Workbook
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University of Utah

Rational and Irrational Numbers

For Students 8th Standards
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
Lesson Plan
EngageNY

Existence and Uniqueness of Square Roots and Cube Roots

For Students 8th Standards
Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...
Lesson Plan
EngageNY

Comparing Irrational Numbers

For Students 8th Standards
Build on your classes' understanding of irrational numbers by comparing their values. The 13th lesson in the 25-part module has individuals estimate values of both perfect and non-perfect roots. They finish by graphing these numbers on a...
Lesson Plan
EngageNY

Rational Exponents—What are 2^1/2 and 2^1/3?

For Teachers 9th - 12th Standards
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
Lesson Plan
Curated OER

Comparing and Ordering Fractions, Mixed Numbers, and Decimals

For Teachers 4th - 5th
Create your own fraction kits by folding and labeling paper using fraction vocabulary. Learners then work in groups to use these in comparing and sequencing both whole numbers and fractions. They also create unit cubes and develop an...
Lesson Plan
Curated OER

Paper Folding to Make Cubes

For Teachers 3rd - 5th
Examine patterns of figures composed of six-squares and predict which of the twenty presented could be folded to make a cube. They then fold large-scale patterns of these figures to confirm their hunches.
Lesson Plan
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Curated OER

Rational Exponents

For Teachers 9th - 12th Standards
Investigate rational exponents in this math activity. Scholars make conjectures about the relationship between rational exponents and radicals. They then use their Ti-Nspire to simplify rational exponents.
Lesson Plan
2
2
EngageNY

Mastering Factoring

For Students 10th - 12th Standards
Math class is full of drama—there are so many problems to work out! Pupils work out factoring problems. They use quadratic methods of factoring higher degree polynomials, in addition to factoring the sum and difference of two...
Lesson Plan
Curated OER

Introducing Powers and Models

For Teachers 4th - 6th
Students construct two dimensional models to illustrate squared numbers. In this geometry lesson, students use graph paper and an x/y axis to build squares exponentially. Students identify powers and relationships between various figures...
Lesson Plan
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EngageNY

Properties of Exponents and Radicals

For Teachers 9th - 12th Standards
(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in...
Lesson Plan
Curated OER

Plane and Solid Figures

For Teachers 9th - 11th
Students define a plane and a solid shape. In this geometry lesson plan, students compare and contrast different geometric shapes as they relate to solids. They name the geometric solids based on their sides and edges.
Activity
Illustrative Mathematics

Box of Clay

For Teachers 5th - 7th Standards
What happens to a volume when you scale the dimensions of a rectangular prism? In this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of...
Lesson Plan
Curated OER

Arithmetic Complex Numbers

For Teachers 10th - 11th
Pupils convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Lesson Plan
Curated OER

Cube Models

For Teachers 6th
Sixth graders are introduced to the concepts of area and volume. In groups, they work together to build models of square centimeters in which they are given no instructions. To end the lesson, they record the dimensions of each model...
Lesson Plan
Virginia Department of Education

Factoring

For Students 9th - 12th Standards
Uncover the relationship between factoring quadratics and higher degree polynomials. Learners develop their factoring skills through repetition. A comprehensive lesson begins with quadratics and shows how to use the same patterns to...
Lesson Plan
Curated OER

Area & Perimeter

For Teachers 4th - 6th
Students define area and perimeter. They demonstrate understanding of the concepts concretely, with manipulatives, and describe with words, their strategies and thought processes.
Lesson Plan
Curated OER

Strong Arm Iteration

For Teachers 7th - 9th
Students solve exponential functions and inequalities. In this algebra lesson, students find the roots of equations and use it to graph and evaluate exponential functions. They simplify exponents using the law of exponents.
Lesson Plan
Curated OER

Grid it, Map it

For Teachers 4th - 8th
Students participate in designing a city layout using grids and coordinates. They work on a city space and create a grid on a life size layout on the gym floor.
Lesson Plan
Curated OER

Investigating the Behavior of Lumbriculus

For Teachers 4th - 8th
Students perform a classroom experiment on the organisms of worms. They view the behaviors of the worms and analyze their results. This lesson introduces students to the techniques involved in behavioral studies.
Lesson Plan
Curated OER

Float My Boat

For Teachers 4th
Fourth graders, in groups, experiment with density and the displacement of water by creating and designing their own boats and seeing which boat holds the most centimeter cubes without sinking..
Lesson Plan
Curated OER

Simple Sequence

For Teachers 8th - 11th
Pupils identify the nth term in a sequence. In this algebra lesson, students generate sequences given the formula for each sequence. They find the formula given the sequence.