A $64 hoodie is discounted 25%. Find the savings and sale price.
- Savings = 0.25 × 64 = $16.
- Sale price = 64 − 16 = $48.
- Check: paying 75% gives 0.75 × 64 = $48.
MS. WHITBY’S PLAYGROUND · TSI MATH · WEEK 1
Day 1: Percents in everyday decisions
Learn and try together · Page 1 of 2
Name __________________________ Class __________ Date __________
Retrieval · 3 minutes
W1. Write 3/4 as a decimal.
W2. Find 10% of 80.
Mini-lesson · 7 minutes
Percent means per hundred: 18% = 18/100 = 0.18. For a percent of a quantity, multiply the whole by the decimal rate.
A discount subtracts from the original price. A tax adds to the price. A 20% discount leaves 80% of the original price.
Percent change = (amount of change ÷ original amount) × 100%. Identify whether it is an increase or a decrease. When money is requested, round only the final answer to cents.
A price rises from $60 to $69. What is the percent increase?
- Change = 69 − 60 = $9.
- Compare with the original: 9 ÷ 60 = 0.15.
- The price increased 15%, not 9%.
Guided practice · Start the 12-minute practice block
G1. Find 15% of 60.
G2. A $50 shirt is 20% off. What is the sale price in dollars?
MS. WHITBY’S PLAYGROUND · TSI MATH · WEEK 1
Day 1: Percents in everyday decisions
Independent practice and exit ticket · Page 2 of 2
Name __________________________ Class __________ Date __________
Practice · Complete the 12-minute practice block
P1. Find 12% of 250.
P2. 18 is 30% of what number?
P3. A price increases from $40 to $46. What is the percent increase? Give the number before the percent sign.
P4. A $24 item has 8.25% sales tax. What is the final total in dollars?
Independent exit ticket · 5 minutes
Complete without hints. Your teacher records the first attempt before review.
E1. Find 18% of 150.
E2. A price falls from $80 to $68. What is the percent decrease? Give the number before the percent sign.
Reflection · 3 minutes
Which is hardest for you: finding the percent amount, finding the final amount, or finding percent change? Name the step you will check next time.
MS. WHITBY’S PLAYGROUND · TSI MATH · WEEK 1
Day 2: Solve and check linear equations
Learn and try together · Page 1 of 2
Name __________________________ Class __________ Date __________
Retrieval · 3 minutes
W1. Evaluate 6 − (−4).
W2. Evaluate 3(x + 2) when x = 4.
Mini-lesson · 7 minutes
An equation states that two expressions are equal. Keep them equal by applying the same operation to both sides.
Simplify each side, distribute when needed, collect variable terms, then use inverse operations to isolate the variable. Keep negative signs attached to their terms.
Substitute the result into the original equation. In a word problem, label the unknown and include any starting fee before the per-unit charge.
Solve 4x − 3 = 21.
- Add 3 to both sides: 4x = 24.
- Divide both sides by 4: x = 6.
- Check: 4(6) − 3 = 21.
Solve 3(x + 2) = 2x + 11.
- Distribute: 3x + 6 = 2x + 11.
- Subtract 2x and then 6: x = 5.
- Check: 3(5 + 2) = 21 and 2(5) + 11 = 21.
Guided practice · Start the 12-minute practice block
G1. Solve 3x + 5 = 26.
G2. Solve 2(x − 3) = 14.
MS. WHITBY’S PLAYGROUND · TSI MATH · WEEK 1
Day 2: Solve and check linear equations
Independent practice and exit ticket · Page 2 of 2
Name __________________________ Class __________ Date __________
Practice · Complete the 12-minute practice block
P1. Solve 5x − 7 = 18.
P2. Solve 4(x + 2) = 3x + 15.
P3. Solve x/3 + 4 = 9.
P4. A taxi charges $4 plus $2.50 per mile. The total is $19. How many miles were traveled?
Independent exit ticket · 5 minutes
Complete without hints. Your teacher records the first attempt before review.
E1. Solve −2x + 9 = 1. Show a substitution check.
E2. A gym charges an $18 signup fee and $6 per week. A student has paid $54 total. How many weeks does that cover?
Reflection · 3 minutes
Choose one equation. Explain why your first operation keeps both sides equal.
MS. WHITBY’S PLAYGROUND · TSI MATH · WEEK 1
Day 3: Connect slope, tables, and equations
Learn and try together · Page 1 of 2
Name __________________________ Class __________ Date __________
Retrieval · 3 minutes
W1. Find the slope through (2, 5) and (6, 13).
W2. What is the y-intercept of y = 2x + 7?
Mini-lesson · 7 minutes
Slope m = change in y ÷ change in x = (y₂ − y₁)/(x₂ − x₁). Use the same point order in the numerator and denominator.
In y = mx + b, m is the rate and b is the value of y at x = 0. A positive slope increases; a negative slope decreases.
A horizontal line has slope 0. A vertical line has no defined slope because its change in x is zero; division by zero is undefined.
Find slope through (1, 5) and (4, 14).
- Change in y: 14 − 5 = 9. Change in x: 4 − 1 = 3.
- Slope = 9 ÷ 3 = 3.
- Use (1, 5): 5 = 3(1) + b, so b = 2 and y = 3x + 2.
A rental costs C = 4h + 12 dollars for h hours. Interpret the model and find the cost for 3 hours.
- The rate is $4 per hour. The initial charge is $12.
- For h = 3, C = 4(3) + 12 = $24.
- The initial charge is not the hourly rate.
Guided practice · Start the 12-minute practice block
G1. Find the slope through (1, 4) and (5, 16).
G2. For y = 2x + 5, find y when x = 4.
MS. WHITBY’S PLAYGROUND · TSI MATH · WEEK 1
Day 3: Connect slope, tables, and equations
Independent practice and exit ticket · Page 2 of 2
Name __________________________ Class __________ Date __________
Practice · Complete the 12-minute practice block
P1. A table contains (0, 3), (2, 9), and (4, 15). Find its constant rate of change.
P2. Write an equation in y = mx + b form for a line with slope −2 and y-intercept 7.
P3. The line through (4, 1) and (4, 9) is vertical. Is its slope 0 or undefined?
P4. A tank starts with 50 liters and loses 3 liters per minute. How many liters remain after 8 minutes?
Independent exit ticket · 5 minutes
Complete without hints. Your teacher records the first attempt before review.
E1. Find the slope through (−1, 5) and (3, −3).
E2. A rental has cost C = 4h + 12 dollars. What is the initial charge in dollars?
Reflection · 3 minutes
In a context of your choice, explain the units of slope and what the y-intercept represents.
MS. WHITBY’S PLAYGROUND · TSI MATH · WEEK 1
Day 4: Build and compare linear models
Learn and try together · Page 1 of 2
Name __________________________ Class __________ Date __________
Retrieval · 3 minutes
W1. Evaluate 12 + 3h at h = 2.
W2. Solve 5x = 30.
Mini-lesson · 7 minutes
A simple cost model is cost = starting fee + rate × quantity. Compare the same input and units for both plans.
To find when plans cost the same, set their expressions equal and solve. This is the intersection of two linear models.
The crossover tells you where costs are equal. To choose a cheaper plan for a particular situation, evaluate both models at that input.
Plan A costs $10 + $4h; Plan B costs $4 + $6h. At how many hours h are costs equal?
- Set 10 + 4h = 4 + 6h. Subtract 4h and then 4: 6 = 2h.
- h = 3 hours. Both plans cost $22 at h = 3.
- At 1 hour, A costs $14 and B costs $10; at 5 hours, A costs $30 and B costs $34.
For A = 12 + 3h and B = 6 + 5h, compare the costs at h = 4.
- A = 12 + 3(4) = $24.
- B = 6 + 5(4) = $26.
- Plan A is $2 cheaper for 4 hours.
Guided practice · Start the 12-minute practice block
G1. Plan A costs 12 + 3h dollars and Plan B costs 6 + 5h dollars. At how many hours h are they equal?
G2. For those same plans, which is cheaper at h = 2: A or B?
MS. WHITBY’S PLAYGROUND · TSI MATH · WEEK 1
Day 4: Build and compare linear models
Independent practice and exit ticket · Page 2 of 2
Name __________________________ Class __________ Date __________
Practice · Complete the 12-minute practice block
P1. Plan A costs 20 + 4h dollars and Plan B costs 8 + 6h dollars. At how many hours are they equal?
P2. Plan A costs 10 + 2m dollars; Plan B costs 4 + 3m dollars. At m = 8, how many dollars does the cheaper plan save?
P3. Delivery A charges $5 plus $1.50 per mile. Delivery B charges $2 plus $2 per mile. At how many miles do they cost the same?
P4. Printer A charges $15 plus $0.10 per page. Printer B charges $5 plus $0.20 per page. At how many pages are their costs equal?
Independent exit ticket · 5 minutes
Complete without hints. Your teacher records the first attempt before review.
E1. Plan A costs 18 + 2h dollars and Plan B costs 6 + 4h dollars. At how many hours are costs equal?
E2. Plan A costs 12 + 3h dollars and Plan B costs 6 + 5h dollars. At h = 5, how many dollars does the cheaper plan save?
Reflection · 3 minutes
Explain why the plan with the lower starting fee is not always cheaper.
MS. WHITBY’S PLAYGROUND · TSI MATH · WEEK 1
Day 5: Weekly practice check and corrections
Practice check · Page 1 of 2
Name __________________________ Class __________ Date __________
Directions 2 min · Independent check 18 min total across both pages. This is a classroom skill check, not an official TSIA2 test or predicted score.
Q1. What is 15% of 80?
Q2. A $48 jacket is discounted 25%. What is the sale price?
Q3. A price increases from $50 to $60. What is the percent increase?
Q4. Solve 4x − 7 = 21.
Q5. Solve 3(x + 2) = 24.
MS. WHITBY’S PLAYGROUND · TSI MATH · WEEK 1
Day 5: Weekly practice check and corrections
Practice check · Page 2 of 2
Name __________________________ Class __________ Date __________
Continue independently. After first attempts are collected: corrections 7 min and reflection 3 min.
Q6. What is the slope through (2, 7) and (6, 19)?
Q7. A table contains (0, 5), (2, 11), and (4, 17). Which equation matches?
Q8. A rental costs C = 2h + 9 dollars. What is the cost for 4 hours?
Q9. Plan A costs 14 + 2h dollars and Plan B costs 4 + 4h dollars. At how many hours do costs match?
Q10. Plan A costs 8 + 3h dollars and Plan B costs 2 + 5h dollars. At h = 4, which plan is cheaper?
Correction and next step
Choose one missed or uncertain question. Explain your original thinking, the correction, and what you will check next time. If all were correct, explain why one distractor is incorrect.