EngageNY
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance...
EngageNY
Another Computational Model of Solving a Linear System
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
Santa Barbara City College
How to Make a Multiplication Table
Teach children how to make a multiplication table, and they'll be multiplying for life. Following this series of steps, young mathematicians learn to use patterns and the relationships between numbers to create...
Illustrative Mathematics
All vs. Only Some
All shapes have certain defining attributes that set them apart from others. In order to understand this, young mathematicians look at examples and non-examples of triangles, rectangles, and squares, working as a whole class to create...
EngageNY
Making Scale Drawings Using the Ratio Method
Is that drawn to scale? Capture the artistry of geometry using the ratio method to create dilations. Mathematicians use a center and ratio to create a scaled drawing. They then use a ruler and protractor to verify measurements.
EngageNY
Scaling Principle for Volumes
Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...
EngageNY
Proving Trigonometric Identities
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
EngageNY
Solving Inequalities
Investigate complex problem situations by applying inequalities. Building from concepts explored in the previous lesson plan, learners read word problems and develop inequalities to represent the situation. They then solve the...
EngageNY
Inequalities
The 13th activity in the 28-part module asks scholars to write linear inequalities from a problem situation. Individuals then solve and interpret their results in the context of the problem.
EngageNY
Graphing Solutions to Inequalities
Activate the strengths of your visual learners using an informative lesson. In the 15th installment of the series of 28, pupils graph their solutions on number lines to create a visual representation of solutions. Problems presented as...
EngageNY
Generating Equivalent Expressions
Pupils develop expressions to describe the total number of sides on an unknown number of rectangles and triangles. Expressions contain multiplication, addition, and parentheses.
EngageNY
Writing Products as Sums and Sums as Products II
Explain algebraic relationships through an understanding of area and perimeter. Continuing concepts built in the third instructional activity of the series, the fourth installment of 28 asks learners to identify common expressions...
EngageNY
Conditions on Measurements That Determine a Triangle
Can any three side lengths create a triangle? Your classes tackle this question and more in the 11th lesson of the 29-part module. Through modeling with patty paper, individuals discover the relationship between the lengths of the sides...
Illustrative Mathematics
Lines of Symmetry for Circles
Further your instruction on geometrical symmetry with an investigation of circles. Fourth graders come to realize that the lines of symmetry of a circle are infinite.
Curated OER
Solving Multi-step Equations
Seventh graders solve 10 different problems that take multiple steps to solve. First, they combine like terms if necessary. Pupils isolate the terms that contain the variable they want to solve. In addition, they substitute their answer...
West Contra Costa Unified School District
Fractional Exponents
Wow! Here is a handout packed full of tips and worked-out solutions to supplement instruction on fractional exponents. The lesson introduces and thoroughly explains the Algebra II concept, and closes with a...
Los Angeles County Office of Education
California State Standards: Algebra I
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a...
Virginia Department of Education
Exploring 3-D Geometry
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on...
Mt. San Antonio Collage
Postulates, Angles, and Their Relationships
More than a worksheet, learners go through geometry topics example by example on the nicely organized handout. From postulates to classifying angles, there are rules and examples provided for each topic. The ten pages of problems...
Curated OER
Net "Working"
Upper elementary and middle schoolers explore the properties of various polygons. They use video, resource links, and engage in hands-on activities in order to construct geometric nets. This fine plan should lead to increased...
Curated OER
You Can't Go Wrong with a Right Triangle 2
Upper graders use the properties of right angle trignonmetry to measure objects such as the school flagpole. They solve real world problems using these properties.
Curated OER
The Right Stuff
Studentsare introduced to the Pythagorean Theorem by exploring right triangles and the squares built on each side. They apply the Pythagorean Theorem to real-world problems. Students u se informal and nonformal arguments of proof (i.e.,...
Pennsylvania Department of Education
The Multiplicative Identity and Numbers Close to One
Pupils practice multiplying and dividing whole numbers by fractions. They study the multiplicative identity property that states that the product of any number and 1 is that number. They multiply whole numbers by fractions close to 1 and...
Illinois State Board of Education
Geoboard Areas
Middle school geometers determine the area of a shape on a geoboard or dot paper and draw figures that meet given area conditions. Working as a class, they develop and discuss various ways to draw geometric shapes with specified...