Illustrative Mathematics
Eight Circles
We are used to finding the area of a circle by plugging the radius into an equation. Here, learners are required to go further to find multiple areas and calculate the difference. They must detect a pattern in order to figure out the...
Curated OER
Multiplying and Dividing Decimals
Division with decimals is explained using prior knowledge of powers of 10 and how to convert both sides of a division problem using this knowledge. The class works together through reading and setting up an equation for a word problem....
Family Education Network, Inc.
Division Practice Sheets: Grade 4
Expand on young mathematicians' prior knowledge of multiplication with this series of worksheets introducing the concept of division. Covering a wide range of topics from basic fact families and single-digit division to long division...
Curated OER
Using Integer Tiles
Demonstrate how to add and subtract positive and negative numbers using tiles. Pupils complete a variety of activities on a worksheet, including mixed addition and subtraction problems, subtracting and adding opposites, and magic squares...
Curated OER
Geometric Shapes: Area and Perimeter
There's a reason this activity is done in groups! Tricky word problems give geometry scholars a challenge as they use prior knowledge about shapes to find the area and perimeter given a few measurements. Students will enjoy discovering...
MARS - Mathematics Assessment Resource Service
Applying Properties of Exponents
The properties of exponents are all linked together and it is your mathematicians' job to discover and apply those rules. The comprehensive activity begins with a pre-assessment task to check for prior knowledge and then goes into a...
Project Maths
The Unit Circle
It's not just any circle—it's the unit circle. The fourth lesson in the series is an introduction to the famous unit circle. While working through a series of activities, young scholars learn the components of the unit circle and how to...
West Contra Costa Unified School District
Factoring Quadratic Expressions
Factor in different strategies in a lesson plan for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they...
West Contra Costa Unified School District
Investigating Similar Triangles
Let your use of the resource be in proportion to its usefulness. Pupils investigate similar triangles by measuring side lengths and considering given angle measures. The results of the investigation help develop generalizations about...
Curated OER
The Secret of the Crystal Ball
Eighth graders use mathematical expressions to solve problems. In this basic properties of operations, 8th graders use prior knowledge and logical reasoning to solve equations. Students analyze an equation by solving a trick problem to...
Illustrative Mathematics
Finding a 10% increase
A quick problem to test your mathematicians' knowledge on percent increase. Two different solutions are provided, mental math and computing. Ask your learners to include a description of what they did to supplement their answer.
Curated OER
Probability Experiment Simulation: Design and Data Analysis Using a Graphing Calculator
Seventh graders simulate probability experiments. Using a graphing calculator, 7th graders design, conduct, and draw conclusions from simulations or probability experiments. Students construct frequency tables and compare the...
Curated OER
Find the Value of Expressions Using the Order of Operations
Here is another great way to introduce order of operations using "Please Excuse My Dear Aunt Sally." Pre-determined small groups work cooperatively to solve expressions. Afterward, they write a journal entry to explain the steps they...
Curated OER
Data Analysis, Probability, and Discrete Math
Choose to supplement your probability unit with this resource and you won't be disappointed with the outcome. Teach young mathematicians to organize information using tree diagrams and lists in order to determine the possible outcomes of...
Illustrative Mathematics
Equivalent Expressions?
Pre-algebra pupils need to understand that two expressions are only equal if they have the same value. Show them that once the expression is multiplied by a number, the value of the expression changes. It makes for a good lead-in to...
Illustrative Mathematics
Robot Races
Analyze data on a graph to answer three questions after a robot race. Learners practice comparing ratios and reading points on a graph. Answers may vary on the last question based on accuracy of graphing. Use the lesson plan along with...
Curated OER
Indy 500
Start your engines! Small groups collect data from websites pertaining to the Indianapolis 500 in order to determine average speed per lap and miles in each lap. The lesson requires prior knowledge of the the formula d=rt.
Illustrative Mathematics
The Escalator, Assessment Variation
A great way to practice with unit rates, the activity gives your mathematicians an opportunity to compare different statements and select which are true. They can practice with "choose all that apply" by setting each statement into its...
Illustrative Mathematics
Riding at a Constant Speed, Assessment Variation
Practice ratios and unit rates with tracking how long Lin took to ride her bike. Provided with different questions, your mathematicians can assemble their answers using a chart or setting up ratios. The activity is included in a set of...
Illustrative Mathematics
Jayden’s Snacks
A quick activity to test the knowledge of your learners on adding and subtracting with decimals. They must calculate how much Jayden spent at the store and how much money he has remaining.
Illustrative Mathematics
Buying Bananas, Assessment Version
Practice with unit rates, proportions, and ratios when Carlos purchases an amount of bananas. Learners must interpret a graph to decide whether points on the same line represent similar proportional relationships. Use with lesson plans...
Statistics Education Web
It’s Elemental! Sampling from the Periodic Table
How random is random? Demonstrate the different random sampling methods using a hands-on activity. Pupils use various sampling techniques to choose a random sample of elements from the periodic table. They use the different samples to...
Illustrative Mathematics
Cooking with the Whole Cup
Whoops! Travis accidentally put too much butter into the recipe. Your bakers must find out how to alter the recipe to accommodate different changes by using unit rates and ratios . The activity has multiple parts and calculations with...
Illustrative Mathematics
Walk-a-thon 2
During a walk-a-thon your learners must determine the walking rate of Julianna's progress. Using tables, graphs, and an equation, they must be able to calculate the time it took her to walk one mile and predict her distance based on the...