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West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
Virginia Department of Education
Angles in Polygons
Polygons — it's all about the angles. Groups work with dynamic geometry software to find the sum of the measures of the angles of various polygons. After finding the information for several polygons, the groups generate a formula that...
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 6
Determine the level of understanding within your classes using a summative assessment. As the final lesson in a 29-part module, the goal is to assess the topics addressed during the unit. Concepts range from linear angle relationships,...
Alabama Learning Exchange
Triangle Area: No Height? Use the Sine
No height? No problem! Learners use their knowledge and a little help from GeoGebra to develop the Law of Sines formula. The Law of Sines helps to determine the height of triangles to calculate the area.
Mathematics Vision Project
Module 7: Structure of Expressions
The structure of an expression is a descriptive feature. Learners build a solid understanding of quadratic functions using an analysis of expressions in different forms. The seventh module in a series of nine includes 12 lessons...
CCSS Math Activities
Smarter Balanced Sample Items: 6th Grade Math – Claim 3
Communication is key. Eight sample items show how important communication and reasoning is for sixth grade mathematics. Part of the Claim 2-4 slide show series, the presentation uses concepts from fifth and sixth grade to illicit...
College Board
Random Variables vs. Algebraic Variables
Variables can vary in meaning. A reference material for AP® Statistics explains the difference between random and algebraic variables. It provides a hypothetical situation involving dice—great for use in a classroom situation.
Curated OER
Properties and Attributes of Polygons
In this geometry worksheet, 10th graders determine if a polygon is convex or concave and apply the polygon Angle sum theorem and the polygon exterior angle sum theorem to determine the measures of interior and exterior angles of a...
Curated OER
Graphing Quadratic Equations
Review the form of a quadratic function, and the parabola it creates. Continue on with the whole group to work through a mini-lab, practicing how to graph quadratic equations with one variable. The goal of this lesson is for the group...
Curated OER
Three Methods for Using Quadratic Functions to Model Data
In this modeling data learning exercise, students use quadratic functions to model data using three different methods. This learning exercise provides explanations and an example. Additionally, students are given the steps to...
Curated OER
Solidly Platonic
When they do, they learn. Using this resource, young mathematicians learn about platonic solids by actually building, touching, and examining the shapes. They connect their observations about the shapes to Euler's formula.
Curated OER
Group Isomorphisms
Learners identify and apply properties of triangles. In this geometry lesson, students define equilateral triangles by sides and angles. They build cardboard triangles as they study properties of triangles.
Curated OER
Area of a Triangle: English Learner 16.4
In this ELL triangle worksheet, students review the definition of a triangle and then draw dotted lines to show the height of each figure. If one side is the height, students circle that side.
Curated OER
Fractions and Paper Folding
In this fraction lesson, students manipulate paper by folding it to create different shapes and sizes, they explore the concept of fractions, and discuss their observations as a class. This is a great lesson for getting students...
Curated OER
Finding Polygons in Cubist Art
Fourth graders explore geometric properties and relationships in a two-dimensional work of art. They first search for and identify polygons in a Cubist painting and then use polygons to create their own Cubist portrait of a classmate.
Curated OER
Line Symmetry and Rotational Symmetry
Fifth graders investigate the symmetry of pattern block shapes. Students, working in groups determine whether each shape has line symmetry, rotational symmetry or both kinds of symmetry. Students determine how many lines of symmetry the...
Curated OER
Twists and Turns
Students reflect, rotate, translate, and dilate figures in the Cartesian coordinate plane using grid paper and dot paper. They use transformations (i.e., reflections, translations, rotations, and dilations) to describe geometric patterns...
Curated OER
Isosceles Triangle Theorem
For this geometry worksheet, students differentiate between isosceles and regular triangles. They calculate the area and perimeter of the triangle. There are eleven questions with an answer key.
Curated OER
3-D Figures Part 1
Elementary schoolers explore 3-D shapes. They transition from thinking of shapes as only 2-D. Pupils read Cinderella as a launching activity for their upcoming adventure, and explore a new world of 3-D shapes in this introductory lesson.
Curated OER
What Color is It?
Students indentify whether an objects reflects or absorbs red, green, and/or blue light. They create a simple spectral signature.
Curated OER
Tangrams
Learners construct tangram pieces. Then they make observations and explore patterns with the pieces.
Curated OER
Identifying Angles
Learners identify names of angles. They use a large clock to demonstrate angles using certain times of day. Given a geoboard, students create figures with acute, right, and obtuse angles.
Curated OER
Transformations Using the Geometer's Sketchpad
Students discover rules for single transformations, rules for composition of transformations, when a figure has transformation symmetry, and if a transformation is congruent to its preimage.
Improving Measurement and Geometry in Elementary Schools
The Sum of the Interior Angles of a Polygon
Junior geometers discover that polygons can be decomposed into triangles and that the number of triangles can be determined by a rule. Note that the Geometer’s Sketchpad® software is required to carry out all components of this...
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