Lesson 2 practice problems unit 4

Multiplication and Division Practice Unit.

lesson 2 practice problems unit 4

Please click the images below for more information. Multiplication and Division Practice Unit homeschool math lessons are designed to help parents teach students multiplication and division through examples and practice problems. Go to Class Lessons and download the lesson plan and the first lesson for either multiplication or division.

Start with the Day 1 assignment. Follow the instructions each day on the lesson plan and check them off when completed. These Multiplication and Division Practice Unit homeschool math lessons use an area model, or box model, to teach multiplication. This approach is an excellent way to build conceptual understanding that the standard algorithm for multiplication does not provide.

Multiplication and Division Practice Unit homeschool math problems intentionally follow the same pattern to allow students time to master each problem type. Every lesson builds on the lesson before with a new level of complexity.

In addition to building computational skills, the Multiplication and Division Practice Unit also sprinkles in lessons on how to interpret the remainder in real-life situations. Close Affiliate Banner. Click on the image above to be taken to our Affiliate Image Gallery, where you can find additional images for this class. You can use our affiliate banner on your website, blog, or even social network to tell your friends, family, and contacts about this wonderful class.

Visit our Affiliate Image Gallery here. Close Quick Start. Need help? Check out our tutorials or click the live chat box in the corner of your screen. Related Classes You May Enjoy. Algebra for Kids. Algebra 1. Algebra 2. All About Shapes. Building a Foundation with Kindergarten Math. Daily Math. Decimal Workshop. Doodles Do Math. Everyday Games. Fractions Workshop.

lesson 2 practice problems unit 4

How to Teach Elementary Math. Let's Do Math Outside. Multiplication Workshop. Starting Out with First Grade Math. Staying Sharp with Sixth Grade Math. Steaming Ahead with Fifth Grade Math.The table shows the monthly revenue of a business rising exponentially since it opened an online store.

When the bacteria population reaches12 hours have passed since the colony was placed on the petri dish. Three hours after the colony is placed on the petri dish, there are about bacteria in the colony. Between 8 a.

Writing Neutralization Reactions, Part 1

Show your reasoning. Expand Image. A piece of paper has area How many times does it need to be folded in half before the area is less than 1 square inch? Explain how you know. The area covered by an invasive tropical plant triples every year.

By what factor does the area covered by the plant increase every month? Lesson 5 Changes Over Rational Intervals. Problem 1. Find the monthly revenue 1 month after the online store opened. Record the value in the table.

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Explain your reasoning. Problem 2. Select all statements that are true about the bacteria population. A: When the bacteria population reaches12 hours have passed since the colony was placed on the petri dish. B: Three hours after the colony is placed on the petri dish, there are bacteria. C: Three hours after the colony is placed on the petri dish, there are about bacteria in the colony.Expand Image.

Decompose the rectangle along the diagonal, and recompose the two pieces to make a different shape. How does the area of this new shape compare to the area of the original rectangle? Explain how you know. Priya decomposed a square into 16 smaller, equal-size squares and then cut out 4 of the small squares and attached them around the outside of original square to make a new figure. The first is a square comprised of 16 small squares arranged in four rows of 4.

The second image is a copy of the first image, but it has the center four squares removed and a square added to the outside of each side of the square. The area of the square is 1 square unit. Select all that apply. Figure A is composed of three small triangles, figure B is composed of three small triangles in a different arrangement, figure C is composed of one medium triangle and one small triangle, and figure D is composed of two small triangles and one square.

The area of a rectangular playground is 78 square meters.

lesson 2 practice problems unit 4

If the length of the playground is 13 meters, what is its width? The sides on top measure 10 units, 35 units, and 15 units. Two of the three sides on the left measure 10 units. One of the two sides on the right measures 10 units. One of the two sides on the bottom measure 15 units. The total width of the figure is 60 units, and the total height is 30 units.

All angles are right angles. Professional Learning Contact Us. Lesson Practice. Problem 1. The diagonal of a rectangle is shown.In this lesson students will review how to write formulas for ionic compounds and how to balance chemical equations. These topics are essential to the new material in this lesson, which is learning how to write balanced chemical equations for neutralization reactions.

This lesson aligns to the NGSS Practices of the Scientist of Developing and Using Models because the balanced chemical reaction is a written depiction of a chemical reaction. The process of using the equations to show what is happening in the test tube introduces a level of complexity beyond what students would observe from seeing color changes or even pH changes.

It aligns to the NGSS Crosscutting Concept of Cause and Effect in the sense that balanced chemical equations for neutralization reactions are best understood by examining the smaller scale mechanisms within the system—in this case the formation of a salt and water. In terms of prior knowledge or skills, students have seen in a previous lesson that mixing an acid and a base together produces a chemical reaction.

They have also learned about differences between acids and bases in this lesson and in this lesson. I reason that this is a good way to begin class because it introduces students to the material for today. The textbook is set up so that every student can extract this information, even if they do not completely understand it. By getting this early exposure, students will have begun thinking about neutralization reactions before I give my lesson on the subject; it is my hope that they will have a little momentum going into the lesson.

After I take attendance I walk around the room to see how students are doing, and they confirm my expectations. Activator : After students have had a chance to do this assignment, I ask a student to show their answers to the class. The salt is the NaCl.

Mini-lesson : My first challenge is to help students remember how to write salts. I ask them to look at pages in their textbook. The first thing I ask them to look at is the idea of balancing the charge, as shown in the middle of page The total positive charge has to be equal and opposite to the total negative charge.

I point out that the way to achieve this balancing of charge is to add subscripts. I then remind students that individual atoms can have a charge, and I remind them that the different groups on the periodic table provide us with a hint about what the charge is. I then point out that page shows how to deal with polyatomic ions.

I note that these are groups of atoms that have a charge when they are bonded together, and that there is a list on page They do not have to memorize the list, but they do need to know how to use the list to find the charge of polyatomic ions. This instructional choice reflects my desire to slowly and methodically build up to the skill of writing neutralization reactions. Being able to write the chemical formulas for salts seems like a good first step.

Guided Practice : I ask students to write the salts for problems from the Ionic Bonding Practice problems. I then show the class the answers using the Ionic Bonding Practice answer key.

lesson 2 practice problems unit 4

Most students met with success on this task, and so I release them to finish these practice problems. While they are working I walk around and answer students' questions, help them stay on task, and look for common mistakes. I want students doing this work so that they have a chance to practice the skill that they have just learned.

Catch and Release Opportunities: The one common mistake I see from walking around is that students have forgotten how to use the periodic table to determine the charge of a monatomic ion.The goal is to recall some features of exponential change, such as:. In addition, students briefly explore the meaning of an exponential function at a non-whole number input and how they could determine the value of the function for that input. In future lessons, students will focus on making sense of the meaning of rational inputs in other contexts before using the principle that exponential functions change by equal amounts over equal intervals to calculate things like growth factors over different intervals of time.

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Students may represent exponential changes in different ways. They reason abstractly and quantitatively by using descriptions to write expressions, create a table, or make a graph in order to answer questions about a situation MP2.

They may also use expressions to capture regularity in repeated reasoning MP8. This work will support students throughout the unit, as they deepen their knowledge of exponential functions and extend it to include any type of rational input, with an emphasis on non-whole number input, later in the unit.

We recommend making technology available MP5. In particular, provide students access to calculators that can process exponential expressions for all lessons in this unit. Lesson 1 Growing and Shrinking. Lesson Narrative. The goal is to recall some features of exponential change, such as: Exponential change involves repeatedly multiplying a quantity by the same factor, rather than adding the same amount.

Exponential growth happens when the factor is greater than 1, and exponential decay happens when the factor is less than 1. A quantity that grows exponentially may appear to increase slowly at first but then increases very rapidly later. Learning Goals Teacher Facing. Compare and contrast orally exponential growth and decay. Student Facing. Required Materials. Required Preparation. Learning Targets. I understand how to calculate values that are changing exponentially.

CCSS Standards.

Unit 4: Practice Problem Sets

Print Formatted Materials.Give two examples of dimensions for rectangles that could be scaled versions of this rectangle. One rectangle measures 2 units by 7 units. A second rectangle measures 11 units by 37 units. Are these two figures scaled versions of each other? If so, find the scale factor. If not, briefly explain why. Ants have 6 legs. Do you agree with either of the equations?

Explain your reasoning.

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The height of the model train is millimeters. What is the actual height of the train in meters? The state of Wyoming has old railroad tracks that are 4. Can the modern train travel on those tracks? Which meat is the least expensive per pound? Which meat is the most expensive per pound?

Explain how you know. Jada has a scale map of Kansas that fits on a page in her book. The page is 5 inches by 8 inches. Kansas is about miles by miles. Select all scales that could be a scale of the map. There are 2.

Unit 2: Practice Problem Sets

At that rate, in how many days will the ant farm consume 3 apples? How much green paint should be mixed with 4 cups of black paint to make jasper green? What is the area of this circle? Suppose Quadrilaterals A and B are both squares. Are A and B necessarily scale copies of one another? Elena walked 12 miles. How far did she walk all together? Select all that apply. Jada is making circular birthday invitations for her friends. The diameter of the circle is 12 cm. She bought cm of ribbon to glue around the edge of each invitation.

How many invitations can she make? At the beginning of the month, there were 80 ounces of peanut butter in the pantry. Since then, the family ate 0. How many ounces of peanut butter are in the pantry now? A person's resting heart rate is typically between 60 and beats per minute.

Noah looks at his watch, and counts 8 heartbeats in 10 seconds. Then determine the percent increase or decrease.Find the measures of the following angles.

Grade 6 Unit 4, Lesson 1 Practice Problem Review

Explain your reasoning. Measure the longest side of each of the three triangles. What do you notice?

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Clare says the two triangles are congruent, because their angle measures are the same. Do you agree? Explain how you know. Describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q. What are the measures of the other two angles?

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Each diagram has a pair of figures, one larger than the other. For each pair, show that the two figures are similar by identifying a sequence of translations, rotations, reflections, and dilations that takes the smaller figure to the larger one. For each pair, describe a point and a scale factor to use for a dilation moving the larger triangle to the smaller one. Use a measurement tool to find the scale factor.

Explain why they are similar. Draw two polygons that are not similar but could be mistaken for being similar. Explain why they are not similar. These two triangles are similar. Note: the two figures are not drawn to scale.

In each pair, some of the angles of two triangles in degrees are given. Use the information to decide if the triangles are similar or not.

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