Illustrative Mathematics
Red and Blue Tiles
Here, second graders are tasked to find the patterns that have an even number of tiles. They are asked to think about why these patterns are even or odd and explain how they know.
Education Development Center
Similar Triangles
Model geometric concepts through a hands-on approach. Learners apply similar triangle relationships to solve for an unknown side length. Before they find the solution, they describe the transformation to help identify corresponding sides.
CK-12 Foundation
Input-Output Tables for Function Rules
How does changing a graph affect the function? Learners watch the changing input-output table as they adjust the location of the line graph. Questions prompt them to complete a table of values and determine the function rule.
CK-12 Foundation
Decimals as Mixed Numbers
Five questions—multiple-choice, true or false, and a discussion—make up an interactive that focuses on decimals as mixed numbers. Moveable blocks assist scholars in finding solutions.
CK-12 Foundation
Comparison of Fractions, Decimals, and Percents: Filling in the Squares
An interactive equipped with five questions challenges mathematicians to convert between fractions, decimals, and percents. A diagram changes its size to visually depict conversions alongside symbols to compare them. Question types...
CK-12 Foundation
Values Written as Powers: Binary Numbers 1 to 8
A six-question interactive tasks scholars with adding binary numbers one through eight. A tool acts as a visual aid to showcase the patterns made when working with base—2, digits zero and one. Question types include fill in the blank,...
Noyce Foundation
Tri-Triangles
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
Noyce Foundation
Poly-Gone
Investigate polygons from rectangles to triangles to octagons. Each level of the five-problem series targets a different grade level. Beginning with the level A problem, learners examine the relationship between area and perimeter by...
Noyce Foundation
Lyle's Triangles
Try five problems on triangles. Levels A and B focus on shapes that can be created from right triangles. Level C touches upon the relationship between the area of a six-pointed star and the area of each triangle of which it is composed....
Mathematics Assessment Project
Maximizing Area: Gold Rush
Presenting ... the gold standard for a lesson. Learners first investigate a task maximizing the area of a plot for gold prospecting. They then examine a set of sample student responses to evaluate their strengths and weaknesses.
Education Development Center
Rectangles with the Same Numerical Area and Perimeter
Is it possible for a rectangle to have the same area and perimeter? If you disregard units, it happens! In a challenging task, groups work to determine the rectangles that meet these criterion. The hope is that learners will naturally...
Illustrative Mathematics
Placing a Fire Hydrant
Triangle centers and the segments that create them easily become an exercise in memorization, without the help of engaging applications like this instructional activity. Here the class investigates the measure of center that is...
Curated OER
Addition and Subtraction using Manipulatives
Sixth graders participate in a question and answer session to begin their understanding. Students complete a practice assignment using color counters. Students' assessment is composed of using color counters to complete an independent...
Curated OER
Math: Are They the Same - or Knot?
Students discover the equivalence between knots and math through a manipulative exploration. In pairs, they select three sets of identical knots and change their forms without breaking the knots apart. Students pass them along to the...
Curated OER
Kindergarten Math Counting
Young scholars practice their counting skills. In this counting practice lesson, students count from one to five orally, write the numbers through five independently, identify the numbers, and use macaroni for a hands on counting activity.
Curated OER
Using inverse Operations to Solve Equations
Fifth graders solve equations. In this algebraic equations lesson plan, 5th graders use the inverse operation to solve an equation. The teacher reminds students to perform the operation on both sides of the equation. This lesson plan...
Curated OER
How Many Pieces of Mail?
Fourth graders explore their multiplication skills. In this number sense lesson, students use their problem solving skills to solve a word problem that requires them to multiply 2 or 3-digit numbers by 1 or 2-digit numbers....
Fuel the Brain
Joining by Tens
Used as a warm-up or exit ticket, your class will enjoy solving problems about dinosaurs and blocks. Adding 10 to any number may be tricky, so allow your learners to use manipulatives or draw on the instructional activity itself!
Curated OER
Logic- Always and Sometimes
Second graders investigate logical reasoning. In this math vocabulary lesson, 2nd graders explore the words: always and sometimes while evaluating story problems. Students create images on KidPix to illustrate their understanding of the...
Curated OER
What Makes Ten
Students investigate the concept of ten and how it is part of the real number system. They find the quantity of ten using as many combinations as possible. They can count using manipulatives, write on paper, or by doing mental math.
Curated OER
Math 212: Vectors
In this vector activity, students find the coordinates of a midpoint, compute the position of vectors, and write a vector equation. This two-page activity contains four problems.
Curated OER
Rice and More Rice
Fifth graders explore problem solving strategies for mathematical estimation. In this math problem solving lesson, 5th graders predict how many grains of rice are in a jar, practice establishing and looking for patterns in...
Curated OER
Math 32 Worksheet: Quadratic Equations
For this quadratic equations worksheet, students solve 12 short-answer problems. Students find real and irrational solutions to given functions. Students raise irrational numbers to irrational powers.
Curated OER
Multiplication Stories
Second graders solve various multiplication math word problems involving cars and people, fish and fish bowls, and tables and table legs. They write and solve multiplication story problems related to whole numbers, addition, subtraction,...