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Curated OER
A Sum of Functions
Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...
EngageNY
Angle Sum of a Triangle
Prove the Angle Sum Theorem of a triangle using parallel line and transversal angle relationships. Pupils create a triangle from parallel lines and transversals. They find angle measures to show that the angles of a triangle must total...
Curated OER
Tile Patterns II: Hexagons
After learning that the sum of interior angles for triangles is 108 degrees, take it further to show that the sum of angles in any polygon is the same! Using hexagons, pupils practice finding the measure of the six congruent angles. Make...
EngageNY
Applying the Properties of Operations to Add and Subtract Rational Numbers 1
Apply properties of operations to work with mixed numbers. The first of two lesson plans that focus on properties of operations works with mixed numbers and converting opposites of sums. Pupils work with properties of operations to break...
West Contra Costa Unified School District
Properties of Multiplication
Unlock the keys to fluent multiplication with this upper-elementary math lesson. After an introduction to the five properties of multiplication, students match cards with different math problems to posters describing each...
Bob Prior
The Order of Operations
Your learners use many different number representations like positive and negative integers, exponents, radicals, and combinations of operations as they learn and strengthen their use of the order of operations. Thoughtfully organized to...
Illustrative Mathematics
$20 Dot Map
Challenge the addition skills of young learners with this open-ended math problem. The task is simple, get from start to finish by connecting a series of three numbers. The trick is that the sum of the numbers must be less than...
EngageNY
An Application of Linear Equations
Just how far will the Facebook post go? Lead a discussion on how to manipulate the sum of a geometric series to figure out a formula to find the sum at any step. The plan contains an alternative to the discussion with more...
EngageNY
Applications of Systems of Equations and Inequalities
Is the application of systems of equations giving your class headaches? Use this resource to build on your pupils' logic to lead them to building equations and using algebraic methods. The lesson plan begins with an exploration of...
EngageNY
Sums and Differences of Decimals
Sometimes dealing with decimals is so much easier than dealing with fractions. The ninth lesson in a 21-part module has the class consider situations when it might be easier to add or subtract fractions by first converting to...
Curated OER
Investigating Newton's Second Law Of Motion
Students participate in a lesson that investigates Newton's Second Law of Motion. They conduct an experiment of observing balls that are rolled down a ramp. The lesson includes background information for the teacher for preparation and...
Curated OER
Finding the Sum of the Exterior and Interior Angles of a Polygon
Students find the sum of the angles of a polygon and construct a polygon given the number of sides. In this polygon lesson plan, students draw large polygons on the floor of the room. They measure the length of each side and the interior...
EngageNY
The Order of Operations
Future mathematicians learn how to evaluate numerical expressions by applying the order of operations. They evaluate similar-looking expressions to see how the location of parentheses and exponents affects the value.
Curated OER
Signed Numbers and Order of Operations I
In this signed numbers worksheet, students simplify equations by using the indicated operation. They add, subtract, multiply, and divide equations containing two to four positive and negative integers. Three of the 25 equations contain...
Curated OER
Signed Numbers and Order of Operations Ii
In this signed numbers worksheet, 8th graders simplify integer problems through addition, multiplication, division, or subtraction. The majority of the 26 problems contain a minimum of 3 integers, and some more. Four problems contain...
Curated OER
Signed Numbers and Order of Operations II
In this signed number worksheet, students find the sum and difference of positive and negative integers. They use the order of operations to solve equations containing exponents and parenthesis. Students complete 26 problems.
Curated OER
Finding The Sum of an Infinite Series
Students examine finding the sum of an infinite series as the limit of partial sums. Through hands-on activities, students create their own sequence by finding the area of a square and then cutting it in half-sized pieces. They write...
EngageNY
Volumes of Familiar Solids – Cones and Cylinders
Investigate the volume of cones and cylinders. Scholars develop formulas for the volume of cones and cylinders in the 10th lesson of the module. They then use their formulas to calculate volume.
Willow Tree
Interior Angles, Exterior Angles, and Diagonals of Polygons
How does the number of sides of a polygon affect the angle measures? Learners recognize a pattern in finding the total measure of interior and exterior angles and the number of diagonals. They use the patterns to calculate...
EngageNY
Estimating Probabilities by Collecting Data
Take a spin to determine experimental probability. Small groups spin a spinner and keep track of the sums of the spins and calculate the resulting probabilities. Pupils use simulated frequencies to practice finding other probabilities to...
Virginia Department of Education
How Many Triangles?
Something for young mathematicians to remember: the sum of any two sides must be greater than the third. Class members investigates the Triangle Inequality Theorem to find the relationship between the sides of a triangle. At the...
EngageNY
Informal Proof of AA Criterion for Similarity
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...
EngageNY
Decimal Expansions of Fractions, Part 1
Is it possible to add infinitely long decimals? As pupils complete the examples in the ninth instructional activity of this 25-part series, they determine that adding these decimals cannot be done without error. Their task is then to...
Curated OER
Twenty-Five Measures of the Angles of a Triangle Problems
In this triangle worksheet, young scholars calculate the measures of the angles or the sums of the measures of the angles in twenty-five triangle problems and hands-on activities. The solutions are provided.