Percent Problems and Applications

This lesson, led by Mrs. Apia, covers understanding parts of a whole as a percent. Students learn to use the formula 'part equals percent times whole' to solve problems. The lesson includes five examples: a visual approach using a double number line, a numeric approach, an algebraic approach, comparing part to whole, and finding the percent. Each example demonstrates different methods to solve percent problems, using visual models, numeric calculations, and algebraic equations.

What is the formula used to relate the part, the whole, and the percent of the whole?

• percent = part * whole

• whole = part + percent

• part = percent * whole

• part = whole / percent

In Tai's math class, if 20% of 30 students earned an A, how many students is that?

• 5 students

• 6 students

• 7 students

• 8 students

Why did the visual model work well for the problem involving 20% of 30 students?

• Because 20% is a factor of 100

• Because 30 students can be split into 3 sections

• Because 30 students can be split into 4 sections

• Because 20% is a factor of 50

In Tai's English class, if 70% of 30 students completed an essay, how many students completed it?

• 21 students

• 20 students

• 19 students

• 18 students

In the algebraic approach, if a bag contains 300 pieces of candy and 28% are red, how many pieces are red?

• 85 pieces

• 82 pieces

• 83 pieces

• 84 pieces

If Zoe inflated 24 balloons, which is 15% of the total, how many balloons are there in total?

• 180 balloons

• 150 balloons

• 160 balloons

• 170 balloons

Haley has made 112 tickets out of a planned 320. What percent of the tickets has she produced?

• 35%

• 30%

• 32%

• 34%

What is the key takeaway from the lesson regarding solving percent problems?

• Equations are not useful

• Only visual models can be used

• Only numeric models can be used

• Both visual and numeric models can be used