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Illustrative Mathematics

Rational or Irrational?

For Teachers 9th - 12th Standards
Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this worksheet to push them a little further in their understanding. Learners must identify sums and...
Worksheet
Curated OER

Expressions and Operations

For Students 8th - 12th
In this expressions and operations worksheet, students solve 5 multiple choice problems involving quadratic equations. Students answer 1 world problem and solve 4 quadratic equations.
Worksheet
Curated OER

Complex Fractions

For Students 9th
In this complex fractions worksheet, 9th graders solve 10 different problems that include simplifying various complex fractions. First, they create one single fraction in the numerator and then in the denominator. Then, students rewrite...
Worksheet
Curated OER

8th Grade Mathematics Booklet

For Students 8th
In this 8th grade mathematics compilation worksheet, 8th graders solve 40 various types of problems for 8th grade. They determine the measurement of various triangles. Students also write the expanded form of an expression. In addition,...
Worksheet
Curated OER

Quaternions

For Students 11th - 12th
In this quaternions learning exercise, students solve and complete 7 different problems. First, they read and identify quaternions as expressions in a given form of ordinary real numbers. Then, students add and subtract a few problems by...
Worksheet
Curated OER

Inverse Functions and Relations

For Students 11th
In this inverse functions and relations learning exercise, 11th graders solve and complete 12 different problems. First, they find the inverse of each relation and determine whether the inverse is a function. Then, students find the...
Worksheet
Curated OER

Simplifying Expressions

For Students 11th
In this simplifying expressions activity, 11th graders solve and complete 44 various types of problems. First, they solve for the given variable in each equation. Then, students simplify each expression and factor completely. They also...
Worksheet
Curated OER

Multiplying Radical Expressions

For Students 10th - 11th
In this radical expressions worksheet, students multiply given radical expressions containing variables and exponents. This four-page worksheet contains 28 problems. Answers are provided on the last page.
Worksheet
Curated OER

Dividing Radical Expressions

For Students 9th - 11th
In this dividing radical expressions worksheet, students simplify given radical expressions. This four-page worksheet contains 22 problems. Answers are provided on the last page.
Worksheet
Curated OER

Expand Using Laws of Logarithms

For Students 9th - 11th
In this logarithm instructional activity, students expand given logarithms containing fractions, exponents, and multiplication problems.  This two-page instructional activity contains 8 multi-step problems.  Answers are...
Worksheet
Curated OER

Section 12-5: Addition and Subtraction of Radicals

For Students 9th - 11th
In this radical worksheet, students find the sum and difference of given radicals.  They simplify radical expressions.  This two-page worksheet contains 10 multiple-choice problems.  Answers are provided on the last page.
Lesson Plan
Curated OER

Math B Regents Questions by Performance Indicator: Logarithms

For Teachers 10th - 12th
In this logarithms worksheet, students solve logarithm equations.  They read story problems and find equivalent expressions to given logarithms.  This three-page worksheet contains 13 problems.  Answers are provided on the...
Worksheet
Curated OER

Rational and Irrational Numbers

For Students 8th - 9th
Here is a rational and irrational numbers worksheet in which learners identify 10 different expressions related to various types of numbers. They determine whether each expression given is a rational or irrational number.
Worksheet
Curated OER

Find the Products

For Students 10th
In this algebra worksheet, 10th graders find the products of 4 problems that include a variable and work with square roots. They find an expression for the area of each of 3 geometric shapes.
Worksheet
Curated OER

Misconceptions in Mathematics

For Students 6th
In this misconceptions worksheet, 6th graders solve and complete 3 different steps in a problem. First, they solve by multiplying the fraction of a number to get the percentage. Then, students find the square roots of both sides of a...
Lesson Plan
Curated OER

Addition, Subtraction, and More Multiplication with Radicals: Extra Practice 36

For Teachers 8th - 9th
In this math worksheet, students use the distributive property to complete computation with radicals. Students multiply pairs of binomials that have the square root sign in each pair.
Worksheet
Curated OER

Trigonometric Function

For Students 11th
In this trigonometric functions worksheet, 11th graders solve and complete 6 various types of problems. First, they express each of the expressions in trigonometric form. Then, students use DeMoivre's Theorem to express each of the...
Worksheet
Curated OER

The Two Number Problem

For Students 9th - 12th
In this number problem worksheet, students solve 1 word problem about squaring numbers.  Students find two different numbers that are equal when they are squared.
Worksheet
Curated OER

Squared Riddles

For Students 3rd - 6th
In this squared riddles worksheet, students problem solve four mathematical word problem riddles. Students share their answers with their classmates.
Worksheet
Curated OER

Formulae

For Students 6th - 9th
Learners complete a 24 page unit. They solve expressions by plugging in values, and translate words into algebraic equations. Included are: mixed operations, square roots, exponents and negative numbers. This resource provides a good...
Lesson Plan
Curated OER

Exercise Set 2.7: Functions and Graphs

For Teachers 9th - 12th
In this functions worksheet, students solve 40 short answer problems. Students determine if a graph represents a function. Students find the domain of absolute value and square root functions.
Worksheet
HHS Math

Assignment 1.6: Solving Quadratic Equations

For Students 9th - 11th Standards
Practice solving different types of quadratic equations with these three worksheets. Problems include equations already factored, simple square root problems, and problems requiring different factoring techniques where the highest degree...
Worksheet
Teacher Web

Plant Reproduction—Structure of a Flower

For Students 9th - 12th Standards
What happened to the plant in math class? It grew square roots. Here, a set of 11 worksheets provide a review of plant reproduction. It includes the structure of a flower and each part's function, pollination, fertilization, seed...
Worksheet
Curated OER

Simplifying Radical Expressions

For Students 9th
In this radical expressions worksheet, 9th graders solve and complete 20 different problems that include simplifying various radical expressions. First, they define rationalizing the denominator. Then, students simplify and leave each in...

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