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Illustrative Mathematics

Solving Two Equations in Two Unknowns

For Students 8th - 10th Standards
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning. 
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Lesson Plan
Illustrative Mathematics

Video Streaming

For Teachers 7th - 9th Standards
Your movie fans will be interested in this resource. They will compare video streaming plans. One plan charges a set rate per month and a reduced viewing fee, and the other has a flat rate per each video viewed. Unfortunately, students...
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Assessment
Inside Mathematics

Printing Tickets

For Teachers 9th - 12th Standards
Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...
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Assessment
Mathed Up!

More Difficult Rearranging Formulae

For Students 9th - 12th
How do you solve equations with more than one variable? Scholars view a video that explains solving literal equations as simply an extension of solving simple equations. Once they have a handle on the concept, they work on several...
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Assessment
Inside Mathematics

Party

For Teachers 8th Standards
Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...
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Lesson Plan
Curated OER

Birds' Eggs

For Teachers 7th - 9th Standards
More than just data, scatter plots are full of information that can be used to answer a variety of questions. This lesson uses a plot with information about bird egg sizes to answer questions about the relationship between length and...
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Balanced Assessment

Toilet Graph

For Students 9th - 12th Standards
Mathematics can model just about anything—so why not simulate the height of water in a toilet bowl? The lesson asks pupils to create a graphical model to describe the relationship of the height of the water as it empties and fills again....
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Assessment
Mathed Up!

Changing the Subject of a Formula

For Students 7th - 9th Standards
What to do with more than one variable? Part of a larger series, the video shows how to solve a formula for another variable. Pupils solve equations with more than one variable for a given variable of interest. Problems include linear,...
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Lesson Plan
Curated OER

Basketball Bounces, Assessment Variation 2

For Teachers 9th - 12th Standards
This un-scaffold summative assessment tasks learners to use the height of a bouncing basketball, given the data in graph and table form, to choose the model that is represented. Learners then use the model to answer questions about the...
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Lesson Plan
Curated OER

Basketball Bounces, Assessment Variation 1

For Teachers 9th - 12th Standards
This highly scaffolded, summative assessment tasks learners to choose the model that represents the height of a bouncing basketball given the data in graph and table form. Learners then use the model to answer questions about the...
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Assessment
Los Angeles County Office of Education

Assessment for the California Mathematics Standards Grade 7

For Students 6th - 8th Standards
In need of an all-inclusive seventh grade math resource? Packed full of the topics necessary for Pre-Algebra the packet includes practice problems with different difficulty levels. It works great for any supplemental use needed in the...
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Assessment
Inside Mathematics

Graphs (2006)

For Teachers 9th - 12th Standards
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a instructional activity that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
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Assessment
Inside Mathematics

Squares and Circles

For Teachers 8th Standards
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
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Assessment
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CCSS Math Activities

Smarter Balanced Sample Items: 8th Grade Math – Claim 2

For Teachers 8th Standards
Math can be a problem in eighth grade. Sample items show how problem solving exists within the eighth grade standards. Part of the Gr. 8 Claim 2 - 4 Item Slide Shows series, the presentation contains eight items to illustrate the...
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Assessment
Inside Mathematics

Sorting Functions

For Teachers 9th - 12th Standards
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
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Assessment
Bowland

Problem Page

For Teachers 6th - 9th
Future mathematicians use a given graph to answer a question about age differences in relationships. Along the way, they must find the equation and inequality of given graphs.
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Assessment
Inside Mathematics

Conference Tables

For Teachers 9th - 12th Standards
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and use them to...
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Assessment
CCSS Math Activities

Picking Apples

For Students 7th - 8th Standards
Pick the resource while it's ripe. A performance task challenges young mathematicians to consider the costs of apple picking. They compare the costs for two different orchards for different situations.
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Lesson Plan
EngageNY

Modeling a Context from a Verbal Description (part 1)

For Teachers 9th - 10th Standards
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic expressions. 
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Assessment
Inside Mathematics

Population

For Teachers 9th - 12th Standards
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
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Assessment
Concord Consortium

Betweenness I

For Students 8th - 11th Standards
Just between us, this is a pretty cool lesson! Given two functions with the same slope, learners write three new functions whose outputs are all between the given functions. The question is open-ended, allowing pupils to explore the...
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Assessment
Del Mar College

Algebra Assessment Review

For Students 10th - Higher Ed Standards
Jam packed with problems, this advanced Algebra worksheet focuses on topics such as domain, solving quadratics, solving rationals, and function notation.  
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Assessment
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Mathematics Assessment Project

College and Career Readiness Mathematics Test C1

For Students 9th - 12th
Challenge high schoolers with a thorough math resource. The 20-page test incorporates questions from upper-level high school math in applied and higher order questions.
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Assessment
Concord Consortium

Intersections II

For Students 8th - 12th Standards
How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...

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