EngageNY
Triangle Congruency Proofs (part 1)
Can they put it all together? Ninth graders apply what they know about proofs and triangle congruence to complete these proofs. These proofs go beyond the basic triangle congruence proofs and use various properties, theorems, and...
Illustrative Mathematics
What is a Trapezoid? (Part 2)
This collaborative activity investigates the meaning of a trapezoid and a parallelogram. It begins by presenting two different definitions of a trapezoid. Learners are to reason abstractly the difference between the two definitions and...
Curated OER
Counting on Frank
Eighth graders read a book "Counting on Frank" with a partner. Using the text, they identify eight clues and use their mathematical reasoning in real-life situations. They participate in a game and turn in a notebook in which they write...
Noyce Foundation
Photographs
Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.
Curated OER
Dragonfly
The speed of a dragonfly brings math into the real world as your learners collaboratively see the value in calculating unit rates in direct proportion problems. This six-phase lesson encourages you, as the teacher, to only ask questions...
Intel
Pedal Power
Show your classes the importance of mathematics in something as simple as bicycle design. The final lesson in the six-part STEM series has each group research a different aspect of the bicycle. Learners use mathematical formulas, linear...
Curriculum Corner
7th Grade Math "I Can" Statement Posters
Translate the Common Core math standards into a series of achievable "I can" statements with this collection of classroom displays. Offering posters for each standard, this resource is a great way to support your seventh graders as they...
Curated OER
Real-World Reasonableness
Fifth graders apply math to real-world situations. In this mathematics lesson, 5th graders are read the book, "Math Curse," which discusses ways in which math is used each day. Students then write a sequel to the book in groups,...
Curated OER
Applying Proportionality in Scale Drawings
Sixth graders examine a blue print and discuss the reasoning behind using blue prints. In this proportionality lesson, students collaborate with their teammates to create a scale drawing. Once that is complete, 6th graders write a...
Curated OER
Geometry, Measurement & Reasoning
Young scholars measure prisms and determine their volume. For this measurement and reasoning lesson, students estimate the volume and area of prisms. They measure given boxes. Young scholars use paper to create prisms and cylinders. They...
Curated OER
Not Everything Is More Expensive
Students investigate the concept of using different types of presentations to help solve mathematical problems. They research the use of illustrations to help understand data and its interpretation in a graphing format. Students also...
Curated OER
Candy Machine
Using the concept of a candy vending machine, young mathematicians explore the sugar ratios found in different types of candy. Using the provided information, class members calculate and compare different ratios in order to find the...
Illustrative Mathematics
Adding Multiples
Mathematicians practice communicating why the sum of two multiples of a number results in another multiple of that number. Encourage learners to construct a viable argument by applying the distributive property or by drawing a diagram....
Illustrative Mathematics
Dan’s Division Strategy
Can Dan make a conjecture about dividing fractions with the same denominators? That is what your scholars are to determine. They must show that if the statement is true, they understand how the quantities were determined, and how the...
Illustrative Mathematics
Voting for Three, Variation 2
Here is another opportunity for math students to apply reasoning to solve real-world problems with ratios. The ratio of the number of votes for two candidates is provided. Your class is asked to use this ratio and information given about...
Illustrative Mathematics
Voting for Three, Variation 1
This is an opportunity for young mathematicians to apply reasoning to solve real-world problems with ratios. Even though there are three candidates for class president, students will only consider two at a time, making the first problem...
Illustrative Mathematics
Buying Bananas, Assessment Version
Practice with unit rates, proportions, and ratios when Carlos purchases an amount of bananas. Learners must interpret a graph to decide whether points on the same line represent similar proportional relationships. Use with lesson plans...
Illustrative Mathematics
Sore Throats, Variation 2
What does math have to do with a sore throat? When you mix water and salt you have a great review of how to represent proportional relationships by an equation or graph. Here the proportions of the mixtures may be different, but the...
Radford University
Parallel Lines, Transversals, and Angles: What’s the Connection?
Streets, bridges, and intersections, oh my! Parallel lines and transversals are a present in the world around us. Learners begin by discovering the relationship of the angles formed by parallel lines and a transversal. They then apply...
Illustrative Mathematics
Voting for Three, Variation 3
Get your learners to think outside the box. Students require a good understanding of ratios and their relationship to fractions to complete the problem. The only quantities given in the problem are the ratio of the number of votes for...
EngageNY
How Far Away Is the Moon?
Does the space shuttle have an odometer? Maybe, but all that is needed to determine the distance to the moon is a little geometry! The lesson asks scholars to sketch the relationship of the Earth and moon using shadows of an eclipse....
Utah Education Network (UEN)
Pattern Search
Pupils identify and define various mathematical properties, such as the commutative properties of addition and multiplication, and the associative property of addition. They also reason and communicate mathematically by making...
Mathematics Assessment Project
Applying Angle Theorems
Polygon ... an empty bird cage? After finding the angles of a polygon, young mathematicians use the provided methods to solve the problem in multiple ways.
EngageNY
Numbers in Exponential Form Raised to a Power
Develop an understanding of the properties of exponents through this series of activities. This third lesson of 15 explores the patterns associated with the power property. Scholars expand the powers before applying the property.