Day 29 of 30
Review problem-solving strategies
Content is AI-assisted and continuously improved through educator review
Learning Objective
Students will be able to review and apply knowledge of problem-solving strategies.
In this lesson, we'll explore how to review problem-solving strategies. Mathematical thinking develops logical reasoning and problem-solving abilities.
Rates compare two different quantities. A unit rate expresses the comparison per one unit: 60 miles per hour, $3.50 per pound. To find a unit rate, divide: 120 miles in 3 hours → 120 ÷ 3 = 40 miles per hour. Percentages are rates per 100: 10% = 10 per 100 = 0.10. Finding 10% is easy: move the decimal point one place left. Finding 1%: move it two places. Scale drawings use a ratio to represent real dimensions: a map at 1 inch = 50 miles means distances on the map are divided by the scale to find real distances. Rates and ratios appear in cooking, construction, science, and everyday comparisons.
As you work through today's material, pay attention to the examples and try to identify the patterns or strategies being used. This will help you apply these concepts to new problems.
Take notes on key points and make connections to what you've already learned in previous lessons.
A mathematical question requiring analysis and solution
The result obtained by solving a problem
Instructions
Materials Needed
- Notebook
- Calculator (if needed)
- Graph paper
Solve for x: x + 7 = 15
Solve for y: 3y = 12
If 2x - 5 = 9, what is x?
Teaching Tip
For this age group: Balance direct instruction with collaborative activities. Allow students to explain their thinking and make connections to prior knowledge when exploring review problem-solving strategies.