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...
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...
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...
Curated OER
Parallel Lines and Proportional Parts
In this parallel lines and proportional parts 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 top to...
Curated OER
Parallel Lines and Proportional Parts
In this parallel lines and proportional parts activity, 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 the...
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...
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...
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...
Curated OER
Right Triangles
For this right triangles worksheet, 10th graders solve 10 different problems that include determining the means proportionally in each right triangle. First, they use the given information to determine the measure of each line segment....
Curated OER
Exploring Similar Polygons
In this exploring similar polygons worksheet, 10th graders solve 9 various types of problems related to determining whether each polygon is similar or not. First, they write 3 equal ratios to show corresponding sides are proportional to...
Curated OER
Similar Triangles
For this similar triangles worksheet, 10th graders solve and complete 10 different problems related to determining the sides of similar triangles. First, they write three equal ratios to show the corresponding sides that are...
Curated OER
Exploring Similar Polygons
In this exploring similar polygons worksheet, 10th graders solve 9 various problems that are related to similar polygons. First, they define similar and the symbol used to identify similar to another. Then, students find the measurement...
EngageNY
How Do Dilations Map Angles?
The key to understanding is making connections. Scholars explore angle dilations using properties of parallel lines. At completion, pupils prove that angles of a dilation preserve their original measure.
Curated OER
Geometry: Basic Constructions
For this geometry worksheet, 10th graders use a straightedge and a compass to construct congruent segments and angles, bisect a segment and an angle, construct perpendicular and parallel lines, construct tangents, circumscribe a circle...
Dick Blick Art Materials
Start with a Circle...
The Golden Ratio. The Divine Proportion. Yup. It's math and art blended into one colorful activity. Young artists combine colored tissue paper circles and parts of circles to create geometric patterns. As a bonus, kids get to figure out...
Curated OER
Geometric Proofs
For this geometric proof worksheet, students use geometric theorems and rules to prove given statements. They prove that given lines and angles are similar. This five-page worksheet contains ten problems.
EngageNY
Sampling Variability in the Sample Mean (part 1)
How accurate is data collected from a sample? Learners answer this question using a simulation to model data collected from a sample population. They analyze the data to understand the variability in the results.
EngageNY
Comparing the Ratio Method with the Parallel Method
Can you prove it? Lead your class through the development of the Side Splitter Theorem through proofs. Individuals connect the ratio and parallel method of dilation through an exploration of two proofs. After completing the proofs,...
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Curated OER
Modeling a Planetary Nebula
In this modeling a planetary nebula activity, students use a diagram to calculate the intensity at different radii from the center of the nebula. Students use the Pythagorean Theorem to determine the distance between two points on the...
Curated OER
As Populations Age, a Chance for Younger Nations
In this geography skills learning exercise, students read a 4-page article titled "As Populations Age, a Chance for Younger Nations." Students then respond to 4 short answer questions based on the content of the article.
Science Buddies
Science Buddies: Puppy Proportions: Growth Spurts & Weight Gain in a Dog
Puppies prove to be a fun and useful aid in this adorable experiment! By having access to, and measuring a puppy's body dimensions over a period of weeks or months, you can discover if segments of canine anatomy develop at different...
PBS
Pbs Learning Media: Harry's Job at a Candy Store
In this video segment from Cyberchase, Harry uses fractions to pack boxes of truffles at a candy store.
PBS
Pbs Learning Media: Aiming for the Basketball Hall of Fame
In this video segment from TV 411, two Atlanta Hawks players plan a driving route to reach the Basketball Hall of Fame. They use map scales to estimate their travel distances.