Curated OER
Rational and Irrational Numbers
Here is a rational and irrational numbers learning exercise 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.
Illustrative Mathematics
Combined Fuel Efficiency
Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...
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Number and Algebra: Again and Again
Students use a given spreadsheet to investigate an iterative process by changing the variables. They design their own spreadsheet to investigate the iterative process.
Curated OER
Algebra, Multiplication, and Division of Fractions
Students 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
Fraction Pattern Blocks
Seventh graders practice using pattern blocks. For this pre-algebra lesson, 7th graders complete tasks that require them to compare fractions, make fractions equivalent, and add fractions.
Curated OER
Using Inequalities to Problem Solve
Students explore inequalities. In this Algebra I lesson, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division. Students use inequalities to solve and graph real-world problems.
Curated OER
Estimating With Fire
Students solve problems with percents, decimals and fractions. In this algebra lesson plan, students convert between fractions, percents and decimals. They estimate their answers and calculate their answer.
Curated OER
Divide and Conquer
Seventh graders analyze responses to different types of problems. Using pictures and diagrams, they explore and model the division of fractions. Students examine situations that call for division whether with the whole numbers or with...
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Go Negative
Fourth graders advance to new levels in the lesson we're dealing with here. It is the fourth of a sequence of six dealing with the same theme. These develop from Level 2 to Level 5. In the process they involve number concepts at the...
Curated OER
Constructing Tangrams
Seventh graders visualize and identify geometric shapes after applying transformations on a coordinate plane. In this tangrams lesson, 7th graders construct a set of tangrams and then answer extension questions related to measurement,...
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Linear Equations
In this Algebra I worksheet, 8th graders write the equation of a line given two points and given a linear equation determine the slope, x-intercept, y-intercept, and graph the line. The five page worksheet contains ten...
Curated OER
Linear Equations
In this Algebra I worksheet, students determine the graph of the equation of a line. Students determine the x- and y-intercepts and graph. The three page worksheet contains six problems. Answers are not...
Curated OER
Rational Expressions
Students simplify rational expressions. In this algebra instructional activity, students solve rational equations using multiplication and division. They apply properties of exponents and negative exponents to solve the problems.
Helping with Math
Solving Equations with Two-Stepping! (4 of 4)
Here are 12 two-step algebraic equations to be solved. The first problem is completed as an example to your class, but the remaining can be worked right on the page. An answer key is available by clicking on a small box at the top of the...
Curated OER
Proportional Problems 1
Eighth graders explore representing fractions as ratios and proportions. They model proportions through the use of blocks, LEGO gears and activities with bicycle gears and pedals. Students work with bicycle gear boxes to observe and...
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Batting the Unknown
Students use batting averages to provide a measure of a player's past success. They use Algebra to calculate required performance to improve the average. Students compare baseball batting statistics early in the season and late in the...
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Euclidean Algorithm
Learners are introduced to the concept of a Greatest Common Divisor. They review the number systems. Students are told how the entire field of Number Theory primarily uses the integers. They are told the Fundamental Theorem of Algebra.
Curated OER
Converting Celsius to Fahrenheit
In this Algebra I worksheet, 9th graders explore an alternate method for converting Celsius to Fahrenheit and determine the algebra behind the shortcut. The one page worksheet contains one problem. Solution is provided.
Curated OER
Multiplying and Dividing Positives and Negatives
In this algebra worksheet, students solve 20 integer division problems and 16 integer multiplication problems. The first 10 division problems are written to look like fractions.
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Walking Math into the Real World
Students measure an area given a yardstick. They also convert inches into a fractions of a foot and use data to create a linear graph.
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Table Settings
Fifth graders explore and examine how to make organized lists and find patterns to help them solve problems. They identify, analyze and determine a rule for predicting and extending numerical patterns involving operations of whole...
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Tax, Tip and Discount Word Problems
Pupils solve problems involving tax, tips and discounts. In this algebra lesson, students convert between percents and decimals. They calculate commission using conversion from percents and fractions.
Curated OER
Negative Magic Squares
Magic squares are interesting objects in both mathematics proper and in recreational mathematics. So they are objects that children should have heard about and experienced. The problems in this sequence give students the opportunity to...
Curated OER
Chapter 3 - Objective 1.1 Variable Expressions
In this variable expression worksheet, students solve one and two-step variable expressions containing negative numbers and fractions. This one-page worksheet contains ten problems.
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