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Illustrative Mathematics

Graphs of Quadratic Functions

For Teachers 8th - 12th Standards
The equations look different, but their graphs are the same. How can that be? This activity leads your mathematicians in an exploration of three different forms of the same quadratic function. After comparing the equations, their graphs,...
Lesson Plan
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Illustrative Mathematics

Puzzle Times

For Teachers 6th - 7th Standards
Give your mathematicians this set of data and have them create a dot plot, then find mean and median. They are asked to question the values of the mean and median and decide why they are not equal. Have learners write their answers or...
Lesson Plan
Illustrative Mathematics

Drinking Juice, Variation 3

For Teachers 5th - 7th Standards
It is up to the learner to find the amount of juice originally in a bottle, knowing what fraction of the juice is left, and the amount that has been consumed. The accompanying commentary provides a useful and detailed description of...
Lesson Plan
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Curated OER

Mixing Candies

For Teachers 8th - 10th Standards
Mixture problems are a classic in first-year algebra. Unfortunately, many learners approach them in a formulaic fashion and don't truly understand the meaning of the algebraic expressions they are using. Here, the questions are not the...
Lesson Plan
Mathematics Assessment Project

Building and Solving Linear Equations

For Teachers 8th Standards
Young scholars write and solve linear equations in one variable based on descriptions of the operations that are applied to the unknown variable in an algebra machine. They then create their own problems for classmates to solve.
Lesson Plan
Mathematics Assessment Project

Sorting Equations of Circles 1

For Teachers 9th - 12th Standards
Round and round we go. Learners first complete a task on writing equations of circles. They then take part in a collaborative activity categorizing a set of equations for circles based on the radius and center.
Worksheet
DK Publishing

Simple Use of Parentheses

For Students 5th Standards
Fifth graders take a look at how to solve equations where parentheses are present. There are addition, subtraction, and multiplication problems included. Learners practice solving 22 problems altogether, and there is an answer key...
Unit Plan
NASA

Food For Thought

For Teachers 5th - 8th Standards
Science can be quite tasty. A delectable unit from NASA shows learners why it's important to consider food, nutrition, and health in space. Four lessons explore the idea in great depth, including testing cookie recipes. Along the way,...
Lesson Plan
Curated OER

Worksheet 11 - Intervals

For Teachers Higher Ed
In this interval worksheet, students write a geometric series for the derivatives of a function. Students determine the values of x and where it may converge. This two-page worksheet contains five multi-step problems.
Lesson Plan
Virginia Department of Education

Equations

For Teachers 7th Standards
Science equipment can be handy for math class, too. Scholars learn to solve one- and two-step linear equations by using the concept of a balance. They solve real-world problems in a variety of contexts by writing and solving linear...
Lesson Plan
Curated OER

Worksheet 4 - function

For Teachers Higher Ed
For this function worksheet, students identify functions, express decimals as fractions and write decimals as a geometric series. This one-page worksheet contains six multi-step problems.
Lesson Plan
Curated OER

Worksheet 38-Spring 1996

For Teachers Higher Ed
In this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.
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Shoreline Community College

Properties of Logarithmic Functions

For Students 9th - 12th Standards
Use a straightforward approach to understanding logarithmic properties and their role in solving exponential and logarithmic equations to your math class. The lesson begins with an overview of a logarithmic function and its...
Lesson Plan
Curated OER

Math: Something's Fishy

For Teachers 5th
Fifth graders imagine an aquarium filled with 1,000 fish on a math worksheet. They express each species as a fraction of the total number of fish in the tank. Students reduce each fraction to lowest terms and then express them as...
Lesson Plan
Curated OER

Can you Find the Expression

For Teachers 10th - 11th
Learners collect data from measurements and weights for this experiment. In this algebra lesson, students analyze graphs they create form their data to find the expression representing the data. They label which graph provided the best...
Worksheet
Curated OER

Expressions With Multiplication and Division

For Students 4th
In this expressions learning exercise, 4th graders evaluate 12 expressions for n = 7 and find the total number of hats when x = 12. Students write their answers on the lines provided.
Worksheet
Curated OER

Logarithmic Expressions

For Students 10th - 11th
In this logarithmic expression worksheet, learners use the properties of logs to write given expressions in expanded form. They solve logarithmic functions. This one-page worksheet contains ten problems.
Worksheet
Curated OER

Total English: Two-Part Expressions Crossword

For Students 7th - 10th
In this two-part expressions crossword puzzle worksheet, students practice key vocabulary as they read the 11 clues to correctly fill in the word puzzle. Students also write 4 sentences.
Worksheet
Curated OER

Translating Algebraic Phrases

For Students 5th - 7th
In this algebraic phrases worksheet, students write an algebraic expression for a set of 15 phrases. A website reference for additional resources and an answer key are provided.
Worksheet
Curated OER

Steps and Examples for Multiplying Ratiuonal Expressions

For Students 9th - 11th
In this multiplying rational expression worksheet, students are given two examples of how to multiply and then simplify rational expressions.  The examples are complete with steps and justifications.
Lesson Plan
Curated OER

Writing in Scientific Notation

For Teachers 6th - 9th
Learners discover number sense by completing a math worksheet. In this scientific notation lesson, students identify the purpose for writing in scientific notation and practice writing large numbers in scientific notation. Learners...
Lesson Plan
Curated OER

Translating Word Phrases into Algebraic Expressions

For Teachers 6th - 8th
Students view a PowerPoint and practice writing algebraic expressions from word phrases. In this algebra lesson, students utilize phrases such as, "plus, minus, sum, difference, increased by and subtracted from." There are 5 problems on...
Unit Plan
Curated OER

What's Math Got To Do With It?

For Teachers 5th
Students explore numbers, computation, ratios, proportions, probabilities, statistics, and money in this six lessons unit. Practical applications in the real world are emphasized through an interactive approach to math in these lessons.
Lesson Plan
Curated OER

Writing in the Math Classroom

For Teachers 9th - 12th
Young scholars determine the vertex, y-intercept and direction of a parabola and write an explanation of how to graph a parabola. They collect and graph data using a calculator.

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