EngageNY
Infinite Decimals
Can you support the argument that the decimal 0.99999 ... is equivalent to the number one? The seventh installment in this 25-part module gives convincing support for this conclusion. Pupils write infinite decimals using powers of 10....
PBS
Plotting Pairs of Coordinate Points in All Four Quadrants to Construct Lines
Your young graphers are motivated by watching three Cyberchase videos to plot points in all four quadrants, connect pairs of points to make a line segment, and find the point of intersection of two lines.
EngageNY
Decimal Expansions of Fractions, Part 2
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
CK-12 Foundation
Addition of Integers: Number Blocks
A five-question interactive provides a horizontal number line where integers are stacked on top of one another to find solutions of addition problems. Mathematicians move numbers to the numbers line, as numbers build higher, the sum of...
Curated OER
Add Positive And Negative Numbers
Scholars investigate the concept of adding positive and negative numbers. They practice adding using the number line for scaffolding. This can be done as a game for younger learners, but may also be helpful for engaging the older pupils.
Math Worksheet
Find the Midpoint of a Line Segment
How many times can you find the midpoint of a line segment given two points? Well, more times than anyone probably needs to with these ten different worksheets, each with 24 problems. All the points used in the problems are positive and...
EngageNY
Translating Lines
Define parallel lines through transformations. The third lesson of 18 examines the result of the translation of a line. Two possible outcomes include coinciding lines and parallel lines.
EngageNY
Some Facts About Graphs of Linear Equations in Two Variables
Develop another way to find the equation of a line. The instructional activity introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.
EngageNY
The Slope of a Non-Vertical Line
This lesson introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...
EngageNY
The Graph of a Linear Equation in Two Variables Is a Line
Show your class that linear equations produce graphs of lines. The 20th segment in a unit of 33 provides proof that the graph of a two-variable linear equation is a line. Scholars graph linear equations using two points, either from...
EngageNY
The Defining Equation of a Line
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
University of Utah
Representations of a Line
Line up to learn about lines! Scholars discover how to express patterns as linear functions. The workbook then covers how to graph and write linear equations in slope-intercept form, as well as how to write equations of parallel and...
EngageNY
The Computation of the Slope of a Non-Vertical Line
Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...
EngageNY
Angles Associated with Parallel Lines
Explore angle relationships created by parallel lines and transversals. The 13th lesson plan of 18 prompts scholars use transparency paper to discover angle relationships related to transversals. Learners find out that these angles pairs...
Illustrative Mathematics
Cell Phone Plans
Turn your classroom into a local cell phone store. Then, have your cell phone agents use linear equations to visually display three cell plans and their advantages. It makes for a great group project. Discuss how to decide which plan is...
EngageNY
The Graph of a Linear Equation in Two Variables
Add more points on the graph ... and it still remains a line! The 13th installment in a series of 33 leads the class to the understanding that the graph of linear equation is a line. Pupils find several solutions to a two-variable linear...
MathMovesU
Negative Numbers Practice
A collection of nine integer worksheets, middle schoolers practice computing the positive and negative values in a variety of problems. Adding, subtracting, multiplying, and dividing integers are the skills conveyed in these resources.
PBS
Plotting Pairs of Coordinate Points in all Four Quadrants to Construct Lines
Here is a instructional activity on coordinates that has pupils view three Cyberchase video clips illustrating the definition of "point" and "line." Along the way, learners will discuss what characters from the videos do, and where...
Curated OER
Jumping the Number Line - Decimal Fractions (Hundredths)
Students demonstrate how to add decimal fractions (tenths and hundredths) by using the jumping the number line strategy. They complete a variety of problems on a worksheet, attempting to solve them mentally, then recording the answers on...
Curated OER
Absolute Value and Basic Operations With Real Numbers
Middle schoolers investigate the mathematical concept of absolute value by counting the number of steps taken in two directions. Using the number line the teacher can note how they can forward and backward without changing the absolute...
Curated OER
Ordering Rational Numbers and Finding Their Approximate
Middle schoolers explore the concept of ordering rational numbers on a number line. They represent rational numbers as decimals and percents. Pupils create a foldable about converting fractions to decimals to percents, and use a...
PBS
Remove One
With a set of 15 chips and a number line, learners predict what sums may occur with the rolling of two dice. When their sum comes up, they remove one of the chips from their number line with the objective of being the first to remove...
Curated OER
Absolute Value Bingo
Students explore some different concepts in relation to using a number line for instruction. Given some number values, they graph the position on the number line. The instructional activity ends with them playing Bingo.
Curated OER
Measuring Segments
Middle and high schoolers solve 14 problems that include finding the distance between two points in different situations. First, they refer to a number line to find the measure of each point on the line. Then, pupils refer to the...
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