The first step in solving any math problem is to understand what is being asked. Read the problem carefully and identify what information is given and what needs to be found.

Once you understand the problem, come up with a plan to solve it. Decide which mathematical operations or concepts can be used to find the solution.

Execute the plan you devised in the previous step. Perform the necessary calculations or operations to find the solution to the problem.

After finding a solution, it's important to check your answer to ensure it is correct. Re-read the problem and verify that your solution makes sense in the context of the problem.

- Read the problem carefully and identify what is given and what needs to be found.
- Choose a strategy or operation to solve the problem (e.g., addition, subtraction, multiplication, division, etc.).
- Perform the necessary calculations to find the solution.
- Check your answer to ensure it is accurate and makes sense.

Let's consider an example problem:

*Tom has 3 apples. If he receives 5 more apples, how many apples will he have in total?*

Given that Tom has 3 apples and he receives 5 more, we can use addition to find the total number of apples:

*3 + 5 = 8*

So, Tom will have 8 apples in total.

.Study GuideGeometric Proportions Worksheet/Answer key

Geometric Proportions Worksheet/Answer key

Geometric Proportions Worksheet/Answer key

Geometric Proportions Worksheet/Answer key Numerical & Geometric Proportions

Number and Operations (NCTM)

Compute fluently and make reasonable estimates.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects.

Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Solve problems involving scale factors, using ratio and proportion.

Connections to the Grade 7 Focal Points (NCTM)

Measurement and Geometry: Students connect their work on proportionality with their work on area and volume by investigating similar objects. They understand that if a scale factor describes how corresponding lengths in two similar objects are related, then the square of the scale factor describes how corresponding areas are related, and the cube of the scale factor describes how corresponding volumes are related. Students apply their work on proportionality to measurement in different contexts, including converting among different units of measurement to solve problems involving rates such as motion at a constant speed. They also apply proportionality when they work with the circumference, radius, and diameter of a circle; when they find the area of a sector of a circle; and when they make scale drawings.