EngageNY
Geometric Sequences and Exponential Growth and Decay
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
Curated OER
Finding the Area of Shapes
In this area of shapes unit, upper graders participate in hands-on problem solving activities to find the formulas for the area of a parallelogram, a triangle, and a trapezoid. They manipulate the geoboard to explore relationships among...
EngageNY
Using Trigonometry to Determine Area
What do you do when you don't think you have enough information? You look for another way to do the problem! Pupils combine what they know about finding the area of a triangle and trigonometry to determine triangle area when they don't...
EngageNY
Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
Curated OER
Dan's Badge
Students solve a math problem using area formulas of circles and squares. They read and discuss the problem, analyze images of badges, reconstruct the badge from the problem using circles and rulers, and share the solution with the class.
Curated OER
Area and Volume Metric Conversions - Grade Seven
Students investigate unit conversion. In this unit conversion instructional activity, students will build models of square and cubic centimeters using grid paper and generate formula tables for converting units of area and volume. The...
EngageNY
Analytic Proofs of Theorems Previously Proved by Synthetic Means
Prove theorems through an analysis. Learners find the midpoint of each side of a triangle, draw the medians, and find the centroid. They then examine the location of the centroid on each median discovering there is a 1:2 relationship....
Curated OER
Indy 500
Start your engines! Small groups collect data from websites pertaining to the Indianapolis 500 in order to determine average speed per lap and miles in each lap. The lesson requires prior knowledge of the the formula d=rt.
Geometry Accelerated
Coordinate Geometry Additional Practice
Your learners get extra practice using coordinates in calculating mid points, finding end points, deciding if points are collinear, calculations using slope concepts, writing linear equations, using triangles and quadrilaterals, and...
EngageNY
Volume and Cavalieri’s Principle
Take a slice out of life. The ninth section in a series of 23 introduces classmates to Cavalieri's principle using cross sections of a cone and stacks of coins. Class members participate in a discussion using pyramids and how Cavalieri's...
EngageNY
Expected Value of a Discrete Random Variable
Discover how to calculate the expected value of a random variable. In the seventh installment of a 21-part module, young mathematicians develop the formula for expected value. They connect this concept the dot product of vectors.
EngageNY
Truncated Cones
Learners examine objects and find their volumes using geometric formulas in the 21st installment of this 25-part module. Objects take the shape of truncated cones and pyramids, and individuals apply concepts of similar triangles to find...
Geometry Accelerated
Accelerated Geometry Review Sheet
Your geometry learners use their knowledge of various geometric concepts to write proofs. Starting with givens containing parallel line segments with transversals and triangles and quadrilaterals, and the mid-point and distance formulas;...
Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required. From calculating the volume of a composite shape through the abstract...
Curated OER
The Quadratic Formula
Students solve quadratic function by completing the square. In this algebra lesson plan, students use the quadratic formula to factor quadratics and find the roots. They graph the parabola and identify its properties.
Curated OER
Formulae
In this secondary mathematics worksheet, learners participate in five activities such as code breaking, color coding, and one and even games. The nine page worksheet contains eight activities. Solutions are included.
Curated OER
Studying for a Test
Students calculate the probability of compound events. They solve the problem using a tree, list of formulas and explain what was done and why it was done. Students develop the following skills in order to determine, describe and apply...
Curated OER
Quadrilateral Explorations-Grade Nine
Ninth graders investigate quadrilaterals. In this geometry lesson, 9th graders examine and classify quadrilaterals using the slope, midpoint and distance formulas. Additionally, students create various quadrilaterals given three point...
Curated OER
Volume of Rectangular Prisms: Algebra/Geometry Institute Summer 2009
Students find the volume of rectangular prisms. In this volume lesson, students use a formula to find the volume of rectangular prisms. They discuss the definition of volume and draw rectangular prisms. Students identify the parts of...
Curated OER
Equations and Inequalities
In this equations and inequalities worksheet, 9th graders solve and complete 14 different multiple choice problems. First, they name an example of the commutative property of addition. Then, students use the distance formula to determine...
Curated OER
Design Your Own Bedroom
Students use metric measurement to perform operations on decimals and percentages. They represent their mathematical problem by using a spreadsheet.
Inside Mathematics
Expressions
Strive to think outside of the quadrilateral parallelogram. Worksheet includes two problems applying prior knowledge of area and perimeter to parallelograms and trapezoids. The focus is on finding and utilizing the proper formula and...
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
Arizona Department of Education
Area and Perimeter of Regular and Irregular Polygons
Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other irregular...