Curated OER
Understanding Proportions and Scale Drawings
Proportions are ratios found using multiplication or division. Middle schoolers solve measurement problems, find a figure's missing dimension, and find the distance between two points. Resource features four lesson plans with detailed...
Curated OER
Using Proportions to Solve Problems
Skittles and math? Pupils will work as a class to determine how many orange Skittles are in a large bag by using proportions. They will problem solve, estimate, and share their thinking. Then, they will each receive a small bag of...
Texas Instruments
Is It or Isn't It Proportional
How can you tell if number relationships are proportional? Mathematicians investigate proportional relationships. They compare and contrast functions and graphs to determine the characteristics of proportional relationships, as well as...
National Security Agency
Partying with Proportions and Percents
Examine ratios and proportions in several real-world scenarios. Children will calculate unit rates, work with proportions and percentages as they plan a party, purchase produce, and take a tally. This lesson plan recommends five...
Curated OER
Worksheet #4: Simplify Algebraic Expressions With Two Variables
In this algebraic expression worksheet, students simplify algebraic expressions and solve proportions, and write equations from story problems. Thirteen of the 49 problems are fill in the blank, and the remainder are multiple choice.
Curated OER
Word Problems Dealing with Ratio and Proportion
Mindful middle-schoolers read and solve a number of word problems. Learners copy and discuss what they believe their strategies are in solving each problem. They also write their findings and share with the rest of the class.
Curated OER
Using Algebra to Explore Problem Space
Students apply their knowledge of math by rewriting word problems using equations. For this word problem lesson, students build upon previous knowledge as they set up the correct steps to solve word problems. This lesson is full of hints...
EngageNY
Solving Rational Equations
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
Curated OER
Solving Applications: Systems of Two Equations
In this algebra worksheet, students solve 9 word problems. Each problem involves two sets of information that students must translate into math symbols. The two equations are then solved for the one solution that is true for both.
Curated OER
Stock Swaps, Variation 3
More on the fictitious takeover of the Apple Corporation by Microsoft. For this scenario, Microsoft has $28.00 per share to spare, so how many do they need to offer to make an even trade? This is an engaging problem to solve when...
Illustrative Mathematics
Gotham City Taxis
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
EngageNY
Linear Equations in Disguise
In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...
Curated OER
The American Flag-Basic Ratios and Proportions
Students solve problems with ratios and proportions. In this algebra activity,students apply the concept of ratios and proportions to the real world.
Curated OER
Solving Equations Using Two Operations
Need more detail in showing your class how to solve two-step equations and proportions? This lesson plan outlines the steps young mathematicians need to solve simple equations and check their results.
West Contra Costa Unified School District
Using Bar Models to Solve Rate Problems
Pupils visualize distance-rate-time problems by using bar models. The lesson presents examples of four different types of rate problems and shows how they can be solved using bar models and equations. Each example is followed by a...
EngageNY
Word Problems Leading to Rational Equations
Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question — great...
Curated OER
Applications Using Rational Equations
Algebra learners explore the concept of writing equations using rational expressions. This work sheet contains a number of word problems including reciprocal number problems, work problems, and problems can that be solved using...
Curated OER
Pike Problems in Lake Davis
Pike fish pose a threat to native trout and catfish in lakes. Would you drain and poison a lake to get rid of the Pike fish? If the lake was drained and poisoned, then refilled and repopulated with trout and catfish, how would you...
Curated OER
New York State Testing Program
In this state testing worksheet, students solve problems on a variety of topics studied throughout the year. They find the median, solve algebraic equations, solve proportions, simplify expressions, find percents, and complete...
Curated OER
Proportions
Middle schoolers examine the mathematical concept of proportions in an attempt to apply them in various types of problems. The real application of proportions is often found in word problems which requires a them to also practice a...
Curated OER
Algebra 1: Slope as Rate
Students solve problems with slopes. In this algebra lesson, students identify the slope of a line and relate it to the rate of change. They graph their lines on the TI and observe changes in the lines.
Curated OER
Solve for Scale Factors Using Proportions
Eighth graders solve problems using proportions with scaled drawings. They work with maps and blue-prints discussing scales and plans and examine different polygons and figure out the scale factors or proportions they have been changed by.
Curated OER
Scale factors: Ratios and Proportions
Students 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.
EngageNY
Mixture Problems
What percent of the mixture is juice? Pairs use their knowledge of proportions to determine what percent a mixture is juice given the percent of juice in the components. Pupils use the procedure learned with the juice mixture problem to...