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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 lesson in a series of 21. Reasoning about numbers on a number line allows for this ordering.
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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 plan of a 21-part module. They identify appropriate units and determine opposites of rational numbers.
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Lesson Plan
EngageNY

The Opposite of a Number's Opposite

For Students 6th Standards
It's said that opposites attract, but what about opposites of opposites? Individuals learn about the opposite of opposites using number lines. They complete a group activity in which members determine the opposite of opposites of integers. 
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Lesson Plan
EngageNY

The Opposite of a Number

For Students 6th Standards
It's opposite day! The fourth installment of a 21-part module teaches scholars about opposites of integers and of zero. Number lines and real-world situations provide an entry point to this topic.
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Lesson Plan
EngageNY

Real-World Positive and Negative Numbers and Zero II

For Students 6th Standards
Continuing from the previous instructional activity in the series, scholars learn to use positive and negative integers to describe real-world situations. In groups, they come up with their own situations for given positive and negative...
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Lesson Plan
EngageNY

Real-World Positive and Negative Numbers and Zero

For Students 6th Standards
Class members investigate how positive and negative numbers are useful in the real world. Individuals first read a short passage and identify terms indicating positive and negative numbers. They consider situations involving positive...
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Lesson Plan
EngageNY

Positive and Negative Numbers on the Number Line—Opposite Direction and Value

For Teachers 6th Standards
Make your own number line ... using a compass. The first installment of a 21-part series has scholars investigate positive and negative integers on a number line by using a compass to construct points that are the same distance from zero...
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Assessment
EngageNY

End-of-Module Assessment Task: Grade 6 Math Module 2

For Students 6th Standards
Give learners a chance to shine. The last installment of a 21-part series is an end-of-module assessment. Scholars show their understanding of operations with decimals and division of fractions by solving problems in the context of 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 connects greatest common factor to the largest square that can be drawn in a rectangle.
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Lesson Plan
EngageNY

Least Common Multiple and Greatest Common Factor

For Students 6th Standards
Find the common denominator between prime factors, factor trees, and the distributive property. Scholars learn to find the least common multiple and greatest common factor of pairs of numbers. They rotate through stations to connect...
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Lesson Plan
EngageNY

Divisibility Tests for 3 and 9

For Students 6th Standards
Who knew the sum of a number's digits gives such interesting information? The 18th installment of a 21-part module has scholars investigate division by three and nine. After looking at several examples, they develop divisibility tests...
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Lesson Plan
EngageNY

Even and Odd Numbers

For Students 6th Standards
Even or not, here I come. Groups investigate the parity of products and sums of whole numbers in the 17th lesson in a series of 21. Using dots to represent numbers, they develop a pattern for the products of two even numbers; two odd...
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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

The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions

For Students 6th Standards
Knowing the standard algorithm opens up a whole new world of division. Scholars learn how to convert division involving decimals to division involving whole numbers to use the standard algorithm. Knowing how to multiply with powers of...
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Lesson Plan
EngageNY

Dividing Multi-Digit Numbers Using the Algorithm

For Students 6th Standards
Scholars learn to divide multi-digit numbers using the standard algorithm in the 14th installment in a module of 21 parts. They get plenty of practice with the algorithm by completing a worksheet.
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Lesson Plan
EngageNY

Estimating Digits in a Quotient

For Students 6th Standards
Boiling down any division problem to a one-digit divisor problem sure makes estimation easy. The lesson shows how to estimate division problems by using place value understanding and basic arithmetic facts to simplify the division. Some...
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Assessment
EngageNY

Mid-Module Assessment Task: Grade 6 Math Module 2

For Students 6th Standards
Make sure scholars know all about fractions and decimals — not just a fraction of the information. The 12th installment of a 21-part series is a mid-module assessment. Learners solve problems in the context of a birthday party and a...
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Lesson Plan
EngageNY

Fraction Multiplication and the Products of Decimals

For Students 6th Standards
Class members come up with a hypothesis on the number of decimal digits in the product of two decimals. Learners work in groups to complete several decimal multiplication problems. The results help groups develop a conjecture on the...
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Lesson Plan
EngageNY

The Distributive Property and the Products of Decimals

For Students 6th Standards
Make multiplication of decimals easier by applying the distributive property. Pupils investigate how they can use the distributive property to multiply decimals. After learning the strategy, they work on some practice problems at...
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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

Dividing Fractions and Mixed Numbers

For Students 6th Standards
Class members discover how to extend division to fractions to mixed numbers. Individuals first review how to convert mixed numbers to improper fractions and then apply division strategies learned in previous lessons. A memory game tests...
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Lesson Plan
EngageNY

The Relationship Between Visual Fraction Models and Equations

For Teachers 6th Standards
Ours is to wonder why, not just to invert and multiply. The seventh installment of a 21-part module uses fraction models to help pupils understand why the invert-and-multiply strategy for dividing fractions works. They then work on some...
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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 plan, pupils create stories for division problems, this time for partitive division problems. Trying out different situations and units...
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Lesson Plan
EngageNY

Creating Division Stories

For Students 6th Standards
Create your own adventure story ... well, not really. The fifth lesson in a 21-part series has pairs create story contexts for division problems. The lesson presents a step-by-step process for pupils to follow in writing such stories.