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Illustrative Mathematics

Complex number patterns

For Teachers 10th - 12th Standards
Start off with the definition of the imaginary number i, then have your class practice simplifying expressions involving powers of i and look for patterns. See how the cyclic nature of powers of i translate to sums of powers of i.
Activity
Illustrative Mathematics

Which Function?

For Teachers 8th - 12th Standards
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
Lesson Plan
Curated OER

Rational Numbers as Exponents

For Teachers 9th - 10th
In this algebra worksheet, learners rewrite 3 radical expressions as exponential notation. They change 6 quantities with fraction exponents into equivalent radical expressions. Students write three exponential expressions, eliminating...
Lesson Plan
Curated OER

www.tutor-usa.com worksheet

For Teachers 6th - 8th
Reinforces the use of the distributive property for the pre-algebra or the beginning algebra pupil. Multiple choice and short answer questions test the use of the distributive property in expressions using solely numerical values or...
Lesson Plan
Curated OER

Discovering Math: Computation

For Teachers 5th - 7th Standards
Middle schoolers add, subtract, multiply, and divide rational numbers. They find the square and the cube of numbers. They create a game incorporating computation on rational numbers. Everyone works together to write and evaluate...
Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 8th - 9th
In this algebra worksheet, learners 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.
Activity
Illustrative Mathematics

Springboard Dive

For Teachers 8th - 12th Standards
Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...
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

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 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

Rational Equations

For Teachers 8th - 9th
For this algebra worksheet, students find the common denominator for 8 problems so they can solve for x. The rational equations include binomial expressions as denominators for 5 of the problems.
Lesson Plan
Curated OER

Math Mediator Lesson 10: Slope

For Teachers 8th - 9th
Students 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...
Lesson Plan
Curated OER

Solving Linear Equations

For Teachers 9th
Study linear equations with this algebra lesson. Middle schoolers solve linear equations using the appropriate properties and create their own equations for each other to solve.
Lesson Plan
Curated OER

Introductory Algebra Chapter 1 Review

For Teachers 6th - 8th
In this math worksheet, young scholars solve the problems that involve linear equations. They substitute the values given for each variable.
Interactive
Curated OER

Solving Equations

For Students 10th - 11th
In this algebra worksheet, students solve linear equations and quadratic equations by factoring, distribution and evaluating. There are 12 questions with an answer key.
Worksheet
Curated OER

Word Problems

For Students 9th
For this algebra activity, 9th graders rewrite word problems into algebraic sentences. They define sum, difference, quotient and factors. There are 5 word problems with an answer key.
Lesson Plan
Curated OER

Follow the (exponent) Laws!

For Teachers 7th - 9th
Students participate in technology-rich activities with the common goal of strengthening Students' understanding of simplifying expressions that involve exponents. They work in heterogeneous groups to discover the laws of exponents.
Lesson Plan
Curated OER

Math Journal: Functions and Coordinate Geometry

For Teachers 5th
Fifth graders examine the many uses of coordinate grids. For this graphing lesson, 5th graders write data driven equations, discuss the x and y-axis, and determine if using 2 or 3 ordered pairs is better.  Students complete several...
Lesson Plan
Curated OER

Fruity Math

For Teachers 9th - 10th
Students solve one step linear equations. For this algebra lesson, students manipulate their variables and numbers to answer each problem. They make sure the equations stay balanced at all times.
Lesson Plan
Curated OER

Married Math

For Teachers 7th - 8th
Students participate in a two-week real-life math unit. In pairs, they calculate salaries, taxes, and a budget, plan a vacation, buy insurance, make a will, and design a room. They conduct Internet research to plan the vacation, and...
Lesson Plan
Curated OER

You Gotta Have Heart

For Teachers 9th
Ninth graders investigate the concept of relations and interpret graphs and tables. They analyze given data and look for a pattern to determine if the numbers represent a function. Students practice solving scientific word problems that...
Lesson Plan
Curated OER

Model Data with Quadratic Functions

For Teachers 8th - 11th
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
Lesson Plan
Curated OER

Representing the Unknown

For Teachers 6th - 8th
Student use mental math to solve linear equations. In this algebra lesson, students solve one and two steps equations. They write expressions using variables to identify the unknown.
Lesson Plan
Curated OER

Iterating Linear Functions

For Teachers 7th - 9th
Young scholars use a spreadsheet to investigate data. In this algebra lesson, students collect and graph data on a coordinate plane. They explain properties of a linear equation both algebraically and orally.

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