Curated OER
The Tangent Ratio
In this geometry worksheet, students have to calculate the tangent ratio, given the values of the sides of a triangle. Students should be familiar with basic trig functions. There is an answer key.
National Council of Teachers of Mathematics
Scale Factor
Does doubling mean everything doubles? Learners adjust the scale factor between two rectangles. Using the calculated measurements, pupils investigate the ratios between the lengths, perimeters, and areas of the rectangles.
Curated OER
Robot Ratios
Students measure the activity and parts of a robot. In this algebra lesson, students explore ratio and proportion using their classroom. They apply properties of fractions as they cross multiply to solve problems.
Helping with Math
Ratio and Proportion: Simplifying Ratios (1 of 2)
Here is a set of 24 pairs of numbers for which kids reduce the ratios to their simplest form. It is a simple and straightforward assignment, meant by the publisher to address CCSS.Math.Content.6.RP.3. Note, however, that it only requires...
Curated OER
Ratio Relationships
Students solve for the different ratio and proportion of a problem. In this geometry lesson, students show their knowledge of how to solve proportional relationships. They convert between percent, decimals and fractions.
Curated OER
Using Variables And Ratios To Get You in the Right Gear
Students examine the use of variable and ratio in everyday situations including figuring out the gear ratios for the gears on a 12 speed bike. They use the bubble sort technique to write a computer program which will determine the...
Curated OER
Scale factors: Ratios and Proportions
Learners create building and models using scale factors. In this geometry lesson, students apply the properties of ratio and proportion to solve problems. They identify the means and extremes property of cross multiplication.
Texas Instruments
Golden Ratio Lab
Learners investigate the Golden Ratio in this algebra I or geometry activity. They explore the Golden Ratio as the conduct an experiment in which they collect various measurement from their team members and find the regression equations...
Curated OER
Ratio of Perimeter and Area
For this similar figures worksheet, students complete a chart calculating the perimeter and area of four rectangles and then compare the ratios. There are 4 questions.
Curated OER
Hidden Ratios
In this ratios worksheet, students measure and record specified distances on a drawing of a head and shoulders. Students record information onto their graphing calculators and look for patterns in their information. They find the mean of...
Curated OER
Solving Problems Using Equivalent Ratios
In this equivalent ratios worksheet, students solve word problems when given an equivalent ratio of the answer. Students complete 7 problems.
Curated OER
Trigonometry Ratios in Right Triangles
In this trigonometry ratios in right triangles worksheet, 10th graders solve 6 different right triangle problems. First, they find the values of x and y in each triangle, rounding each to the nearest tenth. Then, students locate the...
Curated OER
Get Geared Up
Middle schoolers calculate gear ratio as they solve word problems. They discuss and find slopes as they relate to real life. Additionally, they hey use ratio and proportion to make predictions and solve problems.
Curated OER
Class of Gold
How can you see a number in nature? Here, learners discover both Fibonacci numbers and the golden ratio by exploring a number of different resources. Note: Some of the resources are older and may be missing some of the links, but the...
Curated OER
The Attack of the Manhole Monsters
Students explore the concept of similarity. They examine such topics as ratio of corresponding sides, internal ratios and scaling factors. After watching a video, student groups perform experiments outside the school building.
Illustrative Mathematics
Art Class, Assessment Variation
Play with paint and decide the ratio to make different shades of green. When mixing paint colors, your painters should decide which ratios make the same shade and what is needed to mix other ratios for a different shade of green. This is...
EngageNY
Sine and Cosine of Complementary Angles and Special Angles
Building trigonometric basics here will last a mathematical lifetime. Learners expand on the previous lesson in a 36-part series by examining relationships between the sine and cosine of complementary angles. They also review the ratios...
CK-12 Foundation
Sums of Geometric Series
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
Curated OER
Equal Ratios
In this ratios learning exercise, students write equal ratios to numbers, state if problems are equal or not, solve word problems, and more. This learning exercise would be an excellent homework assignment.
Curated OER
Geometry Involving Figures - Week 12 (Ratio and Surface Area)
In this ratio and surface area instructional activity, students find the ratio of surface area of one figure to another. They determine the length of sides and angles through similar figures. Students use trigonometric ratios to find the...
Willow Tree
Ratios and Proportions with Congruent and Similar Polygons
Investigate how similar and congruent figures compare. Learners understand congruent figures have congruent sides and angles, but similar figures only have congruent angles — their sides are proportional. After learning the...
Curated OER
Mathematics Within: Algebraic Patterns
Students comprehend that ratios and fractions are interchangeable. They compare ratios using common denominators, cross multiplication, and intuition. Students find equivalent fractions. They comprehend that equivalent ratios do not...
Curated OER
Ratio
Students calculate the ratio and apply it to construction. In this geometry lesson, students convert between different units and use decimals and fractions interchangeable. They find the fraction of a given amount using the calculator.
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
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