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
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 along with three...
Illustrative Mathematics
Friends Meeting on Bikes
It is the job of your mathematicians to figure out how fast Anya is riding her bike when meeting her friend. The problem shares the distance, time spent riding, and Taylor's speed leaving the last variable for your learners to solve. Use...
Illustrative Mathematics
Voting for Two, Variation 1
The votes are in and your mathematicians are going to calculate how many votes each candidate received. Three different solution choices are given, depending on which method is taught. Have your learners set up a table, compute parts, or...
Illustrative Mathematics
Computing Volume Progression 3
Learners are given a volume of a rectangular tank and are asked to find the water height. Because the total volume of the tank is given in liters, your geometers will need to use a unit ratio to convert to centimeters cubed. The exercise...
Illustrative Mathematics
Same Base and Height, Variation 1
Four triangles are depicted for learners to construct on a geoboard. They compute and compare the areas, and so meet one of the sixth grade Common Core standards for geometry. Note that the set of triangles does not include a right...
Illustrative Mathematics
Fishing Adventures 1
Often inequalities exist in many real-world contexts but young math learners struggle with understanding how to represent that relationship in a simple equation using an inequality. This activity focuses on the basic concepts by using...
Illustrative Mathematics
Log Ride
The rides at a theme park always have limits on weight or number of riders. This makes a natural example of the use of inequalities to solve real-world problems. Learners explore intuitive solutions using substitution to solve the...
Illustrative Mathematics
Rectangle Perimeter 3
This activity looks at writing expressions to represent perimeter of a rectangle and then considers the concept of equivalent expressions and the distributive property in more detail.
Illustrative Mathematics
Tax and Tip
Finding out how to calculate tax and tip is a valuable skill that all young adults should be able to do without a calculator. Learners are given a bill and asked to calculate the tax, tip, and total amount. Calculations can be exact or...
Illustrative Mathematics
Friends Meeting on Bicycles
It's a great day for a bike ride, but how long will it take? Your learners will have to calculate multiple variables in the problem using scaffolded questioning. Different answer choices are given, but you will need to create the table...
Illustrative Mathematics
Rolling Dice
Rolling dice is a great way for your mathematicians to get a hands-on approach to probabilities. Use the chart to record whether they rolled a six during ten attempts. Calculate results individually (or in small groups) and then record...
Illustrative Mathematics
Voting for Two, Variation 2
John won the election, but by how much more? Your learners will calculate how many votes each candidate received in order to determine the difference. Use with other lessons provided in the series to practice different variations of this...
Illustrative Mathematics
Voting for Two, Variation 3
After calculating election votes, your learners must determine how many votes the winner, John, got above 50%. This multi-step problem encourages them to think in a deeper way about what the question is asking them to find. Use with...
Illustrative Mathematics
Making Cookies
Hooray for chocolate chip cookies! Ask your mathematicians to triple a chocolate chip cookie recipe and then reduce the recipe by one-fourth. Your class may need two days to complete, tripling the recipe the first day and reducing the...
Illustrative Mathematics
Running at a Constant Speed
The learner must use the given constant speed to find the unit rate. A table is made in order to relate the speed to the time and the distance. From the table, learners are able to see the unit rate in miles per minute and miles per...
Curated OER
Election Poll, Variation 2
When a random sample isn't enough, your math class can compare the data from a physical simulation to decide if the probability is still likely. The lesson is part of a probability series that focuses on one question and different ways...
Curated OER
Election Poll, Variation 3
Build on probability and incorporate a random number generator to select outcomes for a school election. Your learners will record their results on a dot plot and answer questions regarding whether their candidate has a chance at the...
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