Illustrative Mathematics
Painting a Room
This real-life math problem concentrates on developing the understanding of dividing a unit fraction by a whole number. It allows students to draw out a solution to aid their thinking. The well-written answer sheet describes common...
Curated OER
Picture Board
Learners divide a poster board so everyone gets the same amount of area to decorate. Youngsters talk about the different ways to divide a rectangle. They measure their lines to make sure that each piece is equal and then decorate their...
Curated OER
Mixed Tables
How many pennies does each person get? There are four visual division problems for young mathematicians to solve, and they divide 12 pennies among a set of people for each. They draw the coins above each recipient and then write the...
Curated OER
Jon and Charlie's Run
Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...
Curated OER
Putting the Pieces Together
Children explore fractions on a conceptual level by making individual quilt squares. Each student works with small paper swatches to divide them into pieces that represent a given fraction. The class is then separated into groups and...
Illustrative Mathematics
Representing Half of a Circle
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, students are asked to determine whether or not one half of each circle is shaded. To support...
Illustrative Mathematics
Explaining Fraction Equivalence with Picture
Visual models are a great tool for demonstrating the concept of equivalent fractions. Given two pictures, young mathematicians first identify each fraction and then write an explanation for why they are equivalent. Use as a guided...
Curated OER
Number Problems
Students write equations for problems. In this number lesson, students add, subtract, multiply and divide numbers to solve for a variable. They rewrite word problems using algebraic symbols.
Fraction Bars
Inequality of Fractions
Here is a fine lesson on inequalities of fractions for your third graders. After a modeling session by the teacher, pupils are put into groups and are led through a discovery session using fraction bars and inequalities. The lesson...
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...
Curated OER
Fractions of Shapes
Fraction models are a great way to help scholars visualize this concept, and they focus on thirds with these practice problems. First, there are five shapes each segmented into three even sections. Learners color in one-third of each,...
Illustrative Mathematics
$20 Dot Map
Challenge the addition skills of young learners with this open-ended math problem. The task is simple, get from start to finish by connecting a series of three numbers. The trick is that the sum of the numbers must be less than...
Illustrative Mathematics
Harvesting the Fields
This problem involving rates may look simple at first, but it is actually quite challenging. Two different sized fields are harvested by a team of workers and learners must use different rates to calculate the number of workers on the...
Ohio Department of Education
Writing and Comparing Numbers in Scientific Notation-Grade Eight
Explore scientific notation in this mathematics lesson. Young mathematicians explore multiple representations of large number in scientific notation through the use of models, visual representation and expanded form. The lesson provided...
Curated OER
Estimation
Select items to purchase from a store, add up the total cost, then estimate the total cost! Kids count out the money needed to make the purchase and pay for the items. An excelent way to connect real life math and estimation!
College Preparatory Mathematics
Geometric Probability
In this geometric probability activity, learners solve and complete 12 different problems that include determining the outcomes of various types of probability. First, they use a tree diagram or an area model to compute the desired...
EngageNY
Properties of Area
What properties does area possess? Solidify the area properties that pupils learned in previous years. Groups investigate the five properties using four problems, which then provide the basis for a class discussion.
EngageNY
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.
Curated OER
Equivalent Fraction Paper Strips
Young learners compare the relative values of fractions by making physical representations. They fold and label strips of paper that are equal in length to represent "one whole" and the equal parts that fractions represent. Also, they...
Curated OER
Fractions in Action
Investigate equivalent fractions with your class. They compare and order fractions. Then they work cooperatively in groups to experiment and problem solve with fractions using a game format. Multiple resources are provided.
Curated OER
Solving Problems Involving Subtraction
Here is an excellent lesson plan on solving subtraction word problems using fractions and mixed numbers. Learners complete three activities that will help them to explore and better-understand the world of mixed numbers. Fraction bars...
Illustrative Mathematics
Runners' World
Learners must investigate the validity of a claim made in a running magazine. They must identify and look up unprovided information, make appropriate estimations, and be able to convert units. Might be best used as a group or whole-class...
Illustrative Mathematics
The Florist Shop
A real-world approach to common multiples asks learners to find different groups of flowers based on their multiples. Useable as a class activity or independent exercise, they will have to organize their thoughts to explain the totals of...
Illustrative Mathematics
Operations on the Number Line
A different way to look at integers is on this number line with variables in place of numbers. Learners are to look at different expressions and describe why they think the answer would be positive or negative, depending on the location...