Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
Mathematics Vision Project
Module 4: Rational Functions
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
Mathematics Assessment Project
Solving Quadratic Equations
Scholars first complete an individual assignment using a quadratic equation to model the movement of a bus around a corner. Learners then discuss their solutions with classmates and analyze the provided sample responses.
Mathematics Assessment Project
Maximizing Profits: Selling Boomerangs
You'll return to this resource again .. .and again ... and again. Class members determine the maximum profit of a boomerang-making business by solving a system of equations. They then review and analyze provided sample responses to the...
Mathematics Assessment Project
Best Buy Tickets
Everyone wants the best price when shopping — no matter what they are trying to buy. Given pricing information, pupils must solve a system of equations to determine the best option for printing tickets.
Mathematics Assessment Project
Skeleton Tower
Who doesn't like building blocks? In the task, pupils use a given diagram of a tower to determine the number of needed blocks. Using this information, pupils then develop a function rule relating the height of the tower to the number of...
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
Fearless Frames
Show class members how to connect algebra to geometry. A high school assessment task has pupils determine volumes of two different containers given limitations on material for box frames. Pupils then write a paragraph on advice people...
Achieve
Rabbit Food
Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...
Achieve
Stairway
It's the stairway to learning! Scholars research all aspects of building a staircase. Using information from building codes, they write and graph a system of inequalities to analyze the constraints. The completed project is a scale model...
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Equations Involving Factored Expressions
Be ready mathematicians of every level. This lesson leads to the discovery of the zero product property and provides challenges for early finishers along the way. At conclusion, pupils understand the process of using the zero product...
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End-of-Module Assessment Task - Algebra 1 (Module 1)
What do your young geniuses really know? Assess the procedural knowledge of your pupils at the same time as their higher-level thinking with an assessment that identifies their depth of knowledge. Topics include solving...
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Solution Sets to Inequalities with Two Variables
What better way to learn graphing inequalities than through discovering your own method! Class members use a discovery approach to finding solutions to inequalities by following steps that lead them through the process and even include...
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Solving and Graphing Inequalities Joined by “And” or “Or”
Guide your class through the intricacies of solving compound inequalities with a resource that compares solutions of an equation, less than inequality, and greater than inequality. Once pupils understand the differences, the...
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Solving Inequalities
Do properties of equations hold true for inequalities? Teach solving inequalities through the theme of properties. Your class discovers that the multiplication property of equality doesn't hold true for inequalities when multiplying by a...
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Applications of Systems of Equations and Inequalities
Is the application of systems of equations giving your class headaches? Use this resource to build on your pupils' logic to lead them to building equations and using algebraic methods. The lesson begins with an exploration of solving...
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Solution Sets to Simultaneous Equations (part 2)
Do you want your budding mathematicians to be able to explain 'why' and not just 'do'? This lesson plan encourages an understanding of the process of elimination. Pupils are expected to understand how and why the elimination method is a...
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Solution Sets to Simultaneous Equations (part 1)
How are systems related? Build on your pupils' previous knowledge of solving systems of equations by introducing systems of inequalities. Learners explore similarities between systems of equations and inequalities to make a strong...
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Solution Sets to Equations with Two Variables
Can an equation have an infinite number of solutions? Allow your class to discover the relationship between the input and output variables in a two-variable equation. Class members explore the concept through tables and graphs and...
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Rearranging Formulas
Model for your learners that if they can solve an equation, they can rearrange a formula with a well-planned lesson that has plenty of built-in practice. As the lesson progresses the content gets progressively more challenging.
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Equations Involving a Variable Expression in the Denominator
0/0 doesn't equal 0! Begin this lesson by allowing the class to explore the concept of dividing by zero. The introduction allows for discovery and provides meaningful examples of dividing by zero. This understanding leads to solving...
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Solution Sets of Two or More Equations (or Inequalities) Joined by “And” or “Or”
English and math have more in common than you think. Make a connection between a compound sentence and a compound inequality with an activity that teaches learners the difference between an "and" and "or" inequality through solutions...
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Some Potential Dangers When Solving Equations
Need a less abstract approach to introducing extraneous solutions? This is it! Young mathematicians explore properties used to solve equations and determine which operations maintain the same solutions. They eventually find that squaring...
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Solving Equations
Teach solving equations through an exploration of properties. Before pupils solve equations they manipulate them to produce equivalent equations. The activity switches the focus from finding a solution to applying properties correctly.