West Contra Costa Unified School District
The Power of Ten: Building a Magnitude Model
Add visual representation to teaching place value with a magnitude model. Using adding machine tape, pupils build a linear place value strip from 1 to 100.
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...
EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models
Use a unit approach in developing a fraction division strategy. The teacher leads a discussion on division containing units, resulting in a connection between the units and like denominators. Pupils develop a rule in dividing fractions...
EngageNY
Interpreting Division of a Whole Number by a Fraction—Visual Models
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...
EngageNY
Multiplying and Factoring Polynomial Expressions (part 1)
Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...
Curated OER
Students Multiply Polynomials
Factor polynomial functions that have two and three terms. Using Algeblocks, your class will create models to show their understanding of these concepts.
EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models II
No more inverting and multiplying to divide fractions. Applying concepts of measurement division from the previous lesson, pupils consider partitive division using fraction bars and number lines. They first convert fractions to like...
EngageNY
Creating and Solving Quadratic Equations in One Variable
Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...
EngageNY
Replacing Letters with Numbers II
Teach about properties properly. Individuals investigate the commutative and identity properties for both addition and multiplication. They see that the properties hold true for all values by using substitution to test out several examples.
Curated OER
Does the Area of the Quadrilateral Change?
Students study area and quadrilaterals. In this multiplication and area lesson, students use Polystrip models to change rectangles to form different parallelograms. Students find the area of the models use a Geometer Sketchpad to find...
Pennsylvania Department of Education
Multiplication Using Arrays
Explore the concept of multiplication by using arrays. Classmates use arrays to gain a better understanding of multiplication. They break arrays apart to model the distributive property of multiplication over addition. The relationship...
New York City Department of Education
Isabella’s Garden
Create rows and rows of vegetables. Pupils use their knowledge of multiplication to find the number of vegetable shoots planted in a garden and ways to arrange the vegetables in the performance task. Teachers use the suggested unit...
West Contra Costa Unified School District
Division (No Remainders)
Help young mathematicians build a solid understanding of division with this base ten block activity. With the help of these popular math manipulatives, children model different math problems in order to reinforce the connection between...
Illustrative Mathematics
Karl's Garden
Whose garden is bigger? Assess your class with the area task of finding out if Karl or Makenna's garden is bigger in area.
Curated OER
Operations with Positive Fractions and Decimals
Explore the concept of fractions and decimals! In this fractions and decimals lesson, pupils use fraction tiles to express fractions. They play a fraction review basketball game where when a team gets a question correct they get to shoot...
Curated OER
Calculating Areas of Rectangles
In this geometry worksheet, students calculate the areas of rectangles. They use the formula for area of a rectangle.
Helping with Math
Multiplication: 2-digit x 1-digit to 999
Thirty quick problems make this an ideal assessment when learners are working with two-digit multiplication. Note that this has been identified by the publisher as aligned to meet CCSS.Math.Content.4.NBT.5, it is rather simple and likely...
Curated OER
Multiplication: 2-digit x 1-digit to 99
In this multiplication practice learning exercise, 3rd graders sharpen their math skills as they solve 30 problems that require them to multiply 2-digit numbers by 1-digit numbers.
Illustrative Mathematics
Comparing Products
How can 5th graders show understanding that 30 x 225 is half of 60 x 225 without completing the computation? They can use an area model and draw it out. An array, or an open array, is an area model that allows for young learners to...
New York City Department of Education
Chris’ Garden Dilemma
Make the connections between area, tiling, and multiplication. A performance task and associated unit presents the concept of area and makes the connection to multiplication. Pupils work through three major sections of instruction that...
Curated OER
Finding Area
Fourth graders explore how to find the area of a rectangular object. As a class, they discuss definition of area and strategies for finding area. The teacher models finding the area of an object by counting squares. Students observe...
Curated OER
Area, Arithmetic and Algebra
Students model formulas for rectangles and squares. In this area, arithmetic and algebra lesson, students explore the formula for the area of squares and rectangles. They use squares to model the formula for the area and identify...
Helping with Math
Multiplication: 2-digit x 2-digit
Number crunchers sharpen their math skills as they solve 30 problems requiring them to multiply two-digit numbers by two-digit numbers. Assign this as homework or use it as an assessment after practicing the skill together in class.
Pennsylvania Department of Education
Problem Solving by Using Multiplication to Solve Division Problems
Students use index cards, counting cubes, and their own understanding to identify how division problems can be solved by using multiplication. In this division lesson plan, students use their multiplication skills to solve division...