Lesson Plan
EngageNY

The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math

For Students 6th Standards
Make math much simpler with mental math methods. The 16th installment in a series of 21 looks at ways scholars can apply mental math to convert division problems into easier problems with the same quotient. Multiplying or dividing both...
Lesson Plan
EngageNY

A Critical Look at Proportional Relationships

For Teachers 8th Standards
Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...
Lesson Plan
Illustrative Mathematics

Start/Stop Counting II

For Teachers K - 2nd Standards
Take stroll around the classroom while teaching young mathematicians to count fluently with this whole-group math activity. The teacher starts things off by walking around the room while counting up from the number one and continues...
Lesson Plan
2
2
Illustrative Mathematics

Making a Clock

For Teachers K - 2nd Standards
Have a fun time teaching children to read analog clocks with this whole-group math activity. Using large sets of the numerals 1-12 and 0, 5, 10...55, the teacher creates a large clock on either the carpet or the white board, explaining...
Lesson Plan
EngageNY

Getting the Job Done—Speed, Work, and Measurement Units II

For Students 6th Standards
How fast is your class? Learners determine the amount of time it takes individuals to walk a given distance and calculate their speeds. Pupils solve distance, rate, and time problems using the formula and pay attention to the...
Lesson Plan
Illustrative Mathematics

Size Shuffle

For Teachers Pre-K - 2nd Standards
In the eyes of children the world is a simple place, objects are either big or small. This simple activity aims to expand the comparison language of young mathematicians as they use the words taller and shorter to compare their...
Lesson Plan
Illustrative Mathematics

Weather Graph Data

For Teachers K - 2nd Standards
Teaching young mathematicians about collecting and analyzing data allows for a variety of fun and engaging activities. Here, children observe the weather every day for a month, recording their observations in the form of a bar graph....
Lesson Plan
EngageNY

Sampling Variability

For Teachers 7th Standards
Work it out — find the average time clients spend at a gym. Pupils use a table of random digits to collect a sample of times fitness buffs are working out. The scholars use their random sample to calculate an estimate of the mean of the...
Lesson Plan
EngageNY

Constant Rates Revisited

For Teachers 8th Standards
Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...
Lesson Plan
EngageNY

Inverse Trigonometric Functions

For Teachers 11th - 12th Standards
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson of a 16-part series. They use inverse functional...
Lesson Plan
EngageNY

The Relationship of Multiplication and Addition

For Teachers 6th Standards
You know 4 + 4 + 4 = 3(4), but what about x + x + x? Pairs work together to develop equivalent expressions relating multiplication and addition in the third lesson of a 36-part series. They extend their knowledge of multiplication as...
Lesson Plan
EngageNY

Read Expressions in Which Letters Stand for Numbers

For Teachers 6th Standards
Pencil in the resource on writing verbal phrases into your lesson plans. The 15th installment of a 36-part module has scholars write verbal phases for algebraic expressions. They complete a set of problems to solidify this skill.
Lesson Plan
EngageNY

Some Facts About Graphs of Linear Equations in Two Variables

For Teachers 8th Standards
Develop another way to find the equation of a line. The lesson plan introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.
Lesson Plan
EngageNY

More Division Stories

For Teachers 6th Standards
Don't part with a resource on partitive division. Continuing along the lines of the previous lesson, pupils create stories for division problems, this time for partitive division problems. Trying out different situations and units allows...
Lesson Plan
EngageNY

Solving Problems by Finding Equivalent Ratios

For Teachers 6th Standards
Combine total quantities and equivalent ratios in problem solving. The fifth lesson in a series of 29 presents problems that can be solved using equivalent ratios. Pupils use part-to-part ratios and either sums or differences of the...
Assessment
Noyce Foundation

Granny’s Balloon Trip

For Teachers 5th - 8th Standards
Take flight with a fun activity focused on graphing data on a coordinate plane. As learners study the data for Granny's hot-air balloon trip, including the time of day and the distance of the balloon from the ground, they practice...
Lesson Plan
EngageNY

The Hunt for Better Notation

For Teachers 11th - 12th Standards
The matrix — it's not just a movie. The lesson introduces the concept of 2 x 2 matrix multiplication as a way to represent linear transformations. Class members determine when a linear transformation represented as matrix...
Assessment
1
1
Balanced Assessment

Toilet Graph

For Students 9th - 12th Standards
Mathematics can model just about anything—so why not simulate the height of water in a toilet bowl? The lesson asks pupils to create a graphical model to describe the relationship of the height of the water as it empties and fills again....
Assessment
1
1
Balanced Assessment

All Aboard

For Students 9th - 12th Standards
Pupils must graph the location of a train using the time given a timetable. They analyze the different legs of the trip, graph the return trip, and compare the two graphs. The lesson ends with a discussion of similarities and...
Lesson Plan
Illustrative Mathematics

Growing Bean Plants

For Teachers K - 2nd Standards
Plant growth experiments offer rich, cross-curricular learning opportunities that can really excite and engage young learners. In this series, children work in pairs planting, measuring, and comparing the height of bean plants in order...
Lesson Plan
Illustrative Mathematics

Grandfather Tang's Story

For Teachers K - 2nd Standards
It's amazing the complex figures that can be made using only a few simple shapes. Following a class reading of the children's book Grandfather Tang's Story by Ann Tompert, young mathematicians use sets of tangrams to create models...
Assessment
Concord Consortium

Summertopia

For Students 5th - 7th Standards
What if the unit of money changes tomorrow? Would you be prepared? Learners calculate currency conversions using fictional units of money. The fictional unit's base is 60 rather than 100, which can connect to time or even degrees.
Lesson Plan
Illustrative Mathematics

All vs. Only Some

For Teachers Pre-K - 2nd Standards
All shapes have certain defining attributes that set them apart from others. In order to understand this, young mathematicians look at examples and non-examples of triangles, rectangles, and squares, working as a whole class to create...
Assessment
Concord Consortium

City of New Orleans

For Students 9th - 12th Standards
In the United States, most trains operate at a top speed of 100 miles per hour. Scholars use information on the distance and time of a train trip to determine if the train ever reaches a specific speed. They connect pieces of information...

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