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Slope
Investigate the different types of slope using graphs and ordered pairs. Scholars use the slope formula to determine the slope of a line between two points. Includes examples with a slope of zero and with no slope. The lesson follows a...
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Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
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Fibonacci and Other Sequences
Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....
Mathematics Assessment Project
“Ponzi” Pyramid Schemes
Use mathematics to show your classes the power of a good model. Young mathematicians analyze the famous Ponzi pyramid scheme using an exponential pattern. They make conclusions on the reliability of the plan and why it is illegal.
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Factoring
Build an understanding of factors and use it to write the prime factorization of numbers. After exploring key vocabulary, learners create prime factorization for given numbers. They then use the prime factorizations to determine the...
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Direct and Inverse Variations
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
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Scientific Notation
Numbers that are very large or very small are difficult to express in standard notation. Pupils learn how to convert between standard and scientific notation. They also multiply and divide the numbers in scientific notation.
Mathed Up!
Conversion Graphs
After watching a video on conversions, learners convert meters to feet, dollars to pounds, pounds to Euros, gallons to liters, and kilometers to miles. Then, they graph the conversion changes onto graph templates.
Curated OER
Expressing Geometric Properties with Equations
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria.
Mathematics Assessment Project
Creating Equations
Using equations to model events. The resource contains four items that prompt individuals to write and solve basic equations. They must reason abstractly and quantitatively while attending to precision when solving the problems.
Mathematics Assessment Project
Seeing Structure in Expressions
Structure makes everything easier — even math. A helpful resource contains five short problems that require pupils to use the structure of the expressions in order to answer the questions.
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Arithmetic and Geometric Sequences
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...
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Order of Operations
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 absolute...
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Fractions
There’s a fine line between a numerator and a denominator. Learners review operations with fractions and ensure they have the skills needed to progress in the course. Taking the time now to review these concepts allows individuals to...
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Rational vs. Irrational Numbers
Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...
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Number Properties
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 study the...
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Formulas
Help learners understand the benefits of rearranging a formula. Scholars practice rearranging formulas for specific variables. They also analyze formulas to understand one variable's effect on the other.
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Equations of a Line
Each form of a linear equation has its purpose — pupils just have to find it. Building on the previous lesson in the series, learners examine point-slope and standard form. Using point-slope form, pupils write the equation of a...
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Patterns - Numbers, Shapes, etc.
Find the pattern is the name of the game! Learners examine different patterns represented by numbers, shapes, and words. They must describe the pattern, predict the result in a given position, and find an equation that represents a...
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Percents
We see percents everywhere! Building a solid understanding of their meaning is important to future mathematics, but also as citizens. Young scholars practice rewriting decimals, percents, and fractions. They also determine percents of a...
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Percent of Change
Your car decreases in value from $20,000 to $17,000. What percent of the value have you lost? Pupils answer word problems by determining the percent of change.
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Simplifying Square Roots
The square root of five and five do not have the same value! How many times have you addressed this with math classes? A instructional activity gives an explanation of a square root and gives examples for simplifying square root...
Mathematics Assessment Project
Arithmetic with Polynomials and Rational Expressions
It all starts with arithmetic. An educational resource provides four items to use in summative assessments. The items reflect the basic skill level required by the standards in the domain and are designed to have pupils reason abstractly...
Mathematics Assessment Project
The Real Number System
Get real! Four simple questions assess knowledge of topics in the real number system. Topics include ordering radicals, multiplying and simplifying radicals, and writing values in scientific notation.