probability performance task 7th grade

Grade 7 Performance Tasks

Students will be asked to solve some constructed response questions involving proportional relationships. Students will also fill in a table and graph the values from the table. Finally, students will apply their proportional reasoning to a real-world situation.

Source: CORE, California Education Partners (CAED)

Students will write algebraic expressions, write and solve equations, and explain the steps they took to solve an equation. Students will interpret the meaning of a variable in the context of a given real-life scenario and will write a real-life scenario given an equation.

Students will be asked to solve some constructed response questions involving area of 2-dimensional figures. Additionally, students will solve for surface area and volume of 3-dimensional figures. The performance task requires students to design a cereal box that is cost efficient and space saving.

Students will calculate unit rates to determine the better deal and least expensive purchase. Students will use proportional relationships to solve a real-world problem and write a note to a student analyzing their attempt to solve a real-world problem.

Students will be asked to solve constructed response questions examining the aspect ratio of various sizes of photographs compared to an 8 in.-by-12 in. photo paper. Students will analyze whether the ratio of the width to the height of a photograph is proportional to that of the paper, represent proportional relationships on a graph and/or by equations, and draw conclusions when the ratio is maintained and when it is not. Additionally, they will develop logical arguments about photographs and cite evidence to support their reasoning.

Students will be asked to solve constructed response questions examining two different price structures for T-shirts, evaluating expressions and writing equations for each. Students will analyze the price structures, draw conclusions, write a note to a student about what option to choose, develop logical arguments, and cite evidence to support their reasoning.

Students will be asked to use ratios, proportions, and percentages to solve problems regarding boxes of cereal. Students will analyze information about the cereal, support their reasoning, and determine missing information about the cereal’s nutritional facts.

Source: Mathematics Assessment Resource Service (MARS)

Students will use knowledge of part/whole relationships and operations with fractions to find the total objects in a set. Additionally, students will use probabilities and likelihoods to find and organize all the possible events for a situation. Finally, students will make predictions about events and develop logical arguments about how best to play a game.

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7.rp. grade 7 - ratios and proportional relationships, 7.rp.a. analyze proportional relationships and use them to solve real-world and mathematical problems..

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7.RP.A.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks $1/2$ mile in each $1/4$ hour, compute the unit rate as the complex fraction $\frac{1/2}{1/4}$ miles per hour, equivalently $2$ miles per hour.

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7.RP.A.2. Recognize and represent proportional relationships between quantities.

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7.RP.A.2.a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

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7.RP.A.2.b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

7.rp.a.2.c. represent proportional relationships by equations. for example, if total cost $t$ is proportional to the number $n$ of items purchased at a constant price $p$, the relationship between the total cost and the number of items can be expressed as $t = pn$..

• Proportionality

7.RP.A.2.d. Explain what a point $(x, y)$ on the graph of a proportional relationship means in terms of the situation, with special attention to the points $(0, 0)$ and $(1, r)$ where $r$ is the unit rate.

• No tasks yet illustrate this standard.

7.RP.A.3. Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

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7.NS. Grade 7 - The Number System

7.ns.a. apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers., 7.ns.a.1. apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram..

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7.NS.A.1.a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.

7.ns.a.1.b. understand $p + q$ as the number located a distance $|q|$ from $p$, in the positive or negative direction depending on whether $q$ is positive or negative. show that a number and its opposite have a sum of 0 (are additive inverses). interpret sums of rational numbers by describing real-world contexts., 7.ns.a.1.c. understand subtraction of rational numbers as adding the additive inverse, $p - q = p + (-q)$. show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts., 7.ns.a.1.d. apply properties of operations as strategies to add and subtract rational numbers., 7.ns.a.2. apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers..

• Why is a Negative Times a Negative Always Positive?

7.NS.A.2.a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as $(-1)(-1) = 1$ and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

• Distributive Property of Multiplication

7.NS.A.2.b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If $p$ and $q$ are integers, then $-(p/q) = (-p)/q = p/(-q)$. Interpret quotients of rational numbers by describing real-world contexts.

7.ns.a.2.c. apply properties of operations as strategies to multiply and divide rational numbers., 7.ns.a.2.d. convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats..

• Decimal Expansions of Fractions
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7.NS.A.3. Solve real-world and mathematical problems involving the four operations with rational numbers. Computations with rational numbers extend the rules for manipulating fractions to complex fractions.

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7.EE. Grade 7 - Expressions and Equations

7.ee.a. use properties of operations to generate equivalent expressions..

• Equivalent Expressions?
• Miles to Kilometers

7.EE.A.1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

• Writing Expressions

7.EE.A.2. Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, $a + 0.05a = 1.05a$ means that “increase by $5\%$” is the same as “multiply by $1.05$.”

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7.EE.B. Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

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7.EE.B.3. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $\$25$ an hour gets a $10\%$ raise, she will make an additional $\frac{1}{10}$ of her salary an hour, or $\$2.50$, for a new salary of $\$27.50$. If you want to place a towel bar $9 \frac34$ inches long in the center of a door that is $27 \frac12$ inches wide, you will need to place the bar about $9$ inches from each edge; this estimate can be used as a check on the exact computation.

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7.EE.B.4. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

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7.EE.B.4.a. Solve word problems leading to equations of the form $px + q = r$ and $p(x + q) = r$, where $p$, $q$, and $r$ are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is $54$ cm. Its length is $6$ cm. What is its width?

7.ee.b.4.b. solve word problems leading to inequalities of the form $px + q > r$ or $px + q < r$, where $p$, $q$, and $r$ are specific rational numbers. graph the solution set of the inequality and interpret it in the context of the problem. for example: as a salesperson, you are paid \$50 per week plus \$3 per sale. this week you want your pay to be at least \$100. write an inequality for the number of sales you need to make, and describe the solutions..

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7.G. Grade 7 - Geometry

7.g.a. draw, construct, and describe geometrical figures and describe the relationships between them., 7.g.a.1. solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale..

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7.G.A.2. Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

• A task related to standard 7.G.A.2

7.G.A.3. Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

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7.G.B. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

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• The Circumference of a Circle and the Area of the Region it Encloses

7.G.B.4. Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

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7.G.B.5. Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

7.g.b.6. solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms., 7.sp. grade 7 - statistics and probability, 7.sp.a. use random sampling to draw inferences about a population..

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7.SP.A.1. Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

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7.SP.A.2. Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.

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7.SP.B. Draw informal comparative inferences about two populations.

7.sp.b.3. informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. for example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable..

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7.SP.B.4. Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book.

7.sp.c. investigate chance processes and develop, use, and evaluate probability models..

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7.SP.C.5. Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

7.sp.c.6. approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. for example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times..

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7.SP.C.7. Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.

7.sp.c.7.a. develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. for example, if a student is selected at random from a class, find the probability that jane will be selected and the probability that a girl will be selected..

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7.SP.C.7.b. Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end down. Do the outcomes for the spinning penny appear to be equally likely based on the observed frequencies?

7.sp.c.8. find probabilities of compound events using organized lists, tables, tree diagrams, and simulation..

• Red, Green, or Blue?
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7.SP.C.8.a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.

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7.SP.C.8.b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event.

7.sp.c.8.c. design and use a simulation to generate frequencies for compound events. for example, use random digits as a simulation tool to approximate the answer to the question: if 40% of donors have type a blood, what is the probability that it will take at least 4 donors to find one with type a blood.

7th Grade Probability Worksheets

7th grade probability worksheets cover all the topics related to probability, such as mean, median, and mode. They help students explore how they can find the favorable outcomes of an event. Moreover, probability worksheets are great practice material when it comes to predicting the outcomes of various events. Students can explore a variety of probability questions with the help of these worksheets.

Benefits of Grade 7 Probability Worksheets

7th Grade Probability Worksheets comprise a detailed solution set that can help students clarify their doubts. These 7th grade math worksheets can help students understand the real-world applications of probability, hence they are a great tool in the long run. 7th-grade probability worksheets focus on the core concepts, thus strengthening a student’s logical and reasoning skills.

Printable PDFs for Probability Worksheets for Grade 7

In order to practice a variety of questions based on probability, students can download the free versions of these worksheets in PDF formats.

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Free Printable Performance Tasks Worksheets for 7th Grade

Performance Tasks: Discover a collection of free printable Math worksheets for Grade 7 students, created to enhance their learning experience and boost their problem-solving skills. Explore now!

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Explore printable Performance Tasks worksheets for 7th Grade

Performance Tasks worksheets for Grade 7 are an essential tool for teachers to help their students master the challenging world of Math. These worksheets are specifically designed to cater to the learning needs of Grade 7 students, focusing on key mathematical concepts and skills. With a wide range of topics covered, such as algebra, geometry, and number sense, these worksheets provide ample opportunities for students to practice and apply their knowledge. Math Word Problems are an integral part of these worksheets, encouraging students to think critically and develop problem-solving skills. Teachers can easily incorporate these Performance Tasks worksheets into their lesson plans, ensuring that their Grade 7 students are well-prepared for the challenges of higher-level math.

Quizizz is an innovative platform that offers a variety of educational resources, including Performance Tasks worksheets for Grade 7 Math. This platform allows teachers to create engaging quizzes and interactive lessons, making learning fun and effective for their students. With a vast library of Math Word Problems and other content, Quizizz enables teachers to customize their worksheets to suit the needs of their Grade 7 students. The platform also provides valuable insights and analytics, helping teachers track their students' progress and identify areas for improvement. By integrating Quizizz into their teaching strategies, educators can ensure that their Grade 7 students receive a comprehensive and well-rounded math education, setting them up for success in the future.