Worksheet
PBS

Working with Common Denominators: Activities and Supplemental Materials

For Students 4th - 6th Standards
Enjoy these straightforward and simple worksheet pages that practice with different denominators. The practice starts simple with adding fractions together and then works on a recipe that needs to be tripled. 
Assessment
1
1
Illustrative Mathematics

Solving Two Equations in Two Unknowns

For Students 8th - 10th Standards
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning. 
Lesson Plan
Consumers Energy

The Cost of Electricity

For Teachers 6th - 12th Standards
How much is your toaster costing you every day? Young environmentalists calculate the monetary costs of household appliances based on their average consumption of wattage.
Handout
Del Mar College

Divisibility Rules

For Students 3rd - 5th Standards
There's a lot to remember when it comes to math concepts. Help scholars get a head-start to learning division with a reference page offering divisibility rules for the numbers two, three, four, five, six, eight, nine, and 10. 
PPT
Curated OER

Vectors

For Students 9th - 12th Standards
Represent motion with arrows and call them vectors! The lesson is a presentation that models the mathematics involved when determining a resultant vector. It addrssses motions that are parallel, perpendicular, and a combination of...
Handout
Charleston School District

Negative Exponents Operations

For Students 8th Standards
Are exponent rules different if the exponents are negative? Using the definition of negative exponents and the rules of exponents, the resource shows that the rules of exponents hold independent of the sign of the exponent. Practice...
Handout
Charleston School District

Tables of Linear Functions

For Students 8th Standards
Don't forget the tables! The previous lessons in this five-part series examined the linear equation and graph relationship. The current lesson adds tables to the mix. At completion, individuals should be able to create a table of values,...
Handout
Charleston School District

Solving Equations with Variables on Both Sides

For Students 8th - 9th Standards
Where did all these variables come from, anyway? The previous lessons in the series ask learners to solve multi-step equations using the distributive property, combining like terms, and using inverse operations. Now scholars solve...
Handout
Charleston School District

Estimating Values of Expressions

For Students 8th Standards
You can't evaluate an irrational root expression without a calculator—or can you? Scholars estimate the value of roots within an expression to approximate the value of the expression. Expressions include a mix of square roots and whole...
Handout
Charleston School District

Pythagorean Theorem and Converse

For Students 8th Standards
You've heard that it is true, but can you prove it? Scholars learn the Pythagorean Theorem through proof. After an overview of proofs of the theorem, learners apply it to prove triangles are right and to problem solve. This is the second...
Lesson Plan
EngageNY

Perimeter and Area of Triangles in the Cartesian Plane

For Students 9th - 12th Standards
Pupils figure out how to be resourceful when tasked with finding the area of a triangle knowing nothing but its endpoints. Beginning by exploring and decomposing a triangle, learners find the perimeter and area of a triangle. They...
Lesson Plan
West Contra Costa Unified School District

Connecting Fractions and Rational Expressions

For Teachers 8th - 10th Standards
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout...
Lesson Plan
West Contra Costa Unified School District

Using Bar Models to Solve Rate Problems

For Teachers 8th - 10th Standards
Pupils visualize distance-rate-time problems by using bar models. The lesson presents examples of four different types of rate problems and shows how they can be solved using bar models and equations. Each example is followed...
Lesson Plan
Willow Tree

Number Properties

For Teachers 7th - 10th Standards
The number of basic algebraic properties can become overwhelming for learners. A lesson explains and gives examples for all the basic algebraic properties. The resource is perfect to use as a way for pupils to organize and...
Lesson Plan
Willow Tree

Order of Operations

For Students 7th - 10th Standards
It's the classic please excuse my dear aunt sally strategy to remembering the order of operations. Young mathematicians practice to develop an understanding of the order of operations. Examples and practice problems include...
Lesson Plan
1
1
Willow Tree

Arithmetic and Geometric Sequences

For Students 8th - 11th Standards
Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...
Lesson Plan
Willow Tree

Angle Sum Property of Triangles

For Students 8th - 11th Standards
All triangles have some things in common. Using these properties of triangles, learners find missing angle measures. Scholars use the Angle Sum Property and properties of special triangles throughout the lesson.
Lesson Plan
Willow Tree

Interior Angles, Exterior Angles, and Diagonals of Polygons

For Students 8th - 11th Standards
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...
Lesson Plan
EngageNY

Solving Rational Equations

For Students 10th - 12th Standards
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
Lesson Plan
EngageNY

Word Problems Leading to Rational Equations

For Students 10th - 12th Standards
Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question —...
Lesson Plan
West Contra Costa Unified School District

Solving Inequalities

For Teachers 7th - 9th
What does translating points on a number line have to do with solving inequalities? Young mathematicians first learn about translations of points on a number line, and then use this information to solve linear inequalities in one variable.
Lesson Plan
EngageNY

Proving Trigonometric Identities

For Teachers 10th - 12th Standards
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
Lesson Plan
EngageNY

Events and Venn Diagrams

For Students 10th - 12th Standards
Time for statistics and learning to overlap! Learners examine Venn Diagrams as a means to organize data. They then use the diagrams to calculate simple and compound probabilities.
Lesson Plan
West Contra Costa Unified School District

Divisibility Rules Justified

For Teachers 6th - 8th
How do you know if a number is divisible? Instructors first prove the divisibility rules for three and four and then class members use this modeling to prove given divisibility rules for eight and nine either individually or in...

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