EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different ratios and...
Curated OER
Proportional Segments Between Parallel Lines
Learners identify similar triangles. In this proportional segments lesson, students identify corresponding sides, set up ratios, and find the length of the missing side of a triangle. They use the parallel/proportionality conjecture to...
Curated OER
Proportions and Scale Factor for Measurement
Learners explore the concept of proportion. In this proportion lesson, students use google maps to find the distance the their school is from home. Learners discuss what a scale factor is through teacher led discussion. Students...
Curated OER
Points on a Line Segment
In this geometry worksheet, 10th graders solve a problem relating to the length of a line segment. The location of the points on the segment is given in terms of ratios. The one page worksheet has one problem with the solution.
Curated OER
Solve Percent Problems Using Proportions
Students explore proportions and ratios. In this solving percent problems lesson, students examine percent problems including tax and percent of change.
Curated OER
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.
EngageNY
Markup and Markdown Problems
There is a 100 percent chance this resource will help pupils connect percents to financial literacy. Young mathematicians use their knowledge of percents to find markups and markdowns in financial situations in the seventh segment in a...
NTTI
If You Hopped Like a Frog
Get your frogs hopping by introducing them to the concepts of ratio and proportion. As a class, they perform arithmetic operations using ratios then discover how they represent quantitative relationships. In groups, they write their own...
EngageNY
Families of Parallel Lines and the Circumference of the Earth
How do you fit a tape measure around the Earth? No need if you know a little geometry! Pupils begin by extending their understanding of the Side Splitter Theorem to a transversal cut by parallel lines. Once they identify the proportional...
Utah Education Network (UEN)
Linear Graphs Using Proportions and Rates
Using a TI-73 or other similar graphing calculator middle school math majors investigate the linear relationship of equivalent proportions. After a brief introduction by the teacher, class members participate in a timed pair share...
EngageNY
Population Problems
Find the percent of the population that meets the criteria. The 17th segment of a 20-part unit presents problems that involve percents of a population. Pupils use tape diagrams to create equations to find the percents of subgroups of the...
Curated OER
Parallel Lines and Proportional Parts
In this parallel lines and proportional parts instructional activity, 10th graders solve 5 different problems related to determining whether lines are parallel and proportional in each figure. First, they refer to the figure shown at the...
Curated OER
Solving Problems with Proportions
Seventh graders explore the concept of proportions. In this proportion lesson plan, 7th graders play a review game involving whiteboards. Students work in groups to solve a given proportion the fastest. Students also work in pairs to...
Curated OER
Proportion Problems
Seventh graders explore the concept of proportions. In this proportions lesson, 7th graders determine which offer is the better deal given two pizza offers. Students use cross products to solve proportions. Students write directions...
Curated OER
Parallel Lines and Proportional Parts
In this parallel lines and proportional parts worksheet, 10th graders solve 6 problems that include applying the theorems involved in proportional parts of triangles. First, they identify and describe each theorem. Then, students find...
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...
EngageNY
Mid-Module Assessment Task: Grade 7 Mathematics Module 4
Assess the ability of the class to solve percent problems with an assessment that covers a variety of percent problems from basic to multi-step. Pupils make connections between percent problems and proportional thinking to complete the...
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...
California Education Partners
Miguel's Milkshakes
Moooove over, there's a better deal over there! The fourth segment in a series of eight requires individuals to determine the best unit cost for milk. Scholars calculate the least amount they can spend on a particular quantity of milk....
EngageNY
Similarity and the Angle Bisector Theorem
Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to...
Teach Engineering
Spring Away!
The last segment of the nine-part unit makes a connection between springs and linear equations. Groups hang weights from the spring and measure its length. Then, using the data collected, they calculate the slope to find the k-value of...
Curated OER
Solving Percent Problems with Proportions
Seventh graders explore the concept of percent problems. In this percent problem instructional activity, 7th graders use proportion equations to solve percent problems. Students find percentages of numbers and use proportions to...
EngageNY
Mid-Module Assessment Task: Grade 8 Module 4
Determine what the class knows about linear equations. The three-question mid-module assessment is segment 15 in a 33-part series. The assessment includes writing and solving one-variable linear equations and graphing proportional...
EngageNY
Ratios of Fractions and Their Unit Rates 2
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of tiles...