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Illustrative Mathematics
Illustrative Mathematics: G Mg Ice Cream Cone
You have been hired by the owner of a local ice cream parlor to assist in his company's new venture. The company will soon sell its ice cream cones in the freezer section of local grocery stores. The manufacturing process requires that...
Illustrative Mathematics
Illustrative Mathematics: 5.md Box of Clay
This task provides an opportunity to compare the relative volumes of boxes in order to calculate the mass of clay required to fill them. Aligns with 5.MD.C.
Illustrative Mathematics
Illustrative Mathematics: A Sse Animal Populations
In this task, students have to interpret expressions involving two variables in the context of a real-world problem about animal populations. Aligns with A-SSE.A.1, A-SSE.A.1.a, and A-SSE.A.2.
Khan Academy
Khan Academy: Ordering Rational Numbers
Practice putting positive and negative fractions and decimals in order. For example, -12/4, -2.5, and 3.25. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Compare and Order Absolute Values
Write an inequality to compare absolute values. Order numbers written in absolute value form from least to greatest. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Comparing Temperatures
This task has students do computations with positive and negative numbers in the context of temperature. Aligns with 6.NS.C.7.b.
Illustrative Mathematics
Illustrative Mathematics: N rn.a.2: Kepler's Third Law of Motion
The purpose of this task is to solve some expressions requiring fractional exponents in the modeling context of planetary motion. Aligns with N-RN.A.2.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Interpreting a Division Computation
Sixth graders are shown the arithmetic for a multi-digit division problem and are asked to use it to find the products of related multiplication questions. Aligns with 6.NS.B.2.
Illustrative Mathematics
Illustrative Mathematics: Words to Expressions 1
This problem allows young scholars to see words that can describe the expression from part (c) of "5.OA Watch out for Parentheses." Additionally, the words (add, sum) and (product, multiply) are all strategically used so that the student...
Illustrative Mathematics
Illustrative Mathematics: Watch Out for Parentheses 1
This problem asks the student to evaluate six numerical expressions that contain the same integers and operations yet have different results due to the placement of parentheses. It helps learners see the purpose of using parentheses....
Illustrative Mathematics
Illustrative Mathematics: N q.a.3, N q.a.1, N q.a.2: Weed Killer
The principal purpose of the task is to explore a real-world application problem with algebra, working with units and maintaining reasonable levels of accuracy throughout. Aligns with N-Q.A.3, N-Q.A.1, and N-Q.A.2.
Illustrative Mathematics
Illustrative Mathematics: N rn.a.2: Checking a Calculation of a Decimal Exponent
The purpose of the task is to connect properties of fractional exponents with ordering of real numbers. Aligns with N-RN.A.2.
Illustrative Mathematics
Illustrative Mathematics: N Rn: Operations With Rational and Irrational Numbers
Experiment with sums and products of rational and irrational numbers. Aligns with N-RN.B.3.
Illustrative Mathematics
Illustrative Mathematics: N rn.a.1: Evaluating a Special Exponential Expression
The purpose of this task is to study the rules of exponents in the context of trying to make sense of a challenging mathematical expression. Teachers will critically analyze each student's argument. Aligns with N-RN.A.1.
Illustrative Mathematics
Illustrative Mathematics: F Le, a Rei Population and Food Supply
In this task, students analyze the sizes of a country's population and of its food supply to determine when and if food shortages will occur. To solve it, they must construct and compare linear and exponential functions and find where...
Illustrative Mathematics
Illustrative Mathematics: F Le Taxi!
In this task, students explore the linear relationship between distance traveled and taxi fare cost. Aligns with A-REI.D.10 and F-LE.B.5.
Illustrative Mathematics
Illustrative Mathematics: Building Toward Fluency
The purpose of this task is to promote certain addition strategies that will help learners learn to fluently add and subtract within 20. Students will use a number line or magnetic cubes to solve addition problems. Learners will be asked...
Illustrative Mathematics
Illustrative Mathematics: N cn.a.2, N cn.b.5, and N cn.c.8 Complex Cube Roots
This task has students further their understanding of the algebra of the complex numbers. Aligns with N-CN.A.2, N-CN.B.5,a nd N-CN.C.8.
Illustrative Mathematics
Illustrative Mathematics: N q.a.1, a ced.a.1, and N q.a.2: Harvesting the Fields
This task is about farm-workers who are harvesting two fields. Students are presented with a scenario involving two teams of workers, two different sizes of fields, and work spread out over two days. They must calculate how many...
Illustrative Mathematics
Illustrative Mathematics: A Rei Reasoning With Linear Inequalities
Students are presented with a solution to an inequality and are asked to find two mathematical errors and explain why they are incorrect. Aligns with A-REI.B.3 and A-REI.A.1.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Multiplication, Division and Place Value, Part 1
Sixth graders are presented with a completed multiplication equation and are asked to use it to find the answers to seven other equations. To do this, they must use their reasoning and estimation skills. Aligns with 6.NS.B.3.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Movie Tickets
In this task, 6th graders are asked to compare the buying power of $20 in 1987 and 2012 with respect to the cost of movie tickets. Aligns with 6.NS.B.3.
Illustrative Mathematics
Illustrative Mathematics: A Sse Radius of a Cylinder
Given the height and volume of a certain cylinder, Jill uses the volume formula to compute its radius. If a second cylinder has the same volume as the first, but is 100 times taller, what is its radius? Aligns with A-SSE.A.1.
Illustrative Mathematics
Illustrative Mathematics: A Sse the Physics Professor
In this task, students are asked to study the structure of an algebraic expression, draw conclusions, and explain their thinking. Aligns with A-SSE.A.1 and A-SSE.A.1.b.