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Illustrative Mathematics
Words to Expressions 1
Designed as a follow-up to the lesson plan titled Watch Out for Parenthesis 1, this activity asks young learners to write an equation for the calculation described with words rather than numbers and symbols. The treasure that 5th...
Curated OER
Interpreting Algebraic Expressions
Interpreting algebraic expressions is a fundamental skill in beginning algebra. This lesson approaches the task in numerous ways. First, learners assess their understanding with a short worksheet on converting between words and...
Curated OER
Carnival Tickets
A great subtraction and division discovery opportunity for young mathematicians, this learning task involves seven word problems that require multiple steps. Learners use a math table to persevere in solving problems that 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...
Curated OER
The Class Trip
Mrs. Moore's class is trying to earn money for a trip to the science museum, but how much more do they need? Solve this problem with your own class as they develop their ability to model real-life situations algebraically. As an added...
Curated OER
Jon and Charlie's Run
Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...
Curated OER
Visiting the Arcade
Second graders take a trip to the arcade in an activity that engages them in problem solving with money. Composed of three word problems, youngsters are instructed to determine various combinations to represent a given value by using...
Illustrative Mathematics
Margie Buys Apples
One of the most common, everyday applications of math is dealing with money. This single problem calculating how much change Margie receives is more involved than it appears at first glance. An understanding of how fractions and decimals...
Statistics Education Web
Types of Average Sampling: "Household Words" to Dwell On
Show your classes how different means can represent the same data. Individuals collect household size data and calculate the mean. Pupils learn how handling of the data influences the value of the mean.
Illustrative Mathematics
To Multiply or not to multiply?
When do you multiply a fraction by a fraction? Here, fifth graders are given 10 different word problems and asked to decide if multiplying 2/5 x 1/8 is appropriate. Many times, real-world word problems sound similar although the required...
Curated OER
Do These Add Up?
Common Core mathematical practices require that young mathematicians not only know how to add fractions with unlike denominators, but also to recognize when adding fractions are appropriate for the word problem. Fifth graders are given...
Illustrative Mathematics
Throwing Baseballs
This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches...
Illustrative Mathematics
Grass Seedlings
Plants never grow at the same rate, and that is the antithesis for this word problem involving multiplication of fractions. On the worksheet, Raul notices that Pablo's seedlings are 1 1/2 times as tall, and Celina's seedlings are 3/4 as...
Curated OER
Snow Day
It's a snow day, and two brothers attending schools with different schedules each got a late start to the day. But who had the shorter school day? That's what your class will find out as they apply their knowledge of fractions to this...
Illustrative Mathematics
Rounding to 50 or 500
In a six-problem learning activity, children are guided to solve word problems that involve rounding to the nearest ten and nearest hundred. A commentary and answer key provide different approaches that learners may take in solving the...
Illustrative Mathematics
Painting a Wall
Red and yellow do not make orange in this activity, but they do create a real-life, multiplication of fractions word problem. As either a lead-in or an assessment, math masters display their understanding of 1/2 x 5/6 when a wall...
Illustrative Mathematics
How Many Containers in One Cup / Cups in One Container?
The object is to model fraction division by asking “How many are in one group?” It is a difficult concept to understand, but developing the model that shows one cup to a certain amount of container or one container to a certain amount of...
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Statistics Education Web
First Day Statistics Activity—Grouping Qualitative Data
Making groups of groups can help to organize data. Classes use statistics to group themselves using descriptive adjectives. The objective is for learners to understand that grouping qualitative data is useful when the original groups are...
Curated OER
20 Tickets
A great hands-on activity involving adding and subtracting, beginner mathematicians determine how many games can be played with 20 tickets. Instead of tickets, youngsters use 20 counters or linking cubes to represent the amount of...
Math Stars
Math Stars: a Problem-Solving Newsletter Grade 7
Put on your thinking caps because middle school math has never been more interesting in this huge resource full of thought provoking questions. Written as a newsletter, the resource has 10 two-page newsletters with a variety of...
Curated OER
Coconut and Chocolate Chip Passover Macaroons
Recipies are a natural medium for using fractions in real-world problems. This delicious activity has learners adapting the ingredients for coconut and chocolate chip macaroons, a Passover treat, for fewer and more cookies than the...
Curated OER
Classroom Supplies
Challenge young mathematicians to buy classroom supplies by staying within the means of a $1,000 budget. The mathematical activity provides learners with the opportunity to decide what items from the supply list would benefit a class of...
Curated OER
Alexander, Who Used to be Rich Last Sunday
What a great way to incorporate Judith Viorst's story, Alexander, Who Used to Be Rish Last Sunday, with a math lesson on money. Second graders listen to the story being read while the teacher stops to record each time Alexander spends...
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