Illustrative Mathematics
Writing Expressions
Practice writing algebraic expressions from written phrases. The objective is to consider two seemingly similar phrases, write them as algebraic expressions, and then simplify using the order of operations. Learners are challenged to...
Curated OER
Domains
Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...
Illustrative Mathematics
Watch out for Parentheses
It is important for the algebra learner to understand the use of parentheses. Mathematicians of all levels can make errors with nested parentheses. This will give them some practice. It makes for a good class starter or quick assessment.
Illustrative Mathematics
Miles to Kilometers
Can your mathematicians come up with an easy way to convert miles to kilometers? Start by asking learners to write an algebraic expression for each of the descriptions given. Once they determine that they are both the same, ask...
Curated OER
Taxes and Sales
Collaborative discussions around this retail store problem will be taxing. Calculating discount and tax and the order of the operations are used to motivate an opportunity for learners to make a convincing argument using algebraic...
Illustrative Mathematics
The Sign of Solutions
Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...
Math Learning Center
Grade 1 Supplement Set A5 – Number and Operations: Place Value
First graders work together to sort, categorize, and order collections of objects through activities that help build number sense.
5280 Math
Stories That Formulas Tell
Learn the stories a formula holds. An interesting lesson takes a unique approach to teach how to use formulas. Beginning with a formula, learners predict what the variables stand for and then use the formula to make calculations and tell...
Discovery Education
Physical Oceanography and Meteorology, Navy Search and Rescue Operation
It's an ocean rescue mission! Groups must find a pilot downed off the coast of the Chesapeake Bay. Rescuers must determine the distance needed to travel as well as the heading to get to the pilot's last known position. Taking...
Illustrative Mathematics
Video Game Scores
Eric and Leila's video game scores are the inspiration for writing equations with parenthesis. The numbers are purposefully large to deter the class from calculating them: rather this activity meets the standard that asks 5th graders to...
Curated OER
Choosing a College
How can mathematics help scholars choose a college? High schoolers learn how they can use decision matrices to rank colleges based on selected criteria. They also see how to weigh criteria using multiplication of the decision matrix by a...
Illustrative Mathematics
Watch Out for Parentheses 1
Parentheses are an important tool in the algebraic toolbox in regard to the structure of the algebraic equation. They are the beginning of the standard order of operations rule, the P in PEMDAS. The central question...
Illustrative Mathematics
Equivalent Expressions
Here is a straight-forward problem of multiplying two binomials with a twist. It is up to algebra learners to decide how to turn this product of sums into a sum of products. However, it is not the quadratic that is the answer; it is the...
Baylor College
Air: The Math Link
Inflate this unit on the science of air with these math skills practice and word problems. Accompanying the children's story Mr. Slaptail's Secret, this resource covers a wide range of math topics including the four basic...
5280 Math
Factory Functions
Solve a real-life problem using function-building skills. Presented with an open-ended question, scholars complete a checklist to create and justify a solution in an interesting algebra project. The checklist asks for justifications of...
Curated OER
Choral Counting II
Using a number line or a 100s chart that extends past 100, practice counting from 1 to 120 with your class. As a part of daily instruction, chant count in sequence from 1 to 100 and then randomly chose a number and count onward to 120....
Illustrative Mathematics
Dan’s Division Strategy
Can Dan make a conjecture about dividing fractions with the same denominators? That is what your scholars are to determine. They must show that if the statement is true, they understand how the quantities were determined, and how...
Illustrative Mathematics
Points on a Graph
Learners practice using their knowledge of how to interpret a function and use function notation. The activity includes two questions. Given an input of a function and its output, the first question asks learners to write the ordered...
Illustrative Mathematics
Equations and Formulas
Your class is asked to use inverse operations to solve eleven equations for unknown variables or to rearrange formulas to highlight a quantity of interest. By using the same reasoning as solving one- and two-step equations, algebra...
Illustrative Mathematics
Baking Cookies
You can never have enough cookies, but do you have enough ingredients? This activity allows your bakers to discover how many batches of cookies they can make with the ingredients provided. Also useable as an independent assignment, your...
Illustrative Mathematics
Reasoning about Multiplication and Division and Place Value, Part 2
The learner puts reasoning and estimation to work. The directions are to place a decimal in the answer to make the equation true. Pupils are to look at the two problems, one multiplication and one division, and estimate an answer. No...
Education Development Center
Writing Numerical Expressions—Hexagon Tables
Explore a basic pattern to practice writing expressions. In collaborative groups, learners examine a contextual pattern and write an expression to model it. The task encourages groups to describe the pattern in multiple ways.
Illustrative Mathematics
Ants Versus Humans
You would think that humans make up more mass than ants do on this planet, but think again, and this time by performing calculations. Middle schoolers use scientific notation to compute and compare the estimated total mass of all humans...
Computer Science Unplugged
Beat the Clock—Sorting Networks
Can multiple computers sort a list faster than one? Using a network drawn with chalk outside, groups move through the decision network to sort numbers. A series of extension questions come with the lesson and can be used in the same...