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Lesson Plan
EngageNY

Dilations on the Coordinate Plane

For Teachers 8th Standards
Dilations from the origin have a multiplicative effect on the coordinates of a point. Pupils use the method of finding the image of a point on a ray after a dilation to find a short cut. Classmates determine the short cut of being able...
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Assessment
EngageNY

Mid-Module Assessment Task: Grade 8 Module 6

For Students 8th Standards
Make sure pupils have the skills to move on to the second half of the module with a mid-module assessment task. The formative assessment instrument checks student learning before moving on to the rest of the lessons in the unit.
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Assessment
EngageNY

Mid-Module Assessment Task: Grade 8 Module 1

For Students 8th Standards
Assess your young mathematicians' knowledge and understanding of the properties of exponents. The questions in the seventh lesson of 15 incorporate the properties learned in the first six modules of this series. Individuals use and apply...
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Lesson Plan
EngageNY

Efficacy of Scientific Notation

For Students 8th Standards
How many times could California fit into the entire United States? Pupils use scientific notation to find the answer to that question in the 12th installment of 15 lessons. It asks scholars to write numbers in scientific notation and...
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Assessment
EngageNY

End-of-Module Assessment Task: Grade 8 Module 1

For Students 8th Standards
It's all in the numbers. Determine your pupils' level of understanding of scientific notation using this assessment task. The final lesson in the series assesses scholars on the application of scientific notation in real-life situations....
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Lesson Plan
EngageNY

Characteristics of Parallel Lines

For Teachers 8th Standards
Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...
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Assessment
EngageNY

Mid-Module Assessment Task: Grade 8 Module 4

For Students 8th Standards
Determine what the class knows about linear equations. The three-question mid-module assessment is segment 15 in a 33-part series. The assessment includes writing and solving one-variable linear equations and graphing proportional...
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Lesson Plan
EngageNY

Sequencing Rotations

For Students 8th Standards
Discover the result of a sequence of rotations about different centers. Pupils perform rotations to examine the patterns. They also describe the sequence of rotations that performed to reach a desired result in the ninth installment in a...
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Lesson Plan
EngageNY

Sequences of Rigid Motions

For Students 8th Standards
Examine the various rigid transformations and recognize sequences of these transformations. The activity asks learners to perform sequences of rotations, reflections, and translations. Individuals also describe a sequence that results in...
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Lesson Plan
EngageNY

The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m

For Teachers 8th Standards
Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...
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Lesson Plan
EngageNY

More on the Angles of a Triangle

For Students 8th Standards
Angles and triangles: they're all connected. Uncover the connections between angles in triangles. Scholars learn how to find both exterior and interior angle measures in triangles. The lesson emphasizes the vocabulary related to these...
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Lesson Plan
EngageNY

Examples of Functions from Geometry

For Teachers 8th Standards
Connect functions to geometry. In the ninth installment of a 12-part module, young mathematicians create functions by investigating situations in geometry. They look at both area and volume of figures to complete a well-rounded lesson.
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Lesson Plan
EngageNY

Volumes of Familiar Solids – Cones and Cylinders

For Teachers 8th Standards
Investigate the volume of cones and cylinders. Scholars develop formulas for the volume of cones and cylinders in the 10th activity of the module. They then use their formulas to calculate volume.
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Assessment
EngageNY

End-of-Module Assessment Task: Grade 8 Module 5

For Students 8th Standards
Give your class a chance to show how much they've learned in the module with an end-of-module assessment task that covers all topics from the module including linear and non-linear functions and volumes of cones, cylinders, and spheres.
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Lesson Plan
EngageNY

Simplifying Square Roots

For Students 8th Standards
Explore the process of simplifying square roots through an analysis of perfect squares. The fourth instructional activity of 25 expects individuals to find the perfect square factors in each radicand as a means of simplifying. The...
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Lesson Plan
EngageNY

The Long Division Algorithm

For Students 8th Standards
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
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Lesson Plan
EngageNY

Comparing Irrational Numbers

For Students 8th Standards
Build on your classes' understanding of irrational numbers by comparing their values. The 13th lesson in the 25-part module has individuals estimate values of both perfect and non-perfect roots. They finish by graphing these numbers on a...
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Lesson Plan
EngageNY

Pythagorean Theorem, Revisited

For Students 8th Standards
Transform your pupils into mathematicians as they learn to prove the popular Pythagorean Theorem. The 16th lesson in the series of 25 continues by teaching learners how to develop a proof. It shows how to prove the Pythagorean Theorem...
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Lesson Plan
EngageNY

Decimal Expansion of Pi

For Students 8th Standards
Develop a better understanding of the value of pi. Learners explore the area of a circle using estimation and graph paper. While continuing to estimate the area of the circle using smaller and smaller grids, the number pi emerges. 
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Lesson Plan
EngageNY

Distance on the Coordinate Plane

For Students 8th Standards
Apply the Pythagorean Theorem to coordinate geometry. Learners find the distance between two points on a coordinate plane by using the Pythagorean Theorem. The vertical and horizontal change creates a right triangle, which allows...
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Assessment
EngageNY

Mid-Module Assessment Task: Grade 7 Mathematics Module 3

For Students 7th Standards
Lesson 16 in the series of 28 is a mid-module assessment. Learners simplify expressions, write and solve equations, and write and solve inequalities. Most questions begin as word problems adding a critical thinking component to the...
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Assessment
EngageNY

Mid-Module Assessment Task: Grade 7 Mathematics Module 5

For Students 7th Standards
Determine the probability that the class knows probability. The three-question assessment presents problems with finding the sample space and the probability, theoretical and experimental, of a variety of situations. Pupils also describe...
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Assessment
EngageNY

End-of-Module Assessment Task: Grade 7 Mathematics Module 5

For Students 7th Standards
Show learners how to use simulations and random sampling to reach conclusions with the last resource in a 25-part series. The assessment contains three scenarios, each with several parts, and covers comparing populations using random...
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Lesson Plan
EngageNY

Percent Increase and Decrease

For Teachers 7th Standards
Increase the percent of pupils that are fluent in solving change problems with an activity that asks class members to look at problems that involve either increases or decreases and to express the change in terms of the percent of the...

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