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Illustrative Mathematics

Equations of Lines

For Teachers 7th - 9th Standards
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases.  It...
Lesson Plan
Curated OER

Solving Basic Equations 2

For Teachers 8th - 9th
In this basic equation worksheet, young scholars solve equations containing one variable. Students show their algebra steps as they solve division, multiplication, addition and subtraction problems containing positive and negative...
Lesson Plan
Curated OER

Intersections, Unions, and Compound Inequalities

For Teachers 8th - 9th
In this algebra worksheet, learners graph inequalities on number lines. Two problems are written in interval notation. The other five problems require students to graph and then write in interval notation.
Lesson Plan
Curated OER

Applications of Polynomial Equations

For Teachers 8th - 9th
In this algebra worksheet, students solve polynomial equations for the given variable. Seven problems require students to solve a given equation. The last three problems are word problems, each gives the required equation. Students...
Lesson Plan
Curated OER

The Complex Numbers

For Teachers 9th - 10th
In this algebra worksheet, students solve 16 problems involving imaginary numbers. In the first three, students find the square root of 3 negative numbers in terms of i. Nine problems involve addition, subtraction, multiplication and...
Lesson Plan
Curated OER

Worksheet 7 - Asymptote

For Teachers Higher Ed
In this asymptote worksheet, students compute limits, graph vertical asymptotes, and find the slope of the secant line. This one-page worksheet contains six multi-step worksheets.
Lesson Plan
Curated OER

Factoring: All Types

For Teachers 9th - 11th
For this factor worksheet, algebra learners factor expressions containing two to four terms. This one-page worksheet contains 15 problems, with answers.
Lesson Plan
Curated OER

Arts Impact and Math

For Teachers 3rd
Third graders incorporate math into dancing. In this algebra instructional activity, 3rd graders identify different shapes and patterns using dance movements. They relate the different creations to polygons as they incorporate the use of...
Lesson Plan
Curated OER

Math Mediator Lesson 10: Slope

For Teachers 8th - 9th
Pupils explore the concept of slope.  In this Algebra I lesson, students investigate the definition of slope as rise over run or change in y compared to change in x.  The lesson includes a real-world problem in which the height...
Lesson Plan
Curated OER

Law of Sines

For Teachers 10th - 12th
In this Law of Sines worksheet, students describe, in their own words, when to use the law of sines. They give an example of a problem using the law of sines. This two-page worksheet contains one problem and a sample answer.
Lesson Plan
Curated OER

Positive and Negative Numbers

For Teachers 6th - 9th
Pupils use blocks and markers to illustrate the processes of adding, subtracting, multiplying and dividing integers. In this mathematics lesson, learners use Algebra blocks to demonstrate multiplying polynomials.
Lesson Plan
Curated OER

Quadratic Equations and Functions

For Teachers 8th - 11th
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree.  Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few...
Lesson Plan
Curated OER

Weather In The World

For Teachers 6th - 7th
Students investigate the weather in different places in the world. In this algebra lesson, students use technology to gain an understanding of how to study integers. They add and subtract integers on a number line.
Lesson Plan
Curated OER

Sit Down, Stand Up

For Teachers 6th - 8th
Have your class practice solving algebraic equations, finding the square root of a number, and more. This activity allows learners to practice key skills in a motivating way.
Lesson Plan
Virginia Department of Education

The Submarine

For Teachers 7th - 10th Standards
Submerge yourself in the study of slope. Scholars investigate a situation involving slope and the rate of change of a submarine. An additional example further explores the concept of slope by changing one of the conditions of the submarine.
Lesson Plan
Illustrative Mathematics

Two Lines

For Teachers 7th - 9th Standards
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
Lesson Plan
Illustrative Mathematics

Delivering the Mail

For Teachers 7th - 9th Standards
A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...
Lesson Plan
Curated OER

Scattered About

For Teachers 6th - 8th
Students are introduced to the concept of scatter plots after reviewing the various types of graphs. In groups, they analyze the type of information one can receive from a scatter plot and identify the relationship between the x and y...
Lesson Plan
Curated OER

Common Factors and Factoring by Grouping

For Teachers 8th - 9th
In this algebra worksheet, students factor out common factors of polynomials. Once the common factors are out, students factor trinomial expressions into the product of two binomials when possible.
Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 8th - 9th
In this algebra worksheet, students factor twelve trinomial expressions into a binomial multiplication expression. In four of the problems, they must first factor out the common elements from the three terms.
Lesson Plan
Curated OER

Factoring Perfect-Square Trinomials and Differences of Squares

For Teachers 8th - 9th
In this algebra worksheet, students factor expressions into the product of two binomials. Four of the problems involve factoring perfect square trinomials. The remaining eight problems require students to factor problems that are the...
Lesson Plan
Curated OER

Formulas, Applications, and Variation

For Teachers 9th - 10th
In this algebra worksheet, learners solve 7 given formulas for a specified variable. Each formula is written as an equation, and students isolate one of the variables as the solution to the problem.
Lesson Plan
Curated OER

Multiplying Radical Expressions

For Teachers 9th - 10th
In this algebra worksheet, students multiply 4 radical expressions. They simplify 6 expressions by factoring out perfect squares. Students combine multiplication and simplification on three problems.
Lesson Plan
Curated OER

Expressions Containing Several Radical Terms

For Teachers 8th - 9th
In this algebra worksheet, students add 5 expressions with radical signs. In 6 problems, students multiply with radicals over parenthesis. The final 4 problems require students to rationalize the denominator and divide.

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