EngageNY
First Consequences of FTS
Challenge the young mathematicians to find the exact coordinates of a dilated point. The fifth segment in a 16-part series introduces the class to the converse of the Fundamental Theorem of Similarity. Scholars use the theorem to find...
Education Development Center
Logic of Fractions
Before diving into operations with fractions, learners discover the foundation of fractions and how they interact with one another. Exactly as the title says, logic of fractions is the main goal of a resource that shows pupils how...
Curated OER
Number TIC TAC TOE
Working in pairs, young mathematicians will practice number identification with a game of tic-tac-toe. Supplies needed: two 3x3 grids with numbers 1-9 in random order, and two different colored crayons. Player 1 will choose and read a...
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
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...
Illustrative Mathematics
Joining Two Midpoints of Sides of a Triangle
Without ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel lines cut...
EngageNY
Finding One Hundred Percent Given Another Percent
Class members solve problems to find the whole when given a percent. They use double line numbers and factors of hundred to help break the 100 percent into equal segments.
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...
EngageNY
Three-Dimensional Space
How do 2-D properties relate in 3-D? Lead the class in a discussion on how to draw and see relationships of lines and planes in three dimensions. The ability to see these relationships is critical to the further study of volume and other...
Mathematics Assessment Project
Using Positive and Negative Numbers in Context
Measure the temperature of your math class with a temperature-based instructional activity on adding and subtracting rational numbers. The thermometer serves as a vertical number line for learners as they work together to solve a...
EngageNY
Grade 5 Math Module 1, Topic C, Lesson 7
Step up or step down to rounding. Using a vertical number line, the lesson shows pupils the significance of rounding up or rounding down. Teachers encourage scholars to write the number in unit form and decide which form helped the most...
Curated OER
Identifying Linear Functions from Graphs
Keep your mathematicians engaged using this group linear functions activity. Each of ten groups receives two graphs with both an image and equation, as well as a "who has" phrase to call out the next graph. Scholars stay on their toes as...
West Contra Costa Unified School District
Comparing Data Displays
There is so much more to data than just numbers, and this resource has learners use three methods of comparing data in a multi-faceted lesson. The 21-page packet includes a warm-up, examples, an activity, and assessment for a complete...
Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Curated OER
Do Two Points Always Determine a Linear Function II?
Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
Illustrative Mathematics
Do Two Points Always Determine a Linear Function?
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
Curated OER
Pick A Number
Elementary schoolers find out which month has the most class birthdays (mode) and which birthday represents the middle point of all the birthdays (median). They gather and organize data to find one number that fairly represents the whole...
Project Maths
Inequalities
Which number is bigger? Using a variety of activity sheets, this unit starts with the basics of inequalities and progresses through solving compound linear inequalities. Problems cover the range of inequalities including inequality word...
Illustrative Mathematics
Who Has the Best Job?
Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...
02 x 02 Worksheets
Symmetry
Get learners' minds rotating and reflecting while looking for symmetry. Pupils investigate figures to determine the number of lines of symmetry and if the figure has rotational symmetry. Classmates work together in groups to find out the...
EngageNY
Informal Proofs of Properties of Dilations
Challenge the class to prove that the dilation properties always hold. The lesson develops an informal proof of the properties of dilations through a discussion. Two of the proofs are verified with each class member performing the...
Curated OER
The Random Walk
Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on their...
Curated OER
Choral Counting I
Using a 100s chart or a number line with a pointer, work with your class to count up to 100 by ones and tens. As a part of daily instruction, prompt your kindergartners to chant count from 1 to 30. Move on to 1 to 50, and then from 1 to...
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