Illustrative Mathematics
Egyptian Fractions II
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...
Curated OER
Working With Equations
High schoolers create a mathematical formula to help plan ration supplies for a polar expedition. Using basic algebra skills, students identify the variables in planning for rations. They create an equation to help plan the expedition....
Curated OER
Fractions Continued
Young scholars investigate the concept of using fractions to solve problems involving rational numbers. They order real numbers on the number line with the classification of fractions. Also students solve problems using the four...
Curated OER
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Curated OER
Square Roots, Number Classification, Ordering & Graphing
Ninth graders identify numbers as rational or irrational. Using calculators estimation, and factoring methods, 9th graders compute the square root of numbers. They graph numbers in sequential order and round numbers integers to the...
Teach Engineering
Discovering Phi: The Golden Ratio
Fe, phi, fo, fum. This activity leads pairs to find the ratio of consecutive terms of the Fibonacci sequence. The pairs find that the Fibonacci sequence can be found in many places. A discussion with the class shows that the ratios found...
Curated OER
Mathematics: Prime and Composite Numbers
Sixth graders explore how to apply the commutative property and the rules of divisibility. They examine the difference between prime and composite numbers.
Curated OER
Properties of Real Numbers
In this algebra instructional activity, 11th graders perform operations with real numbers. They simplify roots and rationalize the denominators by factoring. They calculate the absolute values of the roots. There are 11 questions.
Curated OER
Do You Have Number Sense?
Seventh graders are grouped according to their ability level with a captain who is elected by the students in that particular group. Students demonstrate their knowledge of rational and irrational numbers by defining them. Students use a...
Curated OER
CONCEPTS IN NUMBER THEORY.
Students study the Maya culture and their achievements in mathematics, how bacteria grow exponentially, use rational numbers to convert back and forth between Celsius and degrees Fahrenheit, how some architectural designs are examples of...
Curated OER
Understanding Pi.
Students study the relationship between circumference and diameter to come up with Pi. "In this pi lesson, students measure, record and find the ratio "circumference/diameter" and their average which is an approximation of pi.
PBL Pathways
Doctors and Nurses
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year period....
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Claim 3
Does the explanation make sense? Sample items highlight claim three, communicating reason, in the Smarter Balanced assessments. Teachers use the 16 items to help show pupils the importance of communication and reasoning within...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 2)
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
Achieve
Yogurt Packaging
Food companies understand how to use math to their advantage. Learners explore the math related to the packaging and serving size of yogurt. They then use unit analysis and percent values to make decisions on the product development.
EngageNY
Absolute Value—Magnitude and Distance
Do you want to use the resource? Absolutely. Scholars learn about absolute value and its relation to magnitude and distance on a number line. They compare numbers in context by applying absolute value.
CCSS Math Activities
Smarter Balanced Sample Items: 6th Grade Math – Target D
Elevation often confuses people due to a misunderstanding of negative numbers. Scholars practice applied elevation problems in addition to absolute value and coordinate pair questions. Each slide presents one question to help pupils...
Illustrative Mathematics
Placing a Square Root on the Number Line
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
Concord Consortium
Sloppy Student II
Doesn't trying two substitutions prove it is equal? Individuals analyze a given polynomial division problem to determine whether the answer is correct. Classmates continue to determine what values to use that show the answer and the...
Willow Tree
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...
PBS
Garden Grade 6 Area and Perimeter
Engage young mathematicians in applying their knowledge of area and perimeter with a fun geometry lesson. Through a series of problem solving exercises, children use their math knowledge to design different-sized garden plots that meet...
Curated OER
Number Theory and The Real Numbers
In this algebra activity, 9th graders define rational and irrational numbers and answer questions about properties of real numbers. There are 38 questions on this test.
Curated OER
Adding and Subtracting Rational Expressions
In this algebra worksheet, students add and subtract rational expressions using the LCM. They combine like denominators before they add and subtract the expressions. There are 8 questions.
Curated OER
Arithmetic Operations With Numbers
In this arithmetic operations instructional activity, 9th graders identify and solve 48 different problems that include applying Arithmetic operations with various types of numbers. First, they simplify each of the expressions using...