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Illustrative Mathematics

Equivalent Expressions?

For Teachers 7th - 8th Standards
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...
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Teach Engineering

Magnetic Fields

For Teachers 8th - 10th
Introduce your class to magnetic fields with an activity that demonstrates that a compass is affected by the magnetic field of the earth, unless a closer, stronger magnetic field is present. Pupils can use this fact in the...
Lesson Plan
Curated OER

Handshakin'

For Teachers 9th - 12th
Students investigate the concept of solving problems when given it in words and employing a wide variety of methods. They practice applying a logical sequence to find the solution to a problem while estimating possible answers to help in...
Lesson Plan
Curated OER

Three Squirrels and a Pile of Nuts

For Teachers 6th - 8th
Middle schoolers solve word problems using a spreadsheet, strategies, and algebraic variables. They disuss the given problem, which can be printed, write the unknowns, and employ the strategies into a spreadsheet. Students then use...
Lesson Plan
Curated OER

Parking Meters

For Teachers 3rd
Third graders are introduced to the problem with a short discussion about parking. They then solve with a partner. As they work ask questions that focus on the strategies they are using to make the calculations.
Lesson Plan
Curated OER

The Topsy-Turvy Twins

For Teachers 4th
Fourth graders read the problem and brainstorm for ways to solve the problem - list these on the board for the students to refer to as they solve the problem. They work in pairs and focus on the strategy selected.
Lesson Plan
Curated OER

Noughts

For Teachers 6th - 11th
Learners try to figure out the strategies to the game Noughts. Students logic must play a part in the process of the game. Learners apply the symmetries of regular polygons. Students devise ways to critically follow a chain of reasoning.
Lesson Plan
Curated OER

Weighing Time

For Teachers 9th - 12th
Students devise a strategy to solve problems that is done in a systematic and mathematical fashion. The finding of the unknown value is the focus of the lesson plan. To solve linear equations proficiently is the skill of the lesson plan.
Lesson Plan
Curated OER

Counting Pills

For Teachers 4th - 5th
Learners are introduced to the problem. They brainstorm ideas for approaching the problem and keeping track of what has been done. Students work on the problem in pairs to discover what strategies might help to find the answer.
Lesson Plan
Curated OER

Square Milk Bottle Crates

For Teachers 7th - 12th
Students attempt a problem that Students has the potential to have more than one solution. Hence the problem is accessible to a wide range of students. The problem is essentially about finding patterns and this is typical of a number of...
Lesson Plan
Curated OER

Ohio Census 1990 and 2000

For Teachers 4th - 6th
Students begin the lesson by examining Census data from the state of Ohio from 1990 and 2000. Using a worksheet, they solve problems using the data and a calculator. They share their responses with the class and discuss what the data...
Lesson Plan
Curated OER

Buttons and Bears

For Teachers 3rd - 4th
Students read the problem and then identify the important information in the problem and highlight. They then brainstorm for ways to solve the problem by drawing a picture and working in pairs.
Lesson Plan
Curated OER

My Dogs

For Teachers 2nd - 5th
Learners use the properties of multiplication to solve problems. They recall the basic multiplication facts as well as write and solve problems that involve whole numbers.
Lesson Plan
Curated OER

QwikQure Algebra

For Teachers 4th
Fourth graders are introduced to the problem using a bottle of medicine. They estimate the volume of the medicine and predict the instructions on the bottle. They then think about how they might solve the problem before asking them to...
Lesson Plan
Curated OER

Simple Machines

For Teachers 6th
Sixth graders explore simple machines. They identify tools and machines that are used in everyday life. Students examine the purpose and uses of everyday tools. They create a tool or machine that can be used to solve a problem.
Lesson Plan
Curated OER

Fifty Toes

For Teachers 2nd - 4th
Students guess the subject of the given problem by reasoning. Then they discuss the ways that the problem could be solved by keeping track of their counting in 10s and showing their work.
Lesson Plan
Curated OER

Shopping

For Teachers 1st - 3rd
Learners give change for sums of money. They also solve subtraction problems presented in different forms. The problem Students answer takes a look at a situation from three different perspectives.
Lesson Plan
Curated OER

Free Cell

For Teachers 4th
Fourth graders use algebra to begin solving a problem. The problem has a real world application to engage learners. The main skill is converting fractions and decimals. Also finding the right number sentence for the word problem is...
Lesson Plan
Curated OER

EUREKA! Living Room Redecoration

For Teachers 10th
Tenth graders calculate area and perimeter based on the dimensions of a living room. They use these calculations to respond to questions about supplies needed for painting and carpeting the room. Students use math to solve problems and...
Lesson Plan
Curated OER

The Fathers' Day Card

For Teachers 3rd - 6th
Students subtract using decimals and find half of a decimal number. They write and solve problems which involve decimals and which require a choice of one or more of the four arithmetic operations.
Lesson Plan
Curated OER

Legs in the Barn

For Teachers 2nd - 4th
Learners listen to the problem being read. They then brainstorm possible approaches and are encouraged to plan ways of recording their work so that others examine what they have done and share their findings.
Lesson Plan
Curated OER

The Tiled Courtyard

For Teachers 5th
Fifth graders use the guess and check technique to solve a problem involving transformations. They work with a grid and criteria provided by the teacher to solve a sequence with black and white rows.
Lesson Plan
Curated OER

The Garden

For Teachers 3rd - 5th
Students talk about the types of insects that you might see if you looked in the garden. They then brainstorm for ideas about how to solve the problem, sort objects into categories and display the results and count the objects in a...
Lesson Plan
Curated OER

Mosaic Puzzles

For Teachers 3rd - 5th
Learners use this problem to develop spatial skills. As the students handle the shapes and join them together they strengthen their understanding of the attributes of shapes. This lesson also gives learners the opportunity to make up...

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