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EngageNY
Solving Rational Equations
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
Curated OER
Solutions to Equations with Variables on Both Sides
Pupils solve equations with variables on both sides. For this algebra lesson, students solve equations using addition, subtraction, multiplication and division. They graph their solution on a coordinate plane.
Mathematics Assessment Project
Translating Between Repeating Decimals and Fractions
Model for your young mathematicians the process for converting repeating decimals to fractions. To demonstrate their understanding of the process, class members then complete and assessment task and participate in an activity matching...
Mathematics Vision Project
Module 4: Rational Functions
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
Curated OER
Filling the Glass (Water, Air, and Fractions)
Students predict which of two glasses is 1/2 full using visual estimation, height measurement, and liquid measurement methods. Mathematical equations to accurately solve the problem are determined and verified.
Bowland
Explorers – Patrol Services
Far out — plan a trip to space! Aspiring mathematicians steer a space vehicle through an asteroid field, calculate currency exchanges to buy provisions, and determine placement of charges to blow up asteroids. Along the way, they learn...
Curated OER
Using Algebra to Explore Problem Space
Students apply their knowledge of math by rewriting word problems using equations. In this word problem lesson, students build upon previous knowledge as they set up the correct steps to solve word problems. This lesson is full of hints...
EngageNY
Multiplying and Dividing Rational Expressions
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions.
Curated OER
Literal Equations
Students explore Literal Equations. In this literal equations lesson, students use the Internet to connect to links and solve linear equations. Students investigate, analyze and record their findings on various activity worksheets.
EngageNY
Equivalent Rational Expressions
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
Illustrative Mathematics
How Many Containers in One Cup / Cups in One Container?
The object is to model fraction division by asking “How many are in one group?” It is a difficult concept to understand, but developing the model that shows one cup to a certain amount of container or one container to a certain amount of...
101 Questions
Square Partitions
Challenge your classes while developing their problem-solving skills. A square is divided neatly into four equal triangles by its diagonals until one diagonal is moved from a vertex to the midpoint of one side. Now, scholars must devise...
Curated OER
Checking Equivalence
High schoolers solve equations. In this calculus lesson, students compare equations and identify equivalencies. They compare and approximate fractions and decimals.
EngageNY
Comparing Rational Expressions
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result.
Curated OER
The Number Line
Learners graph and order numbers using a number line. They also solve word problems using fractions and decimals and rewrite equations to solve problems correctly. Several example word problems are given.
Illustrative Mathematics
Salad Dressing
Aunt Barb's salad dressing is a mixture of oil, vinegar, salt, herbs, and a pinch of math. Fifth graders add the fractional measurements of ingredients to find a total amount. The fractions have unlike denominators. After finding the...
Curated OER
Comparing a Number and a Product
Mental math strategies are important for fifth graders to be able to determine the greater sum without actually solving the equations. As a summative assessment, this eight-problem learning exercise can give insight into the...
Curated OER
Algebra, Multiplication, and Division of Fractions
Learners gain knowledge by measuring time and distance for solving unknowns in an equation. They also will design an airplane and chance to communicate mathematically by writing essays.
Curated OER
Geometric Fractals and the Chaos Game
Students define fractals and patterns. They explore how a seemingly random process can result in a pattern. Students practice probability and fractions skills by playing the chaos game online.
Curated OER
Proportion
Students investigate proportion and ratio. In this geometry lesson, students set up the ratios of proportions correctly and solve for the unknown. They relate it to word problems.
Curated OER
Exploring Power Functions 2
Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.
Curated OER
The Candy Conundrum
Students design a candy container that contains a specific amount of candy. They demonstrate how an engineering problem can be solved with math and that there are multiple answers to the problem. They compute volume of spheres.
Texas Instruments
Greatest Common Divisor and Least Common Multiple
Students solve problems using the GCD and LCM. In this algebra lesson plan, students factor and simplify equations using the greatest common and least common factors and multiples. They factor integers in pairs.
Rochester Institute of Technology
Skateboard Assembly - Line Balance
Utilize the lesson on utilization. The second installment of a nine-part technology/engineering series teaches scholars about the flow of a balanced assembly line and the definition of utilization. Videos, activities, and simulations...