Illustrative Mathematics
Ratio of Boys to Girls
How many boys are in the class? Here is an introductory exercise describing ratios. The commentary shows different ways learners can approach the problem, using a tape diagram of boys to girls and using a table. The activity includes...
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Ratios and Equivalent Ratios
In this equivalent ratios learning exercise, students simplify 6 ratios and write each in 2 different ways. Students solve 8 proportional equations using equivalent ratios to find a missing term. Students solve 2 test prep questions...
Mathematics Assessment Project
Ratios and Proportional Relationships
Time to see what they've learned. Seventh graders solve a set of seven short problems in the ratios and proportional relationships domain. Applications include photo negatives, washing machines, coffee powder, sleep, stamps, etc.
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Proportional Reasoning: Ratio Applications
In this ratio applications worksheet, 8th graders solve and complete 24 various types of problems that include proportional reasoning. First, they solve each pair of similar figures for the given variable. Then, students write and solve...
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Equivalent Ratios (Practice 18.2)
In this ratios worksheet, students solve 22 problems in which equivalent ratios are found or ratios are expressed in simplest form.
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Equivalent Ratios (Homework 18.2)
In this ratios worksheet, students solve 20 problems that pertain to equivalent ratios and writing ratios in the simplest form.
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Measure a Tree
Young mathematicians explore data collection and mathematical problem solving. They will work in cooperative groups to determine the height of a tree by measuring several predetermined distances on the ground. They will use the data...
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Ratios of Similar Figures
Students identify the ratios of different triangles. In this geometry lesson, students identify the similarity and differences of triangles. They use the navigator to move the sides of the triangle around.
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Chapter 15 Review, Section 2: Acid-Base Titration and pH
Keep it simple with this chemistry assignment. Learners examine an acid-base titration graph and answer four questions about the data. Then they will balance neutralization equations and calculate molarity for several specific solutions....
Mathematics Assessment Project
Bird’s Eggs
Are the length and width of birds' eggs related? Young ornathologists use a scatter plot to investigate the relationship between the length and width of eggs for Mallard ducks. They then determine the egg with the greatest...
University of Nottingham
Drawing to Scale: A Garden
See how design and geometry go hand in hand. The activity asks learners to use geometry to design a backyard garden given dimensions of each feature. Scholars work with ratios and scale to develop an accurate scale drawing that includes...
Mathematics Assessment Project
Comparing Strategies for Proportion Problems
Having problems with proportions? Then solve these proportion problems with an exercise that asks learners to first individually solve a set of problems involving ratios and proportional reasoning. Groups then discuss provided sample...
Mathematics Assessment Project
100 People
It's a small world after all. In the middle school assessment task, learners use data that imagines there are only 100 people in the world to answer questions about population demographics. Young mathematicians use ratio and proportional...
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Ratios in Right Triangles
Learners calculate the sides of right triangles in this trigonometric ratios lesson. They use Cabri Jr. software and TI-83 or TI-84 calculators to find the side lengths and their ratios to each other for various triangles. The provided...
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Trigonometry Ratios
Students identify the different angles and sides of a triangle. In this geometry instructional activity, students identify the six trigonometric ratios. They graph the graph of each trig function and analyze it.
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Problem Solving Decisions: Choose a Method
Walk your scholars through the process of finding percentages using this problem-solving instructional activity! A word problem asks students to figure out how many pieces of a puzzle are left, if the completed 750 pieces make up 60% of...
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Effects of Changing Dimensions Proportionally
In this geometry instructional activity, learners describe the effect of a proportional change on the perimeter or circumference and area of the given circles or quadrilaterals. The one page instructional activity contains ten...
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Recipe: Unit Rate
Students solve problems using ratios and proportions. In this algebra lesson, students identify the unit rate and convert between fractions and decimals. They create graphs from their data.
Mathematics Assessment Project
Sharing Costs Equitably: Traveling to School
Drive or take the school bus? Class members determine the amount each student would have to pay in a carpool situation. They then evaluate the cost in a set of provided examples. I think I'd rather take the school bus!
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Water Conservation
Students explore types of water reserves. In this water conservation activity, students brainstorm ways water are used in their homes. Students use a graduated cylinder to simulate the amount of water on Earth and the amount that humans...
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Similar Figures
Your class will use a TI calculator to drag vertices of rectangles and triangles to observe what happens to ratios of pairs of sides within each figure. They will apply the definition of similarity to identify similar shapes. The lesson...
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Effects of Changing Dimensions Proportionally
In this geometry worksheet, 10th graders examine the effect of changing the dimensions of a figure proportionally on the perimeter, circumference, and area. The one page worksheet contains six problems. Answers are included.
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Similar Triangles and Proportions
Pupils investigate similar triangles and proportions as they make conjectures about the length of sides of similar triangles. For this lesson, have your class construct similar triangles using Cabri Jr so that they share a common vertex.
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Home Sales Records
Teach your class how to calculate monthly payments on a home mortgage. In this percent instructional activity, students calculate the monthly payment on a home mortgage, and compare different lengths of time and the interest rates for...