Illustrative Mathematics
Frog and Toad on the Number Line
Administer a learning activity that challenges your class to use a number line in the form of lily pads. Learners are instructed to display the number of hops that Toad and Frog take during their journey on a number line. Young...
Curated OER
Unit Squares and Triangles
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle...
Curated OER
Explaining the equation for a circle
By first starting with an explicit example of a radius and center point, this challenging lesson tries to help high schoolers gain an understanding of the Pythagorean theorem and the equation of a circle. Once they have accomplished the...
Illustrative Mathematics
Dilating a Line
High School geometers verify through experimentation certain properties about dilations. This multi-step problem challenges them to construct examples of dilations to verify specific facts, the final step provides an opportunity to more...
Illustrative Mathematics
Electoral College
A cross-curricular resource that takes the electoral votes and allows your learners to organize and analyze the data. Young voters can determine which states are more influential and interpret the dotplot provided for more data....
Illustrative Mathematics
Security Camera
A different-than-normal problem that allows learners to practice their reasoning to find an answer. The problem bases itself off a graph drawing of a store that needs to install security cameras. The challenge is to find which placement...
Illustrative Mathematics
Stained Glass
A complex question looking for the total cost of a stained glass window by calculating area and circumference of a circle. With detailed components, this activity will challenge your designers to figure out if they have enough money to...
Curated OER
Find 1
Extend your class's ability to represent unit fractions on a number line with this challenging worksheet. Given two number lines, one labeled with zero and 1/4, the other with zero and 5/3, young scholars must accurately locate the...
Illustrative Mathematics
Comparing Two Different Pizzas
What better way to learn about fractions than with a couple pizzas? Help Jessica figure out how much of the pizza she has eaten, while teaching your class that fractions refer to a specific whole amount. This problem will be challenging...
Illustrative Mathematics
Doubling Numerators and Denominators
Understanding the meaning of fractions is a challenge for many young learners. These two questions examine what happens when the numerator and denominator of a fraction are doubled. Consider allowing students to discuss their ideas...
Illustrative Mathematics
Money in the Piggy Bank
It's time to crack open that piggy bank and see what's inside. First, count up the pennies, nickels, dimes, and quarters, identifying what fraction of them are dimes. Then calculate the total value of the coins, writing another fraction...
Super Teacher Worksheets
Ten Frames
Developing a strong number sense in the primary grades is essential to the success of young mathematicians. These simple worksheets present learners with a series of ten-frames, asking them to write the number shown in each model....
Alberta Learning
Area and Perimeter of Irregular Shapes
Evaluate young mathematicians' understanding of area and perimeter with this series of three assessment tasks. Challenging students to not only calculate the area and perimeter of irregular shapes, but to explain in writing their...
Mathematics Vision Project
Probability
Probability, especially conditional probability, can be a slippery concept for young statisticians. Statements that seem self-evident on the surface often require a daunting amount of calculations to explicate, or turn out to be...
Mathster
Line and Rotational Symmetry
Challenge young mathematicians' understanding of symmetry. Provided with images of different shapes, letters, and national flags, students are tasked with identifying the lines of symmetry and order of rotational symmetry...
Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
West Contra Costa Unified School District
Solving a System by Substitution
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
Math Worksheets Land
Favorite Pizza Pie Graph
You've heard of a pie graph, but what about a pizza pie graph? Challenge young mathematicians to answer ten questions based on a random survey of people's favorite pizzas. A pie graph displays the percentages of each type of pizza. Some...
Math Worksheets Land
Pie or Circle Graphs - Matching Worksheet
It's one thing to be able to read a pie graph, but it's another to analyze a pie graph and match it to its data table. Use a multiple choice worksheet when challenging learners to practice this skill. With six...
Illustrative Mathematics
Identifying Graphs of Functions
Take a matching problem and take challenging exponential graphs and combine to make one thought-provoking question. Learners look at four higher level exponential functions to match to the four graphs placed together. The equations and...
Mathed Up!
Simple Perimeter, Area, and Volume
Young mathematicians find the area and perimeter of shaded shapes on a grid of unit squares. The sheets challenge class members to find the volume of various solid prisms. Each questions also includes the total value of suggest...
Mathed Up!
Negative Numbers
Eight independent worksheet pages challenge scholars to solve 12 problems that focus on negative numbers in the context of temperature in degrees of celsius.
Mathematics Assessment Project
Geometry
Help learners find joy in facing mathematical challenges. The questions posed on this worksheet encourage young mathematicians to utilize skills learned throughout a geometry unit, and to apply themselves and persevere through...
West Contra Costa Unified School District
Pythagorean Theorem and Its Converse
Challenge scholars to prove the Pythagorean Theorem geometrically by using a cut-and-paste activity. They then must solve for the missing sides of right triangles.