Learning Resource Type

Learning Activity

Photographs and Proportions

Subject Area





In this activity, the students will visit the website, Math Interactives, to reinforce a lesson on proportions. The students will demonstrate their knowledge of proportions by calculating missing values that will develop photographs. For completion, the students will arrange the photographs to view the final product.

This activity results from the ALEX Resource GAP Project.

    Mathematics (2019) Grade(s): 6


    Use ratio and rate reasoning to solve mathematical and real-world problems (including but not limited to percent, measurement conversion, and equivalent ratios) using a variety of models, including tables of equivalent ratios, tape diagrams, double number lines, and equations.

    Unpacked Content



    • Rate
    • Ratio
    • Rate reasoning
    • Ratio reasoning
    • Transform units
    • Quantities
    • Ratio Tables
    • Double Number Line Diagram
    • Percents
    • Coordinate Plane
    • Ordered Pairs
    • Quadrant I
    • Tape Diagrams
    • Unit Rate
    • Constant Speed


    Students know:
    • Strategies for representing contexts involving rates and ratios including. tables of equivalent ratios, changing to unit rate, tape diagrams, double number lines, equations, and plots on coordinate planes.
    • Strategies for finding equivalent ratios,
    • Strategies for using ratio reasoning to convert measurement units.
    • Strategies to recognize that a conversion factor is a fraction equal to 1 since the quantity described in the numerator and denominator is the same.
    • Strategies for converting between fractions, decimals and percents.
    • Strategies for finding the whole when given the part and percent in a mathematical and contextual situation.
    • Strategies for finding the part, given the whole and the percent in mathematical and contextual situation.
    • Strategies for finding the percent, given the whole and the part in mathematical and contextual situation.


    Students are able to:
    • Represent ratio and rate situations using a variety of strategies (e.g., tables of equivalent ratios, changing to unit rate, tape diagrams, double number line diagrams, equations, and plots on coordinate planes).
    • Use ratio, rates, and multiplicative reasoning to explain connections among representations and justify solutions in various contexts, including measurement, prices and geometry.
    • Understand the multiplicative relationship between ratio comparisons in a table by writing an equation.
    • Plot ratios as ordered pairs.
    • Solve and justify solutions for rate problems including unit pricing, constant speed, measurement conversions, and situations involving percents.
    • Solve problems and justify solutions when finding the whole given a part and the percent.
    • Model using an equivalent fraction and decimal to percents.
    • Use ratio reasoning, multiplication, and division to transform and interpret measurements.


    Students understand that:
    • A unit rate is a ratio (a:b) of two measurements in which b is one.
    • A symbolic representation of relevant features of a real-world problem can provide for resolution of the problem and interpretation of the situation.
    • When computing with quantities the transformation and interpretation of the resulting unit is dependent on the particular operation performed.


    Learning Objectives

    Learning Objectives

    The students will demonstrate how to find missing values of a proportion in real-world math problems using ratios and rates.

    Activity Details

    The learning activity will be best used after teaching a lesson on proportions. The teacher needs to discuss the directions of the website. As the students view the website, the teacher will instruct the students to do the activity called "3-Term Ratios". In the upper right-hand corner, there is an icon to make the screen larger. Each student will have a different puzzle. In order to see the photos, the student will need to find the missing values in the proportions. After completing the photos, the student will arrange the pictures in the puzzle to see the final picture.

    Assessment Strategies

    Assessment Strategies

    The student will be able to solve real-world proportions problems using rates and ratios.

    The teacher will use the following questions as an exit slip:

    1. If a bottle rotates through 270 degrees in 3 seconds, how many degrees does it rotate in 2 seconds?

    2. Mickey is looking for his ties and discovers that he has 20 shirts for every 4 ties. If he has 30 shirts, how many ties does he have?

    3. Duke is looking for his trousers and discovers that he has 25 shirts for every 5 trousers. If he has 10 shirts, how many trousers does he have?

    Variation Tips

    The interactive game can be lengthy, therefore, the teacher can place students in collaborative groups to save time.

    Background and Preparation

    Background / Preparation

    The teacher will need to present a lesson on proportions. The teacher will need to be familiar with the website. The teacher will need to project and manipulate the website on an interactive whiteboard. Each student will need an electronic device with internet capability and Adobe Flash. The website has worksheets that can be printed for extra practice.  

    Digital Tools / Resources