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Mars: Mathematics Assessment Project
The Mathematics Assessment Project aims to bring the Common Core State Standards (CCSSM) to life in a way that will help teachers and their students turn their aspirations for achieving them into classroom realities. The project's free...
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Resources for Implementation
This website provides information about and tools and resources to support the Common Core State Standards for Mathematics (CCSSM).
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Milwaukee Public Schools: Standard k.cc.4.c: Intervention Activity: Add One
Observe students while they complete the following sheet to see how they discuss and match the numbers with the visual representation. Included is a score sheet to record data.
Illustrative Mathematics
Illustrative Mathematics: A rei.c.6: Accurately Weighing Pennies Ii
This illustrated math instructional activity shows how important levels of accuracy in measurement are. The answer can be different since a scale only accurately weighs to the nearest tenth of a gram instead of to the nearest hundredth...
Illustrative Mathematics
Illustrative Mathematics: G Gpe Explaining the Equation for a Circle
This problem examines equations defining different circles in the x-y plane. Students must use the Pythagorean Theorem to find equations whose solutions are points on the circle and explain why they work. Includes a GeoGebra worksheet...
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 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 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 Mixing Fertilizer
A landscaping company prepares two mixtures of fertilizer. In this task, young scholars investigate what happens to the value of an expression when a quantity is changed. Aligns with A-SSE.A.1 and A-SSE.A.1.b.
Illustrative Mathematics
Illustrative Mathematics: F Tf, G Co, Trigonometric Identities and Rigid Motions
The purpose of this task is to apply translations and reflections to the graphs of the functions f(x)=cos x and g(x)=sin x in order to derive some trigonometric identities. There are also rotations 180 degrees about points on the x-axis...
Illustrative Mathematics
Illustrative Mathematics: A Apr Egyptian Fractions Ii
In this task, students will rewrite fractions as a sum of distinct unit fractions. To solve the problem, students will rewrite a simple rational expression and will need to study the arithmetic of these unit fractions with a variable in...
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes and Factorization of a General Polynomial
In this task, young scholars investigate the properties of a polynomial of degree d > 0. The task relates to the Fundamental Theorem of Algebra. Aligns with A-APR.B.2.
Illustrative Mathematics
Illustrative Mathematics: A Apr Trina's Triangles
In this task, students investigate polynomial identities in order to generate Pythagorean triples. Aligns with A-APR.C.4.
Illustrative Mathematics
Illustrative Mathematics: A Sse Delivery Trucks
This task asks students to analyze four expressions to determine what each represents in terms of the problem's context, which is about two trucks delivering different amounts of sand in different numbers of trips. Aligns with A-SSE.A.1...
Illustrative Mathematics
Illustrative Mathematics: A Sse the Bank Account
For this task, learners are asked to interpret equations representing a bank account's balance where the interest is compounded monthly versus yearly. Aligns with A-SSE.A.1 and A-SSE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: A Sse Mixing Candies
This task about a box of chocolates has students use the given equations to answer questions about weight and price, as well as interpret the expressions in the equations. Aligns with A-SSE.A.1 and A-SSE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: 1.g All vs. Only Some
In this lesson, young scholars come up with statements that is true about all of the triangles that they see but not true of all triangles in general, then the teacher should ask students if they can imagine a triangle without that...
Illustrative Mathematics
Illustrative Mathematics: Which Is Heavier?
Learners will learn the concept of weight by practicing weighing items on a balance scale and recording their results. Students can record their answers on the black line masters included in the Illustrated Mathematics lesson "How Heavy?".
Illustrative Mathematics
Illustrative Mathematics: Comparing Numbers
This task is a fun partner game in which learners practice making two-digit numbers, decide which is greater, and write the appropriate comparison symbolically.
Illustrative Mathematics
Illustrative Mathematics: G C, G Co Tangent Lines and the Radius of a Circle
For this task, learners are shown a circle with center O and point P on the circle. L is a line that is a tangent to the circle at P. They must show that line OP is perpendicular to line L. Aligns with G-C.A.2, G-CO.A, and G-CO.C.9.
Illustrative Mathematics
Illustrative Mathematics: G Co Inscribing an Equilateral Triangle in a Circle
Suppose we are given a circle of radius r. The goal of this task is to construct an equilateral triangle whose three vertices lie on the circle. Aligns with G-CO.D.13.
Illustrative Mathematics
Illustrative Mathematics: G Co Inscribing a Hexagon in a Circle
In this task, learners inscribe a regular hexagon inside a circle and compare its area to that of the circle. Aligns with G-CO.D.13.
Illustrative Mathematics
Illustrative Mathematics: G Co Midpoints of the Sides of a Paralellogram
Suppose that ABCD is a parallelogram and that M and N are the midpoints of lines AB and CD respectively. Young scholars are asked to prove that MN=AD, and that the line MN is parallel to line AD. Aligns with G-CO.C.11.
Illustrative Mathematics
Illustrative Mathematics: G Co Showing a Triangle Congruence: A Particular Case
Given two congruent triangles, students are asked to analyze the effects of different transformations. Aligns with G-CO.A.5.