Better Lesson
Better Lesson: Criteria for Success: Story Problem
Students learn the basics of "Modeling with Mathematics" (CCSS.MP.4) as they practice putting their thinking on paper in this beginning of year lesson. This lesson includes a video tutorial, differentiated worksheets based on skill...
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...
CPALMS
Cpalms: Why Are Circles Similar?
[Free Registration/Login Required] A comprehensive lesson plan for teaching how to prove that all circles are similar by using three types of transformations.
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.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, young scholars 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...
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: 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: 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.
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes and Factorization of Quadratic Polynomial
This is the first of a series of problems building to an understanding of an important property of polynomial functions, that a polynomial of degree d can have at most d roots. Aligns with A-APR.B.2.
Illustrative Mathematics
Illustrative Mathematics: A Rei Two Squares Are Equal
This task asks students to solve a quadratic equation in as many different ways as they can. Aligns with A-REI.B.4 and A-REI.D.11.
Illustrative Mathematics
Illustrative Mathematics: A Sse Seeing Dots
The purpose of this task is to identify the structure in the two algebraic expressions by interpreting them in terms of a geometric context, a series of squares filled with dot arrangements. Students are asked to notice a pattern and...
Illustrative Mathematics
Illustrative Mathematics: A Sse Sum of Even and Odd
In this task, young scholars use the structure of an expression to find ways to rewrite it. They are asked to use the defining property of even and odd functions to manipulate expressions involving function notation and to see the...
Illustrative Mathematics
Illustrative Mathematics: A Rei Pythagorean Triples
This task has two separate goals: the first is to solve a pair of equations, one quadratic and the other linear. The second goal is to observe that a point that lies on a circle gives rise to a Pythagorean triple. Aligns with A-REI.C.7.
Illustrative Mathematics
Illustrative Mathematics: 1.oa Valid Equalities?
This lesson plans allows students to explore the meaning of the equal sign in addition and subtraction problems.
Illustrative Mathematics
Illustrative Mathematics: G Mg How Many Cells Are in the Human Body?
About how many cells are in the human body? The purpose of this task is for students to apply the concepts of mass, volume, and density in a real-world context. Aligns with G-MG.A.2.
Illustrative Mathematics
Illustrative Mathematics: G Co Origami Regular Octagon
After successive folds of a piece of origami paper, a student must explain why the shape made is a regular octagon. Aligns with G-CO.A.3 and G-CO.D.12.
Illustrative Mathematics
Illustrative Mathematics: G Co Seven Circles Ii
In this task, seven pennies are placed in a circle so that they are all touching one in the center and their neighbors. Students are asked to find as many rigid motions of the plane as they can which are symmetries of this configuration...
Illustrative Mathematics
Illustrative Mathematics: G Co, G Srt Seven Circles I
In this task, seven pennies are placed in a circle so that they are all touching one in the center and their neighbors. The question is whether this will work with other equally-sized circles. Aligns with G-SRT.C and G-CO.C.10.
Illustrative Mathematics
Illustrative Mathematics: G Co Properties of Congruent Triangles
The goal of this task is to understand how congruence of triangles, defined in terms of rigid motions, relates to the corresponding sides and angles of triangles. Aligns with G-CO.B.7.
Illustrative Mathematics
Illustrative Mathematics: G Co Angle Bisection and Midpoints of Line Segments
This task provides a construction of the angle bisector of an angle by reducing it to the bisection of an angle to finding the midpoint of a line segment. Aligns with G-CO.D.12.
Illustrative Mathematics
Illustrative Mathematics: G Co Construction of Perpendicular Bisector
A and B are two distinct points in the plane and line AB is the segment joining them. The goal of this problem is to construct the perpendicular bisector of segment AB. Aligns with G-CO.D.12.
Illustrative Mathematics
Illustrative Mathematics: G Co Are the Triangles Congruent?
In each of the following diagrams, two triangles are shaded. Based on the information given about each diagram, decide whether there is enough information to prove that the two triangles are congruent. Aligns with G-CO.B.
Illustrative Mathematics
Illustrative Mathematics: G Co Dilations and Distances
The goal of this task is to study the impact of dilations on distances between points. Aligns with G-CO.A.2.
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