eBook
CK-12 Foundation

Ck 12: Precalculus Concepts 2.0

For Students 10th - 12th Standards
A complete high school Precalculus Concepts course. Includes 'Related Modalities' for each lesson that teach the same concept in different ways. The text materials follows Algebra II and comes before Calculus or Statistics. The content...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gmd Volume Estimation

For Teachers 9th - 10th Standards
In this task, students are asked to estimate the volume of a non-standard 3D solid by referencing either a cone or a cylinder. Aligns with G-GMD and G-GMD.A.3.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe Explaining the Equation for a Circle

For Teachers 9th - 10th Standards
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...
Handout
AAA Math

Aaa Math: Multiplication of Two and Three Digit Numbers

For Students 3rd - 8th Standards
Explains the traditional way to multiply three-digit by two-digit numbers. Gives practice and games to practice this skill.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N cn.a.2, N cn.b.5, and N cn.c.8 Complex Cube Roots

For Teachers 9th - 10th Standards
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse Radius of a Cylinder

For Teachers 9th - 10th Standards
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse the Physics Professor

For Teachers 9th - 10th Standards
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse Mixing Fertilizer

For Teachers 9th - 10th Standards
A landscaping company prepares two mixtures of fertilizer. In this task, students 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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf, G Co, Trigonometric Identities and Rigid Motions

For Teachers 9th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Egyptian Fractions Ii

For Teachers 9th - 10th Standards
In this task, young scholars 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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Zeroes and Factorization of a General Polynomial

For Teachers 9th - 10th Standards
In this task, students 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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Zeroes and Factorization of Quadratic Polynomial

For Teachers 9th - 10th Standards
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei Two Squares Are Equal

For Teachers 9th - 10th Standards
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.
Unknown Type
Illustrative Mathematics

Illustrative Mathematics: A Sse Delivery Trucks: Assessment Variation

For Teachers 9th - 10th Standards
This is an assessment task that has students look for structure in algebraic expressions related to the context of trucks delivering concrete blocks and asks them to relate that structure to the context. Aligns with A-SSE.A.1 and...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse Delivery Trucks

For Teachers 9th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse the Bank Account

For Teachers 9th - 10th Standards
For this task, students 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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse Mixing Candies

For Teachers 9th - 10th Standards
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse Seeing Dots

For Teachers 9th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse Sum of Even and Odd

For Teachers 9th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 1.oa Valid Equalities?

For Teachers 1st Standards
This lesson plans allows students to explore the meaning of the equal sign in addition and subtraction problems.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Comparing Numbers

For Teachers 1st - 2nd Standards
This task is a fun partner game in which students practice making two-digit numbers, decide which is greater, and write the appropriate comparison symbolically.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Origami Regular Octagon

For Teachers 9th - 10th Standards
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co, G Srt Seven Circles I

For Teachers 9th - 10th Standards
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Properties of Congruent Triangles

For Teachers 9th - 10th Standards
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.

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