# Unit 1 grade 7 math

Turn content from Match Fishtank lessons into custom handouts for students in just a few clicks. Download Sample. The essential concepts students need to demonstrate or understand to achieve the lesson objective. Distinguish between a population and a sample populationand identify both for statistical questions. Understand that a population characteristic is determined using data from the entire population, whereas a sample statistic is determined using data from a sample of the population.

Describe different ways that data can be collected to answer a statistical question. Understand why a sample of a population may be useful or necessary to answer a statistical question. In sixth grade, students studied statistical questions, understanding that statistical questions anticipate variety in the data. This is the first time students investigate the taking of a sample of a population in order to answer a statistical question. Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding.

Why is this question a statistical question? What do you think population refers to in this example? In general, what do you think population refers to for any statistical question?

How many different ways can you think of to collect the data? Do your collection methods involve getting information for every student in your class or only some? Given time, this could be a good opportunity to have students actually collect the data and present it using a graphical representation as a review of sixth-grade standards.

### New Jersey Department of Education

How are the populations for these questions different from the population in Anchor Problem 1? Why is it not feasible or reasonable to collect data for the entire populations in these examples? What do you think a sample of a population is? Why might a sample of a population be useful in answering your questions? Does your answer using a sample imply an exact answer for the population? Why or why not? Describe in your own words the difference between a population characteristic and a sample statistic.

Students may offer ideas for samples that are not representative for example, poll a sample of people on your block or use the data from your class to generalize for the school. In the next lesson, students will spend more time discussing and thinking about what makes a sample representative and why it is important.

Is it feasible or reasonable to collect data from the entire population in each question? For which questions would it be best to collect a sample? What are different ways that you can collect your data? Which ways are easy? Accessed Dec. A set of suggested resources or problem types that teachers can turn into a problem set.

Worksheet of practice problems related to the objective of the lesson. To edit this document use the student handout editor. The following resources include problems and activities aligned to the objective of the lesson.

They can be used to create a problem set for class for non-Fishtank Plus usersor as supplementary or additional resources to the pre-made Problem Set for Fishtank Plus users. A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved. Lin wants to know how many games teenagers in the United States have on their phones.Grade 7 Math. Search this site. Unit 1: Number Sense.

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Unit 2: Fraction Operations. Unit 3: Fractions, Decimals, and Percents. Unit 4: Decimal Operations. Unit 5: Integers. Unit 6: Transformations. Unit 7: Patterns and Relations. Unit 8: Linear Algebra. Unit 9: Geometry. Unit Probability and Statistics. Unit 1 - Number Sense. Unit 2 - Fraction Operations. Unit 3 - Fractions, Decimals, and Percents.

Unit 4 - Decimal Operations. Unit 5 - Integers. Unit 6 - Transformations. Unit 7 - Patterns and Relations. Unit 8 - Linear Algebra. Unit 9 - Geometry. Unit 10 - Probability and Statistics. Unit 1: Factors and Multiples Review. Unit 2: Fractions Review. Unit 3: Percent Review. Unit 4: Decimals Review. Unit 5: Integers Review. Unit 6: Transformations Review. Unit 7: Patterns and Relations Reveiw. Unit 8: Balanced Equation Review.

Unit 9: Geometry Review. Unit Probability and Statistics Review.

Grade 7 Illustrative Math: Unit 1, Lesson 8 "Scale Drawings and Maps"

The Marketplace. Origami Transformations. Teach the World to Algebra. Parks and Math. IQ - What is the rule of divisibility for the number 12? How can we use the rules for other numbers to figure this out? Tasha Caron, Oct 12,AM.Here is a figure that looks like the letter A, along with several other figures. Which figures are scaled copies of the original A? Explain how you know. Quadrilateral A has side lengths 6, 9, 9, and Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of length 2.

What is the perimeter of Quadrilateral B? If the distance from P to R is 3 units, what is the distance from Q to S? To make 1 batch of lavender paint, the ratio of cups of pink paint to cups of blue paint is 6 to 5. Find three more ratios of cups of pink paint to cups of blue paint that are equivalent to this ratio. Triangle S and Triangle L are scaled copies of one another. What is the scale factor from L to S?

A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to feet. If the park is shown as a square on the map, each side of which is one foot long, how long is each side of the square park? Here is an unlabeled rectangle, followed by other quadrilaterals that are labeled. Select all quadrilaterals that are scaled copies of the unlabeled rectangle.

If Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3, what is the perimeter of Q? A model airplane is built at a scale of 1 to If the model plane is 8 inches long, how many feet long is the actual airplane?

Elena finds that the area of a house on a scale drawing is 25 square inches. The actual area of the house is 2, square feet. What is the scale of the drawing?They are randomly generated, printable from your browser, and include the answer key. The worksheets support any seventh grade math and pre-algebra programs, but have been specifically designed to match Math Mammoth grade 7 curriculum.

The worksheets are randomly generated each time you click on the links below. You can also get a new, different one just by refreshing the page in your browser press F5. You can print them directly from your browser window, but first check how it looks like in the "Print Preview". If the worksheet does not fit the page, adjust the margins, header, and footer in the Page Setup settings of your browser.

Some browsers and printers have "Print to fit" option, which will automatically scale the worksheet to fit the printable area.

They continue studying ratio and percent and learn about proportions. Please note that these free worksheets do not cover all 7th grade topics; most notably, they do not include problem solving.

The worksheets in this introductory section correspond with Math Mammoth Grade 7, Chapter 1, and don't involve negative numbers. A good book on problem solving with very varied word problems and strategies on how to solve problems. This is a workbook series by Key Curriculum Press that begins with basic concepts and operations on decimals. Then the books cover real-world uses of decimals in pricing, sports, metrics, calculators, and science. The set includes books These workbooks by Key Curriculum Press feature a number of exercises to help your child learn about fractions.

Book 1 teaches fraction concepts, Book 2 teaches multiplying and dividing, Book 3 teaches adding and subtracting, and Book 4 teaches mixed numbers. Each book has a practice test at the end. Write numbers given in scientific notation in normal form - up to 8-digit numbers Write numbers given in scientific notation in normal form - up to digit numbers Complex fractions.

Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students to understand abstract concepts.

Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books using only integers. Books introduce rational numbers and expressions. Books extend coverage to the real number system. Algebra is often taught abstractly with little or no emphasis on what algebra is or how it can be used to solve real problems.

Just as English can be translated into other languages, word problems can be "translated" into the math language of algebra and easily solved. Real World Algebra explains this process in an easy to understand format using cartoons and drawings. This makes self-learning easy for both the student and any teacher who never did quite understand algebra.

Includes chapters on algebra and money, algebra and geometry, algebra and physics, algebra and levers and many more.

Designed for children in grades with higher math ability and interest but could be used by older students and adults as well.In this day Grade 7 module, students build upon sixth grade reasoning of ratios and rates to formally define proportional relationships and the constant of proportionality.

Students explore multiple representations of proportional relationships by looking at tables, graphs, equations, and verbal descriptions. Students extend their understanding about ratios and proportional relationships to compute unit rates for ratios and rates specified by rational numbers.

The module concludes with students applying proportional reasoning to identify scale factor and create a scale drawing. The copy ready materials are a collection of the module assessments, lesson exit tickets and fluency exercises from the teacher materials. Prev - Grade 7 Mathematics. Grade 7 Mathematics Module 1. The student materials consist of the student pages for each lesson in Module 1. Like Grade 7 Mathematics Module 1: Teacher Materials 8. Related Resources Resource Document. Examples: simple Lesson 1. Lesson 2. Lesson 3. Lesson 4. Lesson 5. Lesson 6. Lesson 7. Lesson 8. Lesson 9.Your teacher will give you a set of cards that have polygons drawn on a grid.

Mix up the cards and place them all face up. What is a scaled copy of a figure? The second drawing is spread out wider and shorter. The third drawing is squished in narrower, but the same height. We will learn more about what it means for one figure to be a scaled copy of another in upcoming lessons. Which figures are scaled copies of the original A? Explain how you know. Here are some copies of the picture. Lesson 1 What are Scaled Copies?

Here is a portrait of a student. Move the slider under each image, A—E, to see it change. On the top left is the original drawing of the letter F. There are also several other drawings. Identify all the drawings that are scaled copies of the original letter F drawing.

Examine all the scaled copies more closely, specifically, the lengths of each part of the letter F. How do they compare to the original? What do you notice? On the grid, draw a different scaled copy of the original letter F. Take turns with your partner to match a pair of polygons that are scaled copies of one another.

For each match your partner finds, listen carefully to their explanation, and if you disagree, explain your thinking. When you agree on all of the matches, check your answers with the answer key. If there are any errors, discuss why and revise your matches. Select one pair of polygons to examine further.

Explain or show how you know that one polygon is a scaled copy of the other.

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Either draw such a polygon, or explain how you know this is impossible. Back to top Lesson 2.Here is a picture with some points labeled and two copies of the picture. Drag and turn the moveable angle tool to compare the angles in the copies with the angles in the original. Expand Image. Right triangle A has sides 2, 3 halves, 5 halves.

B has sides 6. C has sides 6, 7, 8. Right triangle D has sides 2, 5, and 5. Right triangle E has sides 2, 2, and 2. Right triangle F has sides 6, 8, and Right triangle G has sides 3, 4, and 5. Right triangle H has sides 2, 8 thirds, and 10 thirds. Choose one of the triangles that is not a scaled copy of Triangle O. Describe how you could change at least one side to make a scaled copy, while leaving at least one side unchanged. A figure and its scaled copy have corresponding partsor parts that are in the same position in relation to the rest of each figure. These parts could be points, segments, or angles.

For example, Polygon 2 is a scaled copy of Polygon 1. Side AB slants down and to right with length 3. Side CD slants up and to right with length 2. Side DE slants down and to left with length 1 point 3. Side EF is horizontal with length 2.

Side FA slants up and to left with length 2.