CK-12 Foundation
Sequence of Partial Sums: Partial Sums
Have some fun building squares out of triangles. Pupils investigate the partial sums of odd numbers. Using the sum of the first four odd numbers, learners see that it can be rewritten as a sum containing a triangular number. Simplifying...
Curated OER
Exponents III- Squares and Square Roots
Students explore the process of inverse operations to solve square root problems. After exploring the perfect squares and area, students examine methods to find square roots by observing the teacher, taking notes, and listing vocabulary...
Curated OER
Square Root
In this square roots worksheet, 9th graders solve 10 different equations that include square roots. First, they identify and define that the square root of a number is the inverse operation of squaring that number. Then, students write...
Charleston School District
Evaluation of Roots
You mean the square root of five and five don't have the same value? Learners estimate the value of irrational roots. As they practice estimating the value, they increase their understanding of roots. The lesson is the fourth in a series...
Curated OER
Factoring Binomials - Difference of Squares
In this factoring binomials worksheet, students examine problems containing the difference of squares. They factor binomial equations. This one-page worksheet contains 15 problems. Answers are provided.
Curated OER
Squares, Square Roots, and Exponential Expressions
Students explore the concepts of square roots and exponential expressions. In this square root and exponential expression lesson, students complete an investigation called Building A Square Patio. Students use color tiles to develop the...
West Contra Costa Unified School District
Solving Quadratic Equations – Alternative Methods
There's more than one way to solve quadratic equations. Scholars learn how to solve quadratic equations using alternate methods. They use completing the square by making the linear coefficient even and the leading coefficient a perfect...
Charleston School District
Solving Exponent Equations
Show your class that not all equations are linear. The lesson asks learners to solve simple quadratic and cubic equations using square and cube roots. Problems include equations with no solutions.
Curated OER
Sorting 2-Dimensional Shapes
Explore shape attributes with young geometers as they sort nine shapes based on their corners. Scholars determine whether or not each shape has a square corner, drawing it in the appropriate space accordingly. They are encouraged to use...
Curated OER
The Three Special Binomial Products
For this special binomial products worksheet students FOIL 29 special binomials. Students FOIL perfect square trinomials and difference of squares.
Curated OER
Factoring Special Cases
In this factoring worksheet, students factor twenty-two factoring problems. Students factor perfect square trinomials and the difference of squares.
Curated OER
Operations with Radicals
In this operations with radicals instructional activity, 9th graders solve 10 different equations that include various radicals. First, they perform the indicated operations in each problem. Then, students simplify their answers, some...
EngageNY
Comparing Irrational Numbers
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...
Illustrative Mathematics
All vs. Only Some
All shapes have certain defining attributes that set them apart from others. In order to understand this, young mathematicians look at examples and non-examples of triangles, rectangles, and squares, working as a whole class to create...
Illustrative Mathematics
Grandfather Tang's Story
It's amazing the complex figures that can be made using only a few simple shapes. Following a class reading of the children's book Grandfather Tang's Story by Ann Tompert, young mathematicians use sets of tangrams to create models of the...
CK-12 Foundation
Least-Squares Regression
Residual plots let you find the perfect line of best fit. As users adjust the points on a scatter plot and a possible line of best fit, the interactive automatically changes the residual plot. This change allows them to see connections...
Curated OER
Quiz: Squares and Square Roots
In this squares and square root worksheet, students find the squares of ten perfect square numbers. The first five answers are written with an exponent of 2. The final five answers are to be written as a square root.
Curated OER
Square Roots Worksheet 5
In this square root practice worksheet, students sharpen their math skills as they solve 15 problems that require them to identify square roots.
California Education Partners
Four Square Wars
Obviously, four is the perfect number when you're playing Four Square. Scholars first use multiplication and division to solve a set of problems on the number of balls needed, the number of games, and the number of players required for a...
Curated OER
Easy Worksheet: Simplifying Radicals
In this simplifying radicals worksheet, high schoolers solve 18 short answer problems. Students simplify radicals of non-perfect square numbers. High schoolers find the square and cube roots of positive rational numbers.
Curated OER
Square Roots Worksheet With Addition and Subtraction
In this square roots practice worksheet, students use their problem solving skills to solve 12 problems that require them to find square roots and add or subtract them.
Curated OER
Multiplication Facts up to 10 X 10
Here is a presentation that's chock full of great tips on how to memorize multiplication facts, and how to calculate the area of shapes that aren't perfect squares or rectangles. Many good problems are in each of the slides. A great...
Curated OER
Radicals
In this radicals learning exercise, 9th graders identify and solve 21 different problems that include various simple radical forms. First, they determine if there is a radical in the denominator. Then, students rationalize the...
Curated OER
Factoring Trinomials
In this online math learning exercise, students factor a series of trinomials given specific equations. This excellent resource allows the students to check their answers and to get "hints" should they run into difficulties.
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