Handout
University of California

Student Workbook: Algebra and Functions

For Students 6th - 10th Standards
A smorgasbord of functions, this packet has the basics required for your learners to be successful in the land of early algebra. The packet includes solving equations, graphing, evaluating, simplifying and basically everything else...
Lesson Plan
Illinois State Board of Education

Solar System

For Teachers 6th - 9th Standards
Aspiring astronomers solve problems involving mixed units of the same attribute, including time, money, length, and area. They convert large numbers into scientific notation, then compute and compare ratios to explain why drawing...
Worksheet
Helping with Math

Ratio and Proportion: Simplifying Ratios (1 of 2)

For Students 5th - 10th Standards
Here is a set of 24 pairs of numbers for which kids reduce the ratios to their simplest form. It is a simple and straightforward assignment, meant by the publisher to address CCSS.Math.Content.6.RP.3. Note, however, that it only requires...
Worksheet
Curated OER

Identifying Similar Triangles

For Students 10th
In this identifying similar triangles activity, 10th graders solve 6 different types of problem that include identifying and comparing similar triangles. First, they identify the three ways that determine whether two triangles are...
Assessment
Mathematics Assessment Project

A Golden Crown?

For Students 7th - 8th Standards
In this assessment task, learners determine whether a crown with given information is composed of pure gold. The task expects algebraic and numerical solution methods, so unlike Archimedes, no bathtub is necessary.
Worksheet
Curated OER

Direct and Inverse Variation

For Students 9th
In this direct and inverse variation worksheet, 9th graders solve 10 different problems that include various situations in variations. First, they find the constant of proportionality when given each variable measure. Then, students...
Worksheet
Helping with Math

Ratio and Proportion: Rates

For Students 5th - 8th Standards
Unit rates are introduced to your math minors on this printable worksheet, complete with answers. There are only three problems: the first involves biking speeds, the second the cost of bracelets, and the third the cost of apples....
Worksheet
Curated OER

Regression Analysis

For Students 9th
In this regression analysis worksheet, 9th graders solve 10 different word problems related to regression analysis. First, they use the information given to find a suitable function to model the data. Then, students use the model to...
Worksheet
Curated OER

Direct Variation

For Students 11th
In this direct variation worksheet, 11th graders solve 11 different problems that include applying direct variation to solve. First, they find the constant of the variation described. Then, students use the charts at the bottom of the...
Worksheet
Curated OER

Setting Up Equations

For Students 12th - Higher Ed
In this setting up equations activity, learners solve 4 different problems that include setting up the equations in each problem. They write out an equation or set up an equations that describe each given situation. Then, students state...
Worksheet
Curated OER

Right Triangles

For Students 10th
In this right triangles worksheet, 10th graders solve 10 different problems that include determining the means proportionally in each right triangle. First, they use the given information to determine the measure of each line segment....
Assessment
Inside Mathematics

Rhombuses

For Teachers 9th - 12th Standards
Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two...
Lesson Plan
EngageNY

The Defining Equation of a Line

For Teachers 8th Standards
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
Lesson Plan
Curated OER

Sail Problem

For Teachers 9th - 12th Standards
High schoolers explore the proportional relationships involved in multiple parallel lines being cut by a transverse line. They complete a sail design problem, that involves finding the lengths of pieces of fabric along the edge of a sail...
Lesson Plan
Curated OER

Algebra: Lesson 4

For Teachers 8th
Eighth graders participate in using algebraic proportional reasoning to find the missing amount that balances on a scale. Substitution is used to discover the missing objects on a scale. They answer multiple choice questions that are...
Worksheet
Curated OER

Similar Figures

For Students 6th - 7th
In this similar figures worksheet, students solve and complete 4 different problems. First, they write a proportion and substitute. Then, students find the cross products and simplify. Finally, they divide each side to find the value in...
Unit Plan
Mathematics Vision Project

Circles: A Geometric Perspective

For Teachers 10th - 12th Standards
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Lesson Plan
Illustrative Mathematics

Chess Club

For Teachers 6th - 8th Standards
When the membership in a chess club changes, it is your mathematicians' job to find out how many boys and girls are attending and the percent change from last year. The activity provides a great compound problem finding the different...
Unit Plan
Bowland

Highway Link Design

For Teachers 6th - 9th
Discover a renewed appreciation for the highway transportation department. with a lesson that has scholars design a highway route that meets certain conditions, including traffic flow, curves, speed limits, financial costs, and...
Lesson Plan
Illustrative Mathematics

Sale!

For Teachers 6th - 7th Standards
Everyone loves a sale, and this worksheet allows learners to calculate which sale is more rewarding. The activity can be adapted for different thinking contexts. The answer key describes different answer choices, some being higher...
Lesson Plan
American Statistical Association

Confidence in Salaries in Petroleum Engineering

For Teachers 9th - 12th Standards
Just how confident can we be with statistics calculated from a sample? Learners take this into account as they look at data from a sample of petroleum engineer salaries. They analyze the effect sample size has on a margin of error and...
Lesson Plan
American Statistical Association

Armspans

For Teachers 6th - 8th Standards
Young mathematicians collect data on the arm spans of classmates. Then they sort the data by measures of center, spread, and standard deviation. Finally, they compare groups, such as boys and girls, to interpret any differences. 
Lesson Plan
Mathematics TEKS Toolkit

Am I Related to Myself?

For Teachers 4th - 6th Standards
Elementary or middle schoolers use ratios to discover some nearly constant relationships between measurements of parts of the human body. They find and record pairs of measurements and determine the relationship between the pairs. Pupils...
Lesson Plan
Illustrative Mathematics

Gotham City Taxis

For Teachers 6th - 8th Standards
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...