posture is upright (SLANT), show every logical intermediate step.

8. Group Work & Partners

Whisper voices only, face partners directly, focus entirely on math solutions.

Review: Mixed Numbers & Improper Fractions (30 Minutes)

Evaluate the following expressions. Convert mixed numbers to improper fractions as your first step. Show all work.

Q1. Evaluate: MIXED

\(\frac{11}{4} + \frac{5}{3}\)

Q2. Evaluate: IMPROPER

\(\frac{17}{6} - \frac{7}{4}\)

Q3. Evaluate: MEDIUM

\(2\frac{2}{5} + 1\frac{3}{4}\)

Q4. Evaluate: MEDIUM

\(4\frac{1}{6} - 2\frac{2}{3}\)

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7TH GRADE MATHEMATICS SESSION 2: ASSESSMENT & GAMES

Math Four Corners Reflection Workspace

When prompted by the teacher, move to your corner. Write down one key idea from your corner discussion below.

Corner 1

I prefer working alone.

Corner 2

I prefer solving puzzles.

Corner 3

I prefer competition.

Corner 4

I prefer explaining math.

Discussion notes:

Exit Ticket: Routines & Fractions (10 Minutes)

This is an independent check. Silence is absolute. Show complete scratchpad work and circle final answers.

Q1. Evaluate:

\(\frac{13}{5} - \frac{4}{3}\)

Q2. Evaluate:

\(3\frac{3}{8} + 1\frac{1}{2}\)

Q3. Evaluate:

\(5\frac{1}{6} - 2\frac{2}{3}\)

Q4. What are the three steps of the Uncommon Math Annotation code?

Q5. Why is it important to use a colored correction pen during review?

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Equation: \(5\frac{1}{4} - 3\frac{5}{8}\)
Convert to common denominator (LCM = 8): \(5\frac{2}{8} - 3\frac{5}{8}\)
Borrow/Regroup: \(4\frac{10}{8} - 3\frac{5}{8} = \mathbf{1\frac{5}{8}}\)
Final Answer Sentence: Maya walked \(1\frac{5}{8}\) kilometers further on Saturday than on Sunday.

Review Section Answer Key (Student Page 3)

Q1. \(\frac{11}{4} + \frac{5}{3}\) Solution: LCM of 4 and 3 is 12.
Convert: \(\frac{33}{12} + \frac{20}{12} = \frac{53}{12} = \mathbf{4\frac{5}{12}}\)

Q2. \(\frac{17}{6} - \frac{7}{4}\) Solution: LCM of 6 and 4 is 12.
Convert: \(\frac{34}{12} - \frac{21}{12} = \frac{13}{12} = \mathbf{1\frac{1}{12}}\)

Q3. \(2\frac{2}{5} + 1\frac{3}{4}\) Solution: Convert to improper: \(\frac{12}{5} + \frac{7}{4}\)
LCM is 20: \(\frac{48}{20} + \frac{35}{20} = \frac{83}{20} = \mathbf{4\frac{3}{20}}\)

Q4. \(4\frac{1}{6} - 2\frac{2}{3}\) Solution: Convert: \(\frac{25}{6} - \frac{8}{3}\)
LCM is 6: \(\frac{25}{6} - \frac{16}{6} = \frac{9}{6} = \frac{3}{2} = \mathbf{1\frac{1}{2}}\)

Exit Ticket Solutions (Student Page 4)

Q1 Solution: \(\frac{13}{5} - \frac{4}{3} = \frac{39}{15} - \frac{20}{15} = \frac{19}{15} = \mathbf{1\frac{4}{15}}\)

Q2 Solution: \(3\frac{3}{8} + 1\frac{1}{2} = 3\frac{3}{8} + 1\frac{4}{8} = \mathbf{4\frac{7}{8}}\)

Q3 Solution: \(5\frac{1}{6} - 2\frac{2}{3} = 4\frac{7}{6} - 2\frac{4}{6} = \mathbf{2\frac{1}{2}}\)

Q4 Expected Answer (Annotation Code): Scholars must list: 1. BOX numbers/units, 2. UNDERLINE the specific question, 3. LABEL logic & final answers.

Q5 Expected Answer (Colored Pen): To see growth, track errors, and ensure mistakes are analyzed clearly rather than hidden or erased.

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7TH GRADE MATHEMATICS SESSION 3: DIAGNOSTIC (PAGE 3)

Section 7: Expressions (Q27–Q30)

Q27. Evaluate \( 3n - 5 \) when \( n = 4 \).

Q28. Evaluate \( a^2 + 2b \) when \( a = 3, \, b = 5 \).

Q29. Translate into an algebraic expression:
"7 less than twice a number, y"

Q30. Simplify by combining like terms:
\( 4x + 3y - 2x + y \)

Section 8: Geometry (Q31–Q34)

Q31. Find the Area of the Triangle:

Base = 8 cm, Height = 5 cm

Q32. Find Volume of Rectangular Prism:

Length = 6 in, Width = 3 in, Height = 4 in

Q33. Find Perimeter of Rectangle:

Width = 12 meters, Length = 7 meters

Q34. Plot coordinates: X(2, -3) & Y(-4, 1)

[-4 to 4 quadrant grid placeholder]

Section 9: Multi-Step Word Problems (Q35–Q36)

Annotate (Box numbers, Underline prompt, Label steps) and solve each multi-step context below.

Q35. A school theater ticket costs $8.50 for students and $12.00 for adults. If a group buys 5 student tickets and 3 adult tickets, what is the total cost of the purchase?

Scratch Work Space:

Labeled Sentence Answer:

Q36. Caleb has a piece of rope measuring \(12\frac{1}{2}\) feet. He cuts off two smaller pieces, each measuring \(3\frac{3}{4}\) feet. How many feet of rope remain?

Scratch Work Space:

Labeled Sentence Answer:

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7TH GRADE MATHEMATICS SESSION 3: DIAGNOSTIC (PAGE 4)

Section 9 (Cont.): Multi-Step Word Problems (Q37–Q39)

Q37. A local bookshop sells paperback novels in bundles. You can purchase 4 books for $26.00. At this rate, how much would a student pay to buy 10 books?

Find Unit Rate:

Final Cost & Sentence:

Q38. Sarah saves $45.00 each month. If she represents 20% of her monthly wages, what is her total monthly wage amount in dollars?

Fraction/Percent Set-up:

Final Answer & Sentence:

Q39. An industrial box measures 12 inches by 5 inches by 8 inches. The packaging material inside occupies exactly \(25\%\) of the total volume. How many cubic inches of volume remain completely free?

Calculate Volume & Occupied Space:

Free Volume & Sentence:

Section 10: Academic Reflection & Goal Setting

Answer each reflective prompt honestly. Your teacher uses this to customize support systems.

1. What math topic are you most confident in?

2. What math topic makes you feel nervous?

3. How do you learn best in a classroom?

4. What is your ultimate goal for 7th grade math?

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2. Operations Q5: \(458 \times 27 = \mathbf{12,366}\)
Q6: \(1,512 \div 12 = \mathbf{126}\)
Q7: \(24 - 12 + 8 = \mathbf{20}\)
Q8: \(5 \times 25 - 10 = \mathbf{115}\)

3. Fractions Q9: Simplify: \(\frac{2}{3}\)
Q10: \(\frac{3}{5} = 0.6 < \frac{2}{3} = 0.66\); <
Q11: \(\frac{9}{24} + \frac{4}{24} = \mathbf{\frac{13}{24}}\)
Q12: \(3\frac{2}{8} - 1\frac{5}{8} = 2\frac{10}{8} - 1\frac{5}{8} = \mathbf{1\frac{5}{8}}\)
Q13: \(\frac{4}{5} \times \frac{3}{8} = \frac{12}{40} = \mathbf{\frac{3}{10}}\)
Q14: \(\frac{2}{3} \times \frac{9}{4} = \frac{18}{12} = \mathbf{1\frac{1}{2}}\) (or \(\frac{3}{2}\))

4. Decimals Q15: \(14.59 + 3.80 = \mathbf{18.39}\)
Q16: \(20.40 - 5.17 = \mathbf{15.23}\)
Q17: \(1.2 \times 0.05 = \mathbf{0.06}\)
Q18: \(4.8 \div 0.06 = 480 \div 6 = \mathbf{80}\)

5. Percents Equivalence Table

Q22: \(15\%\) of \(80 = 0.15 \times 80 = \mathbf{12}\)

6. Ratios Q23: \(4:9 = 20:\mathbf{45}\) (mult. by 5)
Q24: \(180 \div 6 = \mathbf{30}\) mpg
Q25: Ratio mult. is 5: 20 Blue cups = 8 blue cups.
Q26: yellow multiplier of 2 is 10 Yellow cups.

7. Expressions Q27: \(3(4) - 5 = 12 - 5 = \mathbf{7}\)
Q28: \(3^2 + 2(5) = 9 + 10 = \mathbf{19}\)
Q29: \(2y - 7\)
Q30: \(4x - 2x + 3y + y = \mathbf{2x + 4y}\)

8. Geometry Q31: \(\frac{1}{2} \times 8 \times 5 = \mathbf{20}\) cm²
Q32: \(6 \times 3 \times 4 = \mathbf{72}\) in³
Q33: \(2(12) + 2(7) = 24 + 14 = \mathbf{38}\) m
Q34: Coordinate points plotted accurately.

Section 9: Multi-Step Word Problems Key (Q35–Q39)

Q35. Solution:
Student tickets: \(5 \times \$8.50 = \$42.50\)
Adult tickets: \(3 \times \$12.00 = \$36.00\)
Total: \(\$42.50 + \$36.00 = \mathbf{\$78.50}\)

Q36. Solution:
Ropes cut off: \(2 \times 3\frac{3}{4} = 7\frac{1}{2}\) feet
Rope remaining: \(12\frac{1}{2} - 7\frac{1}{2} = \mathbf{5}\) feet remaining

Q37. Solution:
Unit rate: \(\$26.00 \div 4 = \$6.50\) per book
Total for 10 books: \(10 \times \$6.50 = \mathbf{\$65.00}\)

Q38. Solution:
\(20\% = \frac{1}{5}\) of wages.
Total wages: \(\$45.00 \times 5 = \mathbf{\$225.00}\)

Q39. Solution:
Total Volume: \(12 \times 5 \times 8 = 480\) cubic inches.
Occupied Space: \(25\% = 0.25 \times 480 = 120\) cubic inches.
Remaining Free Volume: \(480 - 120 = \mathbf{360}\) cubic inches.

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