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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...
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Lesson Plan
EngageNY

Interpreting Division of a Whole Number by a Fraction—Visual Models

For Teachers 6th Standards
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...
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Lesson Plan
EngageNY

Interpreting Division of a Fraction by a Whole Number—Visual Models

For Teachers 6th Standards
Divide fractions just like a model does. Pupils visualize the division of a fraction by a whole number by creating models. Scholars make the connection between dividing by a whole number and multiplication before practicing the skill...
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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.
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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...
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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...
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Lesson Plan
National Security Agency

Classifying Triangles

For Teachers 4th - 8th Standards
Building on young mathematicians' prior knowledge of three-sided shapes, this instructional activity series explores the defining characteristics of different types of triangles. Starting with a shared reading of the children's book The...
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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...
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Lesson Plan
EngageNY

The Relationship of Multiplication and Division

For Teachers 6th Standards
Take any number, multiply it by five, and then divide by five. Did you end up with the original number? In the same vein as the previous lesson, pupils discover the relationship between multiplication and division. They develop the...
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Lesson Plan
EngageNY

A Fraction as a Percent

For Teachers 6th Standards
It is all about being equivalent. Class members convert between fractions, decimals, and percents. By using visual models, scholars verify their conversions in the 25th portion of a 29-part series.
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Lesson Plan
EngageNY

Writing Division Expressions

For Teachers 6th Standards
Express division using different expressions. Individuals learn to write division expressions both with and without the division symbol in the 13th lesson of a 36-part series. They consider both numerical and algebraic expressions...
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Lesson Plan
EngageNY

Read Expressions in Which Letters Stand for Numbers II

For Teachers 6th Standards
Reading and writing take on a whole different meaning in math class. Young mathematicians learn to read verbal phrases by focusing on operation words. They write equivalent algebraic expressions for both mathematical and contextual...
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Lesson Plan
EngageNY

Associated Ratios and the Value of a Ratio

For Teachers 6th Standards
Do ratios have values? The seventh instructional activity in a series of 29 introduces the value of a ratio. Pupils create associated ratios to a given ratio. They also describe the fraction associated to the ratio as the value of the...
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Lesson Plan
EngageNY

Tables of Equivalent Ratios

For Teachers 6th Standards
Don't table the discussion on equivalent ratios — do it now! Scholars create tables of equivalent ratios to represent contextual problems. Pupils go on to use the tables to answer questions within the context. The lesson is ninth in a...
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Lesson Plan
EngageNY

The Euclidean Algorithm as an Application of the Long Division Algorithm

For Students 6th Standards
Individuals learn to apply the Euclidean algorithm to find the greatest common factor of two numbers. Additionally, the lesson plan connects greatest common factor to the largest square that can be drawn in a rectangle.
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Lesson Plan
EngageNY

Rational Numbers on the Number Line

For Students 6th Standards
Individuals learn how to plot rational numbers on the number line in the sixth lesson of a 21-part module. They identify appropriate units and determine opposites of rational numbers.
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Lesson Plan
EngageNY

Describing Distributions Using the Mean and MAD

For Teachers 6th Standards
What city has the most consistent temperatures? Pupils use the mean and mean absolute deviation to describe various data sets including the average temperature in several cities. The 10th lesson in the 22-part series asks learners to...
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Lesson Plan
EngageNY

Summarizing a Data Distribution by Describing Center, Variability, and Shape

For Teachers 6th Standards
Put those numbers to work by completing a statistical study! Pupils finish the last two steps in a statistical study by summarizing data with displays and numerical summaries. Individuals use the summaries to answer the statistical...
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Lesson Plan
EngageNY

Sums and Differences of Decimals

For Students 6th Standards
Sometimes dealing with decimals is so much easier than dealing with fractions. The ninth lesson in a 21-part module has the class consider situations when it might be easier to add or subtract fractions by first converting to decimals....
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Lesson Plan
EngageNY

Ordering Integers and Other Rational Numbers

For Students 6th Standards
Scholars learn to order rational numbers in the seventh instructional activity in a series of 21. Reasoning about numbers on a number line allows for this ordering.
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Lesson Plan
EngageNY

Percent of a Quantity

For Teachers 6th Standards
Visualize methods of finding percents. Classmates find a percent of a quantity using two methods including a visual model in the 26th lesson in a series of 29. By the end of the lesson, scholars find percents given a part and the whole...
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Lesson Plan
EngageNY

More Practice with Box Plots

For Teachers 6th Standards
Don't just think outside of the box — read outside of it! The 15th lesson in a 22-part unit provides pupils more work with box plots. Learners read the box plots to estimate the five-number summary and interpret it within the context....
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Lesson Plan
EngageNY

Exponents

For Teachers 6th Standards
Powered up! Here's a great resource on exponents. Scholars build on their previous understanding of exponents to include all positive real number bases. Distinguishing between an and a^n is a major goal in the fifth lesson of a 36-part...
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Lesson Plan
EngageNY

True and False Number Sentences

For Teachers 6th Standards
True or false? Scholars determine the truth value of equations and inequalities through substitution. All values to use for substitution are given with each equation or inequality. This is the 24th lesson in a module of 36.

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