Math Roots & Real-World Math
This note-taking method, introduced in Week 1, encourages organized, reflective learning in three parts: Header, Body, and Summary.
What is the Nkabanhle Method?
0.45 expressed as a fraction in simplest form.
What is ⁹⁄₂₀? (45/100 = 9/20)
The name for the top number in a fraction.
What is the numerator?
The probability of flipping heads on a fair coin, expressed as a fraction.
What is ½?
The ratio of triangles to circles if there are 4 triangles and 8 circles.
What is 1:2? (4:8 simplifies to 1:2)
If a $40 item is on sale for 25% off, this is the final price after the discount.
What is $30? ($40 × 0.25 = $10 off; $40 – $10 = $30)
⅜ as a percent.
What is 37.5%? (3 ÷ 8 = 0.375 → 37.5%)
A picture representing 75% as a fraction of a shaded circle.
What is ¾ shaded? (75% = 3/4)
If 40% of scholars prefer digital games, the fraction of scholars who do NOT prefer them.
What is ⅗? (100% – 40% = 60% = 60/100 = 3/5)
If 3 bags of rice cost $15, the cost of 7 bags at the same rate.
What is $35? ($15 ÷ 3 = $5 per bag; 7 × $5 = $35)
In marketplace math, adding a 7% tax to a $60 purchase results in this total cost.
What is $64.20? ($60 × 0.07 = $4.20; $60 + $4.20 = $64.20)
Convert 12.5% to a fraction in simplest form.
What is ⅛? (12.5/100 = 125/1000 = 1/8)
If 0.8 of a garden is planted, this fraction represents the unplanted part.
What is ⅕? (1 – 0.8 = 0.2 = ⅕)
In a survey, 15 out of 20 scholars said they enjoy math. This is the percent.
What is 75%? (15 ÷ 20 = 0.75 → 75%)
A map scale is 1 cm = 10 km. If two towns are 4.5 cm apart on the map, the real distance is this.
What is 45 km? (4.5 × 10 = 45)
The principle from Week 1 that emphasizes how all parts of math—and our community—connect to form a whole.
What is Harmony of Wholeness? (Also accept: Ubuntu or interconnectedness)
0.1666... (repeating) as a fraction.
What is ⅙? (1 ÷ 6 = 0.1666...)
The fraction, decimal, and percent for a 3:5 ratio.
What is ⅗, 0.6, 60%? (3 ÷ 5 = 0.6 → 60%)
The “range” of this data set: 12, 7, 15, 9, 20.
What is 13? (20 – 7 = 13)
The missing number in the proportion: ⅔ = ?⁄₁₈.
What is 12? (2/3 = 12/18)
A trader buys bracelets for $5 each and sells them for $12. Her percent markup is this.
What is 140%? (Profit = $7; $7 ÷ $5 = 1.4 → 140%)
If ⅖ of a class are artists, this is the decimal and percent equivalent.
What is 0.4 and 40%? (2 ÷ 5 = 0.4 → 40%)
In a Kente cloth pattern, 30% is gold, ½ is blue, and the rest is green. This percent is green.
What is 20%? (30% + 50% = 80%; 100% – 80% = 20%)
If the chance of rain is 30%, the probability it will NOT rain, expressed as a decimal and fraction.
What is 0.7 and ⁷⁄₁₀? (100% – 30% = 70% = 0.7 = 7/10)
A recipe calls for 2 cups of flour for 12 muffins. To make 30 muffins, you need this many cups.
What is 5 cups? (2/12 = x/30; x = (2×30)/12 = 5)