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Illustrative Mathematics
Calculating the square root of 2
Does a calculator give you the exact value of the square root of 2? Here, learners must decide if 1.414236 is equal to the square root of 2. They must also explain why the square root of 2 could never be equal to a terminating decimal....
Curated OER
Representing Data 1: Using Frequency Graphs
Here is a lesson that focuses on the use of frequency graphs to identify a range of measures and makes sense of data in a real-world context as well as constructing frequency graphs given information about the mean, median, and range of...
Curated OER
Representing Data 2: Using Box Plots
What information can be gleaned from a box and whiskers plot? Discuss the five summary values - minimum, maximum, upper and lower quartiles, and median - and what conclusions can be made from these values? Included here is a matching...
Illustrative Mathematics
Ordering Fractions
Here is a comparing and ordering fractions learning activity that extends young mathematicians understanding of fractions with like and non-like denominators. By representing and explaining each fraction in a picture or diagram, students...
Curated OER
Comparing Fractions with the Same Denominator, Assessment Variation
A short, multiple choice assessment that determines your 3rd graders' ability to correctly compare fractions with like denominators. This quiz asks learners to compare two fractions using words, the greater than/less than symbols, and...
Illustrative Mathematics
Operations on the Number Line
A different way to look at integers is on this number line with variables in place of numbers. Learners are to look at different expressions and describe why they think the answer would be positive or negative, depending on the location...
Curated OER
Changing Improper Fractions to Mixed Numbers
There are 33 fractions here, and all of them need to be changed...yet stay the same. Scholars convert improper fractions to mixed numbers and vice versa. Some of the mixed numbers require canceling, which the example demonstrates well....
Illustrative Mathematics
Molly's Run, Assessment Variation
Part of as assessment series, the activity follows the lesson Molly's Run to practice ratios and dividing with fractions. Different solution options are given for your learners' preference. The commentary explains how the...
Curated OER
Calculate the Mean
Give mathematicians some guided practice in calculating mean averages. They use examples as guides before completing four different sections to build on this skill. First, learners determine the mean of eight pairs of whole numbers....
Illustrative Mathematics
Building toward fluency
Here is a great learning task that focuses on the development of areas in computational fluency including strategies in mental math. Young learners are guided through a list of addition expressions that help them visually understand the...
Curated OER
Locating Fractions Greater than One on the Number Line
Supplement your lesson on improper fractions with this simple resource. Working on number lines labeled with whole numbers between 0 and 5, young mathematicians represent basic improper fractions with halves and thirds. The fractions...
Curated OER
Coordinates
For beginning point plotters, these graphs give a good introduction. They examine a graph with shapes drawn onto it and each vertex labeled. There are 20 total, and scholars write the coordinates of each labeled point. All of these are...
Illustrative Mathematics
The Stamp Collection
By using language like "half of the stamps," children are exposed to patterns in arithmetic that requires solving a two-step word problem. This type of language opens a new door for transitioning learners toward understanding fractions...
Bowland
Fruit Pies
Scholars use formulas for the area of a circle and the area of a rectangle to determine the number of pies a baker can make from a particular area of dough. They must also take into account rolling the remaining dough into a new sheet.
Willow Tree
Multiplying Polynomials
Make two parts into a whole. Scholars learn to multiply polynomials to create a simplified polynomial expression. Polynomials include monomial, binomials, and trinomials.
Illustrative Mathematics
Converse of the Pythagorean Theorem
Use the given tasks and detailed teacher's commentary to introduce your 8th graders to the Pythagorean theorem and its converse. Embedded links to information about Egyptian geometry make your presentation interesting. Consider...
Curated OER
Explaining the equation for a circle
By first starting with an explicit example of a radius and center point, this challenging lesson tries to help students gain an understanding of the Pythagorean theorem and the equation of a circle. Once they have accomplished the first...
Illustrative Mathematics
Numbers in a Multiplication Table
Identifying patterns is a crucial skill for all mathematicians, young and old. Explore the multiplication table with your class, using patterns and symmetry to teach about square numbers, prime numbers, and the commutative and identity...
Curated OER
whole and parts
In this math learning exercise, students cut out a piece of paper labeled whole and two pieces labeled Part. Two of the Part pieces add up to the same size as the Whole.
Curated OER
Open-Ended; Joining (Addition), Part-Part-Whole
Given a budget, a list of items to put in a treat bag, and how much each item costs might be a little difficult for your students at first. However, these are all going into a treat bag for Madeline's friends. What would your learners...
Curated OER
Math Vocabulary Decoding Activity
In this math vocabulary activity, learners use a letter key code to match match vocabulary words to their definitions. A reference web site it given for additional activities.
Curated OER
Math Vocabulary Maze
In this math maze worksheet, students navigate their way through a maze using clues and spelling out math vocabulary words. A reference web site is included for additional activities.
Curated OER
Fractions: Multiplying by Whole Numbers
In this fraction worksheet, students practice multiplying fractions by whole numbers in 30 problems. They can click a box to show the answers if they complete the worksheet online.
Curated OER
Math 121 - Mixture Problems
In this mixture problem worksheet, students read story problems, identify necessary information, and solve mixture problems using the mixture formula. This one-page worksheet contains ten problems. Answers are provided at the bottom of...