Khan Academy
Khan Academy: Lsn 13: Systems of Equations, Algebraic and Graphical Representations
Lesson 3 of 4 for Passport to Advanced Math. Students will solve systems of equations in two variables in which one equation is linear and the other equation is quadratic or another nonlinear equation; relate properties of the function f...
Illustrative Mathematics
Illustrative Mathematics: A ced.a.1: Sum of Angles in a Polygon
This problem provides students with an opportunity to discover algebraic structure in a geometric context. They will divide up polygons into triangles. The will use the sum of the angles of 180 degrees for each triangle. Aligns with...
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 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: G Mg Toilet Roll
Picture a roll of toilet paper; assume that the paper in the roll is very tightly rolled. Assuming that the paper in the roll is very thin, find a relationship between the thickness of the paper, the inner and outer radii of the roll,...
Illustrative Mathematics
Illustrative Mathematics: G Gpe a Midpoint Miracle
In this task, students are asked to draw a quadrilateral so that no two sides are congruent, no two angles are congruent, and no two sides are parallel. The task gives students the opportunity to prove that if we join the midpoints of a...
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: 6.ee Firefighter Allocation
In this students are asked to write an equation to solve a real-world problem. There are two natural approaches to this task. In the first approach, students have to notice that even though there is one variable, namely the number of...
Illustrative Mathematics
Illustrative Mathematics: A rei.b.4.a: Visualizing Completion of the Square
The purpose of this visualization task is to help provide geometric intuition for the algebraic process called ''completing the square.'' Aligns with HSA-REI.B.4.a.
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.
Better Lesson
Better Lesson: Let's Review
Revisit, Revisit, Revisit! Students need repeated exposure to math concepts to really understand how they work.
Illustrative Mathematics
Illustrative Mathematics: 7.ns, 7.ee Bookstore Account
In this lesson, 7th graders add and subtract rational numbers to solve word problems.
Illustrative Mathematics
Illustrative Mathematics: 7.ns Rounding and Subtracting
This lesson plan has students subtract and round rational numbers.
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